Average Error: 0.0 → 0.0
Time: 6.6s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)
double f(double x, double y, double z, double t, double a, double b) {
        double r51376 = x;
        double r51377 = y;
        double r51378 = 1.0;
        double r51379 = r51377 - r51378;
        double r51380 = z;
        double r51381 = r51379 * r51380;
        double r51382 = r51376 - r51381;
        double r51383 = t;
        double r51384 = r51383 - r51378;
        double r51385 = a;
        double r51386 = r51384 * r51385;
        double r51387 = r51382 - r51386;
        double r51388 = r51377 + r51383;
        double r51389 = 2.0;
        double r51390 = r51388 - r51389;
        double r51391 = b;
        double r51392 = r51390 * r51391;
        double r51393 = r51387 + r51392;
        return r51393;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r51394 = x;
        double r51395 = y;
        double r51396 = 1.0;
        double r51397 = r51395 - r51396;
        double r51398 = z;
        double r51399 = r51397 * r51398;
        double r51400 = -r51399;
        double r51401 = t;
        double r51402 = r51401 - r51396;
        double r51403 = a;
        double r51404 = r51402 * r51403;
        double r51405 = r51400 - r51404;
        double r51406 = r51395 + r51401;
        double r51407 = 2.0;
        double r51408 = r51406 - r51407;
        double r51409 = b;
        double r51410 = r51408 * r51409;
        double r51411 = r51405 + r51410;
        double r51412 = r51394 + r51411;
        return r51412;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto \left(\color{blue}{\left(x + \left(-\left(y - 1\right) \cdot z\right)\right)} - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  4. Applied associate--l+0.0

    \[\leadsto \color{blue}{\left(x + \left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right)\right)} + \left(\left(y + t\right) - 2\right) \cdot b\]

  5. Applied associate-+l+0.0

    \[\leadsto \color{blue}{x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)}\]

  6. Final simplification0.0

    \[\leadsto x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)\]

Reproduce

herbie shell --seed 2020049 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))