Average Error: 0.0 → 0.0
Time: 2.7s
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 r242009 = d1;
        double r242010 = d2;
        double r242011 = r242009 * r242010;
        double r242012 = d3;
        double r242013 = 5.0;
        double r242014 = r242012 + r242013;
        double r242015 = r242014 * r242009;
        double r242016 = r242011 + r242015;
        double r242017 = 32.0;
        double r242018 = r242009 * r242017;
        double r242019 = r242016 + r242018;
        return r242019;
}
↓
double f(double d1, double d2, double d3) {
        double r242020 = d1;
        double r242021 = d2;
        double r242022 = d3;
        double r242023 = 5.0;
        double r242024 = r242022 + r242023;
        double r242025 = 32.0;
        double r242026 = r242024 + r242025;
        double r242027 = r242021 + r242026;
        double r242028 = r242020 * r242027;
        return r242028;
}

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 2019304 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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