Average Error: 0.0 → 0.0
Time: 7.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r23844642 = d1;
        double r23844643 = d2;
        double r23844644 = r23844642 * r23844643;
        double r23844645 = d3;
        double r23844646 = 5.0;
        double r23844647 = r23844645 + r23844646;
        double r23844648 = r23844647 * r23844642;
        double r23844649 = r23844644 + r23844648;
        double r23844650 = 32.0;
        double r23844651 = r23844642 * r23844650;
        double r23844652 = r23844649 + r23844651;
        return r23844652;
}
↓
double f(double d1, double d2, double d3) {
        double r23844653 = d2;
        double r23844654 = 37.0;
        double r23844655 = d3;
        double r23844656 = r23844654 + r23844655;
        double r23844657 = r23844653 + r23844656;
        double r23844658 = d1;
        double r23844659 = r23844657 * r23844658;
        return r23844659;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019107 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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