Average Error: 0.0 → 0.0
Time: 7.1s
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 r144415 = d1;
        double r144416 = d2;
        double r144417 = r144415 * r144416;
        double r144418 = d3;
        double r144419 = 5.0;
        double r144420 = r144418 + r144419;
        double r144421 = r144420 * r144415;
        double r144422 = r144417 + r144421;
        double r144423 = 32.0;
        double r144424 = r144415 * r144423;
        double r144425 = r144422 + r144424;
        return r144425;
}
↓
double f(double d1, double d2, double d3) {
        double r144426 = d1;
        double r144427 = d3;
        double r144428 = 5.0;
        double r144429 = r144427 + r144428;
        double r144430 = 32.0;
        double r144431 = r144429 + r144430;
        double r144432 = d2;
        double r144433 = r144431 + r144432;
        double r144434 = r144426 * r144433;
        return r144434;
}

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 2019209 +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)))