Average Error: 0.0 → 0.0
Time: 8.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r171473 = d1;
        double r171474 = d2;
        double r171475 = r171473 * r171474;
        double r171476 = d3;
        double r171477 = 5.0;
        double r171478 = r171476 + r171477;
        double r171479 = r171478 * r171473;
        double r171480 = r171475 + r171479;
        double r171481 = 32.0;
        double r171482 = r171473 * r171481;
        double r171483 = r171480 + r171482;
        return r171483;
}
↓
double f(double d1, double d2, double d3) {
        double r171484 = d1;
        double r171485 = d3;
        double r171486 = 5.0;
        double r171487 = r171485 + r171486;
        double r171488 = 32.0;
        double r171489 = r171487 + r171488;
        double r171490 = d2;
        double r171491 = r171489 + r171490;
        double r171492 = r171484 * r171491;
        return r171492;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019326 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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