Average Error: 0.0 → 0.0
Time: 18.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(32 + \left(5 + d2\right)\right) + d3\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(32 + \left(5 + d2\right)\right) + d3\right)
double f(double d1, double d2, double d3) {
        double r13554556 = d1;
        double r13554557 = d2;
        double r13554558 = r13554556 * r13554557;
        double r13554559 = d3;
        double r13554560 = 5.0;
        double r13554561 = r13554559 + r13554560;
        double r13554562 = r13554561 * r13554556;
        double r13554563 = r13554558 + r13554562;
        double r13554564 = 32.0;
        double r13554565 = r13554556 * r13554564;
        double r13554566 = r13554563 + r13554565;
        return r13554566;
}
↓
double f(double d1, double d2, double d3) {
        double r13554567 = d1;
        double r13554568 = 32.0;
        double r13554569 = 5.0;
        double r13554570 = d2;
        double r13554571 = r13554569 + r13554570;
        double r13554572 = r13554568 + r13554571;
        double r13554573 = d3;
        double r13554574 = r13554572 + r13554573;
        double r13554575 = r13554567 * r13554574;
        return r13554575;
}

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

    \[\leadsto \color{blue}{\left(d3 + \left(32 + \left(d2 + 5\right)\right)\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(32 + \left(5 + d2\right)\right) + d3\right)\]

Reproduce

herbie shell --seed 2019168 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))