Average Error: 0.0 → 0.0
Time: 6.5s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + d3\right) + \left(5 + 32\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + d3\right) + \left(5 + 32\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r3981714 = d1;
        double r3981715 = d2;
        double r3981716 = r3981714 * r3981715;
        double r3981717 = d3;
        double r3981718 = 5.0;
        double r3981719 = r3981717 + r3981718;
        double r3981720 = r3981719 * r3981714;
        double r3981721 = r3981716 + r3981720;
        double r3981722 = 32.0;
        double r3981723 = r3981714 * r3981722;
        double r3981724 = r3981721 + r3981723;
        return r3981724;
}
↓
double f(double d1, double d2, double d3) {
        double r3981725 = d2;
        double r3981726 = d3;
        double r3981727 = r3981725 + r3981726;
        double r3981728 = 5.0;
        double r3981729 = 32.0;
        double r3981730 = r3981728 + r3981729;
        double r3981731 = r3981727 + r3981730;
        double r3981732 = d1;
        double r3981733 = r3981731 * r3981732;
        return r3981733;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019134 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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