Average Error: 0.0 → 0.0
Time: 8.6s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(37 + \left(d3 + d2\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(37 + \left(d3 + d2\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r6312980 = d1;
        double r6312981 = d2;
        double r6312982 = r6312980 * r6312981;
        double r6312983 = d3;
        double r6312984 = 5.0;
        double r6312985 = r6312983 + r6312984;
        double r6312986 = r6312985 * r6312980;
        double r6312987 = r6312982 + r6312986;
        double r6312988 = 32.0;
        double r6312989 = r6312980 * r6312988;
        double r6312990 = r6312987 + r6312989;
        return r6312990;
}
↓
double f(double d1, double d2, double d3) {
        double r6312991 = 37.0;
        double r6312992 = d3;
        double r6312993 = d2;
        double r6312994 = r6312992 + r6312993;
        double r6312995 = r6312991 + r6312994;
        double r6312996 = d1;
        double r6312997 = r6312995 * r6312996;
        return r6312997;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019152 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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