Average Error: 0.0 → 0.0
Time: 24.1s
Precision: 64
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(37 + d3\right) + d2\right) \cdot d1\]
\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32
↓
\left(\left(37 + d3\right) + d2\right) \cdot d1
double f(double d1, double d2, double d3) {
        double r57451497 = d1;
        double r57451498 = d2;
        double r57451499 = r57451497 * r57451498;
        double r57451500 = d3;
        double r57451501 = 5.0;
        double r57451502 = r57451500 + r57451501;
        double r57451503 = r57451502 * r57451497;
        double r57451504 = r57451499 + r57451503;
        double r57451505 = 32.0;
        double r57451506 = r57451497 * r57451505;
        double r57451507 = r57451504 + r57451506;
        return r57451507;
}
↓
double f(double d1, double d2, double d3) {
        double r57451508 = 37.0;
        double r57451509 = d3;
        double r57451510 = r57451508 + r57451509;
        double r57451511 = d2;
        double r57451512 = r57451510 + r57451511;
        double r57451513 = d1;
        double r57451514 = r57451512 * r57451513;
        return r57451514;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019119 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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