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 r142457 = d1;
        double r142458 = d2;
        double r142459 = r142457 * r142458;
        double r142460 = d3;
        double r142461 = 5.0;
        double r142462 = r142460 + r142461;
        double r142463 = r142462 * r142457;
        double r142464 = r142459 + r142463;
        double r142465 = 32.0;
        double r142466 = r142457 * r142465;
        double r142467 = r142464 + r142466;
        return r142467;
}
↓
double f(double d1, double d2, double d3) {
        double r142468 = d1;
        double r142469 = d2;
        double r142470 = d3;
        double r142471 = 5.0;
        double r142472 = r142470 + r142471;
        double r142473 = 32.0;
        double r142474 = r142472 + r142473;
        double r142475 = r142469 + r142474;
        double r142476 = r142468 * r142475;
        return r142476;
}

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 2020064 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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