Average Error: 0.0 → 0.0
Time: 10.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + 37\right) + d3\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + 37\right) + d3\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r3194909 = d1;
        double r3194910 = d2;
        double r3194911 = r3194909 * r3194910;
        double r3194912 = d3;
        double r3194913 = 5.0;
        double r3194914 = r3194912 + r3194913;
        double r3194915 = r3194914 * r3194909;
        double r3194916 = r3194911 + r3194915;
        double r3194917 = 32.0;
        double r3194918 = r3194909 * r3194917;
        double r3194919 = r3194916 + r3194918;
        return r3194919;
}
↓
double f(double d1, double d2, double d3) {
        double r3194920 = d2;
        double r3194921 = 37.0;
        double r3194922 = r3194920 + r3194921;
        double r3194923 = d3;
        double r3194924 = r3194922 + r3194923;
        double r3194925 = d1;
        double r3194926 = r3194924 * r3194925;
        return r3194926;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019139 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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