Average Error: 0.0 → 0.0
Time: 6.0s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r195459 = d1;
        double r195460 = d2;
        double r195461 = r195459 * r195460;
        double r195462 = d3;
        double r195463 = 5.0;
        double r195464 = r195462 + r195463;
        double r195465 = r195464 * r195459;
        double r195466 = r195461 + r195465;
        double r195467 = 32.0;
        double r195468 = r195459 * r195467;
        double r195469 = r195466 + r195468;
        return r195469;
}
↓
double f(double d1, double d2, double d3) {
        double r195470 = d1;
        double r195471 = 32.0;
        double r195472 = d2;
        double r195473 = d3;
        double r195474 = 5.0;
        double r195475 = r195473 + r195474;
        double r195476 = r195472 + r195475;
        double r195477 = r195471 + r195476;
        double r195478 = r195470 * r195477;
        return r195478;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020045 +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)))