Average Error: 0.0 → 0.0
Time: 8.2s
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 r5532412 = d1;
        double r5532413 = d2;
        double r5532414 = r5532412 * r5532413;
        double r5532415 = d3;
        double r5532416 = 5.0;
        double r5532417 = r5532415 + r5532416;
        double r5532418 = r5532417 * r5532412;
        double r5532419 = r5532414 + r5532418;
        double r5532420 = 32.0;
        double r5532421 = r5532412 * r5532420;
        double r5532422 = r5532419 + r5532421;
        return r5532422;
}
↓
double f(double d1, double d2, double d3) {
        double r5532423 = d2;
        double r5532424 = 37.0;
        double r5532425 = r5532423 + r5532424;
        double r5532426 = d3;
        double r5532427 = r5532425 + r5532426;
        double r5532428 = d1;
        double r5532429 = r5532427 * r5532428;
        return r5532429;
}

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 2019146 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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