diff --git a/src/Expr.h b/src/Expr.h
index 5e8abbab4a..d60891f130 100644
--- a/src/Expr.h
+++ b/src/Expr.h
@@ -329,6 +329,11 @@ public:
     // Reduces the expression to one that can appear as a conditional.
     ExprPtr ReduceToConditional(Reducer* c, StmtPtr& red_stmt);
 
+    // Transforms the expression into its form suitable for use in
+    // a conditional. Only meaningful for expressions that return true
+    // for WillTransformInConditional().
+    virtual ExprPtr TransformToConditional(Reducer* c, StmtPtr& red_stmt);
+
     // Reduces the expression to one that can appear as a field
     // assignment.
     ExprPtr ReduceToFieldAssignment(Reducer* c, StmtPtr& red_stmt);
@@ -806,6 +811,7 @@ public:
     bool WillTransform(Reducer* c) const override;
     bool WillTransformInConditional(Reducer* c) const override;
     ExprPtr Reduce(Reducer* c, StmtPtr& red_stmt) override;
+    ExprPtr TransformToConditional(Reducer* c, StmtPtr& red_stmt) override;
 
 protected:
     bool IsTrue(const ExprPtr& e) const;
diff --git a/src/script_opt/Expr.cc b/src/script_opt/Expr.cc
index 0a917d5106..2b5e4910ee 100644
--- a/src/script_opt/Expr.cc
+++ b/src/script_opt/Expr.cc
@@ -274,6 +274,18 @@ StmtPtr Expr::ReduceToSingletons(Reducer* c) {
 }
 
 ExprPtr Expr::ReduceToConditional(Reducer* c, StmtPtr& red_stmt) {
+    if ( WillTransformInConditional(c) ) {
+        auto new_me = TransformToConditional(c, red_stmt);
+
+        // Now that we've transformed, reduce the result for use in a
+        // conditional.
+        StmtPtr red_stmt2;
+        new_me = new_me->ReduceToConditional(c, red_stmt2);
+        red_stmt = MergeStmts(red_stmt, red_stmt2);
+
+        return new_me;
+    }
+
     switch ( tag ) {
         case EXPR_CONST: return ThisPtr();
 
@@ -355,6 +367,13 @@ ExprPtr Expr::ReduceToConditional(Reducer* c, StmtPtr& red_stmt) {
     }
 }
 
+ExprPtr Expr::TransformToConditional(Reducer* c, StmtPtr& red_stmt) {
+    // This shouldn't happen since every expression that can return
+    // true for WillTransformInConditional() should implement this
+    // method.
+    reporter->InternalError("Expr::TransformToConditional called");
+}
+
 ExprPtr Expr::ReduceToFieldAssignment(Reducer* c, StmtPtr& red_stmt) {
     if ( ! IsFieldAssignable(this) || tag == EXPR_NAME )
         return ReduceToSingleton(c, red_stmt);
@@ -1291,7 +1310,7 @@ bool CondExpr::IsReduced(Reducer* c) const {
 }
 
 bool CondExpr::HasReducedOps(Reducer* c) const {
-    return op1->IsSingleton(c) && op2->IsSingleton(c) && op3->IsSingleton(c) && ! op1->IsConst();
+    return ! IsMinOrMax(c) && op1->IsSingleton(c) && op2->IsSingleton(c) && op3->IsSingleton(c) && ! op1->IsConst();
 }
 
 bool CondExpr::WillTransform(Reducer* c) const { return ! HasReducedOps(c); }
@@ -1303,6 +1322,16 @@ ExprPtr CondExpr::Reduce(Reducer* c, StmtPtr& red_stmt) {
         op3 = c->UpdateExpr(op3);
     }
 
+    while ( op1->Tag() == EXPR_NOT ) {
+        op1 = op1->GetOp1();
+        std::swap(op2, op3);
+    }
+
+    if ( IsMinOrMax(c) ) {
+        auto res = TransformToMinOrMax();
+        return res->Reduce(c, red_stmt);
+    }
+
     StmtPtr op1_red_stmt;
     op1 = op1->ReduceToSingleton(c, op1_red_stmt);
 
@@ -1391,6 +1420,36 @@ StmtPtr CondExpr::ReduceToSingletons(Reducer* c) {
     return MergeStmts(red1_stmt, if_else);
 }
 
+bool CondExpr::IsMinOrMax(Reducer* c) const {
+    switch ( op1->Tag() ) {
+        case EXPR_LT:
+        case EXPR_LE:
+        case EXPR_GE:
+        case EXPR_GT: break;
+
+        default: return false;
+    }
+
+    auto relop1 = op1->GetOp1();
+    auto relop2 = op1->GetOp2();
+
+    return (same_expr(relop1, op2) && same_expr(relop2, op3)) || (same_expr(relop1, op3) && same_expr(relop2, op2));
+}
+
+ExprPtr CondExpr::TransformToMinOrMax() const {
+    auto relop1 = op1->GetOp1();
+    auto relop2 = op1->GetOp2();
+
+    auto is_min = (op1->Tag() == EXPR_LT || op1->Tag() == EXPR_LE);
+
+    if ( same_expr(relop1, op3) )
+        is_min = ! is_min;
+
+    auto built_in = is_min ? ScriptOptBuiltinExpr::MINIMUM : ScriptOptBuiltinExpr::MAXIMUM;
+
+    return with_location_of(make_intrusive<ScriptOptBuiltinExpr>(built_in, relop1, relop2), this);
+}
+
 ExprPtr RefExpr::Duplicate() { return SetSucc(new RefExpr(op->Duplicate())); }
 
 bool RefExpr::IsReduced(Reducer* c) const {