Average Error: 0.0 → 0.0
Time: 14.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d3\right) + d2\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d3\right) + d2\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r10632529 = d1;
        double r10632530 = d2;
        double r10632531 = r10632529 * r10632530;
        double r10632532 = d3;
        double r10632533 = 5.0;
        double r10632534 = r10632532 + r10632533;
        double r10632535 = r10632534 * r10632529;
        double r10632536 = r10632531 + r10632535;
        double r10632537 = 32.0;
        double r10632538 = r10632529 * r10632537;
        double r10632539 = r10632536 + r10632538;
        return r10632539;
}
↓
double f(double d1, double d2, double d3) {
        double r10632540 = 37.0;
        double r10632541 = d3;
        double r10632542 = r10632540 + r10632541;
        double r10632543 = d2;
        double r10632544 = r10632542 + r10632543;
        double r10632545 = d1;
        double r10632546 = r10632544 * r10632545;
        return r10632546;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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