Average Error: 0.0 → 0.0
Time: 12.1s
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 r4948193 = d1;
        double r4948194 = d2;
        double r4948195 = r4948193 * r4948194;
        double r4948196 = d3;
        double r4948197 = 5.0;
        double r4948198 = r4948196 + r4948197;
        double r4948199 = r4948198 * r4948193;
        double r4948200 = r4948195 + r4948199;
        double r4948201 = 32.0;
        double r4948202 = r4948193 * r4948201;
        double r4948203 = r4948200 + r4948202;
        return r4948203;
}
↓
double f(double d1, double d2, double d3) {
        double r4948204 = 37.0;
        double r4948205 = d3;
        double r4948206 = d2;
        double r4948207 = r4948205 + r4948206;
        double r4948208 = r4948204 + r4948207;
        double r4948209 = d1;
        double r4948210 = r4948208 * r4948209;
        return r4948210;
}

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 2019142 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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