Average Error: 0.0 → 0.0
Time: 13.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + 37\right) + d3\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(d2 + 37\right) + d3\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r11869325 = d1;
        double r11869326 = d2;
        double r11869327 = r11869325 * r11869326;
        double r11869328 = d3;
        double r11869329 = 5.0;
        double r11869330 = r11869328 + r11869329;
        double r11869331 = r11869330 * r11869325;
        double r11869332 = r11869327 + r11869331;
        double r11869333 = 32.0;
        double r11869334 = r11869325 * r11869333;
        double r11869335 = r11869332 + r11869334;
        return r11869335;
}
↓
double f(double d1, double d2, double d3) {
        double r11869336 = d2;
        double r11869337 = 37.0;
        double r11869338 = r11869336 + r11869337;
        double r11869339 = d3;
        double r11869340 = r11869338 + r11869339;
        double r11869341 = d1;
        double r11869342 = r11869340 * r11869341;
        return r11869342;
}

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

    \[\leadsto \color{blue}{\left(d3 + \left(d2 + 37\right)\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(d2 + 37\right) + d3\right) \cdot d1\]

Reproduce

herbie shell --seed 2019151 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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