Average Error: 0.0 → 0.0
Time: 2.3s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r525852 = d1;
        double r525853 = d2;
        double r525854 = r525852 * r525853;
        double r525855 = d3;
        double r525856 = 5.0;
        double r525857 = r525855 + r525856;
        double r525858 = r525857 * r525852;
        double r525859 = r525854 + r525858;
        double r525860 = 32.0;
        double r525861 = r525852 * r525860;
        double r525862 = r525859 + r525861;
        return r525862;
}
↓
double f(double d1, double d2, double d3) {
        double r525863 = d1;
        double r525864 = d2;
        double r525865 = d3;
        double r525866 = 5.0;
        double r525867 = r525865 + r525866;
        double r525868 = 32.0;
        double r525869 = r525867 + r525868;
        double r525870 = r525864 + r525869;
        double r525871 = r525863 * r525870;
        return r525871;
}

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

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]

Reproduce

herbie shell --seed 2019362 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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