Average Error: 0.0 → 0.0
Time: 8.6s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(\left(d2 + d3\right) + 32\right) + 5\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r9847803 = d1;
        double r9847804 = d2;
        double r9847805 = r9847803 * r9847804;
        double r9847806 = d3;
        double r9847807 = 5.0;
        double r9847808 = r9847806 + r9847807;
        double r9847809 = r9847808 * r9847803;
        double r9847810 = r9847805 + r9847809;
        double r9847811 = 32.0;
        double r9847812 = r9847803 * r9847811;
        double r9847813 = r9847810 + r9847812;
        return r9847813;
}
↓
double f(double d1, double d2, double d3) {
        double r9847814 = d2;
        double r9847815 = d3;
        double r9847816 = r9847814 + r9847815;
        double r9847817 = 32.0;
        double r9847818 = r9847816 + r9847817;
        double r9847819 = 5.0;
        double r9847820 = r9847818 + r9847819;
        double r9847821 = d1;
        double r9847822 = r9847820 * r9847821;
        return r9847822;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019192 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37.0 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0)))