Average Error: 0.0 → 0.0
Time: 7.7s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + 32\right) + d2\right)
double f(double d1, double d2, double d3) {
        double r165145 = d1;
        double r165146 = d2;
        double r165147 = r165145 * r165146;
        double r165148 = d3;
        double r165149 = 5.0;
        double r165150 = r165148 + r165149;
        double r165151 = r165150 * r165145;
        double r165152 = r165147 + r165151;
        double r165153 = 32.0;
        double r165154 = r165145 * r165153;
        double r165155 = r165152 + r165154;
        return r165155;
}
↓
double f(double d1, double d2, double d3) {
        double r165156 = d1;
        double r165157 = d3;
        double r165158 = 5.0;
        double r165159 = r165157 + r165158;
        double r165160 = 32.0;
        double r165161 = r165159 + r165160;
        double r165162 = d2;
        double r165163 = r165161 + r165162;
        double r165164 = r165156 * r165163;
        return r165164;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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