Average Error: 0.0 → 0.0
Time: 1.5s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
d1 \cdot \left(d2 + \left(\left(d3 + 5\right) + 32\right)\right)
double f(double d1, double d2, double d3) {
        double r214215 = d1;
        double r214216 = d2;
        double r214217 = r214215 * r214216;
        double r214218 = d3;
        double r214219 = 5.0;
        double r214220 = r214218 + r214219;
        double r214221 = r214220 * r214215;
        double r214222 = r214217 + r214221;
        double r214223 = 32.0;
        double r214224 = r214215 * r214223;
        double r214225 = r214222 + r214224;
        return r214225;
}
↓
double f(double d1, double d2, double d3) {
        double r214226 = d1;
        double r214227 = d2;
        double r214228 = d3;
        double r214229 = 5.0;
        double r214230 = r214228 + r214229;
        double r214231 = 32.0;
        double r214232 = r214230 + r214231;
        double r214233 = r214227 + r214232;
        double r214234 = r214226 * r214233;
        return r214234;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020089 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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