Average Error: 0.0 → 0.0
Time: 10.7s
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 r10775597 = d1;
        double r10775598 = d2;
        double r10775599 = r10775597 * r10775598;
        double r10775600 = d3;
        double r10775601 = 5.0;
        double r10775602 = r10775600 + r10775601;
        double r10775603 = r10775602 * r10775597;
        double r10775604 = r10775599 + r10775603;
        double r10775605 = 32.0;
        double r10775606 = r10775597 * r10775605;
        double r10775607 = r10775604 + r10775606;
        return r10775607;
}
↓
double f(double d1, double d2, double d3) {
        double r10775608 = d1;
        double r10775609 = d3;
        double r10775610 = 32.0;
        double r10775611 = r10775609 + r10775610;
        double r10775612 = 5.0;
        double r10775613 = d2;
        double r10775614 = r10775612 + r10775613;
        double r10775615 = r10775611 + r10775614;
        double r10775616 = r10775608 * r10775615;
        return r10775616;
}

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 2019174 +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)))