Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r10233199 = d1;
        double r10233200 = d2;
        double r10233201 = r10233199 * r10233200;
        double r10233202 = d3;
        double r10233203 = 5.0;
        double r10233204 = r10233202 + r10233203;
        double r10233205 = r10233204 * r10233199;
        double r10233206 = r10233201 + r10233205;
        double r10233207 = 32.0;
        double r10233208 = r10233199 * r10233207;
        double r10233209 = r10233206 + r10233208;
        return r10233209;
}
↓
double f(double d1, double d2, double d3) {
        double r10233210 = d2;
        double r10233211 = 37.0;
        double r10233212 = d3;
        double r10233213 = r10233211 + r10233212;
        double r10233214 = r10233210 + r10233213;
        double r10233215 = d1;
        double r10233216 = r10233214 * r10233215;
        return r10233216;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019129 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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