Average Error: 0.0 → 0.0
Time: 1.9s
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 r126447 = d1;
        double r126448 = d2;
        double r126449 = r126447 * r126448;
        double r126450 = d3;
        double r126451 = 5.0;
        double r126452 = r126450 + r126451;
        double r126453 = r126452 * r126447;
        double r126454 = r126449 + r126453;
        double r126455 = 32.0;
        double r126456 = r126447 * r126455;
        double r126457 = r126454 + r126456;
        return r126457;
}
↓
double f(double d1, double d2, double d3) {
        double r126458 = d1;
        double r126459 = d2;
        double r126460 = d3;
        double r126461 = 5.0;
        double r126462 = r126460 + r126461;
        double r126463 = 32.0;
        double r126464 = r126462 + r126463;
        double r126465 = r126459 + r126464;
        double r126466 = r126458 * r126465;
        return r126466;
}

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 2020062 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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