Average Error: 0.0 → 0.0
Time: 8.5s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(32 + d2\right) + \left(d3 + 5\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(32 + d2\right) + \left(d3 + 5\right)\right)
double f(double d1, double d2, double d3) {
        double r133353 = d1;
        double r133354 = d2;
        double r133355 = r133353 * r133354;
        double r133356 = d3;
        double r133357 = 5.0;
        double r133358 = r133356 + r133357;
        double r133359 = r133358 * r133353;
        double r133360 = r133355 + r133359;
        double r133361 = 32.0;
        double r133362 = r133353 * r133361;
        double r133363 = r133360 + r133362;
        return r133363;
}
↓
double f(double d1, double d2, double d3) {
        double r133364 = d1;
        double r133365 = 32.0;
        double r133366 = d2;
        double r133367 = r133365 + r133366;
        double r133368 = d3;
        double r133369 = 5.0;
        double r133370 = r133368 + r133369;
        double r133371 = r133367 + r133370;
        double r133372 = r133364 * r133371;
        return r133372;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)}\]
  3. Using strategy rm

  4. Applied associate-+r+0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019325 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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