Average Error: 0.0 → 0.0
Time: 8.2s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(d3 + 37\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(d3 + 37\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r5223345 = d1;
        double r5223346 = d2;
        double r5223347 = r5223345 * r5223346;
        double r5223348 = d3;
        double r5223349 = 5.0;
        double r5223350 = r5223348 + r5223349;
        double r5223351 = r5223350 * r5223345;
        double r5223352 = r5223347 + r5223351;
        double r5223353 = 32.0;
        double r5223354 = r5223345 * r5223353;
        double r5223355 = r5223352 + r5223354;
        return r5223355;
}
↓
double f(double d1, double d2, double d3) {
        double r5223356 = d2;
        double r5223357 = d3;
        double r5223358 = 37.0;
        double r5223359 = r5223357 + r5223358;
        double r5223360 = r5223356 + r5223359;
        double r5223361 = d1;
        double r5223362 = r5223360 * r5223361;
        return r5223362;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019154 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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