Average Error: 0.0 → 0.0
Time: 10.5s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d2 + \left(37 + d3\right)\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(d2 + \left(37 + d3\right)\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r11271110 = d1;
        double r11271111 = d2;
        double r11271112 = r11271110 * r11271111;
        double r11271113 = d3;
        double r11271114 = 5.0;
        double r11271115 = r11271113 + r11271114;
        double r11271116 = r11271115 * r11271110;
        double r11271117 = r11271112 + r11271116;
        double r11271118 = 32.0;
        double r11271119 = r11271110 * r11271118;
        double r11271120 = r11271117 + r11271119;
        return r11271120;
}
↓
double f(double d1, double d2, double d3) {
        double r11271121 = d2;
        double r11271122 = 37.0;
        double r11271123 = d3;
        double r11271124 = r11271122 + r11271123;
        double r11271125 = r11271121 + r11271124;
        double r11271126 = d1;
        double r11271127 = r11271125 * r11271126;
        return r11271127;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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