Average Error: 0.0 → 0.0
Time: 21.6s
Precision: binary64
Cost: 1344
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
\[b \cdot \left(\left(y + t\right) - 2\right) + \left(\left(x - z \cdot \left(y - 1\right)\right) - a \cdot \left(t - 1\right)\right)\]
\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
b \cdot \left(\left(y + t\right) - 2\right) + \left(\left(x - z \cdot \left(y - 1\right)\right) - a \cdot \left(t - 1\right)\right)
(FPCore (x y z t a b)
 :precision binary64
 (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
(FPCore (x y z t a b)
 :precision binary64
 (+ (* b (- (+ y t) 2.0)) (- (- x (* z (- y 1.0))) (* a (- t 1.0)))))
double code(double x, double y, double z, double t, double a, double b) {
	return ((x - ((y - 1.0) * z)) - ((t - 1.0) * a)) + (((y + t) - 2.0) * b);
}
double code(double x, double y, double z, double t, double a, double b) {
	return (b * ((y + t) - 2.0)) + ((x - (z * (y - 1.0))) - (a * (t - 1.0)));
}

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

Alternatives

Alternative 1
Error2.8
Cost1544
\[\begin{array}{l} \mathbf{if}\;z \leq -1.3187893073455861 \cdot 10^{-52} \lor \neg \left(z \leq 3.9852866885279064 \cdot 10^{-63}\right):\\ \;\;\;\;\left(\left(x - z \cdot \left(y - 1\right)\right) - a \cdot \left(t - 1\right)\right) + b \cdot \left(t - 2\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right) + \left(x - a \cdot \left(t - 1\right)\right)\\ \end{array}\]
Alternative 2
Error2.0
Cost1416
\[\begin{array}{l} \mathbf{if}\;y \leq -451.0800055319352 \lor \neg \left(y \leq 955591397.4342043\right):\\ \;\;\;\;\left(\left(x - z \cdot \left(y - 1\right)\right) - a \cdot \left(t - 1\right)\right) + b \cdot y\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot \left(t - 2\right) + \left(x + \left(z + a\right)\right)\right) - t \cdot a\\ \end{array}\]
Alternative 3
Error5.2
Cost1602
\[\begin{array}{l} \mathbf{if}\;t \leq -2.818520382346146 \cdot 10^{-10}:\\ \;\;\;\;\left(b \cdot \left(t - 2\right) + \left(x + \left(z + a\right)\right)\right) - t \cdot a\\ \mathbf{elif}\;t \leq 4.472602804038034:\\ \;\;\;\;x + \left(\left(z + a\right) + \left(y \cdot \left(b - z\right) - b \cdot 2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right) + \left(x - a \cdot \left(t - 1\right)\right)\\ \end{array}\]
Alternative 4
Error6.2
Cost1288
\[\begin{array}{l} \mathbf{if}\;t \leq -3.120384328866361 \cdot 10^{-10} \lor \neg \left(t \leq 13.902432390601437\right):\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right) + \left(x - a \cdot \left(t - 1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x + \left(\left(z + a\right) + \left(y \cdot \left(b - z\right) - b \cdot 2\right)\right)\\ \end{array}\]
Alternative 5
Error7.8
Cost2244
\[\begin{array}{l} \mathbf{if}\;z \leq -7.340363386292523 \cdot 10^{+27}:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(b \cdot 2 + y \cdot z\right)\\ \mathbf{elif}\;z \leq 7681977.99245632:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right) + \left(x - a \cdot \left(t - 1\right)\right)\\ \mathbf{elif}\;z \leq 4.553866098086157 \cdot 10^{+65}:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(t \cdot a + y \cdot z\right)\\ \mathbf{elif}\;z \leq 7.107413531081618 \cdot 10^{+83}:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right) + \left(x - a \cdot \left(t - 1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(b \cdot 2 + y \cdot z\right)\\ \end{array}\]
Alternative 6
Error14.3
Cost2437
\[\begin{array}{l} \mathbf{if}\;t \leq -5.3944973119599425 \cdot 10^{+175}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;t \leq -3.7014877968800364 \cdot 10^{-11}:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(t \cdot a + y \cdot z\right)\\ \mathbf{elif}\;t \leq 62.87447686629527:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(b \cdot 2 + y \cdot z\right)\\ \mathbf{elif}\;t \leq 2.0879205884968323 \cdot 10^{+99}:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right)\\ \mathbf{elif}\;t \leq 2.665066881937698 \cdot 10^{+200}:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(t \cdot a + y \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \end{array}\]
Alternative 7
Error13.9
Cost3079
\[\begin{array}{l} \mathbf{if}\;b \leq -9.980655217215471 \cdot 10^{+67}:\\ \;\;\;\;a + \left(x + b \cdot \left(y - 2\right)\right)\\ \mathbf{elif}\;b \leq -6.436071408476345 \cdot 10^{+27}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;b \leq -2.4088646846941745 \cdot 10^{-12}:\\ \;\;\;\;\left(z + a\right) + \left(y \cdot \left(b - z\right) - b \cdot 2\right)\\ \mathbf{elif}\;b \leq 27.863432657253927:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(t \cdot a + y \cdot z\right)\\ \mathbf{elif}\;b \leq 458592851144532.5:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right)\\ \mathbf{elif}\;b \leq 2.0022828092500033 \cdot 10^{+54}:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(t \cdot a + y \cdot z\right)\\ \mathbf{elif}\;b \leq 6.301193105352132 \cdot 10^{+174}:\\ \;\;\;\;\left(z + a\right) + \left(y \cdot \left(b - z\right) - b \cdot 2\right)\\ \mathbf{elif}\;b \leq 6.521394169714953 \cdot 10^{+174}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right)\\ \end{array}\]
Alternative 8
Error14.5
Cost2255
\[\begin{array}{l} \mathbf{if}\;b \leq -2.845817993780598 \cdot 10^{+67}:\\ \;\;\;\;a + \left(x + b \cdot \left(y - 2\right)\right)\\ \mathbf{elif}\;b \leq -4.8834337610051715 \cdot 10^{+19}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;b \leq -2.4088646846941745 \cdot 10^{-12}:\\ \;\;\;\;\left(x + z\right) - \left(b \cdot 2 + y \cdot z\right)\\ \mathbf{elif}\;b \leq 27.863432657253927 \lor \neg \left(b \leq 486447639510620.56\right) \land b \leq 6.521394169714953 \cdot 10^{+174}:\\ \;\;\;\;\left(x + \left(z + a\right)\right) - \left(t \cdot a + y \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right)\\ \end{array}\]
Alternative 9
Error21.8
Cost3144
\[\begin{array}{l} \mathbf{if}\;t \leq -1.7590006622047292 \cdot 10^{+161}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;t \leq -1.2728942492007393 \cdot 10^{+125}:\\ \;\;\;\;\left(a + \left(x + z\right)\right) - y \cdot z\\ \mathbf{elif}\;t \leq -1028823.7486139742:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;t \leq -6.766942446714203 \cdot 10^{-265}:\\ \;\;\;\;\left(a + \left(x + z\right)\right) - b \cdot 2\\ \mathbf{elif}\;t \leq 1.86805736651541 \cdot 10^{-249}:\\ \;\;\;\;a + \left(x + b \cdot \left(y - 2\right)\right)\\ \mathbf{elif}\;t \leq 7.21152116072856 \cdot 10^{-233}:\\ \;\;\;\;\left(x + z\right) - \left(b \cdot 2 + y \cdot z\right)\\ \mathbf{elif}\;t \leq 1.7544651665732537 \cdot 10^{-65}:\\ \;\;\;\;\left(a + \left(x + z\right)\right) - b \cdot 2\\ \mathbf{elif}\;t \leq 82.48051658463113:\\ \;\;\;\;\left(a + \left(x + z\right)\right) - y \cdot z\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \end{array}\]
Alternative 10
Error21.4
Cost2181
\[\begin{array}{l} \mathbf{if}\;t \leq -3.1820103280550196 \cdot 10^{+162}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;t \leq -5.417487817274215 \cdot 10^{+124}:\\ \;\;\;\;\left(a + \left(x + z\right)\right) - y \cdot z\\ \mathbf{elif}\;t \leq -923182.8036031268:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;t \leq 1.0438123176851027 \cdot 10^{-59}:\\ \;\;\;\;\left(a + \left(x + z\right)\right) - b \cdot 2\\ \mathbf{elif}\;t \leq 82.48051658463113:\\ \;\;\;\;\left(a + \left(x + z\right)\right) - y \cdot z\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \end{array}\]
Alternative 11
Error20.6
Cost2181
\[\begin{array}{l} \mathbf{if}\;y \leq -2.9089100716404973 \cdot 10^{+81}:\\ \;\;\;\;y \cdot \left(b - z\right)\\ \mathbf{elif}\;y \leq -476854812406050.4:\\ \;\;\;\;a + \left(x + b \cdot \left(y - 2\right)\right)\\ \mathbf{elif}\;y \leq -7.612491392184512 \cdot 10^{-18}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;y \leq 9041952.446895225:\\ \;\;\;\;\left(a + \left(x + z\right)\right) - b \cdot 2\\ \mathbf{elif}\;y \leq 3.1017380097605992 \cdot 10^{+35}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{else}:\\ \;\;\;\;a + \left(x + b \cdot \left(y - 2\right)\right)\\ \end{array}\]
Alternative 12
Error22.8
Cost904
\[\begin{array}{l} \mathbf{if}\;t \leq -606259.9685705845 \lor \neg \left(t \leq 3398936.353265873\right):\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{else}:\\ \;\;\;\;a + \left(x + b \cdot \left(y - 2\right)\right)\\ \end{array}\]
Alternative 13
Error38.7
Cost3979
\[\begin{array}{l} \mathbf{if}\;z \leq -1.6727022708713807 \cdot 10^{+27}:\\ \;\;\;\;z - y \cdot z\\ \mathbf{elif}\;z \leq -0.019083653247823948:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;z \leq -1.6265206160536293 \cdot 10^{-50}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq -8.522332737557256 \cdot 10^{-246}:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right)\\ \mathbf{elif}\;z \leq 3.798407321566729 \cdot 10^{-238}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 8.141299477154104 \cdot 10^{-223}:\\ \;\;\;\;b \cdot \left(y - 2\right)\\ \mathbf{elif}\;z \leq 1.4503359627258517 \cdot 10^{-173}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 1.908208892678263 \cdot 10^{-95}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;z \leq 7503955.999892874:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right)\\ \mathbf{elif}\;z \leq 1.8996711594681104 \cdot 10^{+59}:\\ \;\;\;\;z \cdot \left(1 - y\right)\\ \mathbf{elif}\;z \leq 1.2704704441816353 \cdot 10^{+85}:\\ \;\;\;\;b \cdot \left(\left(y + t\right) - 2\right)\\ \mathbf{else}:\\ \;\;\;\;z - y \cdot z\\ \end{array}\]
Alternative 14
Error40.1
Cost3851
\[\begin{array}{l} \mathbf{if}\;z \leq -7.235229693452492 \cdot 10^{+25}:\\ \;\;\;\;z - y \cdot z\\ \mathbf{elif}\;z \leq -0.04165987894197338:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;z \leq -5.170147732764381 \cdot 10^{-11}:\\ \;\;\;\;y \cdot \left(b - z\right)\\ \mathbf{elif}\;z \leq -8.926897897336186 \cdot 10^{-178}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq -5.274387327619636 \cdot 10^{-234}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;z \leq 9.582562186221986 \cdot 10^{-237}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 2.486857508932923 \cdot 10^{-223}:\\ \;\;\;\;b \cdot \left(y - 2\right)\\ \mathbf{elif}\;z \leq 1.4938512098733775 \cdot 10^{-173}:\\ \;\;\;\;x\\ \mathbf{elif}\;z \leq 1.1410963329186284 \cdot 10^{-93}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;z \leq 1.3892828836799305 \cdot 10^{-56}:\\ \;\;\;\;b \cdot \left(y - 2\right)\\ \mathbf{elif}\;z \leq 3.0442078369711805 \cdot 10^{+84}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{else}:\\ \;\;\;\;z - y \cdot z\\ \end{array}\]
Alternative 15
Error40.3
Cost2888
\[\begin{array}{l} \mathbf{if}\;x \leq -9.419162613535345 \cdot 10^{+121}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -8.434349768039477 \cdot 10^{-05}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;x \leq -1.690443233273342 \cdot 10^{-47}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;x \leq -9.874015539700766 \cdot 10^{-159}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;x \leq 3.178075324378247 \cdot 10^{-308}:\\ \;\;\;\;b \cdot \left(y - 2\right)\\ \mathbf{elif}\;x \leq 3.8138132509240755 \cdot 10^{-182}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;x \leq 2.0340764021774468 \cdot 10^{+21}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;x \leq 1.1744092928583478 \cdot 10^{+95}:\\ \;\;\;\;b \cdot \left(y - 2\right)\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array}\]
Alternative 16
Error39.8
Cost1604
\[\begin{array}{l} \mathbf{if}\;x \leq -2.0976053240691013 \cdot 10^{+121}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -2.850552033455439 \cdot 10^{-157}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;x \leq 1.3225486140273915 \cdot 10^{-197}:\\ \;\;\;\;b \cdot \left(y - 2\right)\\ \mathbf{elif}\;x \leq 1.0048656238959726 \cdot 10^{+38}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array}\]
Alternative 17
Error39.5
Cost2246
\[\begin{array}{l} \mathbf{if}\;x \leq -2.875708499157707 \cdot 10^{+120}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq -7.289685124884503 \cdot 10^{-157}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;x \leq -2.5671467527733376 \cdot 10^{-220}:\\ \;\;\;\;y \cdot \left(b - z\right)\\ \mathbf{elif}\;x \leq -2.9166801540085174 \cdot 10^{-288}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;x \leq 4.539809863619804 \cdot 10^{-250}:\\ \;\;\;\;y \cdot \left(b - z\right)\\ \mathbf{elif}\;x \leq 1.4637901082782335 \cdot 10^{+38}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array}\]
Alternative 18
Error38.7
Cost962
\[\begin{array}{l} \mathbf{if}\;x \leq -5.201700756471877 \cdot 10^{+121}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 1.6167649364056539 \cdot 10^{+38}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array}\]
Alternative 19
Error43.5
Cost706
\[\begin{array}{l} \mathbf{if}\;x \leq -1.0028015638558362 \cdot 10^{+76}:\\ \;\;\;\;x\\ \mathbf{elif}\;x \leq 1.234327866087103 \cdot 10^{+38}:\\ \;\;\;\;a\\ \mathbf{else}:\\ \;\;\;\;x\\ \end{array}\]
Alternative 20
Error53.5
Cost64
\[a\]
Alternative 21
Error62.2
Cost64
\[-1\]
Alternative 22
Error62.3
Cost64
\[1\]

Error

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. Simplified0.0

    \[\leadsto \color{blue}{b \cdot \left(\left(y + t\right) - 2\right) + \left(\left(x - z \cdot \left(y - 1\right)\right) - a \cdot \left(t - 1\right)\right)}\]
  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2021044 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))