Average Error: 0.0 → 0.0
Time: 7.8s
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 r2711253 = d1;
        double r2711254 = d2;
        double r2711255 = r2711253 * r2711254;
        double r2711256 = d3;
        double r2711257 = 5.0;
        double r2711258 = r2711256 + r2711257;
        double r2711259 = r2711258 * r2711253;
        double r2711260 = r2711255 + r2711259;
        double r2711261 = 32.0;
        double r2711262 = r2711253 * r2711261;
        double r2711263 = r2711260 + r2711262;
        return r2711263;
}
↓
double f(double d1, double d2, double d3) {
        double r2711264 = d2;
        double r2711265 = d3;
        double r2711266 = 37.0;
        double r2711267 = r2711265 + r2711266;
        double r2711268 = r2711264 + r2711267;
        double r2711269 = d1;
        double r2711270 = r2711268 * r2711269;
        return r2711270;
}

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 2019153 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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