Average Error: 0.0 → 0.0
Time: 15.0s
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 r8699119 = d1;
        double r8699120 = d2;
        double r8699121 = r8699119 * r8699120;
        double r8699122 = d3;
        double r8699123 = 5.0;
        double r8699124 = r8699122 + r8699123;
        double r8699125 = r8699124 * r8699119;
        double r8699126 = r8699121 + r8699125;
        double r8699127 = 32.0;
        double r8699128 = r8699119 * r8699127;
        double r8699129 = r8699126 + r8699128;
        return r8699129;
}
↓
double f(double d1, double d2, double d3) {
        double r8699130 = 37.0;
        double r8699131 = d3;
        double r8699132 = r8699130 + r8699131;
        double r8699133 = d2;
        double r8699134 = r8699132 + r8699133;
        double r8699135 = d1;
        double r8699136 = r8699134 * r8699135;
        return r8699136;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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