Average Error: 0.0 → 0.0
Time: 12.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(37 + \left(d3 + d2\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(37 + \left(d3 + d2\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r8954444 = d1;
        double r8954445 = d2;
        double r8954446 = r8954444 * r8954445;
        double r8954447 = d3;
        double r8954448 = 5.0;
        double r8954449 = r8954447 + r8954448;
        double r8954450 = r8954449 * r8954444;
        double r8954451 = r8954446 + r8954450;
        double r8954452 = 32.0;
        double r8954453 = r8954444 * r8954452;
        double r8954454 = r8954451 + r8954453;
        return r8954454;
}
↓
double f(double d1, double d2, double d3) {
        double r8954455 = 37.0;
        double r8954456 = d3;
        double r8954457 = d2;
        double r8954458 = r8954456 + r8954457;
        double r8954459 = r8954455 + r8954458;
        double r8954460 = d1;
        double r8954461 = r8954459 * r8954460;
        return r8954461;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(37 + \left(d2 + d3\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(37 + \left(d3 + d2\right)\right) \cdot d1\]

Reproduce

herbie shell --seed 2019149 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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