Average Error: 0.0 → 0.0
Time: 8.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d3\right) + d2\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d3\right) + d2\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r12798859 = d1;
        double r12798860 = d2;
        double r12798861 = r12798859 * r12798860;
        double r12798862 = d3;
        double r12798863 = 5.0;
        double r12798864 = r12798862 + r12798863;
        double r12798865 = r12798864 * r12798859;
        double r12798866 = r12798861 + r12798865;
        double r12798867 = 32.0;
        double r12798868 = r12798859 * r12798867;
        double r12798869 = r12798866 + r12798868;
        return r12798869;
}
↓
double f(double d1, double d2, double d3) {
        double r12798870 = 37.0;
        double r12798871 = d3;
        double r12798872 = r12798870 + r12798871;
        double r12798873 = d2;
        double r12798874 = r12798872 + r12798873;
        double r12798875 = d1;
        double r12798876 = r12798874 * r12798875;
        return r12798876;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019129 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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