Average Error: 0.0 → 0.0
Time: 2.8s
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 r367424 = d1;
        double r367425 = d2;
        double r367426 = r367424 * r367425;
        double r367427 = d3;
        double r367428 = 5.0;
        double r367429 = r367427 + r367428;
        double r367430 = r367429 * r367424;
        double r367431 = r367426 + r367430;
        double r367432 = 32.0;
        double r367433 = r367424 * r367432;
        double r367434 = r367431 + r367433;
        return r367434;
}
↓
double f(double d1, double d2, double d3) {
        double r367435 = d1;
        double r367436 = d2;
        double r367437 = d3;
        double r367438 = 5.0;
        double r367439 = r367437 + r367438;
        double r367440 = 32.0;
        double r367441 = r367439 + r367440;
        double r367442 = r367436 + r367441;
        double r367443 = r367435 * r367442;
        return r367443;
}

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 2020036 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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