Average Error: 0.0 → 0.0
Time: 26.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d2\right) + d3\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d2\right) + d3\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r45764072 = d1;
        double r45764073 = d2;
        double r45764074 = r45764072 * r45764073;
        double r45764075 = d3;
        double r45764076 = 5.0;
        double r45764077 = r45764075 + r45764076;
        double r45764078 = r45764077 * r45764072;
        double r45764079 = r45764074 + r45764078;
        double r45764080 = 32.0;
        double r45764081 = r45764072 * r45764080;
        double r45764082 = r45764079 + r45764081;
        return r45764082;
}
↓
double f(double d1, double d2, double d3) {
        double r45764083 = 37.0;
        double r45764084 = d2;
        double r45764085 = r45764083 + r45764084;
        double r45764086 = d3;
        double r45764087 = r45764085 + r45764086;
        double r45764088 = d1;
        double r45764089 = r45764087 * r45764088;
        return r45764089;
}

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{d1 \cdot \left(\left(37 + d2\right) + d3\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(37 + d2\right) + d3\right) \cdot d1\]

Reproduce

herbie shell --seed 2019125 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))