Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D

Time bar (total: 18.4s)

analyze63.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 19 to 15 computations (21.1% saved)

sample17.8s (96.5%)

Results
5.8s8256×0valid-rival
1.4s8216×0valid-sollya
200.0ms40×0exit-sollya
Bogosity

preprocess513.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1163×fma-neg
758×fma-define
317×distribute-rgt-in
295×distribute-lft-in
240×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029280
159232
2150208
3404196
41105196
52328196
63638196
74718196
85108196
95233196
105256196
115267196
125856196
136406196
146422196
156422196
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 (neg.f64 x) #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 (neg.f64 x) #s(literal 4481/100000 binary64))) (neg.f64 x)))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 (neg.f64 x) #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 (neg.f64 x) #s(literal 4481/100000 binary64))) (neg.f64 x))))))
Outputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64))))
(-.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 (neg.f64 x) #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 (neg.f64 x) #s(literal 4481/100000 binary64))) (neg.f64 x)))))
(-.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (neg.f64 (*.f64 x #s(literal 4481/100000 binary64))))))))
(-.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (fma.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal 1 binary64))))
(-.f64 (neg.f64 x) (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64))))))
(-.f64 (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) x)
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 (neg.f64 x) #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 (neg.f64 x) #s(literal 4481/100000 binary64))) (neg.f64 x))))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (neg.f64 (*.f64 x #s(literal 4481/100000 binary64)))))))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (fma.f64 (neg.f64 x) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal 1 binary64)))))
(+.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64))))))
(-.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))))
(+.f64 x (/.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×unsub-neg
32×neg-mul-1
25×*-commutative
18×distribute-rgt-neg-in
18×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861
13261
24061
35461
48261
510661
615961
723461
825761
926761
1026861
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Outputs
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess61.0ms (0.3%)

Compiler

Compiled 72 to 56 computations (22.2% saved)

end0.0ms (0%)

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