Average Error: 0.0 → 0.0
Time: 8.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d3\right) + d2\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d3\right) + d2\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r4263208 = d1;
        double r4263209 = d2;
        double r4263210 = r4263208 * r4263209;
        double r4263211 = d3;
        double r4263212 = 5.0;
        double r4263213 = r4263211 + r4263212;
        double r4263214 = r4263213 * r4263208;
        double r4263215 = r4263210 + r4263214;
        double r4263216 = 32.0;
        double r4263217 = r4263208 * r4263216;
        double r4263218 = r4263215 + r4263217;
        return r4263218;
}
↓
double f(double d1, double d2, double d3) {
        double r4263219 = 37.0;
        double r4263220 = d3;
        double r4263221 = r4263219 + r4263220;
        double r4263222 = d2;
        double r4263223 = r4263221 + r4263222;
        double r4263224 = d1;
        double r4263225 = r4263223 * r4263224;
        return r4263225;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019153 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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