Average Error: 0.0 → 0.0
Time: 7.4s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(\left(\left(d3 + 5\right) + d2\right) + 32\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(\left(\left(d3 + 5\right) + d2\right) + 32\right)
double f(double d1, double d2, double d3) {
        double r287148 = d1;
        double r287149 = d2;
        double r287150 = r287148 * r287149;
        double r287151 = d3;
        double r287152 = 5.0;
        double r287153 = r287151 + r287152;
        double r287154 = r287153 * r287148;
        double r287155 = r287150 + r287154;
        double r287156 = 32.0;
        double r287157 = r287148 * r287156;
        double r287158 = r287155 + r287157;
        return r287158;
}
↓
double f(double d1, double d2, double d3) {
        double r287159 = d1;
        double r287160 = d3;
        double r287161 = 5.0;
        double r287162 = r287160 + r287161;
        double r287163 = d2;
        double r287164 = r287162 + r287163;
        double r287165 = 32.0;
        double r287166 = r287164 + r287165;
        double r287167 = r287159 * r287166;
        return r287167;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020045 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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