Average Error: 0.0 → 0.0
Time: 7.8s
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 r308140 = d1;
        double r308141 = d2;
        double r308142 = r308140 * r308141;
        double r308143 = d3;
        double r308144 = 5.0;
        double r308145 = r308143 + r308144;
        double r308146 = r308145 * r308140;
        double r308147 = r308142 + r308146;
        double r308148 = 32.0;
        double r308149 = r308140 * r308148;
        double r308150 = r308147 + r308149;
        return r308150;
}
↓
double f(double d1, double d2, double d3) {
        double r308151 = d2;
        double r308152 = d3;
        double r308153 = r308151 + r308152;
        double r308154 = 32.0;
        double r308155 = r308153 + r308154;
        double r308156 = 5.0;
        double r308157 = r308155 + r308156;
        double r308158 = d1;
        double r308159 = r308157 * r308158;
        return r308159;
}

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 2019179 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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