Average Error: 0.0 → 0.0
Time: 7.6s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)
double f(double d1, double d2, double d3) {
        double r222806 = d1;
        double r222807 = d2;
        double r222808 = r222806 * r222807;
        double r222809 = d3;
        double r222810 = 5.0;
        double r222811 = r222809 + r222810;
        double r222812 = r222811 * r222806;
        double r222813 = r222808 + r222812;
        double r222814 = 32.0;
        double r222815 = r222806 * r222814;
        double r222816 = r222813 + r222815;
        return r222816;
}
↓
double f(double d1, double d2, double d3) {
        double r222817 = d1;
        double r222818 = d3;
        double r222819 = 32.0;
        double r222820 = r222818 + r222819;
        double r222821 = 5.0;
        double r222822 = d2;
        double r222823 = r222821 + r222822;
        double r222824 = r222820 + r222823;
        double r222825 = r222817 * r222824;
        return r222825;
}

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

    \[\leadsto \color{blue}{\left(\left(d2 + 5\right) + \left(d3 + 32\right)\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)\]

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))