Average Error: 0.0 → 0.0
Time: 7.7s
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 r217054 = d1;
        double r217055 = d2;
        double r217056 = r217054 * r217055;
        double r217057 = d3;
        double r217058 = 5.0;
        double r217059 = r217057 + r217058;
        double r217060 = r217059 * r217054;
        double r217061 = r217056 + r217060;
        double r217062 = 32.0;
        double r217063 = r217054 * r217062;
        double r217064 = r217061 + r217063;
        return r217064;
}
↓
double f(double d1, double d2, double d3) {
        double r217065 = d1;
        double r217066 = 32.0;
        double r217067 = d2;
        double r217068 = d3;
        double r217069 = 5.0;
        double r217070 = r217068 + r217069;
        double r217071 = r217067 + r217070;
        double r217072 = r217066 + r217071;
        double r217073 = r217065 * r217072;
        return r217073;
}

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 2019209 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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