Average Error: 0.0 → 0.0
Time: 8.5s
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 r9455983 = d1;
        double r9455984 = d2;
        double r9455985 = r9455983 * r9455984;
        double r9455986 = d3;
        double r9455987 = 5.0;
        double r9455988 = r9455986 + r9455987;
        double r9455989 = r9455988 * r9455983;
        double r9455990 = r9455985 + r9455989;
        double r9455991 = 32.0;
        double r9455992 = r9455983 * r9455991;
        double r9455993 = r9455990 + r9455992;
        return r9455993;
}
↓
double f(double d1, double d2, double d3) {
        double r9455994 = 37.0;
        double r9455995 = d3;
        double r9455996 = r9455994 + r9455995;
        double r9455997 = d2;
        double r9455998 = r9455996 + r9455997;
        double r9455999 = d1;
        double r9456000 = r9455998 * r9455999;
        return r9456000;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019135 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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