Average Error: 0.0 → 0.0
Time: 3.3s
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 r277381 = d1;
        double r277382 = d2;
        double r277383 = r277381 * r277382;
        double r277384 = d3;
        double r277385 = 5.0;
        double r277386 = r277384 + r277385;
        double r277387 = r277386 * r277381;
        double r277388 = r277383 + r277387;
        double r277389 = 32.0;
        double r277390 = r277381 * r277389;
        double r277391 = r277388 + r277390;
        return r277391;
}
↓
double f(double d1, double d2, double d3) {
        double r277392 = d1;
        double r277393 = d2;
        double r277394 = d3;
        double r277395 = 5.0;
        double r277396 = r277394 + r277395;
        double r277397 = 32.0;
        double r277398 = r277396 + r277397;
        double r277399 = r277393 + r277398;
        double r277400 = r277392 * r277399;
        return r277400;
}

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 2020047 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"
  :precision binary64

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

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