Octave 3.8, jcobi/1

Time bar (total: 9.8s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
100%56.2%0%43.8%0%0%0%1
Compiler

Compiled 22 to 16 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival->, time spent: 0.0ms, 0.0% of total-time

sample1.8s (18.3%)

Results
997.0ms6529×256valid
391.0ms1056×1024valid
146.0ms613×512valid
20.0ms57×2048valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 728.0ms
Operation ival-div, time spent: 251.0ms, 34.0% of total-time
Operation ival-add, time spent: 228.0ms, 31.0% of total-time
Operation ival->, time spent: 98.0ms, 13.0% of total-time
Operation ival-sub, time spent: 97.0ms, 13.0% of total-time
Operation const, time spent: 37.0ms, 5.0% of total-time
Operation ival-and, time spent: 16.0ms, 2.0% of total-time
Bogosity

preprocess609.0ms (6.2%)

Algorithm
egg-herbie
Rules
6132×fma-neg
1074×div-sub
820×sub-neg
700×associate-/r*
664×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
00-0-(-.f64 beta alpha)
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
00-0-(+.f64 (+.f64 alpha beta) 2)
00-0-alpha
00-0-2
00-0-(+.f64 alpha beta)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
00-0-1
00-0-beta
Iterations

Useful iterations: 15 (0.0ms)

IterNodesCost
038359
196351
2204351
3534343
41351343
53461343
66068343
76956343
87145343
97181343
107228343
117228343
127435343
137550343
147552343
157552315
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2) -1/2)
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2))
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2) -1/2)
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 2))
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) 1/2 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 -2 (-.f64 alpha beta)))) 1/2)
(+.f64 1/2 (/.f64 (/.f64 (+.f64 beta alpha) 2) (+.f64 beta (-.f64 2 alpha))))
(+.f64 1/2 (/.f64 (*.f64 (+.f64 beta alpha) -1/2) (+.f64 alpha (-.f64 -2 beta))))
(-.f64 1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) -4)))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(+.f64 1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) -1/2))
(+.f64 1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 beta (-.f64 -2 alpha)))))
(fma.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 beta (-.f64 -2 alpha))) 1/2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) -2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 beta alpha)))) -2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha -2)))) -2)
(-.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) 2))
(+.f64 -1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) -1/2))
(+.f64 -1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 alpha (-.f64 -2 beta)))))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) -4)))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) -2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) -2)
(-.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta))) 2) 1/2)
(+.f64 -1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) -1/2))
(+.f64 -1/2 (*.f64 (+.f64 beta alpha) (/.f64 1/2 (+.f64 2 (-.f64 alpha beta)))))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (fma.f64 2 (-.f64 alpha beta) 4)))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)
(/.f64 (-.f64 1 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta))) 2)
(+.f64 1/2 (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) -1/2))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 -2 alpha) beta)) -1/2 1/2)
Compiler

Compiled 117 to 59 computations (49.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
Operation ival-add, time spent: 28.0ms, 46.0% of total-time
Operation ival-div, time spent: 20.0ms, 33.0% of total-time
Operation ival-sub, time spent: 8.0ms, 13.0% of total-time
Operation const, time spent: 4.0ms, 7.0% of total-time

eval4.0ms (0%)

Compiler

Compiled 79 to 51 computations (35.4% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize76.0ms (0.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
74.0%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 51 to 24 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-add, time spent: 17.0ms, 54.0% of total-time
Operation ival-div, time spent: 11.0ms, 35.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time
Operation ival-sub, time spent: 2.0ms, 6.0% of total-time

series15.0ms (0.2%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)>
#<alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))>
Outputs
#<alt (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))>
#<alt (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))>
#<alt 2>
#<alt (-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (/.f64 beta (+.f64 2 beta))>
#<alt (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt -1>
#<alt (-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))>
#<alt -1>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha)) (*.f64 -1 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)>
Calls

12 calls:

TimeVariablePointExpression
2.0ms
beta
@inf
(/ (- beta alpha) (+ (+ beta alpha) 2))
1.0ms
alpha
@0
(+ (/ (- beta alpha) (+ (+ beta alpha) 2)) 1)
1.0ms
alpha
@inf
(+ (/ (- beta alpha) (+ (+ beta alpha) 2)) 1)
1.0ms
beta
@0
(+ (/ (- beta alpha) (+ (+ beta alpha) 2)) 1)
1.0ms
beta
@0
(/ (- beta alpha) (+ (+ beta alpha) 2))

rewrite235.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1235×log1p-expm1-u
1235×expm1-log1p-u
708×fma-neg
95×add-cube-cbrt
93×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
120280
2317480
Stop Event
node limit
Counts
2 → 116
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))

simplify162.0ms (1.7%)

Algorithm
egg-herbie
Rules
1296×fma-neg
1154×times-frac
1064×sub-neg
592×div-sub
512×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051912331
1145811906
2471111306
Stop Event
node limit
Counts
164 → 337
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))
-1
(-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))
(-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)
(-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha)) (*.f64 -1 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2)))) 1) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (fma.f64 beta (-.f64 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (fma.f64 beta (-.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 1 (+.f64 alpha 2)))) 1) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (fma.f64 beta (-.f64 (fma.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (-.f64 -2 alpha))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))
(+.f64 2 (-.f64 (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)))))
(-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) 2) (-.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(+.f64 2 (-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
(-.f64 (+.f64 2 (fma.f64 -1 (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 alpha 2)) (pow.f64 beta 2)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(+.f64 (-.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.f64 2 (+.f64 (-.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(+.f64 (-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)) 2) (*.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 3)))) (-.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (pow.f64 (/.f64 (+.f64 alpha 2) beta) 3))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) beta)))
(-.f64 2 (/.f64 (-.f64 (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta)) (-.f64 (fma.f64 alpha -1 -2) alpha)) beta))
(-.f64 2 (/.f64 (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (+.f64 alpha (+.f64 alpha 2))) beta))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 2 (neg.f64 (/.f64 (*.f64 -1 (+.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) beta))) beta)))
(-.f64 2 (/.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 alpha -1 -2) alpha)) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) beta) (*.f64 (-.f64 (fma.f64 alpha -1 -2) alpha) (fma.f64 alpha -1 -2))) beta)) beta))
(+.f64 2 (/.f64 (+.f64 (-.f64 (-.f64 -2 alpha) alpha) (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 alpha 2)))) beta)) beta))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (fma.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (-.f64 (neg.f64 (/.f64 1 (+.f64 2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)))
(*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(*.f64 (+.f64 alpha (+.f64 -2 beta)) (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 -2 (neg.f64 (+.f64 beta alpha)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(neg.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1 -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta)))))))
(+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 alpha beta))))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(+.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) 3))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 alpha 2) beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 3) 8)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 4) (*.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 3) 8)) (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (+.f64 alpha -2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 -2 beta)) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(fma.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 (+.f64 alpha beta) -2) (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))

eval198.0ms (2%)

Compiler

Compiled 10177 to 7098 computations (30.3% saved)

prune126.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New32512337
Fresh000
Picked011
Done000
Total32513338
Accuracy
100.0%
Counts
338 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f64 (/.f64 (-.f64 (-.f64 -2 beta) (+.f64 beta (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (fma.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta alpha) (*.f64 (+.f64 2 beta) (-.f64 (-.f64 -2 beta) beta)))) alpha))) (neg.f64 alpha)) 2)
24.3%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha) (fma.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (-.f64 -2 beta) beta)))) alpha) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) alpha) (-.f64 (-.f64 -2 beta) beta)) (neg.f64 alpha)) 2)
26.6%
(/.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha) 2)
30.0%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
74.0%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
52.4%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
25.6%
(/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)
3.7%
(/.f64 (+.f64 -1 1) 2)
74.0%
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
74.0%
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
33.6%
(/.f64 2 2)
Compiler

Compiled 483 to 363 computations (24.8% saved)

localize505.0ms (5.2%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
74.0%
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
100.0%
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
100.0%
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
100.0%
(/.f64 beta (+.f64 2 beta))
99.9%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
99.9%
(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
74.0%
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
74.0%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 207 to 133 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 319.0ms
Operation ival-add, time spent: 176.0ms, 55.0% of total-time
Operation ival-div, time spent: 61.0ms, 19.0% of total-time
Operation ival-log, time spent: 30.0ms, 9.0% of total-time
Operation ival-exp, time spent: 20.0ms, 6.0% of total-time
Operation ival-mult, time spent: 16.0ms, 5.0% of total-time
Operation const, time spent: 10.0ms, 3.0% of total-time
Operation ival-sub, time spent: 6.0ms, 2.0% of total-time

series43.0ms (0.4%)

Counts
11 → 228
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)>
#<alt (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))>
#<alt (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))>
#<alt (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))>
#<alt (/.f64 beta (+.f64 2 beta))>
#<alt (+.f64 (/.f64 beta (+.f64 2 beta)) 1)>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))>
#<alt (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))>
#<alt (/.f64 beta (+.f64 beta (+.f64 alpha 2)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))>
Outputs
#<alt (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))>
#<alt (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))>
#<alt 2>
#<alt (-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))>
#<alt (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))>
#<alt 2>
#<alt (-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))>
#<alt (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (+.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))>
#<alt (+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (+.f64 (*.f64 beta (+.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))>
#<alt (exp.f64 2)>
#<alt (+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 2 (*.f64 2 alpha))) beta)))>
#<alt (+.f64 (exp.f64 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 2 (*.f64 2 alpha))) beta)) (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2))))>
#<alt (+.f64 (exp.f64 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 2 (*.f64 2 alpha))) beta)) (+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1/6 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3)))) (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 beta 3)) (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2)))))>
#<alt (exp.f64 2)>
#<alt (+.f64 (exp.f64 2) (/.f64 (*.f64 (exp.f64 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta))>
#<alt (+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) beta))) beta)))>
#<alt (+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) beta)) (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) beta))) beta)))>
#<alt (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 -1 (*.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))>
#<alt (+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))))))>
#<alt (+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 alpha (+.f64 (*.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3)))))) (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))))))))>
#<alt 1>
#<alt (+.f64 1 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))>
#<alt (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))>
#<alt (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2))) alpha))) (+.f64 2 beta)) alpha)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (*.f64 -1 beta) (+.f64 2 beta)))) (+.f64 (*.f64 -1 (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 3)))) alpha)) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) 2)))) alpha))) (+.f64 2 beta)) alpha)))>
#<alt (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt (+.f64 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 beta (-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3)))) (+.f64 (*.f64 2 (/.f64 1 beta)) (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2)))))>
#<alt 1>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))>
#<alt (/.f64 beta (+.f64 2 beta))>
#<alt (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (+.f64 2 beta)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta)))>
#<alt -1>
#<alt (-.f64 (/.f64 beta alpha) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2))) (/.f64 beta alpha)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha))))>
#<alt (-.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)) (/.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (*.f64 -1 (+.f64 2 beta)))) (pow.f64 alpha 2)))))>
#<alt -1>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))) alpha)) (*.f64 -1 (*.f64 (+.f64 2 beta) (-.f64 (*.f64 -1 beta) (+.f64 2 beta))))) alpha))) (+.f64 2 beta)) alpha)) 1)>
#<alt (*.f64 1/2 beta)>
#<alt (*.f64 beta (+.f64 1/2 (*.f64 -1/4 beta)))>
#<alt (*.f64 beta (+.f64 1/2 (*.f64 beta (-.f64 (*.f64 1/8 beta) 1/4))))>
#<alt (*.f64 beta (+.f64 1/2 (*.f64 beta (-.f64 (*.f64 beta (+.f64 1/8 (*.f64 -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 beta))) beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 beta))>
#<alt (+.f64 1 (*.f64 beta (+.f64 1/2 (*.f64 -1/4 beta))))>
#<alt (+.f64 1 (*.f64 beta (+.f64 1/2 (*.f64 beta (-.f64 (*.f64 1/8 beta) 1/4)))))>
#<alt 2>
#<alt (-.f64 2 (*.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))>
#<alt 2>
#<alt (-.f64 2 (*.f64 2 (/.f64 1 beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 beta))) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 beta))) beta))) beta)))>
#<alt (/.f64 2 alpha)>
#<alt (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))>
#<alt (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))>
#<alt (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))>
#<alt (*.f64 2 (/.f64 beta alpha))>
#<alt (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 2 (/.f64 beta alpha))>
#<alt (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))>
#<alt (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) beta)))) (*.f64 -1 alpha)) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 3)) beta)) (+.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) beta)))) (*.f64 -1 alpha)) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))>
#<alt (/.f64 alpha (+.f64 2 beta))>
#<alt (*.f64 alpha (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2))) (/.f64 1 (+.f64 2 beta))))>
#<alt (*.f64 alpha (+.f64 (*.f64 alpha (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (/.f64 1 (+.f64 2 beta))))>
#<alt (*.f64 alpha (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 beta) 4))) (/.f64 1 (pow.f64 (+.f64 2 beta) 3)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2)))) (/.f64 1 (+.f64 2 beta))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))>
#<alt (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 beta) alpha)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 -1 (+.f64 2 beta))) alpha)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 beta) 2))) alpha)) (*.f64 -1 (+.f64 2 beta))) alpha)))>
#<alt (/.f64 alpha (+.f64 2 alpha))>
#<alt (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (+.f64 (*.f64 beta (-.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (+.f64 (*.f64 beta (-.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 alpha (+.f64 2 alpha)))>
#<alt (/.f64 alpha beta)>
#<alt (/.f64 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 2 alpha)) beta))) beta)>
#<alt (/.f64 (-.f64 (+.f64 alpha (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) beta)) beta)>
#<alt (/.f64 (-.f64 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) beta))) beta)>
#<alt (/.f64 alpha beta)>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (/.f64 (*.f64 alpha (+.f64 2 alpha)) beta)) beta))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (-.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) beta) (*.f64 alpha (+.f64 2 alpha))) beta))) beta))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) beta) (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) beta)) (*.f64 alpha (+.f64 2 alpha))) beta))) beta))>
#<alt (/.f64 beta (+.f64 2 alpha))>
#<alt (*.f64 beta (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))))>
#<alt (*.f64 beta (+.f64 (*.f64 beta (-.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))>
#<alt (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))>
#<alt (-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 1 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (*.f64 -1 (+.f64 2 alpha))) beta)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) beta)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) beta)) (*.f64 -1 (+.f64 2 alpha))) beta)))>
#<alt (/.f64 beta (+.f64 2 beta))>
#<alt (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 4))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta)))>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 (+.f64 beta (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 beta (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 beta (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)>
#<alt (/.f64 beta alpha)>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (*.f64 beta (+.f64 2 beta))) alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) alpha)) (*.f64 beta (+.f64 2 beta))) alpha))) alpha))>
#<alt 1>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 alpha)))>
#<alt (+.f64 1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))))>
#<alt (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))>
#<alt (-.f64 (+.f64 2 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))>
#<alt (-.f64 (+.f64 2 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta))))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) beta)) (pow.f64 (+.f64 2 alpha) 2)) beta)))) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 4))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))>
#<alt 1>
#<alt (+.f64 1 (/.f64 beta alpha))>
#<alt (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 beta alpha)))>
#<alt (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3)))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))>
#<alt 1>
#<alt (+.f64 1 (/.f64 beta alpha))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (*.f64 beta (+.f64 2 beta))) alpha))) alpha)))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
alpha
@0
(exp (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
3.0ms
alpha
@inf
(- (+ 1 (/ beta (+ beta (+ alpha 2)))) (/ alpha (+ beta (+ alpha 2))))
1.0ms
beta
@-inf
(- (+ 1 (/ beta (+ beta (+ alpha 2)))) (/ alpha (+ beta (+ alpha 2))))
1.0ms
beta
@0
(exp (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
1.0ms
beta
@inf
(/ beta (+ 2 beta))

rewrite317.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
428×log1p-expm1-u
264×associate-*r*
230×expm1-log1p-u
224×add-cube-cbrt
222×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027372
1490368
27891368
Stop Event
node limit
Counts
11 → 482
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 2 beta))
(+.f64 (/.f64 beta (+.f64 2 beta)) 1)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
Outputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(*.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) alpha)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 1)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 alpha))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta (+.f64 alpha 2)) alpha)))
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 alpha))) (*.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
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(*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 1) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)

simplify451.0ms (4.6%)

Algorithm
egg-herbie
Rules
1026×distribute-lft-in
758×sub-neg
694×*-commutative
628×cancel-sign-sub-inv
562×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0149351790
1435650218
Stop Event
node limit
Counts
710 → 875
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (+.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 beta (+.f64 (*.f64 beta (+.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))))) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))))
(exp.f64 2)
(+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 2 (*.f64 2 alpha))) beta)))
(+.f64 (exp.f64 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 2 (*.f64 2 alpha))) beta)) (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2))))
(+.f64 (exp.f64 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 2 (*.f64 2 alpha))) beta)) (+.f64 (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 (*.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 -1/6 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3)))) (pow.f64 (+.f64 2 alpha) 3))) (pow.f64 beta 3)) (/.f64 (*.f64 (exp.f64 2) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (*.f64 alpha (+.f64 2 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 2)))))
(exp.f64 2)
(+.f64 (exp.f64 2) (/.f64 (*.f64 (exp.f64 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta))
(+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)))) beta))) beta)))
(+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 3)) (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) beta)) (*.f64 (exp.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))))) beta))) beta)))
(exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 -1 (*.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))
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1
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1
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1
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(/.f64 beta (+.f64 2 beta))
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-1
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-1
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1
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1
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1
(+.f64 1 (*.f64 1/2 beta))
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(+.f64 1 (*.f64 beta (+.f64 1/2 (*.f64 beta (-.f64 (*.f64 1/8 beta) 1/4)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (/.f64 4 (pow.f64 beta 2))) (*.f64 2 (/.f64 1 beta)))
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2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
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(/.f64 2 alpha)
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2
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2
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(/.f64 alpha (+.f64 2 beta))
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1
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1
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(/.f64 alpha beta)
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(/.f64 alpha beta)
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1
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1
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1
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2
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2
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1
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1
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(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 1) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (fma.f64 beta (+.f64 (fma.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (fma.f64 beta (-.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (fma.f64 beta (fma.f64 beta (+.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (-.f64 -2 alpha))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
(-.f64 (+.f64 2 (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))
(+.f64 2 (-.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)))))
(+.f64 2 (-.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (-.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 alpha (+.f64 2 alpha)) (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
(-.f64 (+.f64 2 (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(-.f64 (+.f64 2 (-.f64 (*.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2))) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)))) (-.f64 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 alpha beta))) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (-.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta)))
(+.f64 2 (neg.f64 (/.f64 (fma.f64 -1 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) beta)))
(-.f64 2 (/.f64 (+.f64 (+.f64 alpha (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta))) beta))
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta)) beta))) beta)))
(+.f64 2 (neg.f64 (/.f64 (*.f64 -1 (+.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))) beta))) beta)))
(-.f64 2 (/.f64 (-.f64 (+.f64 alpha (+.f64 alpha 2)) (/.f64 (+.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (-.f64 -2 alpha)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta))) beta)) beta))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (-.f64 -2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (fma.f64 alpha (-.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (fma.f64 alpha (-.f64 (fma.f64 alpha (+.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (/.f64 beta (pow.f64 (+.f64 2 beta) 3))) (/.f64 1 (-.f64 -2 beta))) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 beta 2 2) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (*.f64 2 beta)) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (+.f64 2 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))) (fma.f64 -1 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)))) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))) (-.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3))) (+.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) (pow.f64 alpha 3))))) alpha)
(/.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3)) (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))))) (+.f64 (fma.f64 -1 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) alpha)
(/.f64 (-.f64 (+.f64 (-.f64 2 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (-.f64 (fma.f64 2 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 3)))) (+.f64 (-.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))
(/.f64 (+.f64 beta (+.f64 2 beta)) alpha)
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 -1 beta (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 beta)) alpha))
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha) beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (-.f64 -2 beta)) (neg.f64 alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta (/.f64 (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)))) alpha))) (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (fma.f64 -1 (+.f64 beta (/.f64 (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))))) alpha)) -2) beta) (neg.f64 alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha)) (+.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 3))) alpha)) (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3)))) alpha)) (fma.f64 beta (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))) alpha))) (+.f64 2 beta)) alpha))
(/.f64 (fma.f64 -1 (+.f64 beta (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 3)) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta))))) alpha) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta)))) alpha)) (-.f64 -2 beta)) (neg.f64 alpha))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 alpha (+.f64 alpha 2))))
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(exp.f64 2)
(+.f64 (exp.f64 2) (*.f64 -1 (/.f64 (*.f64 (exp.f64 2) (+.f64 2 (*.f64 2 alpha))) beta)))
(+.f64 (exp.f64 2) (neg.f64 (*.f64 (exp.f64 2) (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))))
(-.f64 (exp.f64 2) (*.f64 (exp.f64 2) (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
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(+.f64 (-.f64 (exp.f64 2) (*.f64 (exp.f64 2) (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) (*.f64 (exp.f64 2) (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 2 (*.f64 alpha 2)) 2) (*.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 2))))
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(exp.f64 2)
(+.f64 (exp.f64 2) (/.f64 (*.f64 (exp.f64 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) beta))
(+.f64 (exp.f64 2) (*.f64 (exp.f64 2) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta)))
(+.f64 (exp.f64 2) (*.f64 (exp.f64 2) (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)))
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(-.f64 (exp.f64 2) (/.f64 (-.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (exp.f64 2)) (*.f64 (exp.f64 2) (/.f64 (+.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (-.f64 -2 alpha)) (*.f64 1/2 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2))) beta))) beta))
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(+.f64 (exp.f64 2) (neg.f64 (/.f64 (*.f64 -1 (+.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (exp.f64 2)) (/.f64 (fma.f64 -1 (*.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 -1/6 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 3) (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)))) beta)) (*.f64 (exp.f64 2) (fma.f64 -1 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (*.f64 1/2 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))))) beta))) beta)))
(-.f64 (exp.f64 2) (/.f64 (-.f64 (*.f64 (+.f64 alpha (+.f64 alpha 2)) (exp.f64 2)) (/.f64 (-.f64 (*.f64 (exp.f64 2) (+.f64 (*.f64 (-.f64 (-.f64 -2 alpha) alpha) (-.f64 -2 alpha)) (*.f64 1/2 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2)))) (*.f64 (exp.f64 2) (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha (+.f64 alpha 2))) (fma.f64 -1/6 (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 3) (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (-.f64 -2 alpha) alpha) 2)))) beta))) beta)) beta))
(exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 -1 (*.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))))))
(-.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 (*.f64 alpha (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (*.f64 (*.f64 alpha (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (-.f64 (*.f64 (*.f64 alpha (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (+.f64 (*.f64 -1 (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (*.f64 alpha (+.f64 (*.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3)))))) (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))))))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))) (*.f64 alpha (fma.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (fma.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3))))) (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (fma.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))))))
(+.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (*.f64 alpha (-.f64 (*.f64 alpha (fma.f64 alpha (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (-.f64 (-.f64 (*.f64 -1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (*.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta)))) (+.f64 (fma.f64 1/2 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 1 (pow.f64 (+.f64 2 beta) 2))) (/.f64 beta (pow.f64 (+.f64 2 beta) 3)))))) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (exp.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))))))))
1
(+.f64 1 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2)))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 beta 2 2) 2) (pow.f64 alpha 2)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2)))))
(+.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (fma.f64 1/2 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))) (/.f64 (*.f64 beta (-.f64 -2 beta)) (pow.f64 alpha 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta)))) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 2))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2)) (fma.f64 1/6 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 beta 2 2) 2) (pow.f64 alpha 2)) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (+.f64 (*.f64 (fma.f64 beta 2 2) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3))))))) (fma.f64 -1 (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))))))
(+.f64 1 (-.f64 (-.f64 (fma.f64 1/6 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 3) (fma.f64 1/2 (pow.f64 (/.f64 (fma.f64 beta 2 2) alpha) 2) (+.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)) (+.f64 (*.f64 (fma.f64 beta 2 2) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))) (-.f64 (*.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 2 beta)) alpha)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))
(+.f64 1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
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1
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1
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-1
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-1
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1
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1
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1
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2
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2
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1
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1
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1
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2
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2
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1
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(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (+.f64 1 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2)) (+.f64 1 (/.f64 beta (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 3)) (-.f64 -1 (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2))) (neg.f64 (-.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2))) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 1) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) 2) -1) (+.f64 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)) -1))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3)
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2)
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))) 2))
(fabs.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 (+.f64 alpha 2) beta)))

eval600.0ms (6.1%)

Compiler

Compiled 26406 to 19323 computations (26.8% saved)

prune187.0ms (1.9%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New8696875
Fresh257
Picked235
Done011
Total87315888
Accuracy
100.0%
Counts
888 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f64 (/.f64 (-.f64 (-.f64 -2 beta) (+.f64 beta (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (fma.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta alpha) (*.f64 (+.f64 2 beta) (-.f64 (-.f64 -2 beta) beta)))) alpha))) (neg.f64 alpha)) 2)
24.3%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha) (fma.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (-.f64 -2 beta) beta)))) alpha) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) alpha) (-.f64 (-.f64 -2 beta) beta)) (neg.f64 alpha)) 2)
26.6%
(/.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha) 2)
30.0%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
24.5%
(/.f64 (/.f64 2 alpha) 2)
71.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))) 2)
25.8%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
52.4%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
49.1%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
25.6%
(/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)
9.3%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
52.5%
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
33.6%
(/.f64 2 2)
Compiler

Compiled 468 to 356 computations (23.9% saved)

localize586.0ms (6%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (+.f64 2 beta) 2)
99.7%
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
99.5%
(/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha)
96.3%
(/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)
100.0%
(/.f64 alpha (+.f64 alpha 2))
69.6%
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
100.0%
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
100.0%
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta)))
100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
100.0%
(/.f64 alpha (+.f64 2 beta))
Compiler

Compiled 253 to 175 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 343.0ms
Operation ival-div, time spent: 143.0ms, 42.0% of total-time
Operation ival-add, time spent: 84.0ms, 24.0% of total-time
Operation ival-mult, time spent: 46.0ms, 13.0% of total-time
Operation ival-sub, time spent: 38.0ms, 11.0% of total-time
Operation ival-pow, time spent: 17.0ms, 5.0% of total-time
Operation const, time spent: 15.0ms, 4.0% of total-time

series34.0ms (0.3%)

Counts
8 → 132
Calls
Call 1
Inputs
#<alt (/.f64 alpha (+.f64 2 beta))>
#<alt (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta)))>
#<alt (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))>
#<alt (/.f64 alpha (+.f64 alpha 2))>
#<alt (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)>
#<alt (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha)>
#<alt (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))>
#<alt (pow.f64 (+.f64 2 beta) 2)>
Outputs
#<alt (*.f64 1/2 alpha)>
#<alt (+.f64 (*.f64 -1/4 (*.f64 alpha beta)) (*.f64 1/2 alpha))>
#<alt (+.f64 (*.f64 1/2 alpha) (*.f64 beta (-.f64 (*.f64 1/8 (*.f64 alpha beta)) (*.f64 1/4 alpha))))>
#<alt (+.f64 (*.f64 1/2 alpha) (*.f64 beta (-.f64 (*.f64 beta (-.f64 (*.f64 -1/16 (*.f64 alpha beta)) (*.f64 -1/8 alpha))) (*.f64 1/4 alpha))))>
#<alt (/.f64 alpha beta)>
#<alt (/.f64 (+.f64 alpha (*.f64 -2 (/.f64 alpha beta))) beta)>
#<alt (/.f64 (-.f64 (+.f64 alpha (*.f64 4 (/.f64 alpha (pow.f64 beta 2)))) (*.f64 2 (/.f64 alpha beta))) beta)>
#<alt (/.f64 (-.f64 (+.f64 alpha (*.f64 -8 (/.f64 alpha (pow.f64 beta 3)))) (+.f64 (*.f64 -4 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha beta)))) beta)>
#<alt (/.f64 alpha beta)>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 2 (/.f64 alpha beta))) beta))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 alpha beta)) (*.f64 2 alpha)) beta))) beta))>
#<alt (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 alpha beta)) (*.f64 4 alpha)) beta)) (*.f64 2 alpha)) beta))) beta))>
#<alt (-.f64 1 (*.f64 1/2 alpha))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 alpha))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 beta (-.f64 (*.f64 -1/8 alpha) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 1/2 alpha))>
#<alt (-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1/8 alpha) (*.f64 beta (+.f64 (*.f64 1/16 alpha) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 1/2 alpha))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))>
#<alt (-.f64 (+.f64 2 (*.f64 2 (/.f64 alpha (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))>
#<alt (-.f64 (+.f64 2 (+.f64 (*.f64 -4 (/.f64 alpha (pow.f64 beta 3))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))>
#<alt 2>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)) beta)))) (*.f64 -1 alpha)) beta)))>
#<alt (+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 3)) beta)) (+.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) beta)))) (*.f64 -1 alpha)) beta)))>
#<alt (+.f64 1 (/.f64 beta (+.f64 2 beta)))>
#<alt (+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 4))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))>
#<alt (*.f64 -1 (/.f64 alpha (+.f64 2 beta)))>
#<alt (*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 beta))))>
#<alt (*.f64 alpha (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 (+.f64 2 beta))))>
#<alt (*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 alpha) (/.f64 beta (pow.f64 alpha 2)))) (/.f64 1 (+.f64 2 beta))))>
#<alt (*.f64 -1 (/.f64 alpha (+.f64 2 beta)))>
#<alt (*.f64 -1 (*.f64 alpha (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 alpha))))>
#<alt (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 beta alpha)) alpha)) (/.f64 1 (+.f64 2 beta)))))>
#<alt (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha))) alpha)) (/.f64 1 (+.f64 2 beta)))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1/2 alpha))>
#<alt (+.f64 1 (*.f64 alpha (-.f64 (*.f64 1/4 alpha) 1/2)))>
#<alt (+.f64 1 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 1/4 (*.f64 -1/8 alpha))) 1/2)))>
#<alt (/.f64 2 alpha)>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 16 (/.f64 1 (pow.f64 alpha 3))))) alpha)>
#<alt (/.f64 2 alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 alpha)) 2) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt (*.f64 1/2 alpha)>
#<alt (*.f64 alpha (+.f64 1/2 (*.f64 -1/4 alpha)))>
#<alt (*.f64 alpha (+.f64 1/2 (*.f64 alpha (-.f64 (*.f64 1/8 alpha) 1/4))))>
#<alt (*.f64 alpha (+.f64 1/2 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 1/8 (*.f64 -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 alpha)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))>
#<alt (-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))>
#<alt 1>
#<alt (-.f64 1 (*.f64 2 (/.f64 1 alpha)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)))>
#<alt (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 alpha))) alpha))) alpha)))>
#<alt (/.f64 4 alpha)>
#<alt (+.f64 (*.f64 4 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))>
#<alt (+.f64 (*.f64 beta (+.f64 (*.f64 4 (/.f64 1 alpha)) (/.f64 beta alpha))) (*.f64 4 (/.f64 1 alpha)))>
#<alt (+.f64 (*.f64 beta (+.f64 (*.f64 4 (/.f64 1 alpha)) (/.f64 beta alpha))) (*.f64 4 (/.f64 1 alpha)))>
#<alt (/.f64 (pow.f64 beta 2) alpha)>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha beta)) (/.f64 4 (*.f64 alpha (pow.f64 beta 2))))))>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha beta)) (/.f64 4 (*.f64 alpha (pow.f64 beta 2))))))>
#<alt (/.f64 (pow.f64 beta 2) alpha)>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha beta)) (/.f64 4 (*.f64 alpha (pow.f64 beta 2))))))>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha beta)) (/.f64 4 (*.f64 alpha (pow.f64 beta 2))))))>
#<alt (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)>
#<alt (-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))) (/.f64 4 (pow.f64 alpha 2)))>
#<alt (-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))) (/.f64 4 (pow.f64 alpha 2)))>
#<alt (-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))) (/.f64 4 (pow.f64 alpha 2)))>
#<alt (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))>
#<alt (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 2 (*.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (/.f64 6 (*.f64 (pow.f64 alpha 2) beta)))))>
#<alt (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 alpha (pow.f64 beta 2)))) (/.f64 2 (*.f64 alpha beta))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (/.f64 6 (*.f64 (pow.f64 alpha 2) beta))))))>
#<alt (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 alpha (pow.f64 beta 2)))) (/.f64 2 (*.f64 alpha beta))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (/.f64 6 (*.f64 (pow.f64 alpha 2) beta))))))>
#<alt (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))>
#<alt (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))>
#<alt (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) beta)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) beta)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))>
#<alt (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) beta)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) beta)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))>
#<alt (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 2 (*.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 2 (*.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 2 (*.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) alpha)>
#<alt (/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) alpha)>
#<alt (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 2 (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 2 (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 2 (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) alpha))>
#<alt (*.f64 -2 (/.f64 beta alpha))>
#<alt (*.f64 beta (-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))>
#<alt (*.f64 beta (-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))>
#<alt (*.f64 beta (-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))>
#<alt (*.f64 -1 (/.f64 (pow.f64 beta 2) alpha))>
#<alt (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (*.f64 -1 (/.f64 (pow.f64 beta 2) alpha))>
#<alt (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))>
#<alt 4>
#<alt (+.f64 4 (*.f64 4 beta))>
#<alt (+.f64 4 (*.f64 beta (+.f64 4 beta)))>
#<alt (+.f64 4 (*.f64 beta (+.f64 4 beta)))>
#<alt (pow.f64 beta 2)>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 1 (*.f64 4 (/.f64 1 beta))))>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 4 (pow.f64 beta 2)))))>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 4 (pow.f64 beta 2)))))>
#<alt (pow.f64 beta 2)>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 1 (*.f64 4 (/.f64 1 beta))))>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 4 (pow.f64 beta 2)))))>
#<alt (*.f64 (pow.f64 beta 2) (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 4 (pow.f64 beta 2)))))>
Calls

39 calls:

TimeVariablePointExpression
8.0ms
alpha
@0
(/ alpha (+ alpha 2))
2.0ms
beta
@-inf
(/ alpha (+ 2 beta))
1.0ms
alpha
@0
(/ (+ (- (* 2 beta) (/ (pow (+ 2 beta) 2) alpha)) (+ 2 (* beta (/ (- -2 beta) alpha)))) alpha)
1.0ms
beta
@inf
(/ (+ (- (* 2 beta) (/ (pow (+ 2 beta) 2) alpha)) (+ 2 (* beta (/ (- -2 beta) alpha)))) alpha)
1.0ms
beta
@0
(/ (+ (- (* 2 beta) (/ (pow (+ 2 beta) 2) alpha)) (+ 2 (* beta (/ (- -2 beta) alpha)))) alpha)

rewrite152.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
285×log1p-expm1-u
285×expm1-log1p-u
276×add-cube-cbrt
274×add-exp-log
273×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029278
1582274
Stop Event
node limit
Counts
8 → 210
Calls
Call 1
Inputs
(/.f64 alpha (+.f64 2 beta))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
(/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)
(/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(pow.f64 (+.f64 2 beta) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 2 beta)))) 1)
(*.f64 alpha (/.f64 1 (+.f64 2 beta)))
(*.f64 1 (/.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 beta))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) (sqrt.f64 (/.f64 alpha (+.f64 2 beta))))
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 alpha (sqrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 2 beta))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 2 beta))))
(pow.f64 (/.f64 alpha (+.f64 2 beta)) 1)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) 2)
(pow.f64 (/.f64 (+.f64 2 beta) alpha) -1)
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 2 beta)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 2 beta))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 2 beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 2 beta))) 1))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (/.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 2 beta)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) (/.f64 alpha (+.f64 2 beta))))
(+.f64 (fma.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (*.f64 (/.f64 1 (+.f64 2 beta)) alpha))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 2 beta))) alpha (*.f64 (/.f64 1 (+.f64 2 beta)) alpha)))
(+.f64 (fma.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) 1))) (fma.f64 (neg.f64 (/.f64 alpha (+.f64 2 beta))) 1 (*.f64 (/.f64 alpha (+.f64 2 beta)) 1)))
(+.f64 (fma.f64 1 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (*.f64 (/.f64 1 (+.f64 2 beta)) alpha))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 2 beta))) alpha (*.f64 (/.f64 1 (+.f64 2 beta)) alpha)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) 1))) (fma.f64 (neg.f64 (/.f64 alpha (+.f64 2 beta))) 1 (*.f64 (/.f64 alpha (+.f64 2 beta)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (*.f64 (/.f64 1 (+.f64 2 beta)) alpha))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 2 beta))) alpha (*.f64 (/.f64 1 (+.f64 2 beta)) alpha)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (*.f64 (/.f64 alpha (+.f64 2 beta)) 1))) (fma.f64 (neg.f64 (/.f64 alpha (+.f64 2 beta))) 1 (*.f64 (/.f64 alpha (+.f64 2 beta)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 1 (+.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 2 beta))))))
(*.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 alpha (+.f64 2 beta))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 2 beta)) 2)) (/.f64 1 (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))))) (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))) (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 2 beta)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 alpha (+.f64 2 beta)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 2 beta)) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (/.f64 alpha (+.f64 2 beta)) 2)) (+.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 2 beta)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) alpha)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 2 beta)))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) 1)
(/.f64 1 (/.f64 alpha (*.f64 beta (-.f64 -2 beta))))
(/.f64 (*.f64 beta (-.f64 -2 beta)) alpha)
(/.f64 (neg.f64 (*.f64 beta (-.f64 -2 beta))) (neg.f64 alpha))
(pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 1)
(pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 3)
(pow.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 2)
(sqrt.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 2))
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 (-.f64 -2 beta) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))))
(cbrt.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(log1p.f64 (expm1.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(exp.f64 (log.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) 1)
(*.f64 (+.f64 2 beta) (+.f64 2 beta))
(*.f64 1 (pow.f64 (+.f64 2 beta) 2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(/.f64 (*.f64 (-.f64 4 (pow.f64 beta 2)) (-.f64 4 (pow.f64 beta 2))) (*.f64 (-.f64 2 beta) (-.f64 2 beta)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta))) (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 4 (pow.f64 beta 2))) (*.f64 (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta))) (-.f64 2 beta)))
(/.f64 (*.f64 (-.f64 4 (pow.f64 beta 2)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 2 beta) (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta)))))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 beta) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 beta) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 beta) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 beta))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 beta))) 1))

simplify175.0ms (1.8%)

Algorithm
egg-herbie
Rules
858×fma-define
636×distribute-rgt-in
622×distribute-lft-in
530×associate-*r*
498×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092020024
1263818412
Stop Event
node limit
Counts
342 → 513
Calls
Call 1
Inputs
(*.f64 1/2 alpha)
(+.f64 (*.f64 -1/4 (*.f64 alpha beta)) (*.f64 1/2 alpha))
(+.f64 (*.f64 1/2 alpha) (*.f64 beta (-.f64 (*.f64 1/8 (*.f64 alpha beta)) (*.f64 1/4 alpha))))
(+.f64 (*.f64 1/2 alpha) (*.f64 beta (-.f64 (*.f64 beta (-.f64 (*.f64 -1/16 (*.f64 alpha beta)) (*.f64 -1/8 alpha))) (*.f64 1/4 alpha))))
(/.f64 alpha beta)
(/.f64 (+.f64 alpha (*.f64 -2 (/.f64 alpha beta))) beta)
(/.f64 (-.f64 (+.f64 alpha (*.f64 4 (/.f64 alpha (pow.f64 beta 2)))) (*.f64 2 (/.f64 alpha beta))) beta)
(/.f64 (-.f64 (+.f64 alpha (*.f64 -8 (/.f64 alpha (pow.f64 beta 3)))) (+.f64 (*.f64 -4 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha beta)))) beta)
(/.f64 alpha beta)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 2 (/.f64 alpha beta))) beta))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 alpha beta)) (*.f64 2 alpha)) beta))) beta))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 alpha beta)) (*.f64 4 alpha)) beta)) (*.f64 2 alpha)) beta))) beta))
(-.f64 1 (*.f64 1/2 alpha))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 alpha))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 beta (-.f64 (*.f64 -1/8 alpha) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 1/2 alpha))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1/8 alpha) (*.f64 beta (+.f64 (*.f64 1/16 alpha) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 1/2 alpha))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 alpha (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -4 (/.f64 alpha (pow.f64 beta 3))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)) beta)))) (*.f64 -1 alpha)) beta)))
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 3)) beta)) (+.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) beta)))) (*.f64 -1 alpha)) beta)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 3)) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 alpha (-.f64 (*.f64 alpha (-.f64 (*.f64 -1 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 4))) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 beta) 3))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (/.f64 beta (+.f64 2 beta))))
(*.f64 -1 (/.f64 alpha (+.f64 2 beta)))
(*.f64 alpha (-.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 2 beta))))
(*.f64 alpha (-.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta (pow.f64 alpha 2))) (/.f64 1 (+.f64 2 beta))))
(*.f64 alpha (-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 alpha) (/.f64 beta (pow.f64 alpha 2)))) (/.f64 1 (+.f64 2 beta))))
(*.f64 -1 (/.f64 alpha (+.f64 2 beta)))
(*.f64 -1 (*.f64 alpha (-.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 1 alpha))))
(*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (/.f64 beta alpha)) alpha)) (/.f64 1 (+.f64 2 beta)))))
(*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) alpha))) alpha)) (/.f64 1 (+.f64 2 beta)))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha (-.f64 (*.f64 1/4 alpha) 1/2)))
(+.f64 1 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 1/4 (*.f64 -1/8 alpha))) 1/2)))
(/.f64 2 alpha)
(/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 2 (/.f64 8 (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 16 (/.f64 1 (pow.f64 alpha 3))))) alpha)
(/.f64 2 alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 1 alpha)) 2) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) 4) alpha)) 2) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(*.f64 1/2 alpha)
(*.f64 alpha (+.f64 1/2 (*.f64 -1/4 alpha)))
(*.f64 alpha (+.f64 1/2 (*.f64 alpha (-.f64 (*.f64 1/8 alpha) 1/4))))
(*.f64 alpha (+.f64 1/2 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 1/8 (*.f64 -1/16 alpha))) 1/4))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (/.f64 4 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 alpha)))
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 alpha))) alpha))) alpha)))
(/.f64 4 alpha)
(+.f64 (*.f64 4 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 4 (/.f64 1 alpha)) (/.f64 beta alpha))) (*.f64 4 (/.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 4 (/.f64 1 alpha)) (/.f64 beta alpha))) (*.f64 4 (/.f64 1 alpha)))
(/.f64 (pow.f64 beta 2) alpha)
(*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (*.f64 alpha beta)))))
(*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha beta)) (/.f64 4 (*.f64 alpha (pow.f64 beta 2))))))
(*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha beta)) (/.f64 4 (*.f64 alpha (pow.f64 beta 2))))))
(/.f64 (pow.f64 beta 2) alpha)
(*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (*.f64 alpha beta)))))
(*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha beta)) (/.f64 4 (*.f64 alpha (pow.f64 beta 2))))))
(*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha beta)) (/.f64 4 (*.f64 alpha (pow.f64 beta 2))))))
(/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha)
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))) (/.f64 4 (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha))) (/.f64 4 (pow.f64 alpha 2)))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 (pow.f64 beta 2) (-.f64 (/.f64 2 (*.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (/.f64 6 (*.f64 (pow.f64 alpha 2) beta)))))
(*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 alpha (pow.f64 beta 2)))) (/.f64 2 (*.f64 alpha beta))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (/.f64 6 (*.f64 (pow.f64 alpha 2) beta))))))
(*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 alpha (pow.f64 beta 2)))) (/.f64 2 (*.f64 alpha beta))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 alpha 2) (pow.f64 beta 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 2))) (/.f64 6 (*.f64 (pow.f64 alpha 2) beta))))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) beta)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) beta)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) beta)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha))) beta)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 2 (*.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 2 (*.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))
(/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 2 (*.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) alpha)
(/.f64 (-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 2 (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 2 (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) alpha))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 (+.f64 2 (*.f64 2 beta))) (/.f64 (*.f64 beta (+.f64 2 beta)) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))) alpha))
(*.f64 -2 (/.f64 beta alpha))
(*.f64 beta (-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(*.f64 beta (-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) alpha))
(*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))
(*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))
(*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))
(*.f64 -1 (/.f64 (pow.f64 beta 2) alpha))
(*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))
(*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))
(*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (*.f64 alpha beta))))))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
(*.f64 -1 (/.f64 (*.f64 beta (+.f64 2 beta)) alpha))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(pow.f64 beta 2)
(*.f64 (pow.f64 beta 2) (+.f64 1 (*.f64 4 (/.f64 1 beta))))
(*.f64 (pow.f64 beta 2) (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 4 (pow.f64 beta 2)))))
(*.f64 (pow.f64 beta 2) (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 4 (pow.f64 beta 2)))))
(pow.f64 beta 2)
(*.f64 (pow.f64 beta 2) (+.f64 1 (*.f64 4 (/.f64 1 beta))))
(*.f64 (pow.f64 beta 2) (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 4 (pow.f64 beta 2)))))
(*.f64 (pow.f64 beta 2) (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 beta)) (/.f64 4 (pow.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (+.f64 2 beta)))) 1)
(*.f64 alpha (/.f64 1 (+.f64 2 beta)))
(*.f64 1 (/.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 2 beta))) 2) (cbrt.f64 (/.f64 alpha (+.f64 2 beta))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 2 beta))) (sqrt.f64 (/.f64 alpha (+.f64 2 beta))))
(*.f64 (neg.f64 alpha) (/.f64 1 (neg.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 2 beta)))
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(*.f64 (/.f64 (+.f64 2 beta) 1) (/.f64 (+.f64 2 beta) alpha))
(*.f64 (/.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) alpha))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (sqrt.f64 alpha)))
(pow.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) 3) 1/3)
(pow.f64 (/.f64 (+.f64 2 beta) (sqrt.f64 alpha)) 2)
(pow.f64 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) -1)
(sqrt.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) (pow.f64 alpha 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))) 1)
(-.f64 (/.f64 (*.f64 2 beta) alpha) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))
(*.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))
(*.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) (/.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)) (sqrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(*.f64 (neg.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) 1) (/.f64 (sqrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) (cbrt.f64 alpha)))
(pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) 1)
(/.f64 1 (/.f64 alpha (*.f64 beta (-.f64 -2 beta))))
(/.f64 (*.f64 beta (-.f64 -2 beta)) alpha)
(/.f64 (neg.f64 (*.f64 beta (-.f64 -2 beta))) (neg.f64 alpha))
(pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 1)
(pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 3)
(pow.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 2)
(sqrt.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 2))
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 (-.f64 -2 beta) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))))
(cbrt.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(log1p.f64 (expm1.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(exp.f64 (log.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) 1)
(*.f64 (+.f64 2 beta) (+.f64 2 beta))
(*.f64 1 (pow.f64 (+.f64 2 beta) 2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(/.f64 (*.f64 (-.f64 4 (pow.f64 beta 2)) (-.f64 4 (pow.f64 beta 2))) (*.f64 (-.f64 2 beta) (-.f64 2 beta)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta))) (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 4 (pow.f64 beta 2))) (*.f64 (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta))) (-.f64 2 beta)))
(/.f64 (*.f64 (-.f64 4 (pow.f64 beta 2)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 2 beta) (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta)))))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 beta) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 beta) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 beta) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 beta))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 beta))) 1))
Outputs
(*.f64 1/2 alpha)
(+.f64 (*.f64 -1/4 (*.f64 alpha beta)) (*.f64 1/2 alpha))
(fma.f64 -1/4 (*.f64 alpha beta) (*.f64 1/2 alpha))
(fma.f64 1/2 alpha (*.f64 alpha (*.f64 -1/4 beta)))
(+.f64 (*.f64 1/2 alpha) (*.f64 beta (-.f64 (*.f64 1/8 (*.f64 alpha beta)) (*.f64 1/4 alpha))))
(fma.f64 1/2 alpha (*.f64 beta (+.f64 (*.f64 (*.f64 alpha beta) 1/8) (*.f64 alpha -1/4))))
(fma.f64 beta (fma.f64 (*.f64 alpha 1/8) beta (*.f64 alpha -1/4)) (*.f64 1/2 alpha))
(+.f64 (*.f64 1/2 alpha) (*.f64 beta (-.f64 (*.f64 beta (-.f64 (*.f64 -1/16 (*.f64 alpha beta)) (*.f64 -1/8 alpha))) (*.f64 1/4 alpha))))
(fma.f64 1/2 alpha (*.f64 beta (+.f64 (*.f64 beta (+.f64 (*.f64 (*.f64 alpha beta) -1/16) (*.f64 alpha 1/8))) (*.f64 alpha -1/4))))
(fma.f64 beta (fma.f64 beta (fma.f64 (*.f64 alpha beta) -1/16 (*.f64 alpha 1/8)) (*.f64 alpha -1/4)) (*.f64 1/2 alpha))
(/.f64 alpha beta)
(/.f64 (+.f64 alpha (*.f64 -2 (/.f64 alpha beta))) beta)
(/.f64 (+.f64 alpha (/.f64 (*.f64 -2 alpha) beta)) beta)
(/.f64 (fma.f64 (/.f64 alpha beta) -2 alpha) beta)
(/.f64 (-.f64 (+.f64 alpha (*.f64 4 (/.f64 alpha (pow.f64 beta 2)))) (*.f64 2 (/.f64 alpha beta))) beta)
(/.f64 (+.f64 alpha (-.f64 (*.f64 4 (/.f64 alpha (pow.f64 beta 2))) (*.f64 (/.f64 alpha beta) 2))) beta)
(/.f64 (+.f64 alpha (/.f64 (fma.f64 (/.f64 alpha beta) 4 (*.f64 alpha -2)) beta)) beta)
(/.f64 (-.f64 (+.f64 alpha (*.f64 -8 (/.f64 alpha (pow.f64 beta 3)))) (+.f64 (*.f64 -4 (/.f64 alpha (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha beta)))) beta)
(/.f64 (-.f64 (+.f64 alpha (*.f64 -8 (/.f64 alpha (pow.f64 beta 3)))) (fma.f64 -4 (/.f64 alpha (pow.f64 beta 2)) (*.f64 (/.f64 alpha beta) 2))) beta)
(/.f64 (-.f64 (fma.f64 -8 (/.f64 alpha (pow.f64 beta 3)) alpha) (fma.f64 (/.f64 alpha beta) 2 (/.f64 (*.f64 alpha -4) (pow.f64 beta 2)))) beta)
(/.f64 alpha beta)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 2 (/.f64 alpha beta))) beta))
(/.f64 (+.f64 alpha (/.f64 (*.f64 -2 alpha) beta)) beta)
(/.f64 (fma.f64 (/.f64 alpha beta) -2 alpha) beta)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (-.f64 (*.f64 4 (/.f64 alpha beta)) (*.f64 2 alpha)) beta))) beta))
(neg.f64 (/.f64 (*.f64 -1 (+.f64 alpha (/.f64 (+.f64 (*.f64 (/.f64 alpha beta) 4) (*.f64 -2 alpha)) beta))) beta))
(/.f64 (*.f64 1 (+.f64 alpha (/.f64 (fma.f64 (/.f64 alpha beta) 4 (*.f64 alpha -2)) beta))) beta)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 alpha) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 8 (/.f64 alpha beta)) (*.f64 4 alpha)) beta)) (*.f64 2 alpha)) beta))) beta))
(neg.f64 (/.f64 (*.f64 -1 (+.f64 alpha (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (/.f64 alpha beta) 8) (*.f64 -4 alpha)) beta)) (*.f64 -2 alpha)) beta))) beta))
(/.f64 (*.f64 1 (+.f64 alpha (/.f64 (fma.f64 -1 (/.f64 (fma.f64 (/.f64 alpha beta) 8 (*.f64 alpha -4)) beta) (*.f64 alpha -2)) beta))) beta)
(-.f64 1 (*.f64 1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(fma.f64 alpha -1/2 1)
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 alpha))
(+.f64 1 (-.f64 (*.f64 beta (fma.f64 1/4 alpha (/.f64 1 (+.f64 alpha 2)))) (*.f64 1/2 alpha)))
(+.f64 1 (fma.f64 beta (fma.f64 alpha 1/4 (/.f64 1 (+.f64 alpha 2))) (*.f64 alpha -1/2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 beta (-.f64 (*.f64 -1/8 alpha) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 1/2 alpha))
(+.f64 1 (-.f64 (*.f64 beta (fma.f64 1/4 alpha (fma.f64 beta (-.f64 (*.f64 alpha -1/8) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))))) (*.f64 1/2 alpha)))
(+.f64 1 (fma.f64 beta (fma.f64 alpha 1/4 (fma.f64 beta (fma.f64 alpha -1/8 (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2)))) (*.f64 alpha -1/2)))
(-.f64 (+.f64 1 (*.f64 beta (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 beta (-.f64 (+.f64 (*.f64 -1/8 alpha) (*.f64 beta (+.f64 (*.f64 1/16 alpha) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))) (*.f64 1/2 alpha))
(+.f64 1 (-.f64 (*.f64 beta (fma.f64 1/4 alpha (fma.f64 beta (-.f64 (fma.f64 -1/8 alpha (*.f64 beta (fma.f64 1/16 alpha (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (+.f64 alpha 2))))) (*.f64 1/2 alpha)))
(+.f64 1 (fma.f64 beta (fma.f64 alpha 1/4 (fma.f64 beta (fma.f64 alpha -1/8 (fma.f64 beta (fma.f64 alpha 1/16 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2)))) (/.f64 1 (+.f64 alpha 2)))) (*.f64 alpha -1/2)))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 2 (/.f64 (fma.f64 alpha 2 2) beta))
(-.f64 (+.f64 2 (*.f64 2 (/.f64 alpha (pow.f64 beta 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))))
(-.f64 (+.f64 2 (/.f64 (*.f64 alpha 2) (pow.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))))
(-.f64 (fma.f64 2 (/.f64 alpha (pow.f64 beta 2)) 2) (-.f64 (fma.f64 (/.f64 alpha beta) 2 (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -4 (/.f64 alpha (pow.f64 beta 3))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))))
(+.f64 2 (-.f64 (fma.f64 -4 (/.f64 alpha (pow.f64 beta 3)) (/.f64 (*.f64 alpha 2) (pow.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))))
(+.f64 2 (-.f64 (fma.f64 2 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 alpha -4) (pow.f64 beta 3))) (+.f64 (-.f64 (fma.f64 (/.f64 alpha beta) 2 (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (-.f64 alpha (neg.f64 alpha))) beta)))
(-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta))
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)) beta)))) (*.f64 -1 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (-.f64 (+.f64 alpha (neg.f64 (/.f64 (fma.f64 2 alpha (pow.f64 (+.f64 alpha 2) 2)) beta))) (neg.f64 alpha))) beta)))
(-.f64 2 (/.f64 (+.f64 (-.f64 alpha (/.f64 (fma.f64 alpha 2 (pow.f64 (+.f64 alpha 2) 2)) beta)) (+.f64 alpha 2)) beta))
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 (+.f64 alpha (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 3)) beta)) (+.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) beta)))) (*.f64 -1 alpha)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (-.f64 (+.f64 alpha (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 4 alpha (pow.f64 (+.f64 alpha 2) 3)) beta) (fma.f64 2 alpha (pow.f64 (+.f64 alpha 2) 2))) beta))) (neg.f64 alpha))) beta)))
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(/.f64 (+.f64 (-.f64 (*.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha) 3))
(-.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))
(/.f64 (+.f64 (-.f64 (*.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) 3) (pow.f64 alpha 3)))
(-.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))
(/.f64 (+.f64 (-.f64 (*.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (-.f64 (*.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(-.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))
(/.f64 (+.f64 (-.f64 (*.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)))
(-.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))
(/.f64 (+.f64 (-.f64 (*.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)) 1))
(-.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha))
(/.f64 (+.f64 (-.f64 (*.f64 beta 2) (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (fma.f64 beta (/.f64 (-.f64 -2 beta) alpha) 2)) alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) 1)
(expm1.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(/.f64 1 (/.f64 alpha (*.f64 beta (-.f64 -2 beta))))
(*.f64 (/.f64 1 alpha) (*.f64 beta (-.f64 -2 beta)))
(*.f64 (*.f64 (/.f64 1 alpha) beta) (-.f64 -2 beta))
(/.f64 (*.f64 beta (-.f64 -2 beta)) alpha)
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(/.f64 (neg.f64 (*.f64 beta (-.f64 -2 beta))) (neg.f64 alpha))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 1)
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(pow.f64 (cbrt.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 3)
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(pow.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 3) 1/3)
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(pow.f64 (sqrt.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 2)
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 2))
(fabs.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))
(log.f64 (pow.f64 (exp.f64 beta) (/.f64 (-.f64 -2 beta) alpha)))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(cbrt.f64 (pow.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)) 3))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(expm1.f64 (log1p.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(log1p.f64 (expm1.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(exp.f64 (log.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha))) 1))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 beta 2)) alpha)
(*.f64 beta (/.f64 (-.f64 -2 beta) alpha))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (+.f64 2 beta) (+.f64 2 beta))
(pow.f64 (+.f64 beta 2) 2)
(*.f64 1 (pow.f64 (+.f64 2 beta) 2))
(pow.f64 (+.f64 beta 2) 2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))
(/.f64 (*.f64 (-.f64 4 (pow.f64 beta 2)) (-.f64 4 (pow.f64 beta 2))) (*.f64 (-.f64 2 beta) (-.f64 2 beta)))
(*.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 (-.f64 4 (pow.f64 beta 2)) (*.f64 (-.f64 2 beta) (-.f64 2 beta))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta))) (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 (pow.f64 beta 3) 8)) (*.f64 (+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -2 beta))) (+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -2 beta)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (-.f64 beta 2)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (-.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 4 (pow.f64 beta 2))) (*.f64 (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta))) (-.f64 2 beta)))
(*.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (*.f64 (-.f64 2 beta) (+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -2 beta))))))
(*.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (-.f64 2 beta)) (+.f64 4 (*.f64 beta (-.f64 beta 2)))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 beta 2)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 2 beta) (+.f64 4 (-.f64 (pow.f64 beta 2) (*.f64 2 beta)))))
(*.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (*.f64 (-.f64 2 beta) (+.f64 4 (+.f64 (pow.f64 beta 2) (*.f64 -2 beta))))))
(*.f64 (-.f64 4 (pow.f64 beta 2)) (/.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (-.f64 2 beta)) (+.f64 4 (*.f64 beta (-.f64 beta 2)))))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 beta 2) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 beta) 2))))
(pow.f64 (+.f64 beta 2) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 beta) 2) 3))
(pow.f64 (+.f64 beta 2) 2)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 (+.f64 2 beta) 3)))
(pow.f64 (+.f64 beta 2) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 beta) 2)))
(pow.f64 (+.f64 beta 2) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 beta))))
(pow.f64 (+.f64 beta 2) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 beta))) 1))
(pow.f64 (+.f64 beta 2) 2)

eval419.0ms (4.3%)

Compiler

Compiled 19313 to 14208 computations (26.4% saved)

prune136.0ms (1.4%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New7007707
Fresh426
Picked145
Done044
Total70517722
Accuracy
100.0%
Counts
722 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.2%
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 2 (*.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) 2)
23.2%
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
24.2%
(/.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 8 alpha) -4) alpha)) alpha) 2)
30.0%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
24.5%
(/.f64 (/.f64 2 alpha) 2)
71.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))) 2)
25.6%
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
25.8%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
52.4%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
50.2%
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
49.1%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
9.3%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
23.2%
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)) 2)
33.6%
(/.f64 2 2)
51.7%
(/.f64 1 2)
Compiler

Compiled 342 to 281 computations (17.8% saved)

localize653.0ms (6.7%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)
99.9%
(/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)
99.9%
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)
100.0%
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
100.0%
(+.f64 alpha (+.f64 alpha 2))
100.0%
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
100.0%
(*.f64 2 (/.f64 beta alpha))
Compiler

Compiled 256 to 197 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
Operation ival-div, time spent: 86.0ms, 43.0% of total-time
Operation ival-mult, time spent: 52.0ms, 26.0% of total-time
Operation ival-sub, time spent: 37.0ms, 19.0% of total-time
Operation ival-add, time spent: 12.0ms, 6.0% of total-time
Operation const, time spent: 12.0ms, 6.0% of total-time

series66.0ms (0.7%)

Counts
7 → 93
Calls
Call 1
Inputs
#<alt (*.f64 2 (/.f64 beta alpha))>
#<alt (/.f64 (*.f64 2 (/.f64 beta alpha)) 2)>
#<alt (+.f64 alpha (+.f64 alpha 2))>
#<alt (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)>
#<alt (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)>
Outputs
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt (/.f64 beta alpha)>
#<alt 2>
#<alt (+.f64 2 (*.f64 2 alpha))>
#<alt (+.f64 2 (*.f64 2 alpha))>
#<alt (+.f64 2 (*.f64 2 alpha))>
#<alt (*.f64 2 alpha)>
#<alt (*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))>
#<alt (*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))>
#<alt (*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))>
#<alt (*.f64 2 alpha)>
#<alt (*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))>
#<alt (*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))>
#<alt (*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))>
#<alt (/.f64 2 beta)>
#<alt (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))>
#<alt (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))>
#<alt (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))>
#<alt (*.f64 2 (/.f64 alpha beta))>
#<alt (*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 2 (/.f64 alpha beta))>
#<alt (*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)>
#<alt (/.f64 -16 (pow.f64 alpha 3))>
#<alt (/.f64 (-.f64 (*.f64 8 alpha) 16) (pow.f64 alpha 3))>
#<alt (/.f64 (-.f64 (*.f64 alpha (+.f64 8 (*.f64 -4 alpha))) 16) (pow.f64 alpha 3))>
#<alt (/.f64 (-.f64 (*.f64 alpha (+.f64 8 (*.f64 -4 alpha))) 16) (pow.f64 alpha 3))>
#<alt (/.f64 -4 alpha)>
#<alt (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) 4) alpha)>
#<alt (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) (+.f64 4 (/.f64 16 (pow.f64 alpha 2)))) alpha)>
#<alt (/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) (+.f64 4 (/.f64 16 (pow.f64 alpha 2)))) alpha)>
#<alt (/.f64 -4 alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (+.f64 4 (*.f64 -1 (/.f64 (-.f64 8 (*.f64 16 (/.f64 1 alpha))) alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (+.f64 4 (*.f64 -1 (/.f64 (-.f64 8 (*.f64 16 (/.f64 1 alpha))) alpha))) alpha))>
#<alt (/.f64 16 (pow.f64 alpha 2))>
#<alt (/.f64 (+.f64 16 (*.f64 -8 alpha)) (pow.f64 alpha 2))>
#<alt (/.f64 (+.f64 16 (*.f64 -8 alpha)) (pow.f64 alpha 2))>
#<alt (/.f64 (+.f64 16 (*.f64 -8 alpha)) (pow.f64 alpha 2))>
#<alt (/.f64 -8 alpha)>
#<alt (/.f64 -8 alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 8 (*.f64 16 (/.f64 1 alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 8 (*.f64 16 (/.f64 1 alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (-.f64 8 (*.f64 16 (/.f64 1 alpha))) alpha))>
#<alt (/.f64 16 (pow.f64 alpha 4))>
#<alt (/.f64 (+.f64 16 (*.f64 -8 alpha)) (pow.f64 alpha 4))>
#<alt (/.f64 (+.f64 16 (*.f64 alpha (-.f64 (*.f64 4 alpha) 8))) (pow.f64 alpha 4))>
#<alt (/.f64 (+.f64 16 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 4 (*.f64 -2 alpha))) 8))) (pow.f64 alpha 4))>
#<alt (/.f64 -2 alpha)>
#<alt (/.f64 (-.f64 (*.f64 4 (/.f64 1 alpha)) 2) alpha)>
#<alt (/.f64 (-.f64 (*.f64 4 (/.f64 1 alpha)) (+.f64 2 (/.f64 8 (pow.f64 alpha 2)))) alpha)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 16 (/.f64 1 (pow.f64 alpha 3)))) (+.f64 2 (/.f64 8 (pow.f64 alpha 2)))) alpha)>
#<alt (/.f64 -2 alpha)>
#<alt (*.f64 -1 (/.f64 (-.f64 2 (*.f64 4 (/.f64 1 alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 alpha))) alpha))) alpha))>
#<alt (*.f64 -1 (/.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 -1 (/.f64 (-.f64 8 (*.f64 16 (/.f64 1 alpha))) alpha))) alpha))) alpha))>
Calls

30 calls:

TimeVariablePointExpression
47.0ms
alpha
@0
(/ (+ alpha (+ alpha 2)) beta)
5.0ms
alpha
@inf
(/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)
1.0ms
beta
@0
(/ (+ alpha (+ alpha 2)) beta)
1.0ms
beta
@0
(* 2 (/ beta alpha))
1.0ms
alpha
@0
(/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)

rewrite208.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
395×log1p-expm1-u
322×associate-*r*
262×times-frac
244×associate-*l*
223×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029217
1494193
27957193
Stop Event
node limit
Counts
7 → 297
Calls
Call 1
Inputs
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(+.f64 alpha (+.f64 alpha 2))
(/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)
(/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 beta) alpha))) 1)
(/.f64 2 (/.f64 alpha beta))
(/.f64 1 (/.f64 alpha (*.f64 2 beta)))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 (neg.f64 (*.f64 2 beta)) (neg.f64 alpha))
(/.f64 (*.f64 2 (neg.f64 beta)) (neg.f64 alpha))
(/.f64 (*.f64 (neg.f64 beta) 2) (neg.f64 alpha))
(/.f64 (/.f64 (*.f64 2 beta) 1) alpha)
(/.f64 (/.f64 (*.f64 2 beta) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (*.f64 2 beta) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(pow.f64 (/.f64 (*.f64 2 beta) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 beta) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 2 beta) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 beta) alpha)) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 beta) alpha) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 2 beta) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 beta) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 beta) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 beta) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 beta) alpha)))
(exp.f64 (log.f64 (/.f64 (*.f64 2 beta) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 beta) alpha)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta alpha))) 1)
(*.f64 2 (*.f64 (/.f64 beta alpha) 1/2))
(*.f64 beta (/.f64 1 alpha))
(*.f64 (/.f64 beta alpha) 1)
(*.f64 (/.f64 (*.f64 2 beta) alpha) 1/2)
(*.f64 1 (/.f64 beta alpha))
(*.f64 (/.f64 1 alpha) beta)
(*.f64 (cbrt.f64 (/.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta alpha)) 2) (cbrt.f64 (/.f64 beta alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 beta) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (*.f64 2 beta) alpha)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 beta) alpha)) 2) (/.f64 (cbrt.f64 (/.f64 (*.f64 2 beta) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (cbrt.f64 beta) alpha))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 beta alpha)) (sqrt.f64 (/.f64 beta alpha)))
(*.f64 (pow.f64 alpha -1/2) (/.f64 beta (sqrt.f64 alpha)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 beta) alpha)) (*.f64 (sqrt.f64 (/.f64 (*.f64 2 beta) alpha)) 1/2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 beta) alpha)) (/.f64 (sqrt.f64 (/.f64 (*.f64 2 beta) alpha)) 2))
(*.f64 (sqrt.f64 beta) (/.f64 (sqrt.f64 beta) alpha))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 alpha)))
(*.f64 (neg.f64 beta) (/.f64 1 (neg.f64 alpha)))
(*.f64 (*.f64 (/.f64 beta alpha) -2) -1/2)
(*.f64 1/2 (/.f64 (*.f64 2 beta) alpha))
(*.f64 (*.f64 (/.f64 beta alpha) 1/2) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 beta (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) alpha))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 alpha)))
(*.f64 (*.f64 beta (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (*.f64 beta (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))
(pow.f64 (/.f64 beta alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 beta alpha)) 3)
(pow.f64 (pow.f64 (/.f64 beta alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 beta alpha)) 2)
(pow.f64 (/.f64 alpha beta) -1)
(neg.f64 (/.f64 (/.f64 (*.f64 2 beta) alpha) -2))
(neg.f64 (/.f64 beta (neg.f64 alpha)))
(neg.f64 (/.f64 (neg.f64 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 beta alpha) 2))
(log.f64 (exp.f64 (/.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta alpha))))
(cbrt.f64 (pow.f64 (/.f64 beta alpha) 3))
(cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (/.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 beta alpha)))
(log1p.f64 (expm1.f64 (/.f64 beta alpha)))
(exp.f64 (log.f64 (/.f64 beta alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 beta alpha)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (*.f64 2 alpha)))) 1)
(-.f64 (/.f64 (pow.f64 alpha 2) (-.f64 (+.f64 alpha -2) alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 alpha -2) alpha)))
(*.f64 (+.f64 2 (*.f64 2 alpha)) 1)
(*.f64 1 (+.f64 2 (*.f64 2 alpha)))
(*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) 2) (cbrt.f64 (+.f64 2 (*.f64 2 alpha))))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) (sqrt.f64 (+.f64 2 (*.f64 2 alpha))))
(*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha)))))
(*.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (-.f64 (+.f64 alpha -2) alpha)))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3))))
(/.f64 1 (/.f64 (-.f64 (+.f64 alpha -2) alpha) (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (pow.f64 alpha 2) (*.f64 alpha (+.f64 2 alpha)))))
(/.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (+.f64 alpha -2) alpha))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) alpha)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (-.f64 (+.f64 alpha -2) alpha)))
(/.f64 (+.f64 (pow.f64 (*.f64 2 alpha) 3) 8) (+.f64 (*.f64 (*.f64 2 alpha) (*.f64 2 alpha)) (-.f64 4 (*.f64 (*.f64 2 alpha) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2)) (-.f64 (+.f64 2 alpha) alpha))
(/.f64 (-.f64 (*.f64 (*.f64 2 alpha) (*.f64 2 alpha)) 4) (-.f64 (*.f64 2 alpha) 2))
(pow.f64 (+.f64 2 (*.f64 2 alpha)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) 3)
(pow.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))
(log.f64 (exp.f64 (+.f64 2 (*.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (*.f64 2 alpha)))))
(cbrt.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (*.f64 2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 2 (*.f64 2 alpha))))
(exp.f64 (log.f64 (+.f64 2 (*.f64 2 alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (*.f64 2 alpha))) 1))
(fma.f64 1 alpha (+.f64 2 alpha))
(fma.f64 1 (+.f64 2 alpha) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) (cbrt.f64 (+.f64 2 alpha)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 2 alpha))
(fma.f64 (sqrt.f64 (+.f64 2 alpha)) (sqrt.f64 (+.f64 2 alpha)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))) 1)
(*.f64 (+.f64 2 (*.f64 2 alpha)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) 1)
(*.f64 1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) 2) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) beta))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) 2) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) beta))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) (/.f64 1 beta)))
(*.f64 (+.f64 (neg.f64 (*.f64 2 alpha)) -2) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 beta) (+.f64 2 (*.f64 2 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 2 (*.f64 2 alpha)) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 2 (*.f64 2 alpha)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 alpha))) (sqrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) 1) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 alpha))) (cbrt.f64 beta)))
(pow.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(pow.f64 (/.f64 beta (+.f64 2 (*.f64 2 alpha))) -1)
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) (neg.f64 beta)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 2 alpha)) -2) beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 1))
(+.f64 (/.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) alpha) (neg.f64 (/.f64 4 alpha)))
(-.f64 0 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) alpha) (/.f64 4 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))) 1)
(*.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (/.f64 1 alpha))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (neg.f64 (/.f64 1 alpha)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (*.f64 (/.f64 1 alpha) -1))
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -1)
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) (/.f64 1 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) -1))
(*.f64 (pow.f64 alpha -1/2) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (sqrt.f64 alpha)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) alpha))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) -1))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 4) (/.f64 1 alpha))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 4) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (sqrt.f64 alpha)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) 3) (pow.f64 (/.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 1))
(+.f64 (*.f64 16 (pow.f64 alpha -2)) (neg.f64 (/.f64 8 alpha)))
(-.f64 0 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))
(-.f64 (*.f64 16 (pow.f64 alpha -2)) (/.f64 8 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))) 1)
(*.f64 -1 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))
(*.f64 1 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 16 alpha) -8))
(*.f64 (+.f64 (/.f64 16 alpha) -8) (/.f64 1 alpha))
(*.f64 (+.f64 (/.f64 16 alpha) -8) (neg.f64 (/.f64 1 alpha)))
(*.f64 (+.f64 (/.f64 16 alpha) -8) (*.f64 (/.f64 1 alpha) -1))
(*.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -1)
(*.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) (/.f64 1 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) -1))
(*.f64 (pow.f64 alpha -1/2) (/.f64 (+.f64 (/.f64 16 alpha) -8) (sqrt.f64 alpha)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) alpha))
(*.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (*.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) -1))
(*.f64 (+.f64 (neg.f64 (/.f64 16 alpha)) 8) (/.f64 1 alpha))
(*.f64 (+.f64 (neg.f64 (/.f64 16 alpha)) 8) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 16 alpha) -8) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 16 alpha) -8) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 16 alpha) -8) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (cbrt.f64 alpha)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))) (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 16 alpha) -8) (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 16 alpha) -8) (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))) (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(pow.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 16 alpha) -8)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 16 alpha) -8) 3) (pow.f64 (/.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 16 alpha) -8) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 1))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 4) (pow.f64 alpha 2)) (neg.f64 (/.f64 2 alpha)))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 4) (pow.f64 alpha 2)) (/.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(*.f64 (pow.f64 alpha -1/2) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (sqrt.f64 alpha)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (/.f64 1 alpha)))
(*.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (neg.f64 alpha)))
(neg.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) 3) (pow.f64 (/.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 1))

simplify221.0ms (2.3%)

Algorithm
egg-herbie
Rules
802×exp-prod
680×cube-prod
616×associate-*r*
548×associate-*l*
504×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070713325
1158311800
2527011672
Stop Event
node limit
Counts
390 → 458
Calls
Call 1
Inputs
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
2
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 2 alpha))
(*.f64 2 alpha)
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(*.f64 2 alpha)
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 -16 (pow.f64 alpha 3))
(/.f64 (-.f64 (*.f64 8 alpha) 16) (pow.f64 alpha 3))
(/.f64 (-.f64 (*.f64 alpha (+.f64 8 (*.f64 -4 alpha))) 16) (pow.f64 alpha 3))
(/.f64 (-.f64 (*.f64 alpha (+.f64 8 (*.f64 -4 alpha))) 16) (pow.f64 alpha 3))
(/.f64 -4 alpha)
(/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) 4) alpha)
(/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) (+.f64 4 (/.f64 16 (pow.f64 alpha 2)))) alpha)
(/.f64 (-.f64 (*.f64 8 (/.f64 1 alpha)) (+.f64 4 (/.f64 16 (pow.f64 alpha 2)))) alpha)
(/.f64 -4 alpha)
(*.f64 -1 (/.f64 (-.f64 4 (*.f64 8 (/.f64 1 alpha))) alpha))
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 -1 (/.f64 (-.f64 8 (*.f64 16 (/.f64 1 alpha))) alpha))) alpha))
(*.f64 -1 (/.f64 (+.f64 4 (*.f64 -1 (/.f64 (-.f64 8 (*.f64 16 (/.f64 1 alpha))) alpha))) alpha))
(/.f64 16 (pow.f64 alpha 2))
(/.f64 (+.f64 16 (*.f64 -8 alpha)) (pow.f64 alpha 2))
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(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) 3) (pow.f64 (/.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) 1))
(+.f64 (*.f64 16 (pow.f64 alpha -2)) (neg.f64 (/.f64 8 alpha)))
(-.f64 0 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))
(-.f64 (*.f64 16 (pow.f64 alpha -2)) (/.f64 8 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))) 1)
(*.f64 -1 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))
(*.f64 1 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 16 alpha) -8))
(*.f64 (+.f64 (/.f64 16 alpha) -8) (/.f64 1 alpha))
(*.f64 (+.f64 (/.f64 16 alpha) -8) (neg.f64 (/.f64 1 alpha)))
(*.f64 (+.f64 (/.f64 16 alpha) -8) (*.f64 (/.f64 1 alpha) -1))
(*.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -1)
(*.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) (/.f64 1 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) -1))
(*.f64 (pow.f64 alpha -1/2) (/.f64 (+.f64 (/.f64 16 alpha) -8) (sqrt.f64 alpha)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) alpha))
(*.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (*.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) -1))
(*.f64 (+.f64 (neg.f64 (/.f64 16 alpha)) 8) (/.f64 1 alpha))
(*.f64 (+.f64 (neg.f64 (/.f64 16 alpha)) 8) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 16 alpha) -8) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 16 alpha) -8) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 16 alpha) -8) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 16 alpha) -8)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 16 alpha) -8)) (cbrt.f64 alpha)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))) (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 16 alpha) -8) (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 16 alpha) -8) (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))) (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(pow.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 16 alpha) -8)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 16 alpha) -8) 3) (pow.f64 (/.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 16 alpha) -8) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha)) 1))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 4) (pow.f64 alpha 2)) (neg.f64 (/.f64 2 alpha)))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) 4) (pow.f64 alpha 2)) (/.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(*.f64 (pow.f64 alpha -1/2) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (sqrt.f64 alpha)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (/.f64 1 alpha)))
(*.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 2)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (neg.f64 alpha)))
(neg.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) 3) (pow.f64 (/.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 1))
Outputs
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
2
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(+.f64 2 (*.f64 2 alpha))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(*.f64 2 alpha)
(*.f64 alpha 2)
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(*.f64 2 alpha)
(*.f64 alpha 2)
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(*.f64 alpha (+.f64 2 (*.f64 2 (/.f64 1 alpha))))
(+.f64 2 (*.f64 alpha 2))
(fma.f64 alpha 2 2)
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(*.f64 2 (/.f64 alpha beta))
(*.f64 alpha (/.f64 2 beta))
(*.f64 alpha (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 1 (*.f64 alpha beta)))))
(*.f64 alpha (+.f64 (/.f64 2 beta) (/.f64 2 (*.f64 beta alpha))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) alpha))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (cbrt.f64 (pow.f64 alpha -2))) (/.f64 1 (cbrt.f64 alpha)))
(*.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) (*.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (cbrt.f64 alpha))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 alpha -2)) (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha))) (cbrt.f64 alpha))
(*.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (cbrt.f64 alpha)))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (pow.f64 alpha -1/2)) (pow.f64 alpha -1/2))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 1)
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 3)
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 3) 1/3)
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 2)
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2)) -1)
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(neg.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) (neg.f64 alpha)))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(neg.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha)) alpha))
(*.f64 (/.f64 -1 alpha) (+.f64 2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)))
(/.f64 (+.f64 -2 (/.f64 (+.f64 4 (/.f64 (+.f64 8 (/.f64 -16 alpha)) alpha)) alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 2))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha))))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha) 3))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) 3) (pow.f64 (/.f64 1 alpha) 3)))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) 3) (pow.f64 alpha 3)))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 16 alpha) -8) alpha) -4) alpha) -2) alpha)) 1))
(/.f64 (+.f64 -2 (/.f64 (+.f64 -4 (/.f64 (+.f64 -8 (/.f64 16 alpha)) alpha)) alpha)) alpha)

eval209.0ms (2.1%)

Compiler

Compiled 9593 to 7600 computations (20.8% saved)

prune114.0ms (1.2%)

Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New4535458
Fresh134
Picked235
Done088
Total45619475
Accuracy
100.0%
Counts
475 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.2%
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
24.2%
(/.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 8 alpha) -4) alpha)) alpha) 2)
30.0%
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
24.5%
(/.f64 (/.f64 2 alpha) 2)
71.6%
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))) 2)
25.6%
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
29.1%
(/.f64 (-.f64 2 (/.f64 (*.f64 alpha 2) beta)) 2)
25.8%
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
52.4%
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
50.2%
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
74.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
72.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
49.1%
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
23.2%
(/.f64 (*.f64 -1 (/.f64 (-.f64 2 (/.f64 (-.f64 4 (/.f64 (+.f64 8 (/.f64 -16 alpha)) alpha)) alpha)) (neg.f64 alpha))) 2)
6.3%
(/.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 4 (*.f64 -2 alpha))) 8))) (pow.f64 alpha 4))) 2)
9.3%
(/.f64 beta alpha)
33.6%
(/.f64 2 2)
51.7%
(/.f64 1 2)
9.3%
(*.f64 (/.f64 1 alpha) beta)
Compiler

Compiled 663 to 504 computations (24% saved)

regimes116.0ms (1.2%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 8 alpha) -4) alpha)) alpha) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (*.f64 -1 (/.f64 (-.f64 2 (/.f64 (-.f64 4 (/.f64 (+.f64 8 (/.f64 -16 alpha)) alpha)) alpha)) (neg.f64 alpha))) 2)
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 4 (*.f64 -2 alpha))) 8))) (pow.f64 alpha 4))) 2)
(/.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha) 2)
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha (+.f64 2 (*.f64 2 beta)))) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 2)) 2)
(/.f64 (/.f64 (-.f64 (-.f64 -2 beta) (+.f64 beta (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (fma.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta alpha) (*.f64 (+.f64 2 beta) (-.f64 (-.f64 -2 beta) beta)))) alpha))) (neg.f64 alpha)) 2)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 4) alpha) (fma.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 (-.f64 -2 beta) beta)))) alpha) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 2 beta)))) alpha) (-.f64 (-.f64 -2 beta) beta)) (neg.f64 alpha)) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
Calls

5 calls:

47.0ms
beta
30.0ms
alpha
18.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
11.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
AccuracySegmentsBranch
96.3%2alpha
75.8%3beta
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes32.0ms (0.3%)

Counts
28 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 8 alpha) -4) alpha)) alpha) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (*.f64 -1 (/.f64 (-.f64 2 (/.f64 (-.f64 4 (/.f64 (+.f64 8 (/.f64 -16 alpha)) alpha)) alpha)) (neg.f64 alpha))) 2)
(/.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 16 (/.f64 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha)) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 16 (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 4 (*.f64 -2 alpha))) 8))) (pow.f64 alpha 4))) 2)
(/.f64 (/.f64 (+.f64 (-.f64 (*.f64 2 beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) alpha)) (+.f64 2 (*.f64 beta (/.f64 (-.f64 -2 beta) alpha)))) alpha) 2)
(/.f64 (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))) 2)
(/.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
Calls

3 calls:

17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes30.0ms (0.3%)

Counts
21 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (/.f64 (+.f64 (/.f64 8 alpha) -4) alpha)) alpha) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 2 beta))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

3 calls:

13.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
AccuracySegmentsBranch
99.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
99.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
99.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes19.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 alpha 2) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (/.f64 (-.f64 2 (/.f64 4 alpha)) alpha) 2)
(/.f64 (+.f64 2 (/.f64 (-.f64 (-.f64 -2 alpha) alpha) beta)) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 alpha (+.f64 alpha 2)) beta)) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

1 calls:

18.0ms
alpha
Results
AccuracySegmentsBranch
94.6%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (*.f64 alpha 2) beta)) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2)
(/.f64 (/.f64 2 alpha) 2)
Calls

1 calls:

16.0ms
alpha
Results
AccuracySegmentsBranch
88.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.4%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
Outputs
(/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2)
(/.f64 (/.f64 2 alpha) 2)
Calls

2 calls:

24.0ms
beta
13.0ms
alpha
Results
AccuracySegmentsBranch
73.0%4beta
72.1%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 beta 1/2) 1) 2)
Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
Calls

1 calls:

11.0ms
alpha
Results
AccuracySegmentsBranch
71.7%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(*.f64 (/.f64 1 alpha) beta)
(/.f64 (+.f64 -1 1) 2)
Outputs
(/.f64 1 2)
(/.f64 2 2)
Calls

2 calls:

17.0ms
alpha
9.0ms
beta
Results
AccuracySegmentsBranch
70.4%2beta
59.8%3alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 1 2)
Outputs
(/.f64 1 2)
Calls

2 calls:

4.0ms
alpha
3.0ms
beta
Results
AccuracySegmentsBranch
51.7%1alpha
51.7%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999953858
-0.9999840840797178
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999953858
-0.9999840840797178
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999953858
-0.9999840840797178
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
1.2206177777002746e+25
7.455613915697646e+30
Results
18.0ms143×256valid
0.0ms256valid
Compiler

Compiled 236 to 195 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-div, time spent: 2.0ms, 35.0% of total-time
Operation ival-add, time spent: 2.0ms, 35.0% of total-time
Operation ival-sub, time spent: 1.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
4.826035164225902e+32
9.965206611623175e+45
Results
21.0ms159×256valid
0.0ms256valid
Compiler

Compiled 220 to 185 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-add, time spent: 3.0ms, 47.0% of total-time
Operation ival-div, time spent: 2.0ms, 31.0% of total-time
Operation ival-sub, time spent: 1.0ms, 16.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
0.10825105569764558
125658.34288603632
Results
18.0ms143×256valid
0.0ms256valid
Compiler

Compiled 182 to 159 computations (12.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-div, time spent: 2.0ms, 35.0% of total-time
Operation ival-add, time spent: 2.0ms, 35.0% of total-time
Operation ival-sub, time spent: 1.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.10825105569764558
125658.34288603632
Results
18.0ms143×256valid
0.0ms256valid
Compiler

Compiled 146 to 132 computations (9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-sub, time spent: 2.0ms, 29.0% of total-time
Operation ival-div, time spent: 2.0ms, 29.0% of total-time
Operation ival-add, time spent: 2.0ms, 29.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
1.0060044913306911e-5
3.2125154123052813
Results
17.0ms107×256valid
6.0ms24×1024valid
2.0ms11×512valid
0.0ms1024valid
0.0ms2048valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-div, time spent: 3.0ms, 37.0% of total-time
Operation ival-add, time spent: 3.0ms, 37.0% of total-time
Operation const, time spent: 1.0ms, 12.0% of total-time
Operation ival-sub, time spent: 1.0ms, 12.0% of total-time

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
42×+-commutative
22×sub-neg
20×*-commutative
16×neg-sub0
16×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065634
191634
2110634
3124634
4139634
5148634
6152634
7153634
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 12500000000000000595591168) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 490000000000000013684115844890624) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 8106479329266893/9007199254740992) (/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -9007109182748445/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 12500000000000000595591168) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 12500000000000000595591168) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 490000000000000013684115844890624) (/.f64 (+.f64 (/.f64 beta (+.f64 2 beta)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 490000000000000013684115844890624) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 8106479329266893/9007199254740992) (/.f64 (-.f64 1 (*.f64 1/2 alpha)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 8106479329266893/9007199254740992) (/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 2) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 2) 1/2 (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 201 to 151 computations (24.9% saved)

soundness916.0ms (9.4%)

Rules
6132×fma-neg
1296×fma-neg
1235×log1p-expm1-u
1235×expm1-log1p-u
1154×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051912331
1145811906
2471111306
01480
120280
2317480
038359
196351
2204351
3534343
41351343
53461343
66068343
76956343
87145343
97181343
107228343
117228343
127435343
137550343
147552343
157552315
Stop Event
node limit
node limit
node limit
Compiler

Compiled 197 to 130 computations (34% saved)

end0.0ms (0%)

preprocess125.0ms (1.3%)

Compiler

Compiled 400 to 284 computations (29% saved)

Profiling

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