Average Error: 0.0 → 0.0
Time: 10.7s
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 r233508 = d1;
        double r233509 = d2;
        double r233510 = r233508 * r233509;
        double r233511 = d3;
        double r233512 = 5.0;
        double r233513 = r233511 + r233512;
        double r233514 = r233513 * r233508;
        double r233515 = r233510 + r233514;
        double r233516 = 32.0;
        double r233517 = r233508 * r233516;
        double r233518 = r233515 + r233517;
        return r233518;
}
↓
double f(double d1, double d2, double d3) {
        double r233519 = d1;
        double r233520 = d3;
        double r233521 = 5.0;
        double r233522 = r233520 + r233521;
        double r233523 = 32.0;
        double r233524 = r233522 + r233523;
        double r233525 = d2;
        double r233526 = r233524 + r233525;
        double r233527 = r233519 * r233526;
        return r233527;
}

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 2019323 +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)))