Average Error: 0.0 → 0.0
Time: 9.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(37 + \left(d3 + d2\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(37 + \left(d3 + d2\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r7144714 = d1;
        double r7144715 = d2;
        double r7144716 = r7144714 * r7144715;
        double r7144717 = d3;
        double r7144718 = 5.0;
        double r7144719 = r7144717 + r7144718;
        double r7144720 = r7144719 * r7144714;
        double r7144721 = r7144716 + r7144720;
        double r7144722 = 32.0;
        double r7144723 = r7144714 * r7144722;
        double r7144724 = r7144721 + r7144723;
        return r7144724;
}
↓
double f(double d1, double d2, double d3) {
        double r7144725 = 37.0;
        double r7144726 = d3;
        double r7144727 = d2;
        double r7144728 = r7144726 + r7144727;
        double r7144729 = r7144725 + r7144728;
        double r7144730 = d1;
        double r7144731 = r7144729 * r7144730;
        return r7144731;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019144 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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