Average Error: 0.0 → 0.0
Time: 9.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)
double f(double d1, double d2, double d3) {
        double r8738978 = d1;
        double r8738979 = d2;
        double r8738980 = r8738978 * r8738979;
        double r8738981 = d3;
        double r8738982 = 5.0;
        double r8738983 = r8738981 + r8738982;
        double r8738984 = r8738983 * r8738978;
        double r8738985 = r8738980 + r8738984;
        double r8738986 = 32.0;
        double r8738987 = r8738978 * r8738986;
        double r8738988 = r8738985 + r8738987;
        return r8738988;
}
↓
double f(double d1, double d2, double d3) {
        double r8738989 = d1;
        double r8738990 = d3;
        double r8738991 = 32.0;
        double r8738992 = r8738990 + r8738991;
        double r8738993 = 5.0;
        double r8738994 = d2;
        double r8738995 = r8738993 + r8738994;
        double r8738996 = r8738992 + r8738995;
        double r8738997 = r8738989 * r8738996;
        return r8738997;
}

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

    \[\leadsto \color{blue}{\left(\left(d2 + 5\right) + \left(d3 + 32\right)\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(\left(d3 + 32\right) + \left(5 + d2\right)\right)\]

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))