Average Error: 0.0 → 0.0
Time: 7.8s
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 r3222834 = d1;
        double r3222835 = d2;
        double r3222836 = r3222834 * r3222835;
        double r3222837 = d3;
        double r3222838 = 5.0;
        double r3222839 = r3222837 + r3222838;
        double r3222840 = r3222839 * r3222834;
        double r3222841 = r3222836 + r3222840;
        double r3222842 = 32.0;
        double r3222843 = r3222834 * r3222842;
        double r3222844 = r3222841 + r3222843;
        return r3222844;
}
↓
double f(double d1, double d2, double d3) {
        double r3222845 = d2;
        double r3222846 = 37.0;
        double r3222847 = d3;
        double r3222848 = r3222846 + r3222847;
        double r3222849 = r3222845 + r3222848;
        double r3222850 = d1;
        double r3222851 = r3222849 * r3222850;
        return r3222851;
}

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 2019133 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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