Average Error: 0.0 → 0.0
Time: 9.2s
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 r8347839 = d1;
        double r8347840 = d2;
        double r8347841 = r8347839 * r8347840;
        double r8347842 = d3;
        double r8347843 = 5.0;
        double r8347844 = r8347842 + r8347843;
        double r8347845 = r8347844 * r8347839;
        double r8347846 = r8347841 + r8347845;
        double r8347847 = 32.0;
        double r8347848 = r8347839 * r8347847;
        double r8347849 = r8347846 + r8347848;
        return r8347849;
}
↓
double f(double d1, double d2, double d3) {
        double r8347850 = d2;
        double r8347851 = 37.0;
        double r8347852 = d3;
        double r8347853 = r8347851 + r8347852;
        double r8347854 = r8347850 + r8347853;
        double r8347855 = d1;
        double r8347856 = r8347854 * r8347855;
        return r8347856;
}

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 2019135 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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