Average Error: 0.0 → 0.0
Time: 8.2s
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 r654476 = d1;
        double r654477 = d2;
        double r654478 = r654476 * r654477;
        double r654479 = d3;
        double r654480 = 5.0;
        double r654481 = r654479 + r654480;
        double r654482 = r654481 * r654476;
        double r654483 = r654478 + r654482;
        double r654484 = 32.0;
        double r654485 = r654476 * r654484;
        double r654486 = r654483 + r654485;
        return r654486;
}
↓
double f(double d1, double d2, double d3) {
        double r654487 = d1;
        double r654488 = 32.0;
        double r654489 = d2;
        double r654490 = d3;
        double r654491 = 5.0;
        double r654492 = r654490 + r654491;
        double r654493 = r654489 + r654492;
        double r654494 = r654488 + r654493;
        double r654495 = r654487 * r654494;
        return r654495;
}

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 2020043 +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)))