Average Error: 0.0 → 0.0
Time: 40.7s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + \left(d3 + 32\right)\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + \left(d3 + 32\right)\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r11517975 = d1;
        double r11517976 = d2;
        double r11517977 = r11517975 * r11517976;
        double r11517978 = d3;
        double r11517979 = 5.0;
        double r11517980 = r11517978 + r11517979;
        double r11517981 = r11517980 * r11517975;
        double r11517982 = r11517977 + r11517981;
        double r11517983 = 32.0;
        double r11517984 = r11517975 * r11517983;
        double r11517985 = r11517982 + r11517984;
        return r11517985;
}
↓
double f(double d1, double d2, double d3) {
        double r11517986 = d2;
        double r11517987 = d3;
        double r11517988 = 32.0;
        double r11517989 = r11517987 + r11517988;
        double r11517990 = r11517986 + r11517989;
        double r11517991 = 5.0;
        double r11517992 = r11517990 + r11517991;
        double r11517993 = d1;
        double r11517994 = r11517992 * r11517993;
        return r11517994;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019200 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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