Average Error: 0.0 → 0.0
Time: 18.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r12334516 = d1;
        double r12334517 = d2;
        double r12334518 = r12334516 * r12334517;
        double r12334519 = d3;
        double r12334520 = 5.0;
        double r12334521 = r12334519 + r12334520;
        double r12334522 = r12334521 * r12334516;
        double r12334523 = r12334518 + r12334522;
        double r12334524 = 32.0;
        double r12334525 = r12334516 * r12334524;
        double r12334526 = r12334523 + r12334525;
        return r12334526;
}
↓
double f(double d1, double d2, double d3) {
        double r12334527 = d2;
        double r12334528 = d3;
        double r12334529 = r12334527 + r12334528;
        double r12334530 = 32.0;
        double r12334531 = r12334529 + r12334530;
        double r12334532 = 5.0;
        double r12334533 = r12334531 + r12334532;
        double r12334534 = d1;
        double r12334535 = r12334533 * r12334534;
        return r12334535;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019171 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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