Average Error: 0.0 → 0.0
Time: 9.7s
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 r8878850 = d1;
        double r8878851 = d2;
        double r8878852 = r8878850 * r8878851;
        double r8878853 = d3;
        double r8878854 = 5.0;
        double r8878855 = r8878853 + r8878854;
        double r8878856 = r8878855 * r8878850;
        double r8878857 = r8878852 + r8878856;
        double r8878858 = 32.0;
        double r8878859 = r8878850 * r8878858;
        double r8878860 = r8878857 + r8878859;
        return r8878860;
}
↓
double f(double d1, double d2, double d3) {
        double r8878861 = 37.0;
        double r8878862 = d3;
        double r8878863 = r8878861 + r8878862;
        double r8878864 = d2;
        double r8878865 = r8878863 + r8878864;
        double r8878866 = d1;
        double r8878867 = r8878865 * r8878866;
        return r8878867;
}

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 2019158 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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