Average Error: 0.0 → 0.0
Time: 10.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(37 + \left(d3 + d2\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(37 + \left(d3 + d2\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r8243542 = d1;
        double r8243543 = d2;
        double r8243544 = r8243542 * r8243543;
        double r8243545 = d3;
        double r8243546 = 5.0;
        double r8243547 = r8243545 + r8243546;
        double r8243548 = r8243547 * r8243542;
        double r8243549 = r8243544 + r8243548;
        double r8243550 = 32.0;
        double r8243551 = r8243542 * r8243550;
        double r8243552 = r8243549 + r8243551;
        return r8243552;
}
↓
double f(double d1, double d2, double d3) {
        double r8243553 = 37.0;
        double r8243554 = d3;
        double r8243555 = d2;
        double r8243556 = r8243554 + r8243555;
        double r8243557 = r8243553 + r8243556;
        double r8243558 = d1;
        double r8243559 = r8243557 * r8243558;
        return r8243559;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019143 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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