Average Error: 0.0 → 0.0
Time: 6.8s
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 r222208 = d1;
        double r222209 = d2;
        double r222210 = r222208 * r222209;
        double r222211 = d3;
        double r222212 = 5.0;
        double r222213 = r222211 + r222212;
        double r222214 = r222213 * r222208;
        double r222215 = r222210 + r222214;
        double r222216 = 32.0;
        double r222217 = r222208 * r222216;
        double r222218 = r222215 + r222217;
        return r222218;
}
↓
double f(double d1, double d2, double d3) {
        double r222219 = d1;
        double r222220 = d3;
        double r222221 = 5.0;
        double r222222 = r222220 + r222221;
        double r222223 = 32.0;
        double r222224 = r222222 + r222223;
        double r222225 = d2;
        double r222226 = r222224 + r222225;
        double r222227 = r222219 * r222226;
        return r222227;
}

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 2019304 +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)))