diff --git a/src/expr.cpp b/src/expr.cpp
index 8d6600d..add6c8b 100644
--- a/src/expr.cpp
+++ b/src/expr.cpp
@@ -219,6 +219,35 @@ Expr *Expr::From(hParam p) {
 }
 
 Expr *Expr::From(double v) {
+    // Statically allocate common constants.
+    // Note: this is only valid because AllocExpr() uses AllocTemporary(),
+    // and Expr* is never explicitly freed.
+
+    if(v == 0.0) {
+        static Expr zero(0.0);
+        return &zero;
+    }
+
+    if(v == 1.0) {
+        static Expr one(1.0);
+        return &one;
+    }
+
+    if(v == -1.0) {
+        static Expr mone(-1.0);
+        return &mone;
+    }
+
+    if(v == 0.5) {
+        static Expr half(0.5);
+        return ½
+    }
+
+    if(v == -0.5) {
+        static Expr mhalf(-0.5);
+        return &mhalf;
+    }
+
     Expr *r = AllocExpr();
     r->op = CONSTANT;
     r->x.v = v;
diff --git a/src/expr.h b/src/expr.h
index 30f7b26..d53b0b2 100644
--- a/src/expr.h
+++ b/src/expr.h
@@ -63,6 +63,9 @@ public:
         char    c;
     }       x;
 
+    Expr() { }
+    Expr(double v) : op(CONSTANT) { x.v = v; }
+    
     static inline Expr *AllocExpr(void)
         { return (Expr *)AllocTemporary(sizeof(Expr)); }