Average Error: 0.0 → 0.0
Time: 7.7s
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 r134696 = d1;
        double r134697 = d2;
        double r134698 = r134696 * r134697;
        double r134699 = d3;
        double r134700 = 5.0;
        double r134701 = r134699 + r134700;
        double r134702 = r134701 * r134696;
        double r134703 = r134698 + r134702;
        double r134704 = 32.0;
        double r134705 = r134696 * r134704;
        double r134706 = r134703 + r134705;
        return r134706;
}
↓
double f(double d1, double d2, double d3) {
        double r134707 = d1;
        double r134708 = d2;
        double r134709 = d3;
        double r134710 = 5.0;
        double r134711 = r134709 + r134710;
        double r134712 = 32.0;
        double r134713 = r134711 + r134712;
        double r134714 = r134708 + r134713;
        double r134715 = r134707 * r134714;
        return r134715;
}

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 2019298 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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