Average Error: 0.0 → 0.0
Time: 7.9s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r298984 = d1;
        double r298985 = d2;
        double r298986 = r298984 * r298985;
        double r298987 = d3;
        double r298988 = 5.0;
        double r298989 = r298987 + r298988;
        double r298990 = r298989 * r298984;
        double r298991 = r298986 + r298990;
        double r298992 = 32.0;
        double r298993 = r298984 * r298992;
        double r298994 = r298991 + r298993;
        return r298994;
}
↓
double f(double d1, double d2, double d3) {
        double r298995 = d1;
        double r298996 = 32.0;
        double r298997 = d2;
        double r298998 = d3;
        double r298999 = 5.0;
        double r299000 = r298998 + r298999;
        double r299001 = r298997 + r299000;
        double r299002 = r298996 + r299001;
        double r299003 = r298995 * r299002;
        return r299003;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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