Average Error: 0.0 → 0.0
Time: 11.6s
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 r9565901 = d1;
        double r9565902 = d2;
        double r9565903 = r9565901 * r9565902;
        double r9565904 = d3;
        double r9565905 = 5.0;
        double r9565906 = r9565904 + r9565905;
        double r9565907 = r9565906 * r9565901;
        double r9565908 = r9565903 + r9565907;
        double r9565909 = 32.0;
        double r9565910 = r9565901 * r9565909;
        double r9565911 = r9565908 + r9565910;
        return r9565911;
}
↓
double f(double d1, double d2, double d3) {
        double r9565912 = 37.0;
        double r9565913 = d3;
        double r9565914 = r9565912 + r9565913;
        double r9565915 = d2;
        double r9565916 = r9565914 + r9565915;
        double r9565917 = d1;
        double r9565918 = r9565916 * r9565917;
        return r9565918;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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