Average Error: 0.0 → 0.0
Time: 9.7s
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 r360206 = d1;
        double r360207 = d2;
        double r360208 = r360206 * r360207;
        double r360209 = d3;
        double r360210 = 5.0;
        double r360211 = r360209 + r360210;
        double r360212 = r360211 * r360206;
        double r360213 = r360208 + r360212;
        double r360214 = 32.0;
        double r360215 = r360206 * r360214;
        double r360216 = r360213 + r360215;
        return r360216;
}
↓
double f(double d1, double d2, double d3) {
        double r360217 = d1;
        double r360218 = d3;
        double r360219 = 5.0;
        double r360220 = r360218 + r360219;
        double r360221 = 32.0;
        double r360222 = r360220 + r360221;
        double r360223 = d2;
        double r360224 = r360222 + r360223;
        double r360225 = r360217 * r360224;
        return r360225;
}

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 2020045 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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