Average Error: 0.0 → 0.0
Time: 49.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r55821877 = d1;
        double r55821878 = d2;
        double r55821879 = r55821877 * r55821878;
        double r55821880 = d3;
        double r55821881 = 5.0;
        double r55821882 = r55821880 + r55821881;
        double r55821883 = r55821882 * r55821877;
        double r55821884 = r55821879 + r55821883;
        double r55821885 = 32.0;
        double r55821886 = r55821877 * r55821885;
        double r55821887 = r55821884 + r55821886;
        return r55821887;
}
↓
double f(double d1, double d2, double d3) {
        double r55821888 = d2;
        double r55821889 = 37.0;
        double r55821890 = d3;
        double r55821891 = r55821889 + r55821890;
        double r55821892 = r55821888 + r55821891;
        double r55821893 = d1;
        double r55821894 = r55821892 * r55821893;
        return r55821894;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019128 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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