Average Error: 0.0 → 0.0
Time: 8.3s
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 r229638 = d1;
        double r229639 = d2;
        double r229640 = r229638 * r229639;
        double r229641 = d3;
        double r229642 = 5.0;
        double r229643 = r229641 + r229642;
        double r229644 = r229643 * r229638;
        double r229645 = r229640 + r229644;
        double r229646 = 32.0;
        double r229647 = r229638 * r229646;
        double r229648 = r229645 + r229647;
        return r229648;
}
↓
double f(double d1, double d2, double d3) {
        double r229649 = d1;
        double r229650 = d3;
        double r229651 = 5.0;
        double r229652 = r229650 + r229651;
        double r229653 = 32.0;
        double r229654 = r229652 + r229653;
        double r229655 = d2;
        double r229656 = r229654 + r229655;
        double r229657 = r229649 * r229656;
        return r229657;
}

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 2019326 +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)))