diff --git a/src/lib.rs b/src/lib.rs
index 47e67aa..7a0add5 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -12,6 +12,7 @@ pub mod pnf;
 pub mod subtype;
 pub mod unification;
 pub mod morphism;
+pub mod morphism_path;
 pub mod steiner_tree;
 
 #[cfg(test)]
diff --git a/src/morphism.rs b/src/morphism.rs
index 9f29ba8..8c7a3f0 100644
--- a/src/morphism.rs
+++ b/src/morphism.rs
@@ -75,15 +75,6 @@ impl<M: Morphism + Clone> MorphismInstance<M> {
 
 //<<<<>>>><<>><><<>><<<*>>><<>><><<>><<<<>>>>\\
 
-#[derive(Clone)]
-pub struct MorphismPath<M: Morphism + Clone> {
-    pub weight: u64,
-    pub cur_type: TypeTerm,
-    pub morphisms: Vec< MorphismInstance<M> >
-}
-
-//<<<<>>>><<>><><<>><<<*>>><<>><><<>><<<<>>>>\\
-
 #[derive(Clone)]
 pub struct MorphismBase<M: Morphism + Clone> {
     morphisms: Vec< M >,
@@ -171,117 +162,6 @@ impl<M: Morphism + Clone> MorphismBase<M> {
         dst_types
     }
 
-    /* try to find shortest morphism-path for a given type
-     */
-    pub fn find_morphism_path(&self, ty: MorphismType
-//        , type_dict: &mut impl TypeDict
-    )
-    -> Option< Vec<MorphismInstance<M>> >
-    {
-        let ty = ty.normalize();
-        let mut queue = vec![
-            MorphismPath::<M> { weight: 0, cur_type: ty.src_type.clone(), morphisms: vec![] }
-        ];
-
-        while ! queue.is_empty() {
-            queue.sort_by( |p1,p2| p2.weight.cmp(&p1.weight));
-
-            if let Some(mut cur_path) = queue.pop() {
-                if let Ok((halo, σ)) = crate::unification::subtype_unify( &cur_path.cur_type, &ty.dst_type ) {
-                    /* found path,
-                     * now apply substitution and trim to variables in terms of each step
-                     */
-                    for n in cur_path.morphisms.iter_mut() {
-                        let src_type = n.m.get_type().src_type;
-                        let dst_type = n.m.get_type().dst_type;
-
-                        let mut new_σ = HashMap::new();
-                        for (k,v) in σ.iter() {
-                            if let TypeID::Var(varid) = k {
-                                if src_type.contains_var(*varid)
-                                || dst_type.contains_var(*varid) {
-                                    new_σ.insert(
-                                        k.clone(),
-                                        v.clone().apply_substitution(&|k| σ.get(k).cloned()).clone().strip()
-                                    );
-                                }
-                            }
-                        }
-                        for (k,v) in n.σ.iter() {
-                            if let TypeID::Var(varid) = k {
-                                if src_type.contains_var(*varid)
-                                || dst_type.contains_var(*varid) {
-                                    new_σ.insert(
-                                        k.clone(),
-                                        v.clone().apply_substitution(&|k| σ.get(k).cloned()).clone().strip()
-                                    );
-                                }
-                            }
-                        }
-
-                        n.halo = n.halo.clone().apply_substitution(
-                            &|k| σ.get(k).cloned()
-                        ).clone().strip().param_normalize();
-
-                        n.σ = new_σ;
-                    }
-
-                    return Some(cur_path.morphisms);
-                }
-
-                //eprintln!("cur path (w ={}) : @ {:?}", cur_path.weight, cur_path.cur_type);//.clone().sugar(type_dict).pretty(type_dict, 0) );
-                for mut next_morph_inst in self.enum_morphisms(&cur_path.cur_type) {
-                    let dst_type = next_morph_inst.get_type().dst_type;
-//                    eprintln!("try morph to {}", dst_type.clone().sugar(type_dict).pretty(type_dict, 0));
-
-                    let mut creates_loop = false;
-
-                    let mut new_path = cur_path.clone();
-                    for n in new_path.morphisms.iter_mut() {
-                        let mut new_σ = HashMap::new();
-
-                        for (k,v) in next_morph_inst.σ.iter() {
-                            new_σ.insert(
-                                k.clone(),
-                                v.clone().apply_substitution(&|k| next_morph_inst.σ.get(k).cloned()).clone()
-                            );
-                        }
-
-                        for (k,v) in n.σ.iter() {
-                            new_σ.insert(
-                                k.clone(),
-                                v.clone().apply_substitution(&|k| next_morph_inst.σ.get(k).cloned()).clone()
-                            );
-                        }
-
-                        n.halo = n.halo.clone().apply_substitution(
-                            &|k| next_morph_inst.σ.get(k).cloned()
-                        ).clone().strip().param_normalize();
-
-                        n.σ = new_σ;
-                    }
-
-                    for m in new_path.morphisms.iter() {
-                        if m.get_type().src_type == dst_type {
-                            creates_loop = true;
-                            break;
-                        }
-                    }
-
-                    if ! creates_loop {
-                        new_path.weight += next_morph_inst.m.weight();
-                        new_path.cur_type = dst_type;
-
-                        new_path.morphisms.push(next_morph_inst);
-                        queue.push(new_path);
-                    }
-                }
-            }
-        }
-        None
-    }
-
-
     pub fn find_direct_morphism(&self,
         ty: &MorphismType,
         dict: &mut impl TypeDict
diff --git a/src/morphism_path.rs b/src/morphism_path.rs
new file mode 100644
index 0000000..2927e6d
--- /dev/null
+++ b/src/morphism_path.rs
@@ -0,0 +1,139 @@
+use {
+    crate::{
+        morphism::{MorphismType, Morphism, MorphismInstance, MorphismBase},
+        dict::*,
+        term::*
+    }
+};
+
+//<<<<>>>><<>><><<>><<<*>>><<>><><<>><<<<>>>>\\
+
+#[derive(Clone)]
+pub struct MorphismPath<M: Morphism + Clone> {
+    pub weight: u64,
+    pub cur_type: TypeTerm,
+    pub morphisms: Vec< MorphismInstance<M> >
+}
+
+//<<<<>>>><<>><><<>><<<*>>><<>><><<>><<<<>>>>\\
+
+pub struct ShortestPathProblem<'a, M: Morphism + Clone> {
+    pub morphism_base: &'a MorphismBase<M>,
+    pub goal: TypeTerm,
+    queue: Vec< MorphismPath<M> >
+}
+
+//<<<<>>>><<>><><<>><<<*>>><<>><><<>><<<<>>>>\\
+
+impl<'a, M:Morphism+Clone> ShortestPathProblem<'a, M> {
+    pub fn new(morphism_base: &'a MorphismBase<M>, ty: MorphismType) -> Self {
+        ShortestPathProblem {
+            morphism_base,
+            queue: vec![
+                MorphismPath::<M> { weight: 0, cur_type: ty.src_type, morphisms: vec![] }
+            ],
+            goal: ty.dst_type
+        }
+    }
+
+    pub fn solve(&mut self) -> Option< Vec<MorphismInstance<M>> > {
+        while ! self.queue.is_empty() {
+            self.queue.sort_by( |p1,p2| p2.weight.cmp(&p1.weight));
+
+            if let Some(mut cur_path) = self.queue.pop() {
+                if let Ok((halo, σ)) = crate::unification::subtype_unify( &cur_path.cur_type, &self.goal ) {
+                    /* found path,
+                     * now apply substitution and trim to variables in terms of each step
+                     */
+                    for n in cur_path.morphisms.iter_mut() {
+                        let src_type = n.m.get_type().src_type;
+                        let dst_type = n.m.get_type().dst_type;
+
+                        let mut new_σ = std::collections::HashMap::new();
+                        for (k,v) in σ.iter() {
+                            if let TypeID::Var(varid) = k {
+                                if src_type.contains_var(*varid)
+                                || dst_type.contains_var(*varid) {
+                                    new_σ.insert(
+                                        k.clone(),
+                                        v.clone().apply_substitution(&|k| σ.get(k).cloned()).clone().strip()
+                                    );
+                                }
+                            }
+                        }
+                        for (k,v) in n.σ.iter() {
+                            if let TypeID::Var(varid) = k {
+                                if src_type.contains_var(*varid)
+                                || dst_type.contains_var(*varid) {
+                                    new_σ.insert(
+                                        k.clone(),
+                                        v.clone().apply_substitution(&|k| σ.get(k).cloned()).clone().strip()
+                                    );
+                                }
+                            }
+                        }
+
+                        n.halo = n.halo.clone().apply_substitution(
+                            &|k| σ.get(k).cloned()
+                        ).clone().strip().param_normalize();
+
+                        n.σ = new_σ;
+                    }
+
+                    return Some(cur_path.morphisms);
+                }
+
+                //eprintln!("cur path (w ={}) : @ {:?}", cur_path.weight, cur_path.cur_type);//.clone().sugar(type_dict).pretty(type_dict, 0) );
+                for mut next_morph_inst in self.morphism_base.enum_morphisms(&cur_path.cur_type) {
+                    let dst_type = next_morph_inst.get_type().dst_type;
+//                    eprintln!("try morph to {}", dst_type.clone().sugar(type_dict).pretty(type_dict, 0));
+
+                    let mut creates_loop = false;
+
+                    let mut new_path = cur_path.clone();
+                    for n in new_path.morphisms.iter_mut() {
+                        let mut new_σ = std::collections::HashMap::new();
+
+                        for (k,v) in next_morph_inst.σ.iter() {
+                            new_σ.insert(
+                                k.clone(),
+                                v.clone().apply_substitution(&|k| next_morph_inst.σ.get(k).cloned()).clone()
+                            );
+                        }
+
+                        for (k,v) in n.σ.iter() {
+                            new_σ.insert(
+                                k.clone(),
+                                v.clone().apply_substitution(&|k| next_morph_inst.σ.get(k).cloned()).clone()
+                            );
+                        }
+
+                        n.halo = n.halo.clone().apply_substitution(
+                            &|k| next_morph_inst.σ.get(k).cloned()
+                        ).clone().strip().param_normalize();
+
+                        n.σ = new_σ;
+                    }
+
+                    for m in new_path.morphisms.iter() {
+                        if m.get_type().src_type == dst_type {
+                            creates_loop = true;
+                            break;
+                        }
+                    }
+
+                    if ! creates_loop {
+                        new_path.weight += next_morph_inst.m.weight();
+                        new_path.cur_type = dst_type;
+
+                        new_path.morphisms.push(next_morph_inst);
+                        self.queue.push(new_path);
+                    }
+                }
+            }
+        }
+        None
+    }
+}
+
+//<<<<>>>><<>><><<>><<<*>>><<>><><<>><<<<>>>>\\
diff --git a/src/steiner_tree.rs b/src/steiner_tree.rs
index f3fa931..65bbe32 100644
--- a/src/steiner_tree.rs
+++ b/src/steiner_tree.rs
@@ -92,12 +92,13 @@ impl PathApproxSteinerTreeSolver {
         for goal in self.leaves {
             eprintln!("solve steiner tree: find path to goal {:?}", goal);
             // try to find shortest path from root to current leaf
-            if let Some(new_path) = morphisms.find_morphism_path(
+            if let Some(new_path) = crate::morphism_path::ShortestPathProblem::new(
+                morphisms,
                 MorphismType {
                     src_type: self.root.clone(),
                     dst_type: goal.clone()
                 }
-            ) {
+            ).solve() {
                 eprintln!("path to {:?} has len {}", goal.clone(), new_path.len());
                 for morph_inst in new_path {
                     let t = morph_inst.get_type();
diff --git a/src/test/morphism.rs b/src/test/morphism.rs
index e6db4a3..9a35969 100644
--- a/src/test/morphism.rs
+++ b/src/test/morphism.rs
@@ -1,5 +1,5 @@
 use {
-    crate::{dict::*, parser::*, unparser::*, morphism::*, TypeTerm}
+    crate::{dict::*, parser::*, unparser::*, morphism::*, TypeTerm, morphism_path::*}
 };
 
 //<<<<>>>><<>><><<>><<<*>>><<>><><<>><<<<>>>>\\
@@ -104,10 +104,10 @@ fn morphism_test_setup() -> ( BimapTypeDict, MorphismBase<DummyMorphism> ) {
 fn test_morphism_path1() {
     let (mut dict, mut base) = morphism_test_setup();
 
-    let path = base.find_morphism_path(MorphismType {
+    let path = ShortestPathProblem::new(&base, MorphismType {
         src_type: dict.parse("<Digit 10> ~ Char").unwrap(),
         dst_type: dict.parse("<Digit 10> ~ ℤ_2^64 ~ machine.UInt64").unwrap(),
-    });
+    }).solve();
 
     assert_eq!(
         path,
@@ -132,10 +132,10 @@ fn test_morphism_path1() {
 fn test_morphism_path2() {
     let (mut dict, mut base) = morphism_test_setup();
 
-    let path = base.find_morphism_path(MorphismType {
+    let path = ShortestPathProblem::new(&base, MorphismType {
         src_type: dict.parse("ℕ ~ <PosInt 10 BigEndian> ~ <Seq <Digit 10> ~ Char>").unwrap(),
         dst_type: dict.parse("ℕ ~ <PosInt 10 BigEndian> ~ <Seq <Digit 10> ~ ℤ_2^64 ~ machine.UInt64>").unwrap(),
-    });
+    }).solve();
 
     assert_eq!(
         path,
@@ -160,10 +160,10 @@ fn test_morphism_path2() {
 fn test_morphism_path3() {
     let (mut dict, mut base) = morphism_test_setup();
 
-    let path = base.find_morphism_path(MorphismType {
+    let path = ShortestPathProblem::new(&base, MorphismType {
         src_type: dict.parse("ℕ ~ <PosInt 10 LittleEndian> ~ <Seq <Digit 10> ~ Char>").unwrap(),
         dst_type: dict.parse("ℕ ~ <PosInt 16 LittleEndian> ~ <Seq <Digit 16> ~ ℤ_2^64 ~ machine.UInt64>").unwrap(),
-    });
+    }).solve();
 
     if let Some(path) = path.as_ref() {
         print_path(&mut dict, path);
@@ -205,10 +205,10 @@ fn test_morphism_path3() {
 fn test_morphism_path4() {
     let (mut dict, mut base) = morphism_test_setup();
 
-    let path = base.find_morphism_path(MorphismType {
+    let path = ShortestPathProblem::new(&base, MorphismType {
         src_type: dict.parse("ℕ ~ <PosInt 10 LittleEndian> ~ <Seq <Digit 10> ~ Char>").unwrap(),
         dst_type: dict.parse("ℕ ~ <PosInt 16 LittleEndian> ~ <Seq <Digit 16> ~ Char>").unwrap()
-    });
+    }).solve();
 
     if let Some(path) = path.as_ref() {
         print_path(&mut dict, path);
@@ -263,10 +263,10 @@ fn test_morphism_path4() {
 fn test_morphism_path_posint() {
     let (mut dict, mut base) = morphism_test_setup();
 
-    let path = base.find_morphism_path(MorphismType {
+    let path = ShortestPathProblem::new(&base, MorphismType {
         src_type: dict.parse("ℕ ~ <PosInt 10 BigEndian> ~ <Seq <Digit 10> ~ Char>").unwrap(),
         dst_type: dict.parse("ℕ ~ <PosInt 16 BigEndian> ~ <Seq <Digit 16> ~ Char>").unwrap(),
-    });
+    }).solve();
 
     if let Some(path) = path.as_ref() {
         print_path(&mut dict, path);
@@ -412,10 +412,10 @@ fn test_morphism_path_listedit()
     );
 
 
-    let path = base.find_morphism_path(MorphismType {
+    let path = ShortestPathProblem::new(&base, MorphismType {
         src_type: dict.parse("<Seq~List~Vec <Digit 10>~Char>").unwrap(),
         dst_type: dict.parse("<Seq~List <Digit 10>~Char> ~ EditTree").unwrap(),
-    });
+    }).solve();
 
     if let Some(path) = path.as_ref() {
         print_path(&mut dict, path);
diff --git a/src/unification.rs b/src/unification.rs
index 767bbde..5072ea4 100644
--- a/src/unification.rs
+++ b/src/unification.rs
@@ -224,7 +224,7 @@ impl UnificationProblem {
         // error
         UnificationError
     > {
-        eprintln!("eval_subtype {:?} <=? {:?}", unification_pair.lhs, unification_pair.rhs);
+        // eprintln!("eval_subtype {:?} <=? {:?}", unification_pair.lhs, unification_pair.rhs);
         match (unification_pair.lhs.clone(), unification_pair.rhs.clone()) {
 
             /*