Average Error: 0.0 → 0.0
Time: 9.1s
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 r12634209 = d1;
        double r12634210 = d2;
        double r12634211 = r12634209 * r12634210;
        double r12634212 = d3;
        double r12634213 = 5.0;
        double r12634214 = r12634212 + r12634213;
        double r12634215 = r12634214 * r12634209;
        double r12634216 = r12634211 + r12634215;
        double r12634217 = 32.0;
        double r12634218 = r12634209 * r12634217;
        double r12634219 = r12634216 + r12634218;
        return r12634219;
}
↓
double f(double d1, double d2, double d3) {
        double r12634220 = d2;
        double r12634221 = d3;
        double r12634222 = r12634220 + r12634221;
        double r12634223 = 32.0;
        double r12634224 = r12634222 + r12634223;
        double r12634225 = 5.0;
        double r12634226 = r12634224 + r12634225;
        double r12634227 = d1;
        double r12634228 = r12634226 * r12634227;
        return r12634228;
}

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 2019174 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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