Average Error: 0.0 → 0.0
Time: 7.1s
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 r3684860 = d1;
        double r3684861 = d2;
        double r3684862 = r3684860 * r3684861;
        double r3684863 = d3;
        double r3684864 = 5.0;
        double r3684865 = r3684863 + r3684864;
        double r3684866 = r3684865 * r3684860;
        double r3684867 = r3684862 + r3684866;
        double r3684868 = 32.0;
        double r3684869 = r3684860 * r3684868;
        double r3684870 = r3684867 + r3684869;
        return r3684870;
}
↓
double f(double d1, double d2, double d3) {
        double r3684871 = 37.0;
        double r3684872 = d3;
        double r3684873 = r3684871 + r3684872;
        double r3684874 = d2;
        double r3684875 = r3684873 + r3684874;
        double r3684876 = d1;
        double r3684877 = r3684875 * r3684876;
        return r3684877;
}

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 2019153 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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