Average Error: 0.0 → 0.0
Time: 7.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r148910 = d1;
        double r148911 = d2;
        double r148912 = r148910 * r148911;
        double r148913 = d3;
        double r148914 = 5.0;
        double r148915 = r148913 + r148914;
        double r148916 = r148915 * r148910;
        double r148917 = r148912 + r148916;
        double r148918 = 32.0;
        double r148919 = r148910 * r148918;
        double r148920 = r148917 + r148919;
        return r148920;
}
↓
double f(double d1, double d2, double d3) {
        double r148921 = d2;
        double r148922 = d3;
        double r148923 = r148921 + r148922;
        double r148924 = 32.0;
        double r148925 = r148923 + r148924;
        double r148926 = 5.0;
        double r148927 = r148925 + r148926;
        double r148928 = d1;
        double r148929 = r148927 * r148928;
        return r148929;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(\left(\left(d2 + d3\right) + 32\right) + 5\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019194 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))