Average Error: 0.0 → 0.0
Time: 14.9s
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 r13399023 = d1;
        double r13399024 = d2;
        double r13399025 = r13399023 * r13399024;
        double r13399026 = d3;
        double r13399027 = 5.0;
        double r13399028 = r13399026 + r13399027;
        double r13399029 = r13399028 * r13399023;
        double r13399030 = r13399025 + r13399029;
        double r13399031 = 32.0;
        double r13399032 = r13399023 * r13399031;
        double r13399033 = r13399030 + r13399032;
        return r13399033;
}
↓
double f(double d1, double d2, double d3) {
        double r13399034 = d2;
        double r13399035 = d3;
        double r13399036 = 37.0;
        double r13399037 = r13399035 + r13399036;
        double r13399038 = r13399034 + r13399037;
        double r13399039 = d1;
        double r13399040 = r13399038 * r13399039;
        return r13399040;
}

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 2019162 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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