Average Error: 0.0 → 0.0
Time: 16.2s
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 r36965596 = d1;
        double r36965597 = d2;
        double r36965598 = r36965596 * r36965597;
        double r36965599 = d3;
        double r36965600 = 5.0;
        double r36965601 = r36965599 + r36965600;
        double r36965602 = r36965601 * r36965596;
        double r36965603 = r36965598 + r36965602;
        double r36965604 = 32.0;
        double r36965605 = r36965596 * r36965604;
        double r36965606 = r36965603 + r36965605;
        return r36965606;
}
↓
double f(double d1, double d2, double d3) {
        double r36965607 = d2;
        double r36965608 = 37.0;
        double r36965609 = d3;
        double r36965610 = r36965608 + r36965609;
        double r36965611 = r36965607 + r36965610;
        double r36965612 = d1;
        double r36965613 = r36965611 * r36965612;
        return r36965613;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019112 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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