Average Error: 0.0 → 0.0
Time: 3.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r162311 = d1;
        double r162312 = d2;
        double r162313 = r162311 * r162312;
        double r162314 = d3;
        double r162315 = 5.0;
        double r162316 = r162314 + r162315;
        double r162317 = r162316 * r162311;
        double r162318 = r162313 + r162317;
        double r162319 = 32.0;
        double r162320 = r162311 * r162319;
        double r162321 = r162318 + r162320;
        return r162321;
}
↓
double f(double d1, double d2, double d3) {
        double r162322 = d1;
        double r162323 = d2;
        double r162324 = d3;
        double r162325 = 5.0;
        double r162326 = r162324 + r162325;
        double r162327 = 32.0;
        double r162328 = r162326 + r162327;
        double r162329 = r162323 + r162328;
        double r162330 = r162322 * r162329;
        return r162330;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020059 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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