Average Error: 0.0 → 0.0
Time: 12.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(d3 + 37\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(d3 + 37\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r8880978 = d1;
        double r8880979 = d2;
        double r8880980 = r8880978 * r8880979;
        double r8880981 = d3;
        double r8880982 = 5.0;
        double r8880983 = r8880981 + r8880982;
        double r8880984 = r8880983 * r8880978;
        double r8880985 = r8880980 + r8880984;
        double r8880986 = 32.0;
        double r8880987 = r8880978 * r8880986;
        double r8880988 = r8880985 + r8880987;
        return r8880988;
}
↓
double f(double d1, double d2, double d3) {
        double r8880989 = d2;
        double r8880990 = d3;
        double r8880991 = 37.0;
        double r8880992 = r8880990 + r8880991;
        double r8880993 = r8880989 + r8880992;
        double r8880994 = d1;
        double r8880995 = r8880993 * r8880994;
        return r8880995;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019130 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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