Average Error: 0.0 → 0.0
Time: 1.2s
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 r280398 = d1;
        double r280399 = d2;
        double r280400 = r280398 * r280399;
        double r280401 = d3;
        double r280402 = 5.0;
        double r280403 = r280401 + r280402;
        double r280404 = r280403 * r280398;
        double r280405 = r280400 + r280404;
        double r280406 = 32.0;
        double r280407 = r280398 * r280406;
        double r280408 = r280405 + r280407;
        return r280408;
}
↓
double f(double d1, double d2, double d3) {
        double r280409 = d1;
        double r280410 = d2;
        double r280411 = d3;
        double r280412 = 5.0;
        double r280413 = r280411 + r280412;
        double r280414 = 32.0;
        double r280415 = r280413 + r280414;
        double r280416 = r280410 + r280415;
        double r280417 = r280409 * r280416;
        return r280417;
}

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 2020020 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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