Average Error: 0.0 → 0.0
Time: 9.2s
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 r136556 = d1;
        double r136557 = d2;
        double r136558 = r136556 * r136557;
        double r136559 = d3;
        double r136560 = 5.0;
        double r136561 = r136559 + r136560;
        double r136562 = r136561 * r136556;
        double r136563 = r136558 + r136562;
        double r136564 = 32.0;
        double r136565 = r136556 * r136564;
        double r136566 = r136563 + r136565;
        return r136566;
}
↓
double f(double d1, double d2, double d3) {
        double r136567 = d1;
        double r136568 = d3;
        double r136569 = 5.0;
        double r136570 = r136568 + r136569;
        double r136571 = 32.0;
        double r136572 = r136570 + r136571;
        double r136573 = d2;
        double r136574 = r136572 + r136573;
        double r136575 = r136567 * r136574;
        return r136575;
}

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 2019235 +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)))