Average Error: 0.0 → 0.0
Time: 1.9s
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 r287214 = d1;
        double r287215 = d2;
        double r287216 = r287214 * r287215;
        double r287217 = d3;
        double r287218 = 5.0;
        double r287219 = r287217 + r287218;
        double r287220 = r287219 * r287214;
        double r287221 = r287216 + r287220;
        double r287222 = 32.0;
        double r287223 = r287214 * r287222;
        double r287224 = r287221 + r287223;
        return r287224;
}
↓
double f(double d1, double d2, double d3) {
        double r287225 = d1;
        double r287226 = d2;
        double r287227 = d3;
        double r287228 = 5.0;
        double r287229 = r287227 + r287228;
        double r287230 = 32.0;
        double r287231 = r287229 + r287230;
        double r287232 = r287226 + r287231;
        double r287233 = r287225 * r287232;
        return r287233;
}

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 2020018 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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