Average Error: 0.0 → 0.0
Time: 1.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r190526 = d1;
        double r190527 = d2;
        double r190528 = r190526 * r190527;
        double r190529 = d3;
        double r190530 = 5.0;
        double r190531 = r190529 + r190530;
        double r190532 = r190531 * r190526;
        double r190533 = r190528 + r190532;
        double r190534 = 32.0;
        double r190535 = r190526 * r190534;
        double r190536 = r190533 + r190535;
        return r190536;
}
↓
double f(double d1, double d2, double d3) {
        double r190537 = d1;
        double r190538 = d2;
        double r190539 = d3;
        double r190540 = 5.0;
        double r190541 = r190539 + r190540;
        double r190542 = 32.0;
        double r190543 = r190541 + r190542;
        double r190544 = r190538 + r190543;
        double r190545 = r190537 * r190544;
        return r190545;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020025 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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