Average Error: 0.0 → 0.0
Time: 5.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(32 + \left(d2 + \left(d3 + 5\right)\right)\right)
double f(double d1, double d2, double d3) {
        double r153141 = d1;
        double r153142 = d2;
        double r153143 = r153141 * r153142;
        double r153144 = d3;
        double r153145 = 5.0;
        double r153146 = r153144 + r153145;
        double r153147 = r153146 * r153141;
        double r153148 = r153143 + r153147;
        double r153149 = 32.0;
        double r153150 = r153141 * r153149;
        double r153151 = r153148 + r153150;
        return r153151;
}
↓
double f(double d1, double d2, double d3) {
        double r153152 = d1;
        double r153153 = 32.0;
        double r153154 = d2;
        double r153155 = d3;
        double r153156 = 5.0;
        double r153157 = r153155 + r153156;
        double r153158 = r153154 + r153157;
        double r153159 = r153153 + r153158;
        double r153160 = r153152 * r153159;
        return r153160;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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