Average Error: 0.0 → 0.0
Time: 9.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(d3 + 37\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(d3 + 37\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r46756386 = d1;
        double r46756387 = d2;
        double r46756388 = r46756386 * r46756387;
        double r46756389 = d3;
        double r46756390 = 5.0;
        double r46756391 = r46756389 + r46756390;
        double r46756392 = r46756391 * r46756386;
        double r46756393 = r46756388 + r46756392;
        double r46756394 = 32.0;
        double r46756395 = r46756386 * r46756394;
        double r46756396 = r46756393 + r46756395;
        return r46756396;
}
↓
double f(double d1, double d2, double d3) {
        double r46756397 = d2;
        double r46756398 = d3;
        double r46756399 = 37.0;
        double r46756400 = r46756398 + r46756399;
        double r46756401 = r46756397 + r46756400;
        double r46756402 = d1;
        double r46756403 = r46756401 * r46756402;
        return r46756403;
}

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

    \[\leadsto \color{blue}{\left(\left(37 + d3\right) + d2\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(d2 + \left(d3 + 37\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019124 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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