Details

Time bar (total: 2.3min)

analyze48.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
50%0%0%99.9%0%0%0%3
50%0%0%99.9%0%0%0%4
75%0.1%0%99.9%0%0%0%5
75%0.1%0%99.9%0%0%0%6
87.5%0.1%0%99.9%0%0%0%7
87.5%0.1%0%99.9%0%0%0%8
93.8%0.1%0%99.9%0%0%0%9
93.8%0.1%0%99.9%0%0%0%10
96.9%0.1%0%99.9%0%0%0%11
96.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 41 to 27 computations (34.1% saved)

sample1.5s (1%)

Results
1.4s8256×body256valid
Bogosity

preprocess3.6s (2.6%)

Algorithm
egglog
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(/.f64 (-.f64 (*.f64 cosTheta cosTheta) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 cosTheta cosTheta))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 cosTheta cosTheta) 1) alpha) alpha))))
Outputs
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (fma.f64 cosTheta (*.f64 (fma.f64 alpha alpha -1) cosTheta) 1) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 cosTheta cosTheta) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 cosTheta cosTheta))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 cosTheta cosTheta) 1) alpha) alpha))))
(/.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (*.f64 (fma.f64 alpha (*.f64 (fma.f64 cosTheta cosTheta -1) alpha) 1) (log.f64 (pow.f64 cosTheta 2)))))
Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify1.5s (1.1%)

Algorithm
egglog
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
Outputs
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64)))

eval2.0ms (0%)

Compiler

Compiled 47 to 29 computations (38.3% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64)))
0.4b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
Compiler

Compiled 49 to 32 computations (34.7% saved)

localize56.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta)
0.2b
(*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta)
0.2b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.3b
(*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha)))
Compiler

Compiled 93 to 39 computations (58.1% saved)

series167.0ms (0.1%)

Counts
4 → 72
Calls

21 calls:

TimeVariablePointExpression
40.0ms
alpha
@0
(*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha)))
10.0ms
alpha
@inf
(*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha)))
3.0ms
alpha
@inf
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
3.0ms
alpha
@0
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
2.0ms
cosTheta
@0
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
Compiler

Compiled 11060 to 8695 computations (21.4% saved)

rewrite1.8s (1.3%)

Algorithm
batch-egg-rewrite
Rules
204×egg-rr
63×egg-rr
53×egg-rr
17×egg-rr
Counts
4 → 337
Calls
Call 1
Inputs
(*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha)))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta)
(*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta)
Outputs
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cosTheta -1)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (*.f64 -1 (pow.f64 cosTheta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 cosTheta 2) -1) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) (*.f64 cosTheta (neg.f64 cosTheta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 cosTheta (*.f64 (pow.f64 alpha 2) cosTheta)) (*.f64 cosTheta (neg.f64 cosTheta)))))))

simplify8.1s (5.8%)

Algorithm
egglog
Counts
409 → 516
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 4))) (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
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(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))))) (pow.f64 cosTheta 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 2))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))))) (pow.f64 cosTheta 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 alpha) 6) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2))) (pow.f64 (pow.f64 cosTheta 2) 2)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(-.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) 2) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 -1 alpha) 4))) (pow.f64 cosTheta 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
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(/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 cosTheta 4))) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 cosTheta 6) (pow.f64 (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 cosTheta 4))) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(/.f64 (pow.f64 (/.f64 1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 cosTheta) 4) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64))))))
(+.f64 (/.f64 (pow.f64 (/.f64 1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 cosTheta) 4) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64))))) (/.f64 (pow.f64 (/.f64 1 cosTheta) 6) (*.f64 (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))))
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(/.f64 (pow.f64 (/.f64 -1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64))))))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 6) (*.f64 (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64)))))))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 6) (*.f64 (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 8) (*.f64 (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64))))))))
(*.f64 -1 cosTheta)
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(+.f64 (*.f64 -1 cosTheta) (*.f64 (pow.f64 (/.f64 1 alpha) -2) cosTheta))
(*.f64 (pow.f64 (/.f64 -1 alpha) -2) cosTheta)
(+.f64 (*.f64 (pow.f64 (/.f64 -1 alpha) -2) cosTheta) (*.f64 -1 cosTheta))
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(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 (-.f64 (pow.f64 alpha 2) 1) cosTheta)
(*.f64 -1 (pow.f64 cosTheta 2))
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(+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 -1 (pow.f64 cosTheta 2)))
(*.f64 (pow.f64 cosTheta 2) (pow.f64 (/.f64 1 alpha) -2))
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(if (!=.f64 (*.f64 (pow.f64 alpha 2) cosTheta) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) cosTheta) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (*.f64 (pow.f64 alpha 2) cosTheta)) (-.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (neg.f64 cosTheta))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (-.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (neg.f64 cosTheta)) 0) (/.f64 (-.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (*.f64 cosTheta (pow.f64 alpha 2))) (pow.f64 cosTheta 2)) (-.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (neg.f64 cosTheta))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (-.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (neg.f64 cosTheta)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (*.f64 (pow.f64 alpha 2) cosTheta)) (pow.f64 cosTheta 2)) (-.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (neg.f64 cosTheta))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (*.f64 cosTheta (pow.f64 alpha 2)) 0) (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (+.f64 1 (/.f64 (neg.f64 cosTheta) (*.f64 cosTheta (pow.f64 alpha 2))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (*.f64 (pow.f64 alpha 2) cosTheta) 0) (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (+.f64 1 (/.f64 (neg.f64 cosTheta) (*.f64 (pow.f64 alpha 2) cosTheta)))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (+.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (*.f64 cosTheta (pow.f64 alpha 2))) (-.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (neg.f64 cosTheta)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 cosTheta (pow.f64 alpha 2)) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (*.f64 cosTheta (pow.f64 alpha 2))) (-.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (neg.f64 cosTheta))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (*.f64 (pow.f64 alpha 2) cosTheta)) (-.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (neg.f64 cosTheta)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) cosTheta) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (*.f64 (pow.f64 alpha 2) cosTheta)) (-.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (neg.f64 cosTheta))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (neg.f64 cosTheta) 0) (/.f64 (+.f64 (pow.f64 (*.f64 cosTheta (pow.f64 alpha 2)) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (*.f64 cosTheta (pow.f64 alpha 2))) (-.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (neg.f64 cosTheta))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (neg.f64 cosTheta) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) cosTheta) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (*.f64 (pow.f64 alpha 2) cosTheta)) (-.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (neg.f64 cosTheta))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 1 0) (*.f64 (fma.f64 alpha alpha -1) cosTheta) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(+.f64 (*.f64 (pow.f64 alpha 2) cosTheta) (neg.f64 cosTheta))
(+.f64 (*.f64 cosTheta (pow.f64 alpha 2)) (neg.f64 cosTheta))
(+.f64 (neg.f64 cosTheta) (*.f64 (pow.f64 alpha 2) cosTheta))
(+.f64 (*.f64 alpha (*.f64 cosTheta (+.f64 alpha 1))) (*.f64 -1 (*.f64 cosTheta (+.f64 alpha 1))))
(+.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) 1) (neg.f64 cosTheta))
(+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) 1) (neg.f64 cosTheta))
(+.f64 (neg.f64 cosTheta) (*.f64 cosTheta (pow.f64 alpha 2)))
(+.f64 (*.f64 (*.f64 cosTheta (+.f64 alpha 1)) alpha) (*.f64 (*.f64 cosTheta (+.f64 alpha 1)) -1))
(+.f64 (*.f64 1 (*.f64 cosTheta (pow.f64 alpha 2))) (neg.f64 cosTheta))
(+.f64 (*.f64 1 (*.f64 (pow.f64 alpha 2) cosTheta)) (neg.f64 cosTheta))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (pow.f64 cosTheta 2)))
(*.f64 (+.f64 alpha 1) (*.f64 (+.f64 -1 alpha) (pow.f64 cosTheta 2)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 2)))
(*.f64 (cbrt.f64 cosTheta) (*.f64 (cbrt.f64 (pow.f64 cosTheta 2)) (*.f64 (fma.f64 alpha alpha -1) cosTheta)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2)) cosTheta))
(*.f64 (*.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) (cbrt.f64 cosTheta)) (cbrt.f64 (pow.f64 cosTheta 2)))
(*.f64 (*.f64 cosTheta (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2)))
(*.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta)
(*.f64 cosTheta (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 2)) (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))))
(*.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3)) (pow.f64 cosTheta 2)) (/.f64 1 (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1)))
(*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (pow.f64 cosTheta 2)))
(*.f64 -1 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)))
(*.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)) -1)
(*.f64 1 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(*.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 1)
(-.f64 0 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3)) (pow.f64 cosTheta 2)) (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (pow.f64 cosTheta 2))) (cbrt.f64 (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) (*.f64 (+.f64 -1 alpha) (pow.f64 cosTheta 2))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3)) (pow.f64 cosTheta 2)) 1) (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 2) 3)) (pow.f64 cosTheta 2)) (neg.f64 (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1)))
(/.f64 (*.f64 (*.f64 cosTheta (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3))) cosTheta) (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3)) cosTheta) cosTheta) (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3)) (pow.f64 cosTheta 2))) (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1))
(/.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3))) (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1))
(/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha 2) 3))) (neg.f64 (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1)))
(/.f64 (*.f64 cosTheta (*.f64 cosTheta (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3)))) (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1))
(/.f64 (*.f64 cosTheta (*.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3)) cosTheta)) (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1))
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 2) 3)) (pow.f64 cosTheta 2))) (neg.f64 (+.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 1)))
(/.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)) -1)
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 1)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3))
(neg.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)))
(if (!=.f64 (pow.f64 cosTheta 2) 0) (/.f64 (fma.f64 alpha alpha -1) (pow.f64 (pow.f64 cosTheta 2) -1)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 2)))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 0) (/.f64 cosTheta (/.f64 1 (*.f64 (fma.f64 alpha alpha -1) cosTheta))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 0) (pow.f64 (/.f64 1 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) -1) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 cosTheta 0) (/.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) (pow.f64 cosTheta -1)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 1 0) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(+.f64 (*.f64 -1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)))
(+.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (*.f64 -1 (pow.f64 cosTheta 2)))
(+.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))
(+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))
(+.f64 (*.f64 (pow.f64 cosTheta 2) -1) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) -1))
(+.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) (*.f64 cosTheta (neg.f64 cosTheta)))
(+.f64 (*.f64 cosTheta (*.f64 (pow.f64 alpha 2) cosTheta)) (*.f64 cosTheta (neg.f64 cosTheta)))
Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(fma.f64 (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))) (/.f64 (*.f64 -1/2 (*.f64 cosTheta cosTheta)) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) 2) (PI.f64))))) (*.f64 alpha alpha) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 4))) (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(+.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))) (/.f64 (*.f64 -1/2 (*.f64 cosTheta cosTheta)) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) 2) (PI.f64)))))) (/.f64 (*.f64 (*.f64 (*.f64 cosTheta cosTheta) (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))) (/.f64 (*.f64 -1/2 (*.f64 cosTheta cosTheta)) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) 2) (PI.f64)))))) (pow.f64 alpha 4)) (-.f64 1 (*.f64 cosTheta cosTheta)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 6))) (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 4))) (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(+.f64 (fma.f64 (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))) (/.f64 (*.f64 -1/2 (*.f64 cosTheta cosTheta)) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) 2) (PI.f64))))) (*.f64 alpha alpha) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))) (/.f64 (*.f64 -1/2 (*.f64 cosTheta cosTheta)) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) 2) (PI.f64))))) (pow.f64 alpha 6)) (pow.f64 cosTheta 4)) (pow.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) 2)) (/.f64 (*.f64 (*.f64 (*.f64 cosTheta cosTheta) (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))) (/.f64 (*.f64 -1/2 (*.f64 cosTheta cosTheta)) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) 2) (PI.f64)))))) (pow.f64 alpha 4)) (-.f64 1 (*.f64 cosTheta cosTheta))))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64))))
(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 cosTheta cosTheta) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 2)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
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(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(neg.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(if (!=.f64 (pow.f64 cosTheta 2) 0) (/.f64 (fma.f64 alpha alpha -1) (pow.f64 (pow.f64 cosTheta 2) -1)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (*.f64 cosTheta cosTheta) 0) (/.f64 (fma.f64 alpha alpha -1) (pow.f64 (*.f64 cosTheta cosTheta) -1)) (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 2)))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 cosTheta 4))) 0) (/.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))) (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 cosTheta 4))))) (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)))
(if (!=.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 0) (/.f64 cosTheta (/.f64 1 (*.f64 (fma.f64 alpha alpha -1) cosTheta))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 0) (/.f64 cosTheta (/.f64 (pow.f64 (fma.f64 alpha alpha -1) -1) cosTheta)) (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)))
(if (!=.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 0) (pow.f64 (/.f64 1 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) -1) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)) 0) (pow.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) -1) (*.f64 cosTheta cosTheta)) -1) (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)))
(if (!=.f64 cosTheta 0) (/.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) (pow.f64 cosTheta -1)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 cosTheta 0) (/.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) (pow.f64 cosTheta -1)) (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)))
(if (!=.f64 1 0) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 1 0) (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)) (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)))
(+.f64 (*.f64 -1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(+.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (*.f64 -1 (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(+.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(+.f64 (*.f64 (pow.f64 cosTheta 2) -1) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) -1))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(+.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) (*.f64 cosTheta (neg.f64 cosTheta)))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))
(+.f64 (*.f64 cosTheta (*.f64 (pow.f64 alpha 2) cosTheta)) (*.f64 cosTheta (neg.f64 cosTheta)))
(*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta))

localize41.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(log.f64 (pow.f64 alpha 2))
0.2b
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
0.2b
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64)))
0.3b
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64))
Compiler

Compiled 85 to 53 computations (37.6% saved)

series171.0ms (0.1%)

Counts
4 → 60
Calls

21 calls:

TimeVariablePointExpression
12.0ms
cosTheta
@0
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64))
8.0ms
alpha
@inf
(log.f64 (pow.f64 alpha 2))
8.0ms
alpha
@-inf
(log.f64 (pow.f64 alpha 2))
3.0ms
alpha
@-inf
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64))
3.0ms
alpha
@inf
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64))
Compiler

Compiled 12600 to 9865 computations (21.7% saved)

rewrite2.0s (1.4%)

Algorithm
batch-egg-rewrite
Rules
161×egg-rr
158×egg-rr
45×egg-rr
17×egg-rr
Counts
4 → 381
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64)))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(log.f64 (pow.f64 alpha 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)) (cbrt.f64 (log.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (log.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (pow.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (pow.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (/.f64 1 (/.f64 1 (log.f64 (pow.f64 alpha 2)))) (log.f64 (pow.f64 alpha 2)))))))

simplify7.7s (5.5%)

Algorithm
egglog
Counts
441 → 546
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))) (*.f64 2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64)))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))) (*.f64 2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64)))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))) (*.f64 2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (*.f64 -2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (*.f64 -2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (*.f64 -2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
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(+.f64 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64)))))
(+.f64 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64)))))
(+.f64 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (PI.f64)))))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
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(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
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(*.f64 (cbrt.f64 cosTheta) (*.f64 (cbrt.f64 (pow.f64 cosTheta 2)) (fma.f64 alpha alpha -1)))
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 cosTheta 2)) (fma.f64 alpha alpha -1)) (cbrt.f64 cosTheta))
(*.f64 (*.f64 cosTheta (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (fma.f64 alpha alpha -1)))
(*.f64 (cbrt.f64 (pow.f64 cosTheta 2)) (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (*.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))))
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(*.f64 (*.f64 cosTheta (fma.f64 alpha alpha -1)) 1)
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(*.f64 (fma.f64 alpha alpha -1) cosTheta)
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(*.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)) (cbrt.f64 (log.f64 (pow.f64 alpha 2))))
(*.f64 -1 (neg.f64 (log.f64 (pow.f64 alpha 2))))
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(*.f64 (log.f64 (pow.f64 alpha 2)) 1)
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(pow.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3) 1/3)
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Outputs
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eval913.0ms (0.6%)

Compiler

Compiled 54498 to 34376 computations (36.9% saved)

prune243.0ms (0.2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1039231062
Fresh000
Picked101
Done011
Total1040241064
Error
0b
Counts
1064 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
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0.6b
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64))))
0.7b
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
0.3b
(/.f64 (fma.f64 alpha alpha -1) (*.f64 2 (+.f64 (*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64))) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))))
0.4b
(/.f64 (fma.f64 alpha alpha -1) (*.f64 -2 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (pow.f64 (pow.f64 alpha -1) -2)) (-.f64 1 (*.f64 cosTheta cosTheta))))))
0.5b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64)))
0.4b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.8b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
38.9b
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))
0.5b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (if (!=.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 0) (pow.f64 (/.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) -1) (PI.f64)) -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.7b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 (pow.f64 alpha 2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.6b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.4b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.5b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
0.6b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))) 3)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.6b
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 -1 alpha)) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2) 1) (log.f64 (pow.f64 alpha 2))))
0.5b
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1))) (*.f64 (log.f64 (pow.f64 alpha 2)) (-.f64 -1 (*.f64 cosTheta (*.f64 cosTheta (fma.f64 alpha alpha -1))))))
0.7b
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (/.f64 (+.f64 -1 alpha) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha)))) (PI.f64))) (-.f64 (fma.f64 alpha alpha 1) alpha))
0.5b
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1))) (pow.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))
0.6b
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
38.9b
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
0.5b
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 cosTheta (fma.f64 alpha alpha -1)) 2)) 1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
0.5b
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (-.f64 -1 (*.f64 cosTheta (*.f64 cosTheta (fma.f64 alpha alpha -1))))) (log.f64 (pow.f64 alpha 2))) (/.f64 -1 (PI.f64)))
0.6b
(*.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2) 1)) (/.f64 (+.f64 -1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
Compiler

Compiled 1352 to 888 computations (34.3% saved)

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64)))
0.2b
(/.f64 (fma.f64 alpha alpha -1) (*.f64 2 (+.f64 (*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64))) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))))
0.3b
(*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64))
0.3b
(*.f64 (*.f64 alpha alpha) (PI.f64))
Compiler

Compiled 144 to 45 computations (68.8% saved)

series175.0ms (0.1%)

Counts
4 → 33
Calls

21 calls:

TimeVariablePointExpression
22.0ms
cosTheta
@0
(*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64)))
10.0ms
alpha
@-inf
(*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64))
7.0ms
alpha
@inf
(*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64))
6.0ms
alpha
@0
(*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64))
4.0ms
alpha
@0
(/.f64 (fma.f64 alpha alpha -1) (*.f64 2 (+.f64 (*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64))) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))))
Compiler

Compiled 15190 to 10725 computations (29.4% saved)

rewrite1.6s (1.2%)

Algorithm
batch-egg-rewrite
Rules
97×egg-rr
41×egg-rr
33×egg-rr
23×egg-rr
Counts
4 → 194
Calls
Call 1
Inputs
(*.f64 (*.f64 alpha alpha) (PI.f64))
(*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 2 (+.f64 (*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64))) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))))
(*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 alpha) (*.f64 (neg.f64 (fma.f64 cosTheta cosTheta -1)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 alpha) (*.f64 (neg.f64 (fma.f64 cosTheta cosTheta -1)) (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (*.f64 (neg.f64 (fma.f64 cosTheta cosTheta -1)) (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (fma.f64 cosTheta cosTheta -1)) (PI.f64)) (log.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (*.f64 (neg.f64 (fma.f64 cosTheta cosTheta -1)) (PI.f64))) 2)) (cbrt.f64 (*.f64 (log.f64 alpha) (*.f64 (neg.f64 (fma.f64 cosTheta cosTheta -1)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 alpha)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (*.f64 (neg.f64 (fma.f64 cosTheta cosTheta -1)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (log.f64 alpha)) (*.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1))))))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 cosTheta 2)) 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 cosTheta (*.f64 (*.f64 cosTheta (log.f64 alpha)) (*.f64 (pow.f64 alpha 2) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 cosTheta (*.f64 cosTheta (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (PI.f64)) (pow.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (pow.f64 cosTheta 2))))) (#(struct:change 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(PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (pow.f64 cosTheta 2))) (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 0) (/.f64 1 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))) (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))))))

simplify4.9s (3.5%)

Algorithm
egglog
Counts
227 → 253
Calls
Call 1
Inputs
(*.f64 (pow.f64 alpha 2) (PI.f64))
(*.f64 (pow.f64 alpha 2) (PI.f64))
(*.f64 (pow.f64 alpha 2) (PI.f64))
(*.f64 (pow.f64 alpha 2) (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))
(-.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 4) (-.f64 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))))) (-.f64 1 (pow.f64 cosTheta 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (pow.f64 alpha 6))) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 4) (-.f64 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))))) (-.f64 1 (pow.f64 cosTheta 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))))
(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 2))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 4))) (pow.f64 cosTheta 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 4))) (pow.f64 cosTheta 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (*.f64 (pow.f64 (/.f64 1 alpha) 6) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (pow.f64 (pow.f64 cosTheta 2) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (+.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))) (-.f64 (pow.f64 alpha 2) 1))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (log.f64 alpha) 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))) 2) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 cosTheta 4))) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (+.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))) (-.f64 (pow.f64 alpha 2) 1))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (log.f64 alpha) 2))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))) 2) (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 cosTheta 4))) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 alpha) (PI.f64)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (pow.f64 cosTheta 6) (*.f64 (pow.f64 (+.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))) 2) (-.f64 (pow.f64 alpha 2) 1)))) (*.f64 (pow.f64 (pow.f64 (log.f64 alpha) 2) 2) (pow.f64 (pow.f64 (PI.f64) 2) 2)))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (+.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))) (-.f64 (pow.f64 alpha 2) 1))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (log.f64 alpha) 2)))))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 alpha (*.f64 alpha (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha 2) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 2)) (cbrt.f64 (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 alpha (PI.f64)) alpha)
(*.f64 (cbrt.f64 (pow.f64 alpha 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 alpha 2) 2)) (PI.f64)))
(*.f64 (cbrt.f64 alpha) (*.f64 (cbrt.f64 (pow.f64 alpha 2)) (*.f64 alpha (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (pow.f64 alpha 2)))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 alpha 2))) (cbrt.f64 (pow.f64 (pow.f64 alpha 2) 2)))
(*.f64 (*.f64 (pow.f64 alpha 2) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 alpha 2) (PI.f64))
(*.f64 (PI.f64) (pow.f64 alpha 2))
(*.f64 -1 (neg.f64 (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 1 (*.f64 (pow.f64 alpha 2) (PI.f64)))
(*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 1)
(/.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 alpha 2) (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 3) 1/3)
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(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1))))) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))) 0) (/.f64 1 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))) -1)) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))))
(+.f64 (*.f64 (pow.f64 alpha 2) (/.f64 1/2 (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1))))))) (neg.f64 (/.f64 1/2 (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1))))))))
(+.f64 (neg.f64 (/.f64 1/2 (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1))))))) (*.f64 (pow.f64 alpha 2) (/.f64 1/2 (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1))))))))
(+.f64 (*.f64 (/.f64 1/2 (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))) (pow.f64 alpha 2)) (*.f64 (/.f64 1/2 (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))) -1))
(+.f64 (*.f64 (/.f64 1/2 (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))) -1) (*.f64 (/.f64 1/2 (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (fma.f64 cosTheta cosTheta -1)))))) (pow.f64 alpha 2)))
(*.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))))
(*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 cosTheta 2)) 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))
(*.f64 cosTheta (*.f64 (*.f64 cosTheta (log.f64 alpha)) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 cosTheta (*.f64 cosTheta (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))
(*.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (PI.f64)) (pow.f64 alpha 2))
(*.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (pow.f64 cosTheta 2))
(*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (pow.f64 alpha 2) (PI.f64)))
(*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 2)) (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) 2)) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 2)) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))))
(*.f64 alpha (*.f64 (*.f64 alpha (PI.f64)) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))))
(*.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) cosTheta) (*.f64 cosTheta (log.f64 alpha)))
(*.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) 2)))
(*.f64 (*.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (cbrt.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 2)))
(*.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) alpha) (*.f64 alpha (PI.f64)))
(*.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (PI.f64))
(*.f64 (PI.f64) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (pow.f64 cosTheta 2)) (log.f64 alpha))
(*.f64 -1 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (pow.f64 cosTheta 2))) (log.f64 alpha)))
(*.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))
(*.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)
(/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 3))
(neg.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (pow.f64 cosTheta 2))) (log.f64 alpha)))
(if (!=.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 0) (/.f64 1 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))) (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))
Outputs
(*.f64 (pow.f64 alpha 2) (PI.f64))
(*.f64 (pow.f64 alpha 2) (PI.f64))
(*.f64 (pow.f64 alpha 2) (PI.f64))
(*.f64 (pow.f64 alpha 2) (PI.f64))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(*.f64 (log.f64 alpha) (neg.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(*.f64 (log.f64 alpha) (neg.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(*.f64 (log.f64 alpha) (neg.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(-.f64 (*.f64 (PI.f64) (log.f64 alpha)) (*.f64 (log.f64 alpha) (*.f64 (PI.f64) (pow.f64 (pow.f64 cosTheta -1) -2))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(-.f64 (*.f64 (PI.f64) (log.f64 alpha)) (*.f64 (log.f64 alpha) (*.f64 (PI.f64) (pow.f64 (pow.f64 cosTheta -1) -2))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(-.f64 (*.f64 (PI.f64) (log.f64 alpha)) (*.f64 (log.f64 alpha) (*.f64 (PI.f64) (pow.f64 (pow.f64 cosTheta -1) -2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (log.f64 alpha)) (+.f64 (neg.f64 (pow.f64 (/.f64 -1 cosTheta) -2)) 1))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (log.f64 alpha)) (+.f64 (neg.f64 (pow.f64 (/.f64 -1 cosTheta) -2)) 1))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (log.f64 alpha) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (log.f64 alpha)) (+.f64 (neg.f64 (pow.f64 (/.f64 -1 cosTheta) -2)) 1))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))
(/.f64 1/2 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha))))
(-.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))))
(fma.f64 1/2 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))) (/.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (log.f64 alpha) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (PI.f64))))) (/.f64 1/2 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 4) (-.f64 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))))) (-.f64 1 (pow.f64 cosTheta 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))))
(fma.f64 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))) (/.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (log.f64 alpha) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (PI.f64))))) 1/2 (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 4)) (+.f64 (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))) (/.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (log.f64 alpha) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (PI.f64))))) (-.f64 1 (pow.f64 cosTheta 2))) (/.f64 1/2 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (pow.f64 alpha 6))) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 4) (-.f64 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64)))) (*.f64 -1 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))))))) (-.f64 1 (pow.f64 cosTheta 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))))
(+.f64 (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))) (/.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (log.f64 alpha) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (PI.f64)))) (*.f64 (pow.f64 cosTheta 4) (pow.f64 alpha 6))) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))) (/.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (log.f64 alpha) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (PI.f64))))))) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 4)) (+.f64 (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))) (/.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (log.f64 alpha) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (PI.f64))))) (-.f64 1 (pow.f64 cosTheta 2))) (/.f64 1/2 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha))))))
(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 1/2 (*.f64 (*.f64 (PI.f64) (pow.f64 cosTheta 2)) (log.f64 alpha)))
(-.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 -1 (/.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))) (pow.f64 (/.f64 1 alpha) 2))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(fma.f64 1/2 (*.f64 (+.f64 (/.f64 -1 (*.f64 (*.f64 (PI.f64) (pow.f64 cosTheta 2)) (log.f64 alpha))) (/.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (pow.f64 cosTheta 4) (*.f64 (PI.f64) (log.f64 alpha))))) (pow.f64 (pow.f64 alpha -1) 2)) (/.f64 1/2 (*.f64 (*.f64 (PI.f64) (pow.f64 cosTheta 2)) (log.f64 alpha))))
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(*.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))))
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(*.f64 (cbrt.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 cosTheta 2)) 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 cosTheta (*.f64 (*.f64 cosTheta (log.f64 alpha)) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 cosTheta (*.f64 cosTheta (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (PI.f64)) (pow.f64 alpha 2))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))) (pow.f64 cosTheta 2))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (pow.f64 alpha 2) (PI.f64)))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 2)))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 2)) (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) 2)) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (pow.f64 cosTheta 4) (pow.f64 (log.f64 alpha) 2)))) (*.f64 (pow.f64 alpha 2) (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha 2) (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 2)) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 alpha (*.f64 (*.f64 alpha (PI.f64)) (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) cosTheta) (*.f64 cosTheta (log.f64 alpha)))
(*.f64 (*.f64 (*.f64 cosTheta (*.f64 (pow.f64 alpha 2) (PI.f64))) cosTheta) (log.f64 alpha))
(*.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) 2)))
(*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (pow.f64 cosTheta 4) (pow.f64 (log.f64 alpha) 2)))))
(*.f64 (*.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (cbrt.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) 2)))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) alpha) (*.f64 alpha (PI.f64)))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (PI.f64))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (PI.f64) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (pow.f64 cosTheta 2)) (log.f64 alpha))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 -1 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (pow.f64 cosTheta 2))) (log.f64 alpha)))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(*.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(/.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64))))) 3)
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(pow.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 3) 1/3)
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 1)
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 3))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(neg.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (pow.f64 cosTheta 2))) (log.f64 alpha)))
(*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64))))
(if (!=.f64 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 0) (/.f64 1 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))) (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))))
(if (!=.f64 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64)))) 0) (/.f64 1 (/.f64 (pow.f64 (pow.f64 cosTheta 2) -1) (*.f64 (*.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha)))) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 alpha 2) (PI.f64)))))

localize23.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta)))
0.3b
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
0.3b
(*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64))
Compiler

Compiled 47 to 22 computations (53.2% saved)

series60.0ms (0%)

Counts
2 → 29
Calls

12 calls:

TimeVariablePointExpression
2.0ms
alpha
@-inf
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
2.0ms
alpha
@0
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
1.0ms
alpha
@inf
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
1.0ms
cosTheta
@0
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
1.0ms
cosTheta
@inf
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
Compiler

Compiled 4020 to 2680 computations (33.3% saved)

rewrite2.1s (1.5%)

Algorithm
batch-egg-rewrite
Rules
143×egg-rr
57×egg-rr
Counts
2 → 200
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
(*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta)))
Outputs
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simplify4.3s (3%)

Algorithm
egglog
Counts
229 → 298
Calls
Call 1
Inputs
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Outputs
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(/.f64 -1/2 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (/.f64 1/2 (log.f64 alpha)) (*.f64 (fma.f64 cosTheta cosTheta -1) (PI.f64)))
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(/.f64 (/.f64 1/2 (log.f64 alpha)) (*.f64 (fma.f64 cosTheta cosTheta -1) (PI.f64)))
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(if (!=.f64 (log.f64 alpha) 0) (/.f64 (-.f64 1 (pow.f64 (pow.f64 cosTheta 3) 2)) (/.f64 (-.f64 (*.f64 cosTheta (+.f64 (pow.f64 cosTheta 3) cosTheta)) -1) (log.f64 alpha))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
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(if (!=.f64 (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))) 0) (/.f64 1 (/.f64 (/.f64 -1 (fma.f64 cosTheta cosTheta -1)) (log.f64 alpha))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
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(if (!=.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 0) (/.f64 (+.f64 (pow.f64 (log.f64 alpha) 3) (pow.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 3)) (+.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 2) (-.f64 (pow.f64 (log.f64 alpha) 2) (*.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) (log.f64 alpha))))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
(if (!=.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 0) (/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 cosTheta 3) 2)) (pow.f64 (log.f64 alpha) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 alpha) 2) (pow.f64 cosTheta 4)) (*.f64 (log.f64 alpha) (*.f64 (-.f64 (pow.f64 cosTheta 2) -1) (log.f64 alpha))))) (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))))
(if (!=.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)) 0) (/.f64 (-.f64 0 (pow.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)) 2)) (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
(if (!=.f64 (*.f64 (log.f64 alpha) (fma.f64 cosTheta cosTheta -1)) 0) (/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (fma.f64 cosTheta cosTheta -1)) 2)) (fma.f64 cosTheta cosTheta -1)) (log.f64 alpha)) (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))))
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(if (!=.f64 (*.f64 (log.f64 alpha) (+.f64 (neg.f64 (pow.f64 cosTheta 2)) -1)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 alpha) 2) (*.f64 (pow.f64 (log.f64 alpha) 2) (pow.f64 cosTheta 4))) (*.f64 (-.f64 (pow.f64 cosTheta 2) -1) (log.f64 alpha))) (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))))
(if (!=.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 0) (*.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) (+.f64 1 (/.f64 (log.f64 alpha) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha))))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
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(if (!=.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)) 0) (/.f64 (pow.f64 (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)) 2) (*.f64 0 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)))))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
(if (!=.f64 (*.f64 (log.f64 alpha) (fma.f64 cosTheta cosTheta -1)) 0) (/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (fma.f64 cosTheta cosTheta -1)) 2)) (fma.f64 cosTheta cosTheta -1)) (log.f64 alpha)) (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 2) (-.f64 (pow.f64 (log.f64 alpha) 2) (*.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) (log.f64 alpha)))) 0) (/.f64 (+.f64 (pow.f64 (log.f64 alpha) 3) (pow.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 3)) (+.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 2) (-.f64 (pow.f64 (log.f64 alpha) 2) (*.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) (log.f64 alpha))))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
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(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)) 2) (*.f64 0 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha))))) 0) (/.f64 (pow.f64 (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)) 2) (*.f64 0 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)))))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
(if (!=.f64 (pow.f64 (*.f64 (log.f64 alpha) (fma.f64 cosTheta cosTheta -1)) 2) 0) (/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (fma.f64 cosTheta cosTheta -1)) 2)) (fma.f64 cosTheta cosTheta -1)) (log.f64 alpha)) (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))))
(if (!=.f64 (log.f64 alpha) 0) (/.f64 (+.f64 (pow.f64 (log.f64 alpha) 3) (pow.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 3)) (+.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) 2) (-.f64 (pow.f64 (log.f64 alpha) 2) (*.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) (log.f64 alpha))))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
(if (!=.f64 (log.f64 alpha) 0) (/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 cosTheta 3) 2)) (pow.f64 (log.f64 alpha) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 alpha) 2) (pow.f64 cosTheta 4)) (*.f64 (log.f64 alpha) (*.f64 (-.f64 (pow.f64 cosTheta 2) -1) (log.f64 alpha))))) (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)) 2) (*.f64 0 (*.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 alpha)))))) (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
(if (!=.f64 0 0) (/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (fma.f64 cosTheta cosTheta -1)) 2)) (fma.f64 cosTheta cosTheta -1)) (log.f64 alpha)) (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))))
(+.f64 (log.f64 alpha) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)))
(*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2)))
(+.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (log.f64 alpha)) (log.f64 alpha))
(*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2)))
(+.f64 0 (*.f64 (log.f64 alpha) (neg.f64 (fma.f64 cosTheta cosTheta -1))))
(*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2)))

localize57.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(log.f64 (*.f64 alpha alpha))
0.2b
(*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1))
0.2b
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
0.3b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
Compiler

Compiled 82 to 37 computations (54.9% saved)

series163.0ms (0.1%)

Counts
4 → 48
Calls

18 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
1.0ms
alpha
@inf
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
1.0ms
cosTheta
@inf
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
1.0ms
cosTheta
@0
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
Compiler

Compiled 10520 to 8350 computations (20.6% saved)

rewrite2.2s (1.6%)

Algorithm
batch-egg-rewrite
Rules
122×egg-rr
50×egg-rr
47×egg-rr
13×egg-rr
Counts
4 → 232
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1))
(log.f64 (*.f64 alpha alpha))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)) (cbrt.f64 (log.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (log.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (/.f64 1 (/.f64 1 (log.f64 (pow.f64 alpha 2)))) (log.f64 (pow.f64 alpha 2)))))))

simplify6.7s (4.8%)

Algorithm
egglog
Counts
280 → 344
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
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(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
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(if (!=.f64 (+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 3) (pow.f64 (neg.f64 (pow.f64 cosTheta 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2)))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (pow.f64 cosTheta 2)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) 3) (pow.f64 (neg.f64 (pow.f64 cosTheta 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2)))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (pow.f64 cosTheta 2)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 3) (pow.f64 (neg.f64 (pow.f64 cosTheta 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2)))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 1 0) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(+.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2)))
(+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2)))
(+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))
(+.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))
(+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) 1) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) 1))
(+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 1) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) 1))
(+.f64 (neg.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)))
(+.f64 (*.f64 cosTheta (*.f64 (pow.f64 alpha 2) cosTheta)) (*.f64 cosTheta (neg.f64 cosTheta)))
(+.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) (*.f64 cosTheta (neg.f64 cosTheta)))
(+.f64 (*.f64 1 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2))) (*.f64 1 (neg.f64 (pow.f64 cosTheta 2))))
(+.f64 (*.f64 1 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (*.f64 1 (neg.f64 (pow.f64 cosTheta 2))))
(+.f64 (neg.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)) (cbrt.f64 (log.f64 (pow.f64 alpha 2))))
(*.f64 -1 (neg.f64 (log.f64 (pow.f64 alpha 2))))
(*.f64 1 (log.f64 (pow.f64 alpha 2)))
(*.f64 (log.f64 (pow.f64 alpha 2)) 1)
(log.f64 (pow.f64 alpha 2))
(/.f64 (log.f64 (pow.f64 alpha 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3) 1/3)
(pow.f64 (log.f64 (pow.f64 alpha 2)) 1)
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3))
(neg.f64 (neg.f64 (log.f64 (pow.f64 alpha 2))))
(if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (/.f64 1 (/.f64 1 (log.f64 (pow.f64 alpha 2)))) (log.f64 (pow.f64 alpha 2)))
Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (PI.f64)))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(fma.f64 (*.f64 1/2 (+.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (*.f64 (PI.f64) (-.f64 1 (pow.f64 cosTheta 2)))) (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))))) (pow.f64 alpha 2) (/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (PI.f64))))
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(-.f64 (fma.f64 (*.f64 1/2 (+.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (*.f64 (PI.f64) (-.f64 1 (pow.f64 cosTheta 2)))) (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))))) (pow.f64 alpha 2) (/.f64 (*.f64 (*.f64 (*.f64 1/2 (+.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (*.f64 (PI.f64) (-.f64 1 (pow.f64 cosTheta 2)))) (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))))) (pow.f64 alpha 4)) (neg.f64 (pow.f64 cosTheta 2))) (-.f64 1 (pow.f64 cosTheta 2)))) (/.f64 1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (PI.f64))))
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(fma.f64 (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (pow.f64 cosTheta 2) -1) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) (/.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 cosTheta 4) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))))))) (pow.f64 (pow.f64 alpha -1) 2) (/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))))))
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(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
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(*.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 cosTheta 2))) (cbrt.f64 (pow.f64 (pow.f64 cosTheta 2) 2)))
(*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (pow.f64 cosTheta 2) 3)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(*.f64 -1 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(*.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)) -1)
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(*.f64 1 (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(*.f64 (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)) 1)
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (pow.f64 cosTheta 2)) (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (+.f64 1 (pow.f64 alpha 2))))
(/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1)) (+.f64 (pow.f64 alpha 4) (-.f64 (pow.f64 alpha 2) -1)))
(/.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2))) (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (+.f64 1 (pow.f64 alpha 2))))
(/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1)) (+.f64 (pow.f64 alpha 4) (-.f64 (pow.f64 alpha 2) -1)))
(/.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)) -1)
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(/.f64 (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)) 1)
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(fma.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2) (neg.f64 (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(fma.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2) (neg.f64 (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1))) 3)
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)) 3) 1/3)
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(pow.f64 (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)) 1)
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)) 3))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(neg.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(if (!=.f64 (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)) 0) (/.f64 1 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) -1) (pow.f64 cosTheta 2))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 0) (pow.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) -1) (pow.f64 cosTheta 2)) -1) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
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(if (!=.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 3) (pow.f64 (neg.f64 (pow.f64 cosTheta 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2)))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
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(if (!=.f64 (-.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2))) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2)))) (-.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2)))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) -1)) 0) (/.f64 (-.f64 (pow.f64 cosTheta 4) (*.f64 (pow.f64 cosTheta 4) (pow.f64 alpha 4))) (*.f64 (pow.f64 cosTheta 2) (-.f64 -1 (pow.f64 alpha 2)))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (-.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2)))) (-.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2)))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) -1)) 0) (/.f64 (-.f64 (pow.f64 cosTheta 4) (*.f64 (pow.f64 cosTheta 4) (pow.f64 alpha 4))) (*.f64 (pow.f64 cosTheta 2) (-.f64 -1 (pow.f64 alpha 2)))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) 0) (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (+.f64 1 (/.f64 (neg.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) 0) (*.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) (-.f64 1 (/.f64 (pow.f64 cosTheta 2) (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2)))))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 0) (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (+.f64 1 (/.f64 (neg.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) 0) (*.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) (-.f64 1 (/.f64 (pow.f64 cosTheta 2) (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2)))))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) 3) (pow.f64 (neg.f64 (pow.f64 cosTheta 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2)))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 4) -1) (pow.f64 cosTheta 4)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 4))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) 3) (pow.f64 (pow.f64 cosTheta 2) 3)) (+.f64 (*.f64 (-.f64 (pow.f64 alpha 4) -1) (pow.f64 cosTheta 4)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 4)))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 3) (pow.f64 (neg.f64 (pow.f64 cosTheta 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2)))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (*.f64 (-.f64 (pow.f64 alpha 4) -1) (pow.f64 cosTheta 4)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 4))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) 3) (pow.f64 (pow.f64 cosTheta 2) 3)) (+.f64 (*.f64 (-.f64 (pow.f64 alpha 4) -1) (pow.f64 cosTheta 4)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 4)))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (neg.f64 (pow.f64 cosTheta 2)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) 3) (pow.f64 (neg.f64 (pow.f64 cosTheta 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2)))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (pow.f64 cosTheta 2)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) 3) (pow.f64 (pow.f64 cosTheta 2) 3)) (+.f64 (*.f64 (-.f64 (pow.f64 alpha 4) -1) (pow.f64 cosTheta 4)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 4)))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 (neg.f64 (pow.f64 cosTheta 2)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 3) (pow.f64 (neg.f64 (pow.f64 cosTheta 2)) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (-.f64 (*.f64 (neg.f64 (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2))) (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2)))))) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (pow.f64 cosTheta 2)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) 3) (pow.f64 (pow.f64 cosTheta 2) 3)) (+.f64 (*.f64 (-.f64 (pow.f64 alpha 4) -1) (pow.f64 cosTheta 4)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 4)))) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(if (!=.f64 1 0) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)) (*.f64 (pow.f64 cosTheta 2) (fma.f64 alpha alpha -1)))
(if (!=.f64 1 0) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)))
(+.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) (neg.f64 (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (neg.f64 (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) cosTheta) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 (*.f64 cosTheta (pow.f64 alpha 2)) cosTheta) (*.f64 (neg.f64 cosTheta) cosTheta))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)) 1) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) 1))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) 1) (*.f64 (neg.f64 (pow.f64 cosTheta 2)) 1))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (neg.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 cosTheta (*.f64 (pow.f64 alpha 2) cosTheta)) (*.f64 cosTheta (neg.f64 cosTheta)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 cosTheta (*.f64 cosTheta (pow.f64 alpha 2))) (*.f64 cosTheta (neg.f64 cosTheta)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 1 (*.f64 (pow.f64 alpha 2) (pow.f64 cosTheta 2))) (*.f64 1 (neg.f64 (pow.f64 cosTheta 2))))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (*.f64 1 (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2))) (*.f64 1 (neg.f64 (pow.f64 cosTheta 2))))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(+.f64 (neg.f64 (pow.f64 cosTheta 2)) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)))
(*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)))
(log.f64 (pow.f64 alpha 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2)) (cbrt.f64 (log.f64 (pow.f64 alpha 2))))
(log.f64 (pow.f64 alpha 2))
(*.f64 -1 (neg.f64 (log.f64 (pow.f64 alpha 2))))
(log.f64 (pow.f64 alpha 2))
(*.f64 1 (log.f64 (pow.f64 alpha 2)))
(log.f64 (pow.f64 alpha 2))
(*.f64 (log.f64 (pow.f64 alpha 2)) 1)
(log.f64 (pow.f64 alpha 2))
(log.f64 (pow.f64 alpha 2))
(/.f64 (log.f64 (pow.f64 alpha 2)) 1)
(log.f64 (pow.f64 alpha 2))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 alpha 2))) 3)
(log.f64 (pow.f64 alpha 2))
(pow.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3) 1/3)
(log.f64 (pow.f64 alpha 2))
(pow.f64 (log.f64 (pow.f64 alpha 2)) 1)
(log.f64 (pow.f64 alpha 2))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 3))
(log.f64 (pow.f64 alpha 2))
(neg.f64 (neg.f64 (log.f64 (pow.f64 alpha 2))))
(log.f64 (pow.f64 alpha 2))
(if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (/.f64 1 (/.f64 1 (log.f64 (pow.f64 alpha 2)))) (log.f64 (pow.f64 alpha 2)))
(if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (/.f64 -1 (/.f64 -1 (log.f64 (pow.f64 alpha 2)))) (log.f64 (pow.f64 alpha 2)))

localize120.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64))
0.3b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64)))
0.3b
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha))
0.4b
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha)))
Compiler

Compiled 208 to 98 computations (52.9% saved)

series384.0ms (0.3%)

Counts
4 → 81
Calls

24 calls:

TimeVariablePointExpression
6.0ms
alpha
@inf
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha)))
3.0ms
alpha
@-inf
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha)))
2.0ms
cosTheta
@inf
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha)))
2.0ms
cosTheta
@0
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha)))
1.0ms
alpha
@0
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha)))
Compiler

Compiled 25560 to 19995 computations (21.8% saved)

rewrite2.0s (1.4%)

Algorithm
batch-egg-rewrite
Rules
123×egg-rr
98×egg-rr
69×egg-rr
69×egg-rr
Counts
4 → 359
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha)))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64))
Outputs
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simplify6.6s (4.7%)

Algorithm
egglog
Counts
440 → 547
Calls
Call 1
Inputs
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Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
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(fma.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64))) (/.f64 (*.f64 -1/2 (*.f64 cosTheta cosTheta)) (*.f64 (*.f64 (log.f64 alpha) (pow.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) 2)) (PI.f64)))) (*.f64 alpha alpha) (/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64))))
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(+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (log.f64 (pow.f64 alpha 2))) (neg.f64 (PI.f64)))) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))))
(*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)) (PI.f64) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(+.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (PI.f64)) (neg.f64 (log.f64 (pow.f64 alpha 2))))) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))))
(*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)) (PI.f64) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(+.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (log.f64 (pow.f64 alpha 2))))) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))))
(*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)) (PI.f64) (PI.f64)) (log.f64 (*.f64 alpha alpha)))

localize50.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(log.f64 (pow.f64 alpha -1))
0.2b
(/.f64 (fma.f64 alpha alpha -1) (*.f64 -2 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (pow.f64 (pow.f64 alpha -1) -2)) (-.f64 1 (*.f64 cosTheta cosTheta))))))
0.3b
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
0.5b
(pow.f64 (pow.f64 alpha -1) -2)
Compiler

Compiled 137 to 83 computations (39.4% saved)

series127.0ms (0.1%)

Counts
4 → 32
Calls

15 calls:

TimeVariablePointExpression
7.0ms
alpha
@-inf
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
6.0ms
alpha
@inf
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
6.0ms
alpha
@0
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
3.0ms
cosTheta
@0
(/.f64 (fma.f64 alpha alpha -1) (*.f64 -2 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (pow.f64 (pow.f64 alpha -1) -2)) (-.f64 1 (*.f64 cosTheta cosTheta))))))
2.0ms
alpha
@-inf
(/.f64 (fma.f64 alpha alpha -1) (*.f64 -2 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (pow.f64 (pow.f64 alpha -1) -2)) (-.f64 1 (*.f64 cosTheta cosTheta))))))
Compiler

Compiled 9825 to 7705 computations (21.6% saved)

rewrite1.6s (1.1%)

Algorithm
batch-egg-rewrite
Rules
102×egg-rr
20×egg-rr
15×egg-rr
15×egg-rr
Counts
4 → 152
Calls
Call 1
Inputs
(pow.f64 (pow.f64 alpha -1) -2)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 -2 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (pow.f64 (pow.f64 alpha -1) -2)) (-.f64 1 (*.f64 cosTheta cosTheta))))))
(log.f64 (pow.f64 alpha -1))
Outputs
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simplify4.0s (2.8%)

Algorithm
egglog
Counts
184 → 214
Calls
Call 1
Inputs
(pow.f64 alpha 2)
(pow.f64 alpha 2)
(pow.f64 alpha 2)
(pow.f64 alpha 2)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (/.f64 -1 alpha) -2)
(pow.f64 (/.f64 -1 alpha) -2)
(pow.f64 (/.f64 -1 alpha) -2)
(pow.f64 (/.f64 -1 alpha) -2)
(/.f64 -1/2 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 4))) (-.f64 1 (pow.f64 cosTheta 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 alpha 6))) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 4))) (-.f64 1 (pow.f64 cosTheta 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))))
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(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -2 (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 2)))
(/.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))) 2)
(/.f64 (*.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) (neg.f64 (fma.f64 alpha alpha -1))) 2)
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))) 2)
(/.f64 (*.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) 1) -2)
(/.f64 (*.f64 1 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))) -2)
(/.f64 (*.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) (fma.f64 alpha alpha -1)) -2)
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))) -2)
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) -2)
(/.f64 (*.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) -2)
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 1)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 3))
(neg.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (*.f64 (-.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2))) 1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) -1))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) 1))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (*.f64 (*.f64 -2 (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) -1/2))) (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))
(if (!=.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 0) (/.f64 1 (pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) -1)) (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))
(+.f64 (neg.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))) (*.f64 (pow.f64 alpha 2) (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))))
(+.f64 (*.f64 (pow.f64 alpha 2) (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))) (neg.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))))
(+.f64 (*.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) -1) (*.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) (pow.f64 alpha 2)))
(+.f64 (*.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) (pow.f64 alpha 2)) (*.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) -1))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 2)) (cbrt.f64 (log.f64 (pow.f64 alpha -1))))
(*.f64 -1 (neg.f64 (log.f64 (pow.f64 alpha -1))))
(*.f64 1 (log.f64 (pow.f64 alpha -1)))
(*.f64 (log.f64 (pow.f64 alpha -1)) 1)
(log.f64 (pow.f64 alpha -1))
(/.f64 (log.f64 (pow.f64 alpha -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 alpha -1))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 3) 1/3)
(pow.f64 (log.f64 (pow.f64 alpha -1)) 1)
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 3))
(neg.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) -1))
(neg.f64 (neg.f64 (log.f64 (pow.f64 alpha -1))))
(neg.f64 (*.f64 1 (neg.f64 (log.f64 (pow.f64 alpha -1)))))
(if (!=.f64 (log.f64 (pow.f64 alpha -1)) 0) (/.f64 1 (pow.f64 (log.f64 (pow.f64 alpha -1)) -1)) (log.f64 (pow.f64 alpha -1)))
Outputs
(pow.f64 alpha 2)
(pow.f64 alpha 2)
(pow.f64 alpha 2)
(pow.f64 alpha 2)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (pow.f64 alpha -1) -2)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (pow.f64 alpha -1) -2)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (pow.f64 alpha -1) -2)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (pow.f64 alpha -1) -2)
(pow.f64 (/.f64 -1 alpha) -2)
(pow.f64 (/.f64 -1 alpha) -2)
(pow.f64 (/.f64 -1 alpha) -2)
(pow.f64 (/.f64 -1 alpha) -2)
(/.f64 -1/2 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 1/2 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha))))
(-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))))
(fma.f64 1/2 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (neg.f64 (*.f64 (PI.f64) (fma.f64 cosTheta cosTheta -1))))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 4))) (-.f64 1 (pow.f64 cosTheta 2))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))))
(-.f64 (fma.f64 1/2 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))))) (/.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (/.f64 (/.f64 1 (log.f64 alpha)) (neg.f64 (*.f64 (PI.f64) (fma.f64 cosTheta cosTheta -1))))) (*.f64 (pow.f64 alpha 4) (pow.f64 cosTheta 2)))) (-.f64 1 (pow.f64 cosTheta 2)))) (/.f64 1/2 (*.f64 (log.f64 alpha) (neg.f64 (*.f64 (PI.f64) (fma.f64 cosTheta cosTheta -1))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 alpha 6))) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))) (*.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 4))) (-.f64 1 (pow.f64 cosTheta 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))))))
(+.f64 (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 cosTheta 4) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha))))) (pow.f64 alpha 6))) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (/.f64 -1 (*.f64 (fma.f64 cosTheta cosTheta -1) (*.f64 (PI.f64) (log.f64 alpha)))))))) (fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 cosTheta 2) (log.f64 alpha)) (*.f64 (PI.f64) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2))) (/.f64 (/.f64 1 (log.f64 alpha)) (neg.f64 (*.f64 (PI.f64) (fma.f64 cosTheta cosTheta -1))))) (*.f64 (pow.f64 alpha 4) (pow.f64 cosTheta 2))) (-.f64 1 (pow.f64 cosTheta 2))) -1/2 (/.f64 -1/2 (*.f64 (log.f64 alpha) (neg.f64 (*.f64 (PI.f64) (fma.f64 cosTheta cosTheta -1)))))))
(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (/.f64 -1/2 (pow.f64 cosTheta 2)) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(-.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 alpha) 2) (-.f64 (/.f64 (pow.f64 cosTheta 2) (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (/.f64 1 (*.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
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(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 1)
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 3))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (*.f64 (-.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2))) 1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) -1))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) 1))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (*.f64 (*.f64 -2 (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (pow.f64 (/.f64 (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) -1/2) (*.f64 (PI.f64) (fma.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) 1))) (fma.f64 alpha alpha -1)) -1) (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) -1/2))) (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) 1/2))) (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))))
(if (!=.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) 0) (/.f64 1 (pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))) -1)) (/.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (log.f64 (pow.f64 alpha -1))) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))
(if (!=.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))) 0) (pow.f64 (/.f64 -2 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha -1))) (*.f64 (PI.f64) (fma.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) 1)))) -1) (/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))))
(+.f64 (neg.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))) (*.f64 (pow.f64 alpha 2) (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(+.f64 (*.f64 (pow.f64 alpha 2) (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))) (neg.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64)))))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(+.f64 (*.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) -1) (*.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) (pow.f64 alpha 2)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(+.f64 (*.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) (pow.f64 alpha 2)) (*.f64 (/.f64 -1/2 (*.f64 (log.f64 (pow.f64 alpha -1)) (+.f64 (PI.f64) (*.f64 (*.f64 (pow.f64 cosTheta 2) (+.f64 -1 (pow.f64 (pow.f64 alpha -1) -2))) (PI.f64))))) -1))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 1 (pow.f64 (pow.f64 alpha -1) -2)) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 2)))
(log.f64 (pow.f64 alpha -1))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 2)) (cbrt.f64 (log.f64 (pow.f64 alpha -1))))
(log.f64 (pow.f64 alpha -1))
(*.f64 -1 (neg.f64 (log.f64 (pow.f64 alpha -1))))
(log.f64 (pow.f64 alpha -1))
(*.f64 1 (log.f64 (pow.f64 alpha -1)))
(log.f64 (pow.f64 alpha -1))
(*.f64 (log.f64 (pow.f64 alpha -1)) 1)
(log.f64 (pow.f64 alpha -1))
(log.f64 (pow.f64 alpha -1))
(/.f64 (log.f64 (pow.f64 alpha -1)) 1)
(log.f64 (pow.f64 alpha -1))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 alpha -1))) 3)
(log.f64 (pow.f64 alpha -1))
(pow.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 3) 1/3)
(log.f64 (pow.f64 alpha -1))
(pow.f64 (log.f64 (pow.f64 alpha -1)) 1)
(log.f64 (pow.f64 alpha -1))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 3))
(log.f64 (pow.f64 alpha -1))
(neg.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) -1))
(log.f64 (pow.f64 alpha -1))
(neg.f64 (neg.f64 (log.f64 (pow.f64 alpha -1))))
(log.f64 (pow.f64 alpha -1))
(neg.f64 (*.f64 1 (neg.f64 (log.f64 (pow.f64 alpha -1)))))
(log.f64 (pow.f64 alpha -1))
(if (!=.f64 (log.f64 (pow.f64 alpha -1)) 0) (/.f64 1 (pow.f64 (log.f64 (pow.f64 alpha -1)) -1)) (log.f64 (pow.f64 alpha -1)))
(if (!=.f64 (log.f64 (pow.f64 alpha -1)) 0) (pow.f64 (/.f64 1 (log.f64 (pow.f64 alpha -1))) -1) (log.f64 (pow.f64 alpha -1)))

eval1.5s (1%)

Compiler

Compiled 90682 to 56666 computations (37.5% saved)

prune461.0ms (0.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1698111709
Fresh15318
Picked101
Done325
Total1717161733
Error
0b
Counts
1733 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha))) (/.f64 (pow.f64 (/.f64 1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
0.9b
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 alpha 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64))))
0.8b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha 2))) (PI.f64))
0.4b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.8b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
38.9b
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
0.6b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.4b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.5b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
0.5b
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.7b
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (PI.f64) (log.f64 alpha)))
38.9b
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
0.8b
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (-.f64 (*.f64 (*.f64 cosTheta alpha) (*.f64 cosTheta alpha)) (fma.f64 cosTheta cosTheta -1))))) (cbrt.f64 (/.f64 1/2 4)))
0.9b
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha -1))) (/.f64 -1/2 (PI.f64)))
0.7b
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 alpha) (PI.f64))))
0.8b
(*.f64 -1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
Compiler

Compiled 634 to 458 computations (27.8% saved)

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(log.f64 (*.f64 alpha alpha))
0.2b
(*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1))
0.3b
(*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64)))
0.3b
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
Compiler

Compiled 89 to 43 computations (51.7% saved)

series66.0ms (0%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
alpha
@0
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.0ms
alpha
@inf
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.0ms
alpha
@-inf
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.0ms
cosTheta
@0
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.0ms
cosTheta
@inf
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
Compiler

Compiled 8820 to 7010 computations (20.5% saved)

rewrite1.6s (1.2%)

Algorithm
batch-egg-rewrite
Rules
119×egg-rr
61×egg-rr
Counts
2 → 180
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 (pow.f64 alpha 2) (PI.f64))) (/.f64 -1 (PI.f64)))))))

simplify4.9s (3.5%)

Algorithm
egglog
Counts
204 → 253
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
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(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
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(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)))
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(*.f64 (*.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (fma.f64 alpha alpha -1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1)))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))))
(*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 -1 (PI.f64)))
(*.f64 -1 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(*.f64 1 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(-.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 1 (PI.f64)))
(-.f64 0 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
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(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 alpha alpha -1)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
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(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) -1)
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(fma.f64 (pow.f64 alpha 2) (/.f64 1 (PI.f64)) (/.f64 -1 (PI.f64)))
(fma.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2) (/.f64 -1 (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3))
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(if (!=.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) 0) (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (+.f64 1 (/.f64 (/.f64 -1 (PI.f64)) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
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(if (!=.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (/.f64 -1 (PI.f64))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) 3) (pow.f64 (/.f64 -1 (PI.f64)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (/.f64 -1 (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
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(if (!=.f64 1 0) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(+.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 -1 (PI.f64)))
(+.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (/.f64 -1 (PI.f64)))
(+.f64 (/.f64 -1 (PI.f64)) (/.f64 (pow.f64 alpha 2) (PI.f64)))
(+.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) 1) (/.f64 -1 (PI.f64)))
(+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) 1) (/.f64 -1 (PI.f64)))
(+.f64 (/.f64 -1 (PI.f64)) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)))
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Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (PI.f64)))
(-.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (*.f64 (log.f64 alpha) (*.f64 (pow.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) 2) (PI.f64)))))) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(fma.f64 (*.f64 1/2 (+.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64))) (/.f64 (pow.f64 cosTheta 2) (*.f64 (*.f64 (log.f64 alpha) (pow.f64 (-.f64 1 (pow.f64 cosTheta 2)) 2)) (PI.f64))))) (pow.f64 alpha 2) (/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (PI.f64))))
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(if (!=.f64 (+.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (/.f64 -1 (PI.f64))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) 3) (pow.f64 (/.f64 -1 (PI.f64)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (/.f64 -1 (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 (/.f64 (-.f64 (pow.f64 alpha 4) -1) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (-.f64 (pow.f64 alpha 4) -1) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 (pow.f64 alpha 2) (PI.f64))) (-.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (*.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 -1 (PI.f64))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) 3) (pow.f64 (/.f64 -1 (PI.f64)) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 (pow.f64 alpha 2) (PI.f64))) (-.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (*.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 -1 (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 (/.f64 (-.f64 (pow.f64 alpha 4) -1) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (-.f64 (pow.f64 alpha 4) -1) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) 3) (pow.f64 (/.f64 -1 (PI.f64)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2))) (-.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (/.f64 -1 (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (-.f64 (pow.f64 alpha 4) -1) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) 3) (pow.f64 (/.f64 -1 (PI.f64)) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 (pow.f64 alpha 2) (PI.f64))) (-.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (*.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 -1 (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (-.f64 (pow.f64 alpha 4) -1) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 1 0) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(+.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (/.f64 -1 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) (/.f64 -1 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (/.f64 -1 (PI.f64)) (/.f64 (pow.f64 alpha 2) (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (*.f64 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)) 1) (/.f64 -1 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) 1) (/.f64 -1 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (/.f64 -1 (PI.f64)) (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (*.f64 1 (*.f64 (/.f64 1 (PI.f64)) (pow.f64 alpha 2))) (/.f64 -1 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (*.f64 1 (/.f64 (pow.f64 alpha 2) (PI.f64))) (/.f64 -1 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
0.3b
(*.f64 (log.f64 alpha) (PI.f64))
Compiler

Compiled 17 to 8 computations (52.9% saved)

series13.0ms (0%)

Counts
2 → 4
Calls

6 calls:

TimeVariablePointExpression
1.0ms
alpha
@-inf
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
1.0ms
alpha
@inf
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
1.0ms
alpha
@0
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
0.0ms
alpha
@-inf
(*.f64 (log.f64 alpha) (PI.f64))
0.0ms
alpha
@inf
(*.f64 (log.f64 alpha) (PI.f64))
Compiler

Compiled 815 to 660 computations (19% saved)

rewrite1.7s (1.2%)

Algorithm
batch-egg-rewrite
Rules
170×egg-rr
113×egg-rr
Counts
2 → 283
Calls
Call 1
Inputs
(*.f64 (log.f64 alpha) (PI.f64))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
Outputs
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simplify4.8s (3.4%)

Algorithm
egglog
Counts
287 → 346
Calls
Call 1
Inputs
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(*.f64 -1 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
(*.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) (log.f64 alpha)) 1)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (neg.f64 (log.f64 alpha))))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))) (neg.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) 2)))
(*.f64 (neg.f64 (cbrt.f64 (log.f64 alpha))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (neg.f64 (PI.f64))))
(*.f64 (neg.f64 (cbrt.f64 (log.f64 alpha))) (*.f64 (cbrt.f64 (PI.f64)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))))
(*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (log.f64 alpha))))
(*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (cbrt.f64 (log.f64 alpha)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 0) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 0) (+.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) 0))
(*.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha)) -1)
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 alpha)))
(*.f64 1 (*.f64 (PI.f64) (log.f64 alpha)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (neg.f64 (log.f64 alpha))) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 2)) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 alpha))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) 2)))
(*.f64 (*.f64 (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 2)))
(*.f64 (cbrt.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))))
(*.f64 (cbrt.f64 (log.f64 alpha)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(*.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(*.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (cbrt.f64 (log.f64 alpha)))
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(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha)))
(*.f64 (PI.f64) (log.f64 alpha))
(*.f64 (log.f64 alpha) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 alpha)) (neg.f64 (PI.f64))) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(*.f64 (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
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(/.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 alpha) -1/2))
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(/.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 1/2 (log.f64 alpha)) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2) (/.f64 1/2 (log.f64 alpha)))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (cbrt.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2) 1/2)) (cbrt.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha))))
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (cbrt.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha))))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -2)
(/.f64 1 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) -1/2))
(/.f64 1 (*.f64 (PI.f64) (/.f64 (log.f64 alpha) -1/2)))
(/.f64 1 (*.f64 (/.f64 (log.f64 alpha) -1/2) (PI.f64)))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 1)
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 (cbrt.f64 (/.f64 1/8 (*.f64 (PI.f64) (log.f64 alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))))
(/.f64 (/.f64 1/2 (PI.f64)) (neg.f64 (log.f64 alpha)))
(/.f64 (cbrt.f64 -1/2) (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (cbrt.f64 1/4)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
(/.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (cbrt.f64 -1/2)) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2) -1/2)) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
(/.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (cbrt.f64 (/.f64 -1/2 (log.f64 alpha)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 -1/2) (/.f64 (cbrt.f64 1/4) (PI.f64))) (log.f64 alpha))
(/.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (cbrt.f64 1/4)) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))) (cbrt.f64 1/4)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) (PI.f64)) (cbrt.f64 1/4)) (log.f64 alpha))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2) (/.f64 -1/2 (PI.f64)))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 (PI.f64)) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2) (/.f64 -1/2 (log.f64 alpha)))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 -1/2 (log.f64 alpha)) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 1/2 (log.f64 alpha)) (neg.f64 (PI.f64)))
(/.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) 1/2))
(/.f64 1/2 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha)))
(/.f64 (/.f64 (/.f64 -1 (log.f64 alpha)) (PI.f64)) 2)
(/.f64 (+.f64 0 (/.f64 (/.f64 -1 (log.f64 alpha)) (PI.f64))) 2)
(/.f64 (+.f64 0 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) -2)
(/.f64 (-.f64 27 (pow.f64 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))) 3)) (+.f64 9 (+.f64 (*.f64 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))) (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))) (*.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))) (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))) (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))))
(/.f64 -1/2 (*.f64 (PI.f64) (log.f64 alpha)))
(/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (*.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha)) (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) 1/2)))
(/.f64 (cbrt.f64 1/4) (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (cbrt.f64 -1/2)))
(/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
(/.f64 (-.f64 0 (*.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha)) -1/2)) (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha)) 1/2)) (neg.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))
(/.f64 (cbrt.f64 1/2) (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (cbrt.f64 -1/4)))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (PI.f64))) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) 2))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2) (cbrt.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) 2))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))) (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (/.f64 -1/8 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (/.f64 -1/2 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 2)))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(fma.f64 0 -1/2 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(fma.f64 0 0 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(fma.f64 0 3 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(fma.f64 0 1 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(fma.f64 1 0 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))) 3)
(pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 1)
(pow.f64 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) -1/2) -1)
(pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 alpha) -1/2)) -1)
(pow.f64 (*.f64 (/.f64 (log.f64 alpha) -1/2) (PI.f64)) -1)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3))
(neg.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))
(neg.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))) -1) 3))
(neg.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) -1/2))) 3))
(if (!=.f64 -1/2 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 1/4) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 (log.f64 alpha)) 2)) 0) (/.f64 (cbrt.f64 (/.f64 -1/2 (log.f64 alpha))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 -1/2 (log.f64 alpha)) 2)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (log.f64 alpha) 2))) 0) (/.f64 (cbrt.f64 (/.f64 -1/2 (log.f64 alpha))) (/.f64 (PI.f64) (cbrt.f64 (/.f64 1/4 (pow.f64 (log.f64 alpha) 2))))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 -1/2 (log.f64 alpha)) 0) (pow.f64 (/.f64 (PI.f64) (/.f64 -1/2 (log.f64 alpha))) -1) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 1 (log.f64 alpha)) 0) (/.f64 -1/2 (/.f64 (PI.f64) (/.f64 1 (log.f64 alpha)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) 0) (/.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 (PI.f64) (/.f64 -1/2 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (cbrt.f64 1/4) (log.f64 alpha)) 0) (/.f64 (cbrt.f64 -1/2) (/.f64 (PI.f64) (/.f64 (cbrt.f64 1/4) (log.f64 alpha)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 -1/2) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/2)) (/.f64 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/4)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 1/2 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 -1/4) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (sqrt.f64 1/2) 0) (/.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha)) (sqrt.f64 1/2))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 1/4) 0) (*.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 (PI.f64) (log.f64 alpha))) (cbrt.f64 1/4)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) -1/2) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 0) (pow.f64 (/.f64 1 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))) -1) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2) 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 1 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)) 0) (/.f64 (/.f64 -1/4 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(+.f64 0 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
Outputs
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
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(/.f64 (/.f64 (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))) (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2))) (PI.f64))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (/.f64 -1/8 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2))) (PI.f64))
(/.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (/.f64 -1/2 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 2)))
(cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 2)))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(fma.f64 0 -1/2 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(fma.f64 0 0 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(fma.f64 0 3 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(fma.f64 0 1 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(fma.f64 1 0 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))) 3)
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 1)
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(pow.f64 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) -1/2) -1)
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 alpha) -1/2)) -1)
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(pow.f64 (*.f64 (/.f64 (log.f64 alpha) -1/2) (PI.f64)) -1)
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(pow.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3) 1/3)
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(neg.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(neg.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))) -1) 3))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(neg.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) -1/2))) 3))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(if (!=.f64 -1/2 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 -1/2 0) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 1/4) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 1/4) 0) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 (log.f64 alpha)) 2)) 0) (/.f64 (cbrt.f64 (/.f64 -1/2 (log.f64 alpha))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 -1/2 (log.f64 alpha)) 2)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 (log.f64 alpha)) 2)) 0) (/.f64 (cbrt.f64 (/.f64 -1/2 (log.f64 alpha))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 -1/2 (log.f64 alpha)) 2)))) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (log.f64 alpha) 2))) 0) (/.f64 (cbrt.f64 (/.f64 -1/2 (log.f64 alpha))) (/.f64 (PI.f64) (cbrt.f64 (/.f64 1/4 (pow.f64 (log.f64 alpha) 2))))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (log.f64 alpha) 2))) 0) (/.f64 (cbrt.f64 (/.f64 -1/2 (log.f64 alpha))) (/.f64 (PI.f64) (cbrt.f64 (/.f64 1/4 (pow.f64 (log.f64 alpha) 2))))) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (/.f64 -1/2 (log.f64 alpha)) 0) (pow.f64 (/.f64 (PI.f64) (/.f64 -1/2 (log.f64 alpha))) -1) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 -1/2 (log.f64 alpha)) 0) (pow.f64 (/.f64 (PI.f64) (/.f64 -1/2 (log.f64 alpha))) -1) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (/.f64 1 (log.f64 alpha)) 0) (/.f64 -1/2 (/.f64 (PI.f64) (/.f64 1 (log.f64 alpha)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 1 (log.f64 alpha)) 0) (/.f64 1/2 (/.f64 (PI.f64) (/.f64 -1 (log.f64 alpha)))) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) 0) (/.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 (PI.f64) (/.f64 -1/2 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) 0) (/.f64 (/.f64 -1 (cbrt.f64 (log.f64 alpha))) (/.f64 (PI.f64) (/.f64 1/2 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (/.f64 (cbrt.f64 1/4) (log.f64 alpha)) 0) (/.f64 (cbrt.f64 -1/2) (/.f64 (PI.f64) (/.f64 (cbrt.f64 1/4) (log.f64 alpha)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (cbrt.f64 1/4) (log.f64 alpha)) 0) (/.f64 (cbrt.f64 -1/2) (/.f64 (PI.f64) (/.f64 (cbrt.f64 1/4) (log.f64 alpha)))) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 -1/2) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 -1/2) 0) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/2)) (/.f64 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/4)))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/4)) 0) (/.f64 (cbrt.f64 (cbrt.f64 -1/2)) (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (cbrt.f64 (*.f64 (cbrt.f64 1/4) 1/4)))) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 1/2 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 1/2 0) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 -1/4) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 -1/4) 0) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (sqrt.f64 1/2) 0) (/.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (neg.f64 (PI.f64)) (log.f64 alpha)) (sqrt.f64 1/2))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (sqrt.f64 1/2) 0) (/.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (log.f64 alpha) (neg.f64 (PI.f64))) (sqrt.f64 1/2))) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 1/4) 0) (*.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 (PI.f64) (log.f64 alpha))) (cbrt.f64 1/4)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 1/4) 0) (/.f64 (/.f64 (cbrt.f64 (*.f64 -1/2 1/4)) (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) -1/2) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (*.f64 (PI.f64) (/.f64 (log.f64 alpha) -1/2)) 0) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 0) (pow.f64 (/.f64 1 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))) -1) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) 0) (pow.f64 (/.f64 -1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))) -1) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) 2)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2) 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (pow.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) 2) 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) 2)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 1 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 1 0) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)) 0) (/.f64 (/.f64 -1/4 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)) 0) (/.f64 -1/4 (*.f64 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)) (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) 3) (pow.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)) 2)) (/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha)))
(+.f64 0 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))

localize29.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (PI.f64) (log.f64 alpha)))
0.3b
(*.f64 (PI.f64) (log.f64 alpha))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series28.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
alpha
@-inf
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (PI.f64) (log.f64 alpha)))
1.0ms
alpha
@0
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (PI.f64) (log.f64 alpha)))
1.0ms
alpha
@inf
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (PI.f64) (log.f64 alpha)))
0.0ms
alpha
@inf
(*.f64 (PI.f64) (log.f64 alpha))
0.0ms
alpha
@-inf
(*.f64 (PI.f64) (log.f64 alpha))
Compiler

Compiled 1855 to 1375 computations (25.9% saved)

rewrite1.9s (1.4%)

Algorithm
batch-egg-rewrite
Rules
201×egg-rr
92×egg-rr
Counts
2 → 293
Calls
Call 1
Inputs
(*.f64 (PI.f64) (log.f64 alpha))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (PI.f64) (log.f64 alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (log.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 alpha) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 alpha)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) (cbrt.f64 (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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-1/2) (*.f64 (PI.f64) (log.f64 alpha))))))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (pow.f64 alpha 2)) (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (*.f64 -1/2 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (*.f64 1/2 (pow.f64 alpha 2))) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (*.f64 (*.f64 1/2 (pow.f64 alpha 2)) (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -1/2) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (*.f64 1/2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))))))

simplify5.1s (3.6%)

Algorithm
egglog
Counts
301 → 357
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(*.f64 (PI.f64) (log.f64 alpha))
(*.f64 (log.f64 alpha) (PI.f64))
(*.f64 (cbrt.f64 (log.f64 alpha)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha)))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(*.f64 (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) (cbrt.f64 (log.f64 alpha)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 alpha)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))))
(*.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (*.f64 0 (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))))) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (+.f64 0 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) 0))) (-.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) 0))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 0)) (+.f64 0 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))))
(*.f64 1 (*.f64 (PI.f64) (log.f64 alpha)))
(*.f64 -1 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))
(*.f64 -1 (-.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) 0))
(*.f64 (*.f64 (PI.f64) (log.f64 alpha)) 1)
(*.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) -1)
(-.f64 (/.f64 0 -1) (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))
(-.f64 3 (+.f64 3 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))))
(-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha))))
(-.f64 1 (+.f64 1 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))))
(-.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))
(-.f64 1 (-.f64 1 (*.f64 (PI.f64) (log.f64 alpha))))
(-.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0)
(/.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) -1)
(/.f64 (-.f64 (*.f64 0 -1) (*.f64 -1/2 (*.f64 (PI.f64) (log.f64 alpha)))) 1/2)
(/.f64 (-.f64 0 (*.f64 -1/2 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))) -1/2)
(/.f64 (-.f64 (*.f64 0 -1) (*.f64 (PI.f64) (log.f64 alpha))) -1)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (log.f64 alpha)) -1/2) 0) -1/2)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) -1/2) 0) 1/2)
(/.f64 (-.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) 0) -1)
(/.f64 (+.f64 0 (*.f64 -1/2 (*.f64 (PI.f64) (log.f64 alpha)))) -1/2)
(/.f64 (+.f64 (*.f64 0 -1) (*.f64 -1/2 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))) 1/2)
(/.f64 (+.f64 (*.f64 0 -1) (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) -1)
(/.f64 (*.f64 (PI.f64) (log.f64 alpha)) 1)
(fma.f64 0 0 (*.f64 (PI.f64) (log.f64 alpha)))
(fma.f64 0 3 (*.f64 (PI.f64) (log.f64 alpha)))
(fma.f64 0 1 (*.f64 (PI.f64) (log.f64 alpha)))
(fma.f64 -1 0 (*.f64 (PI.f64) (log.f64 alpha)))
(fma.f64 1 0 (*.f64 (PI.f64) (log.f64 alpha)))
(fma.f64 (log.f64 alpha) (PI.f64) 0)
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) 0)
(fma.f64 (*.f64 (PI.f64) (log.f64 alpha)) 1 0)
(fma.f64 (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))) 0)
(fma.f64 (PI.f64) (log.f64 alpha) 0)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) (cbrt.f64 (log.f64 alpha)) 0)
(fma.f64 -1 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) (cbrt.f64 (PI.f64)) 0)
(fma.f64 1 (*.f64 (PI.f64) (log.f64 alpha)) 0)
(fma.f64 (cbrt.f64 (log.f64 alpha)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) 0)
(fma.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (PI.f64)) 0)
(fma.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) -1 0)
(fma.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 alpha)) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) 0)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 1)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3))
(neg.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))
(neg.f64 (-.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) 0))
(if (!=.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0) (/.f64 1 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 1 0) (*.f64 (PI.f64) (log.f64 alpha)) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 0 0) (/.f64 (+.f64 0 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3)) (+.f64 0 (-.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) 0))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) 0) (/.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2)) (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) 0) (*.f64 (PI.f64) (log.f64 alpha))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))) 0) (/.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) (*.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 0 0) (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3) 0) (+.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) (+.f64 0 (*.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0)))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) 0)) 0) (/.f64 (+.f64 0 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3)) (+.f64 0 (-.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) 0))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) (*.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))))) 0) (/.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) (*.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) (+.f64 0 (*.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3) 0) (+.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) (+.f64 0 (*.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0)))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0) (/.f64 (+.f64 0 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3)) (+.f64 0 (-.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) 0))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) (*.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))))) (*.f64 (PI.f64) (log.f64 alpha)))
(if (!=.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3) 0) (+.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2) (+.f64 0 (*.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0)))) (*.f64 (PI.f64) (log.f64 alpha)))
(+.f64 (-.f64 (*.f64 (PI.f64) (log.f64 alpha)) 3) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) (log.f64 alpha)) 1) 1)
(+.f64 0 (*.f64 (PI.f64) (log.f64 alpha)))
(+.f64 (*.f64 (PI.f64) (log.f64 alpha)) 0)
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha)))))
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (log.f64 alpha))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))))
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha))))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (log.f64 alpha)))) (/.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (/.f64 (*.f64 1/2 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))))
(*.f64 (cbrt.f64 (/.f64 1/8 (*.f64 (PI.f64) (log.f64 alpha)))) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 alpha alpha -1))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (fma.f64 alpha alpha -1) 2))) (*.f64 (PI.f64) (log.f64 alpha))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 alpha alpha -1))) (log.f64 alpha)) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (fma.f64 alpha alpha -1) 2))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 alpha alpha -1))) (PI.f64)) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (fma.f64 alpha alpha -1) 2))) (log.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (fma.f64 alpha alpha -1) 2))) (log.f64 alpha)) (/.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 alpha alpha -1))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (fma.f64 alpha alpha -1) 2))) (PI.f64)) (/.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 alpha alpha -1))) (log.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (fma.f64 alpha alpha -1) 2))) (*.f64 (PI.f64) (log.f64 alpha))) (cbrt.f64 (*.f64 1/2 (fma.f64 alpha alpha -1))))
(*.f64 (/.f64 (*.f64 1/2 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 alpha)) 2))) (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))))
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(if (!=.f64 (*.f64 -1/2 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 (pow.f64 alpha 2)) (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) 3) (pow.f64 (*.f64 -1/2 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/2 (pow.f64 alpha 2)) (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (*.f64 (*.f64 1/2 (pow.f64 alpha 2)) (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)))) (-.f64 (*.f64 (*.f64 -1/2 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (*.f64 -1/2 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)))) (*.f64 (*.f64 (*.f64 1/2 (pow.f64 alpha 2)) (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (*.f64 -1/2 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))))))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))
(if (!=.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -1/2) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (*.f64 1/2 (pow.f64 alpha 2))) 3) (pow.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -1/2) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (*.f64 1/2 (pow.f64 alpha 2))) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (*.f64 1/2 (pow.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -1/2) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -1/2)) (*.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (*.f64 1/2 (pow.f64 alpha 2))) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -1/2))))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2) 2) (*.f64 0 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (*.f64 (PI.f64) (log.f64 alpha))))))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))
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Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)
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(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)
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(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)
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(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)
(+.f64 (/.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)
(+.f64 (*.f64 -1/2 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (*.f64 (*.f64 1/2 (pow.f64 alpha 2)) (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)
(+.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) -1/2) (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (*.f64 1/2 (pow.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)
(+.f64 0 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2)

localize48.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (pow.f64 alpha 2) 1)
0.2b
(log.f64 (/.f64 1 alpha))
0.2b
(/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
0.3b
(*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))
Compiler

Compiled 54 to 41 computations (24.1% saved)

series41.0ms (0%)

Counts
4 → 17
Calls

12 calls:

TimeVariablePointExpression
11.0ms
alpha
@-inf
(*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))
1.0ms
alpha
@-inf
(/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
1.0ms
alpha
@0
(/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
1.0ms
alpha
@inf
(/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
0.0ms
alpha
@0
(*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))
Compiler

Compiled 1940 to 1400 computations (27.8% saved)

rewrite1.9s (1.3%)

Algorithm
batch-egg-rewrite
Rules
319×egg-rr
100×egg-rr
56×egg-rr
16×egg-rr
Counts
4 → 491
Calls
Call 1
Inputs
(*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))
(/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(log.f64 (/.f64 1 alpha))
(-.f64 (pow.f64 alpha 2) 1)
Outputs
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simplify7.6s (5.4%)

Algorithm
egglog
Counts
508 → 639
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0))) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0) (fma.f64 alpha alpha -1)) (fma.f64 alpha alpha -1))
(if (!=.f64 (pow.f64 alpha 2) 0) (*.f64 (pow.f64 alpha 2) (+.f64 1 (/.f64 -1 (pow.f64 alpha 2)))) (fma.f64 alpha alpha -1))
(if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (fma.f64 alpha alpha -1) 0))) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (+.f64 1 (/.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))) (fma.f64 alpha alpha -1))
(if (!=.f64 0 0) (/.f64 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) 0) (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (fma.f64 alpha alpha -1) 0)))) (fma.f64 alpha alpha -1))
(if (!=.f64 (neg.f64 (pow.f64 alpha 2)) 0) (fma.f64 alpha alpha -1) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2) (/.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (fma.f64 alpha alpha -1) 0))) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) 0) (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (fma.f64 alpha alpha -1) 0)))) (fma.f64 alpha alpha -1))
(if (!=.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) 0) (fma.f64 alpha alpha -1) (fma.f64 alpha alpha -1))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0))) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) 0) (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (fma.f64 alpha alpha -1) 0)))) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2) (/.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (fma.f64 alpha alpha -1)) (/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0)) 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0))) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2) (/.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2) (/.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))) (fma.f64 alpha alpha -1))
(+.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(+.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (-.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0))
(+.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(+.f64 (pow.f64 alpha 2) -1)
(+.f64 (+.f64 0 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(+.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(+.f64 -1 (pow.f64 alpha 2))
(+.f64 0 (fma.f64 alpha alpha -1))
(+.f64 (fma.f64 alpha alpha -1) 0)
Outputs
(/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (pow.f64 (log.f64 alpha) -1) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (pow.f64 (pow.f64 alpha -1) -2) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha -1) -2) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha -1) -2) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha -1) -2) -1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
-1
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (pow.f64 alpha -1) -2)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(+.f64 (pow.f64 (pow.f64 alpha -1) -2) -1)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(+.f64 (pow.f64 (pow.f64 alpha -1) -2) -1)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(+.f64 (pow.f64 (pow.f64 alpha -1) -2) -1)
(pow.f64 (/.f64 -1 alpha) -2)
(-.f64 (pow.f64 (/.f64 -1 alpha) -2) 1)
(+.f64 (pow.f64 (/.f64 -1 alpha) -2) -1)
(-.f64 (pow.f64 (/.f64 -1 alpha) -2) 1)
(+.f64 (pow.f64 (/.f64 -1 alpha) -2) -1)
(-.f64 (pow.f64 (/.f64 -1 alpha) -2) 1)
(+.f64 (pow.f64 (/.f64 -1 alpha) -2) -1)
(*.f64 (cbrt.f64 (log.f64 (pow.f64 alpha -1))) (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 2))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (log.f64 (pow.f64 alpha -1)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 (pow.f64 alpha -1)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 2)))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 2))) (cbrt.f64 (log.f64 (pow.f64 alpha -1))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (pow.f64 alpha -1)) (cbrt.f64 (PI.f64))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha -1)) 2)) (*.f64 (PI.f64) (cbrt.f64 (log.f64 (pow.f64 alpha -1)))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 (pow.f64 alpha -1))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2)))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (neg.f64 (log.f64 (pow.f64 alpha -1))) (neg.f64 (PI.f64)))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64))) 3)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2)) (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 1 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 1)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2)) (*.f64 0 (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64))))))) (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2)) (+.f64 0 (*.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))) 0))) (-.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))) 0))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2)) 0)) (+.f64 0 (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64))) -1)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(*.f64 -1 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(-.f64 0 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(-.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 0)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 1)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64))) -1)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))) 3)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 3) 1/3)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 1)
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 3))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(neg.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64))))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
(neg.f64 (-.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (neg.f64 (PI.f64))) 0))
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
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(if (!=.f64 (+.f64 (*.f64 (/.f64 -1 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1)) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1))) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1)) 2)) 0) (/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 alpha 3) 2) 3) -1) (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1) 3)) (+.f64 (*.f64 (/.f64 -1 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1)) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1))) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1)) 2))) (fma.f64 alpha alpha -1))
(+.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1))
(+.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (-.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1))
(+.f64 (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1))
(+.f64 (pow.f64 alpha 2) -1)
(fma.f64 alpha alpha -1)
(+.f64 (+.f64 0 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1))
(+.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (/.f64 -1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) 1))
(+.f64 -1 (pow.f64 alpha 2))
(fma.f64 alpha alpha -1)
(+.f64 0 (fma.f64 alpha alpha -1))
(fma.f64 alpha alpha -1)
(+.f64 (fma.f64 alpha alpha -1) 0)
(fma.f64 alpha alpha -1)

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.3b
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64))
0.5b
(cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3))
0.7b
(pow.f64 (log.f64 (*.f64 alpha alpha)) 3)
Compiler

Compiled 116 to 56 computations (51.7% saved)

series300.0ms (0.2%)

Counts
4 → 16
Calls

15 calls:

TimeVariablePointExpression
5.0ms
alpha
@inf
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
3.0ms
alpha
@-inf
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
3.0ms
alpha
@0
(cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3))
3.0ms
alpha
@0
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
3.0ms
alpha
@inf
(cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3))
Compiler

Compiled 16015 to 13100 computations (18.2% saved)

rewrite1.8s (1.3%)

Algorithm
batch-egg-rewrite
Rules
204×egg-rr
17×egg-rr
14×egg-rr
14×egg-rr
Counts
4 → 249
Calls
Call 1
Inputs
(pow.f64 (log.f64 (*.f64 alpha alpha)) 3)
(cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
Outputs
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simplify5.0s (3.5%)

Algorithm
egglog
Counts
265 → 334
Calls
Call 1
Inputs
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(if (!=.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 0) (*.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) (+.f64 1 (/.f64 (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))))))) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
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(if (!=.f64 (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 3) (pow.f64 (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 2) (-.f64 (*.f64 (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))))) (*.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))))) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(if (!=.f64 (-.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2) (fma.f64 alpha alpha -1))) -1) 0) (*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha 2))) (+.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3) (PI.f64)))) (-.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2) (fma.f64 alpha alpha -1))) -1)) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(if (!=.f64 (-.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2) (fma.f64 alpha alpha -1))) -1) 0) (*.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3)))) (-.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2) (fma.f64 alpha alpha -1))) -1)) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(if (!=.f64 (+.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (fma.f64 alpha alpha -1) (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2))) -1) 0) (*.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha 2))) (PI.f64)) (+.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3)) -1)) (+.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (fma.f64 alpha alpha -1) (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2))) -1)) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 1) (*.f64 (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 1))
(+.f64 (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(+.f64 (*.f64 (/.f64 (/.f64 1 (log.f64 (pow.f64 alpha 2))) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))) -1) (*.f64 (/.f64 (/.f64 1 (log.f64 (pow.f64 alpha 2))) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))) (pow.f64 alpha 2)))
(+.f64 (*.f64 (/.f64 (/.f64 1 (log.f64 (pow.f64 alpha 2))) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))) (pow.f64 alpha 2)) (*.f64 (/.f64 (/.f64 1 (log.f64 (pow.f64 alpha 2))) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))) -1))
Outputs
(/.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (pow.f64 (*.f64 (log.f64 alpha) (pow.f64 (log.f64 alpha) 2)) 1/3) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (log.f64 alpha) 3))) (-.f64 1 (pow.f64 cosTheta 2))))
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(if (!=.f64 (-.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2) (fma.f64 alpha alpha -1))) -1) 0) (*.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3)))) (-.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2) (fma.f64 alpha alpha -1))) -1)) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(if (!=.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2) (fma.f64 alpha alpha -1)) 1) 0) (/.f64 (*.f64 (fma.f64 alpha alpha -1) (fma.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2) (fma.f64 alpha alpha -1)) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (+.f64 (PI.f64) (*.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3) (PI.f64))))) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(if (!=.f64 (+.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (fma.f64 alpha alpha -1) (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2))) -1) 0) (*.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha 2))) (PI.f64)) (+.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3)) -1)) (+.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (fma.f64 alpha alpha -1) (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2))) -1)) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(if (!=.f64 (fma.f64 (pow.f64 cosTheta 2) (-.f64 (fma.f64 alpha alpha -1) (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2)) -1) 0) (*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (-.f64 -1 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) 3))) (fma.f64 (pow.f64 cosTheta 2) (-.f64 (fma.f64 alpha alpha -1) (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2)) -1)) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))))
(+.f64 (*.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 1) (*.f64 (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) 1))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))))
(+.f64 (/.f64 -1 (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))))
(+.f64 (*.f64 (/.f64 (/.f64 1 (log.f64 (pow.f64 alpha 2))) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))) -1) (*.f64 (/.f64 (/.f64 1 (log.f64 (pow.f64 alpha 2))) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))) (pow.f64 alpha 2)))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))))
(+.f64 (*.f64 (/.f64 (/.f64 1 (log.f64 (pow.f64 alpha 2))) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))) (pow.f64 alpha 2)) (*.f64 (/.f64 (/.f64 1 (log.f64 (pow.f64 alpha 2))) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))) -1))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (pow.f64 alpha 2)) (fma.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2)) (PI.f64))))

eval1.4s (1%)

Compiler

Compiled 71108 to 48157 computations (32.3% saved)

prune657.0ms (0.5%)

Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New2001202021
Fresh549
Picked011
Done336
Total2009282037
Error
0b
Counts
2037 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (*.f64 (*.f64 (PI.f64) 2) (/.f64 (log.f64 alpha) (fma.f64 alpha alpha -1)))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2))
0.7b
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1/2 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2))
1.9b
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2)) 3)
0.7b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (*.f64 (PI.f64) 2))
0.4b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.8b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
38.9b
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
38.9b
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
0.6b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.4b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.5b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
0.8b
(/.f64 (*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
38.9b
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
38.9b
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha)))))
38.9b
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
38.9b
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
38.9b
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
2.5b
(-.f64 1 (+.f64 1 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (*.f64 (PI.f64) (log.f64 alpha)))))
0.8b
(*.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))
0.8b
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (-.f64 (*.f64 (*.f64 cosTheta alpha) (*.f64 cosTheta alpha)) (fma.f64 cosTheta cosTheta -1))))) (cbrt.f64 (/.f64 1/2 4)))
0.8b
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1/2 (log.f64 alpha)))
1.0b
(*.f64 -1/2 (if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))))
0.9b
(*.f64 -1/2 (/.f64 (if (!=.f64 (-.f64 1 (*.f64 alpha alpha)) 0) (/.f64 1 (pow.f64 (fma.f64 alpha alpha -1) -1)) (fma.f64 alpha alpha -1)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
0.9b
(*.f64 -1/2 (/.f64 (if (!=.f64 (*.f64 alpha alpha) 0) (*.f64 (*.f64 alpha alpha) (+.f64 1 (/.f64 -1 (*.f64 alpha alpha)))) (fma.f64 alpha alpha -1)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
0.8b
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 (pow.f64 alpha 2) 1/2) 1/2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
0.7b
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
1.0b
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 -1 alpha) (-.f64 1 alpha)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
0.9b
(*.f64 -1/2 (*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (pow.f64 alpha -1)))))
Compiler

Compiled 969 to 736 computations (24% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (*.f64 alpha alpha) 1)
0.1b
(log.f64 (*.f64 alpha alpha))
0.2b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
0.3b
(*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha)))
Compiler

Compiled 68 to 22 computations (67.6% saved)

series44.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
1.0ms
cosTheta
@inf
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
1.0ms
alpha
@inf
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
1.0ms
cosTheta
@0
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
0.0ms
cosTheta
@-inf
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
Compiler

Compiled 5615 to 4435 computations (21% saved)

rewrite1.6s (1.1%)

Algorithm
batch-egg-rewrite
Rules
204×egg-rr
86×egg-rr
Counts
2 → 290
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(-.f64 (*.f64 alpha alpha) 1)
Outputs
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(+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))) (fma.f64 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (*.f64 0 (neg.f64 (fma.f64 alpha alpha -1))))) 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (*.f64 0 (neg.f64 (fma.f64 alpha alpha -1)))))) (fma.f64 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))) (fma.f64 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (*.f64 0 (neg.f64 (fma.f64 alpha alpha -1)))))) (fma.f64 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 alpha 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (neg.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 alpha -1)) (+.f64 alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (neg.f64 (pow.f64 alpha 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 alpha 2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha -1) 1) (*.f64 (+.f64 alpha -1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha -1) alpha) (*.f64 (+.f64 alpha -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 -1 (neg.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (neg.f64 (pow.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 alpha) alpha) (*.f64 (+.f64 1 alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 1 alpha)) (+.f64 (neg.f64 alpha) -1))))))

simplify4.7s (3.4%)

Algorithm
egglog
Counts
326 → 415
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha))))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
(/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 cosTheta 4)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 cosTheta 6) (-.f64 (pow.f64 alpha 2) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 cosTheta 4)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 (pow.f64 (/.f64 1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (*.f64 (pow.f64 (/.f64 1 cosTheta) 6) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 (pow.f64 (/.f64 1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (pow.f64 (/.f64 1 cosTheta) 8)) (*.f64 (pow.f64 (/.f64 1 cosTheta) 6) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 -1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 -1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (*.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 -1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (*.f64 (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (pow.f64 (/.f64 -1 cosTheta) 6))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 -1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 cosTheta) 8) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (*.f64 (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (pow.f64 (/.f64 -1 cosTheta) 6)))))
-1
(-.f64 (pow.f64 alpha 2) 1)
(-.f64 (pow.f64 alpha 2) 1)
(-.f64 (pow.f64 alpha 2) 1)
(pow.f64 (/.f64 1 alpha) -2)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(pow.f64 (/.f64 -1 alpha) -2)
(-.f64 (pow.f64 (/.f64 -1 alpha) -2) 1)
(-.f64 (pow.f64 (/.f64 -1 alpha) -2) 1)
(-.f64 (pow.f64 (/.f64 -1 alpha) -2) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha 2))) (-.f64 1 (pow.f64 cosTheta 2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha 2))) (-.f64 1 (pow.f64 cosTheta 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha 2))) (-.f64 1 (pow.f64 cosTheta 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha 2))) (-.f64 1 (pow.f64 cosTheta 2)))))
(*.f64 1 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha 2))) (-.f64 1 (pow.f64 cosTheta 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha 2))) (-.f64 1 (pow.f64 cosTheta 2))) 1)
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha 2))) (/.f64 1 (-.f64 1 (pow.f64 cosTheta 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))) (/.f64 (+.f64 alpha -1) (-.f64 1 (pow.f64 cosTheta 2))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))) (/.f64 (fma.f64 alpha alpha -1) (-.f64 1 (pow.f64 cosTheta 2))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (-.f64 1 (pow.f64 cosTheta 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (/.f64 (+.f64 alpha -1) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 cosTheta 2))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha 2))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (-.f64 1 (pow.f64 cosTheta 2))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (PI.f64)) (/.f64 (-.f64 1 alpha) (*.f64 (+.f64 (pow.f64 cosTheta 2) -1) (log.f64 (pow.f64 alpha 2)))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (fma.f64 alpha alpha -1) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (log.f64 (pow.f64 alpha 2)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (log.f64 (pow.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (log.f64 (pow.f64 alpha 2))) (PI.f64)))) (/.f64 (+.f64 alpha -1) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (log.f64 (pow.f64 alpha 2))) (PI.f64)) 2))))
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(if (!=.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (*.f64 0 (neg.f64 (fma.f64 alpha alpha -1))))) 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (*.f64 0 (neg.f64 (fma.f64 alpha alpha -1)))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))) (fma.f64 alpha alpha -1))
(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (*.f64 0 (neg.f64 (fma.f64 alpha alpha -1)))))) (fma.f64 alpha alpha -1))
(+.f64 -1 (pow.f64 alpha 2))
(+.f64 (pow.f64 alpha 2) -1)
(+.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (neg.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(+.f64 0 (fma.f64 alpha alpha -1))
(+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1)))
(+.f64 (*.f64 alpha (+.f64 alpha -1)) (+.f64 alpha -1))
(+.f64 -1 (*.f64 (neg.f64 (pow.f64 alpha 2)) -1))
(+.f64 (*.f64 (neg.f64 (pow.f64 alpha 2)) -1) -1)
(+.f64 (*.f64 (+.f64 alpha -1) 1) (*.f64 (+.f64 alpha -1) alpha))
(+.f64 (*.f64 (+.f64 alpha -1) alpha) (*.f64 (+.f64 alpha -1) 1))
(+.f64 -1 (*.f64 -1 (neg.f64 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (neg.f64 (pow.f64 alpha 2))) -1)
(+.f64 (*.f64 (+.f64 1 alpha) alpha) (*.f64 (+.f64 1 alpha) -1))
(+.f64 (*.f64 alpha (+.f64 1 alpha)) (+.f64 (neg.f64 alpha) -1))
Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (PI.f64)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(*.f64 1/2 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (PI.f64))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(*.f64 1/2 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (PI.f64))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))))
(*.f64 1/2 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (pow.f64 cosTheta 2))) (PI.f64))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(/.f64 (*.f64 -1/2 (pow.f64 (pow.f64 alpha -1) -2)) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (pow.f64 (pow.f64 alpha -1) -2))) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (pow.f64 (pow.f64 alpha -1) -2))) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (pow.f64 (pow.f64 alpha -1) -2))) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha))))))
(/.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2))) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2))) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))) (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2))) (*.f64 (-.f64 1 (pow.f64 cosTheta 2)) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))
(/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(/.f64 (-.f64 (+.f64 (pow.f64 alpha 2) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) 1) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 cosTheta 4)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(+.f64 (*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha 2))) (/.f64 (pow.f64 cosTheta 4) (PI.f64))) (/.f64 (-.f64 (+.f64 (pow.f64 alpha 2) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) 1) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 cosTheta 6) (-.f64 (pow.f64 alpha 2) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 cosTheta 4)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))) (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(+.f64 (/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 6)) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 4))) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))) (/.f64 (-.f64 (+.f64 (pow.f64 alpha 2) (*.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2))) 1) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 alpha 2)) (/.f64 (pow.f64 cosTheta -1) cosTheta)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))))
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (neg.f64 (PI.f64))) (log.f64 (pow.f64 alpha 2))) (pow.f64 (pow.f64 cosTheta -1) 4)) (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (pow.f64 cosTheta -1) cosTheta)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 (pow.f64 (/.f64 1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (*.f64 (pow.f64 (/.f64 1 cosTheta) 6) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))))
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (neg.f64 (PI.f64))) (log.f64 (pow.f64 alpha 2))) (+.f64 (pow.f64 (pow.f64 cosTheta -1) 4) (pow.f64 (pow.f64 cosTheta -1) 6))) (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (pow.f64 cosTheta -1) cosTheta)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 (pow.f64 (/.f64 1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (pow.f64 (/.f64 1 cosTheta) 8)) (*.f64 (pow.f64 (/.f64 1 cosTheta) 6) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))))))
(-.f64 (fma.f64 (pow.f64 (pow.f64 cosTheta -1) 4) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (neg.f64 (PI.f64))) (log.f64 (pow.f64 alpha 2))) (*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (neg.f64 (PI.f64))) (log.f64 (pow.f64 alpha 2))) (+.f64 (pow.f64 (pow.f64 cosTheta -1) 6) (pow.f64 (pow.f64 cosTheta -1) 8)))) (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (pow.f64 cosTheta -1) cosTheta)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 -1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 alpha 2)) (/.f64 (pow.f64 cosTheta -1) cosTheta)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 -1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (*.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))))
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (neg.f64 (PI.f64))) (log.f64 (pow.f64 alpha 2))) (pow.f64 (pow.f64 cosTheta -1) 4)) (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (pow.f64 cosTheta -1) cosTheta)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 -1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (*.f64 (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (pow.f64 (/.f64 -1 cosTheta) 6))))
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (neg.f64 (PI.f64))) (log.f64 (pow.f64 alpha 2))) (+.f64 (pow.f64 (pow.f64 cosTheta -1) 4) (pow.f64 (/.f64 -1 cosTheta) 6))) (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (pow.f64 cosTheta -1) cosTheta)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 alpha 2) 1) (pow.f64 (/.f64 -1 cosTheta) 2)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 cosTheta) 4) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (+.f64 (*.f64 (pow.f64 (/.f64 -1 cosTheta) 8) (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))) (*.f64 (-.f64 (/.f64 1 (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (pow.f64 (/.f64 -1 cosTheta) 6)))))
(-.f64 (fma.f64 (pow.f64 (pow.f64 cosTheta -1) 4) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (neg.f64 (PI.f64))) (log.f64 (pow.f64 alpha 2))) (*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (neg.f64 (PI.f64))) (log.f64 (pow.f64 alpha 2))) (+.f64 (pow.f64 (/.f64 -1 cosTheta) 8) (pow.f64 (/.f64 -1 cosTheta) 6)))) (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (pow.f64 cosTheta -1) cosTheta)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
-1
(-.f64 (pow.f64 alpha 2) 1)
(fma.f64 alpha alpha -1)
(-.f64 (pow.f64 alpha 2) 1)
(fma.f64 alpha alpha -1)
(-.f64 (pow.f64 alpha 2) 1)
(fma.f64 alpha alpha -1)
(pow.f64 (/.f64 1 alpha) -2)
(pow.f64 (pow.f64 alpha -1) -2)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1)
(-.f64 (pow.f64 (/.f64 1 alpha) -2) 1)
(-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1)
(pow.f64 (/.f64 -1 alpha) -2)
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(if (!=.f64 (pow.f64 alpha 2) 0) (*.f64 (pow.f64 alpha 2) (+.f64 1 (/.f64 -1 (pow.f64 alpha 2)))) (fma.f64 alpha alpha -1))
(if (!=.f64 -1 0) (fma.f64 alpha alpha -1) (fma.f64 alpha alpha -1))
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(if (!=.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 alpha 3) 2) 2) 1) (pow.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) 2)) (/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (fma.f64 alpha alpha -1))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (-.f64 0 (pow.f64 (fma.f64 alpha alpha -1) 2)) (neg.f64 (fma.f64 alpha alpha -1))) (fma.f64 alpha alpha -1))
(if (!=.f64 (-.f64 1 (pow.f64 alpha 2)) 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (fma.f64 alpha alpha -1)) (fma.f64 alpha alpha -1))
(if (!=.f64 (-.f64 -1 (pow.f64 alpha 2)) 0) (/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 2) 2)) (-.f64 -1 (pow.f64 alpha 2))) (fma.f64 alpha alpha -1))
(if (!=.f64 (-.f64 -1 (pow.f64 alpha 2)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 alpha 2) 2) 1) (fma.f64 alpha alpha 1)) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 alpha 3) 2) 3) 1) (pow.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (pow.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) 2)))) (fma.f64 alpha alpha -1))
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(if (!=.f64 (-.f64 1 (pow.f64 alpha 2)) 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (fma.f64 alpha alpha -1)) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 1 (-.f64 (pow.f64 (pow.f64 alpha 2) 2) (neg.f64 (pow.f64 alpha 2)))) 0) (fma.f64 alpha alpha -1) (fma.f64 alpha alpha -1))
(if (!=.f64 (-.f64 (*.f64 (pow.f64 alpha 2) (fma.f64 alpha alpha 1)) -1) 0) (fma.f64 alpha alpha -1) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3) (pow.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 3)) (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (*.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))) (fma.f64 alpha alpha -1))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (fma.f64 alpha alpha -1)) (fma.f64 alpha alpha -1))
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(fma.f64 alpha alpha -1)
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(fma.f64 alpha alpha -1)
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(/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))
(+.f64 0 (fma.f64 alpha alpha -1))
(fma.f64 alpha alpha -1)
(+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1)))
(fma.f64 alpha alpha -1)
(+.f64 (*.f64 alpha (+.f64 alpha -1)) (+.f64 alpha -1))
(fma.f64 alpha alpha -1)
(+.f64 -1 (*.f64 (neg.f64 (pow.f64 alpha 2)) -1))
(fma.f64 alpha alpha -1)
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(fma.f64 alpha alpha -1)
(+.f64 (*.f64 (+.f64 alpha -1) 1) (*.f64 (+.f64 alpha -1) alpha))
(fma.f64 alpha alpha -1)
(+.f64 (*.f64 (+.f64 alpha -1) alpha) (*.f64 (+.f64 alpha -1) 1))
(fma.f64 alpha alpha -1)
(+.f64 -1 (*.f64 -1 (neg.f64 (pow.f64 alpha 2))))
(fma.f64 alpha alpha -1)
(+.f64 (*.f64 -1 (neg.f64 (pow.f64 alpha 2))) -1)
(fma.f64 alpha alpha -1)
(+.f64 (*.f64 (+.f64 1 alpha) alpha) (*.f64 (+.f64 1 alpha) -1))
(fma.f64 alpha alpha -1)
(+.f64 (*.f64 alpha (+.f64 1 alpha)) (+.f64 (neg.f64 alpha) -1))
(fma.f64 alpha alpha -1)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series4.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
0.0ms
alpha
@0
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
0.0ms
alpha
@-inf
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
0.0ms
alpha
@inf
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
Compiler

Compiled 555 to 410 computations (26.1% saved)

rewrite1.5s (1.1%)

Algorithm
batch-egg-rewrite
Rules
200×egg-rr
Counts
1 → 200
Calls
Call 1
Inputs
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
Outputs
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simplify3.7s (2.6%)

Algorithm
egglog
Counts
208 → 235
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) 2)) (cbrt.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (/.f64 (cbrt.f64 1/4) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
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(*.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(*.f64 (/.f64 (cbrt.f64 1/4) (PI.f64)) (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 (PI.f64) (PI.f64)))) (log.f64 alpha)) (cbrt.f64 (/.f64 -1/2 (PI.f64))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))))
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)) 2)) (cbrt.f64 -1/2)) (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) 1/2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (neg.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (cbrt.f64 (/.f64 -1/8 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2)))
(/.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (*.f64 (PI.f64) -2)))
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(/.f64 (/.f64 1 (log.f64 alpha)) (*.f64 (PI.f64) -2))
(/.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 alpha) -1/2))
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(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (*.f64 1/2 (/.f64 -1 (log.f64 alpha))) (PI.f64))
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Outputs
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(+.f64 (/.f64 0 (*.f64 (neg.f64 (log.f64 alpha)) (PI.f64))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 (*.f64 0 (/.f64 -1 (log.f64 alpha))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 (*.f64 0 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 (*.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) 0) (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 (/.f64 0 (*.f64 (neg.f64 (log.f64 alpha)) (PI.f64))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))) 2)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))) 2)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 0 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))) 2)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))

localize24.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(-.f64 1 (*.f64 alpha alpha))
0.2b
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64)))
0.3b
(*.f64 (log.f64 alpha) (PI.f64))
Compiler

Compiled 42 to 18 computations (57.1% saved)

series14.0ms (0%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
0.0ms
alpha
@-inf
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64)))
0.0ms
alpha
@0
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64)))
0.0ms
alpha
@inf
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64)))
0.0ms
alpha
@-inf
(-.f64 1 (*.f64 alpha alpha))
0.0ms
alpha
@inf
(-.f64 1 (*.f64 alpha alpha))
Compiler

Compiled 1715 to 1340 computations (21.9% saved)

rewrite1.7s (1.2%)

Algorithm
batch-egg-rewrite
Rules
260×egg-rr
127×egg-rr
Counts
2 → 387
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64)))
(-.f64 1 (*.f64 alpha alpha))
Outputs
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(/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (pow.f64 alpha 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 1/2 (neg.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (pow.f64 alpha 2)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 1/2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 alpha alpha 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 9) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 3/2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (fma.f64 alpha alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0)))))

simplify5.0s (3.5%)

Algorithm
egglog
Counts
407 → 603
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
1
(+.f64 1 (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 1 (*.f64 -1 (pow.f64 alpha 2)))
(+.f64 1 (*.f64 -1 (pow.f64 alpha 2)))
(*.f64 -1 (pow.f64 (/.f64 1 alpha) -2))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 alpha) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 alpha) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 alpha) -2)))
(*.f64 -1 (pow.f64 (/.f64 -1 alpha) -2))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 -1 alpha) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 -1 alpha) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 -1 alpha) -2)))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (log.f64 alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (neg.f64 (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (log.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) (/.f64 (neg.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (log.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (log.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (neg.f64 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) (log.f64 alpha))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2)))
(*.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (/.f64 1 (*.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (*.f64 (log.f64 alpha) (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2)) (cbrt.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) (log.f64 alpha))))
(*.f64 1 (/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) (log.f64 alpha)))
(*.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) (log.f64 alpha)) 1)
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 1 (log.f64 alpha)) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))
(*.f64 (neg.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) (log.f64 alpha)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (PI.f64)) (log.f64 alpha)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) (/.f64 1 (log.f64 alpha)))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) (log.f64 alpha)) (neg.f64 (cbrt.f64 (fma.f64 alpha alpha -1))))
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))) (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64)))) (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) 2)))
(*.f64 -1 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) 2)) (+.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha)) 2)) (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha)))))) (-.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha))) (cbrt.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha)))))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (neg.f64 (fma.f64 alpha alpha -1)))
(*.f64 (*.f64 (*.f64 (log.f64 alpha) (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1))) (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) 2))
(*.f64 (/.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))) (fma.f64 alpha alpha -1))
(*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)))
(-.f64 (/.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (*.f64 (log.f64 alpha) (PI.f64))) (/.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2)) (/.f64 (*.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64))) (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2)))
(-.f64 (/.f64 1 (*.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (*.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (/.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)))
(-.f64 (/.f64 0 (*.f64 (log.f64 alpha) (PI.f64))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)))
(-.f64 (-.f64 (/.f64 0 (*.f64 (log.f64 alpha) (PI.f64))) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (-.f64 (/.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (-.f64 (/.f64 0 (*.f64 (log.f64 alpha) (PI.f64))) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (PI.f64)) (log.f64 alpha)))
(-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (PI.f64)) (log.f64 alpha)))
(-.f64 (-.f64 (/.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (PI.f64)) (log.f64 alpha)))
(-.f64 (-.f64 (/.f64 0 (*.f64 (log.f64 alpha) (PI.f64))) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (log.f64 alpha)) (PI.f64)))
(-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (log.f64 alpha)) (PI.f64)))
(-.f64 (-.f64 (/.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (log.f64 alpha)) (PI.f64)))
(-.f64 (-.f64 (/.f64 0 (*.f64 (log.f64 alpha) (PI.f64))) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))))
(-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))))
(-.f64 (-.f64 (/.f64 0 (*.f64 (PI.f64) (neg.f64 (log.f64 alpha)))) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha))) (/.f64 (/.f64 -1 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))))
(-.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (neg.f64 (pow.f64 alpha 2))) (/.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha)))
(-.f64 (+.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 alpha)) 0) (/.f64 (/.f64 (pow.f64 alpha 2) (PI.f64)) (log.f64 alpha)))
(-.f64 0 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2))) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) (log.f64 alpha))) (cbrt.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (PI.f64)) (*.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (log.f64 alpha)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2)) (cbrt.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2))) (*.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (log.f64 alpha)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (fma.f64 alpha alpha -1)) (neg.f64 (log.f64 alpha)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (log.f64 alpha)) (*.f64 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (PI.f64)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (PI.f64)) (*.f64 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (log.f64 alpha)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 alpha 3) 2)) (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 (-.f64 -1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))))
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(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (pow.f64 (/.f64 1 (neg.f64 (fma.f64 alpha alpha -1))) -1) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) -1)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (/.f64 1 (neg.f64 (cbrt.f64 (fma.f64 alpha alpha -1))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) 0) (pow.f64 (/.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2))) -1) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) 2)) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2))) (/.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) 2)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (/.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) (neg.f64 (fma.f64 alpha alpha -1)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (pow.f64 alpha 2)) 0) (*.f64 (neg.f64 (pow.f64 alpha 2)) (+.f64 1 (/.f64 1 (neg.f64 (pow.f64 alpha 2))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (pow.f64 (fma.f64 alpha alpha -1) 2)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 2) (-.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 0) (*.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (+.f64 1 (pow.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 3))) (+.f64 (pow.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) 2) (-.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (pow.f64 (fma.f64 alpha alpha -1) 2)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 1 0) (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))))) (neg.f64 (fma.f64 alpha alpha -1)))
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(if (!=.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (+.f64 1 (/.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 0 0) (/.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) 0) (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 -1 0) (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0)) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0))) 0) (/.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) 0) (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) 0) (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) 0) (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (pow.f64 (fma.f64 alpha alpha -1) 2)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 0) (/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (fma.f64 alpha alpha -1))) (*.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (neg.f64 (fma.f64 alpha alpha -1)))
(+.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))
(+.f64 (neg.f64 (pow.f64 alpha 2)) 1)
(+.f64 1 (neg.f64 (pow.f64 alpha 2)))
(+.f64 1/2 (-.f64 1/2 (pow.f64 alpha 2)))
(+.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (-.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 0))
(+.f64 1 (-.f64 (neg.f64 (pow.f64 alpha 2)) 0))
(+.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(+.f64 1/2 (+.f64 1/2 (neg.f64 (pow.f64 alpha 2))))
(+.f64 (+.f64 (neg.f64 (pow.f64 alpha 2)) 1/2) 1/2)
(+.f64 (+.f64 0 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))
(+.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))
(+.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 1/2) 3/2)
(+.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 3) 4)
(+.f64 (neg.f64 (fma.f64 alpha alpha 1)) 2)
(+.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 2) 3)
(+.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 0) 1)
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 6) 6)
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 9) 9)
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/3) 1/3)
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/2) 1/2)
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 3/2) 3/2)
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 4) 4)
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 3) 3)
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1) 1)
(+.f64 0 (neg.f64 (fma.f64 alpha alpha -1)))
(+.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0)
Outputs
(/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) -1) (/.f64 (*.f64 alpha alpha) (PI.f64))) (log.f64 alpha))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) -1) (/.f64 (*.f64 alpha alpha) (PI.f64))) (log.f64 alpha))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (PI.f64) -1) (/.f64 (*.f64 alpha alpha) (PI.f64))) (log.f64 alpha))
(/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (pow.f64 (pow.f64 alpha -1) -2) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
1
(+.f64 1 (*.f64 -1 (pow.f64 alpha 2)))
(-.f64 1 (*.f64 alpha alpha))
(+.f64 1 (*.f64 -1 (pow.f64 alpha 2)))
(-.f64 1 (*.f64 alpha alpha))
(+.f64 1 (*.f64 -1 (pow.f64 alpha 2)))
(-.f64 1 (*.f64 alpha alpha))
(*.f64 -1 (pow.f64 (/.f64 1 alpha) -2))
(neg.f64 (pow.f64 (pow.f64 alpha -1) -2))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 alpha) -2)))
(+.f64 1 (neg.f64 (pow.f64 (pow.f64 alpha -1) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 alpha) -2)))
(+.f64 1 (neg.f64 (pow.f64 (pow.f64 alpha -1) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 1 alpha) -2)))
(+.f64 1 (neg.f64 (pow.f64 (pow.f64 alpha -1) -2)))
(*.f64 -1 (pow.f64 (/.f64 -1 alpha) -2))
(neg.f64 (pow.f64 (/.f64 -1 alpha) -2))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 -1 alpha) -2)))
(+.f64 1 (neg.f64 (pow.f64 (/.f64 -1 alpha) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 -1 alpha) -2)))
(+.f64 1 (neg.f64 (pow.f64 (/.f64 -1 alpha) -2)))
(+.f64 1 (*.f64 -1 (pow.f64 (/.f64 -1 alpha) -2)))
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(if (!=.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 2) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 2)) (neg.f64 (/.f64 (*.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) 2)))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 3)) (-.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 2) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 2)) (neg.f64 (/.f64 (*.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) 2))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0)) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0) (neg.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (pow.f64 (fma.f64 alpha alpha -1) 2))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0))) 0) (/.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) 0) (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0) (neg.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (pow.f64 (fma.f64 alpha alpha -1) 2))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1) 0) (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) 0) (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 3)) (-.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 2) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 2)) (neg.f64 (/.f64 (*.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) 2))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (neg.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (pow.f64 (fma.f64 alpha alpha -1) 2))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) 0) (+.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 0 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (neg.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (pow.f64 (fma.f64 alpha alpha -1) 2))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 2) (/.f64 (*.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) 2))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0) (/.f64 (neg.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (pow.f64 (fma.f64 alpha alpha -1) 2)) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) 0) (neg.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) (pow.f64 (fma.f64 alpha alpha -1) 2))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 0) (/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (fma.f64 alpha alpha -1))) (*.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 0) (/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) (neg.f64 (fma.f64 alpha alpha -1))) (/.f64 (+.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 3)) (+.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) 2) (*.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))))) (neg.f64 (fma.f64 alpha alpha -1)))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 2) (/.f64 (*.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) 2)))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) -1) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1))) 2) (/.f64 (*.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (pow.f64 (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)) 2))))) (neg.f64 (fma.f64 alpha alpha -1)))
(+.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)))
(+.f64 (neg.f64 (pow.f64 alpha 2)) 1)
(-.f64 1 (*.f64 alpha alpha))
(+.f64 1 (neg.f64 (pow.f64 alpha 2)))
(-.f64 1 (*.f64 alpha alpha))
(+.f64 1/2 (-.f64 1/2 (pow.f64 alpha 2)))
(-.f64 (+.f64 1/2 1/2) (*.f64 alpha alpha))
(+.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)) (-.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) 0))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)))
(+.f64 1 (-.f64 (neg.f64 (pow.f64 alpha 2)) 0))
(-.f64 1 (*.f64 alpha alpha))
(+.f64 (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)))
(+.f64 1/2 (+.f64 1/2 (neg.f64 (pow.f64 alpha 2))))
(-.f64 (+.f64 1/2 1/2) (*.f64 alpha alpha))
(+.f64 (+.f64 (neg.f64 (pow.f64 alpha 2)) 1/2) 1/2)
(-.f64 (+.f64 1/2 1/2) (*.f64 alpha alpha))
(+.f64 (+.f64 0 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)))
(+.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1)))) (neg.f64 (/.f64 (pow.f64 (pow.f64 alpha 3) 2) (-.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) -1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 2)) (fma.f64 alpha (+.f64 (pow.f64 alpha 3) alpha) (neg.f64 -1)))
(+.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 1/2) 3/2)
(-.f64 (neg.f64 (*.f64 alpha alpha)) (-.f64 1/2 3/2))
(+.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 3) 4)
(-.f64 (neg.f64 (*.f64 alpha alpha)) (-.f64 3 4))
(+.f64 (neg.f64 (fma.f64 alpha alpha 1)) 2)
(+.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 2) 3)
(-.f64 (neg.f64 (*.f64 alpha alpha)) (-.f64 2 3))
(+.f64 (-.f64 (neg.f64 (pow.f64 alpha 2)) 0) 1)
(-.f64 1 (*.f64 alpha alpha))
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 6) 6)
(-.f64 (neg.f64 (fma.f64 alpha alpha -1)) (-.f64 6 6))
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 9) 9)
(-.f64 (neg.f64 (fma.f64 alpha alpha -1)) (-.f64 9 9))
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/3) 1/3)
(-.f64 (neg.f64 (fma.f64 alpha alpha -1)) (-.f64 1/3 1/3))
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/2) 1/2)
(-.f64 (neg.f64 (fma.f64 alpha alpha -1)) (-.f64 1/2 1/2))
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 3/2) 3/2)
(-.f64 (neg.f64 (fma.f64 alpha alpha -1)) (-.f64 3/2 3/2))
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 4) 4)
(-.f64 (neg.f64 (fma.f64 alpha alpha -1)) (-.f64 4 4))
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 3) 3)
(-.f64 (neg.f64 (fma.f64 alpha alpha -1)) (-.f64 3 3))
(+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1) 1)
(-.f64 (neg.f64 (fma.f64 alpha alpha -1)) (-.f64 1 1))
(+.f64 0 (neg.f64 (fma.f64 alpha alpha -1)))
(neg.f64 (fma.f64 alpha alpha -1))
(+.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0)
(neg.f64 (fma.f64 alpha alpha -1))

localize19.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (log.f64 alpha))
0.3b
(/.f64 (*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
0.3b
(*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1))
Compiler

Compiled 42 to 26 computations (38.1% saved)

series21.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
1.0ms
alpha
@-inf
(*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1))
0.0ms
alpha
@-inf
(/.f64 1 (log.f64 alpha))
0.0ms
alpha
@inf
(*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1))
0.0ms
alpha
@0
(*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1))
0.0ms
alpha
@inf
(/.f64 1 (log.f64 alpha))
Compiler

Compiled 2745 to 2190 computations (20.2% saved)

rewrite1.7s (1.2%)

Algorithm
batch-egg-rewrite
Rules
180×egg-rr
121×egg-rr
51×egg-rr
Counts
3 → 352
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1))
(/.f64 (*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
(/.f64 1 (log.f64 alpha))
Outputs
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2) (*.f64 0 (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 0) (/.f64 1 (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (/.f64 0 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 alpha)))))))

simplify6.1s (4.3%)

Algorithm
egglog
Counts
372 → 438
Calls
Call 1
Inputs
(/.f64 -1 (log.f64 alpha))
(-.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(-.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(-.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(*.f64 -1 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (log.f64 (/.f64 1 alpha))))
(+.f64 (/.f64 1 (log.f64 (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (log.f64 (/.f64 1 alpha)))))
(+.f64 (/.f64 1 (log.f64 (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (log.f64 (/.f64 1 alpha)))))
(+.f64 (/.f64 1 (log.f64 (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (log.f64 (/.f64 1 alpha)))))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(/.f64 -1 (log.f64 (/.f64 1 alpha)))
(/.f64 -1 (log.f64 (/.f64 1 alpha)))
(/.f64 -1 (log.f64 (/.f64 1 alpha)))
(/.f64 -1 (log.f64 (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (log.f64 alpha)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 alpha) 2) -1)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))))
(*.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2))) (cbrt.f64 (/.f64 1 (log.f64 alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (log.f64 alpha)) (cbrt.f64 (fma.f64 alpha alpha -1)))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (/.f64 1 (log.f64 alpha))))
(*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2))))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (log.f64 alpha)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha))))
(*.f64 -1 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) -1)
(*.f64 1 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 1)
(*.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (*.f64 0 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))))) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (+.f64 0 (*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) 0))) (-.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) 0))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) 0)) (+.f64 0 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))))
(*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 -1 (log.f64 alpha)))
(*.f64 (/.f64 -1 (log.f64 alpha)) (neg.f64 (fma.f64 alpha alpha -1)))
(-.f64 (/.f64 -1 (log.f64 alpha)) (neg.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha))))
(-.f64 (-.f64 0 (*.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) -1)) (/.f64 1 (log.f64 alpha)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 0) (/.f64 1 (log.f64 alpha)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 0 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(-.f64 (+.f64 0 (/.f64 (pow.f64 alpha 2) (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(-.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(-.f64 0 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))
(-.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 0)
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (/.f64 1 (log.f64 alpha))) (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (neg.f64 (cbrt.f64 (log.f64 alpha))))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)))) (neg.f64 (cbrt.f64 (log.f64 alpha))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2)))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (*.f64 (/.f64 1 (log.f64 alpha)) (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (*.f64 (log.f64 alpha) (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1))))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) -1)
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 1)
(/.f64 (+.f64 (*.f64 (pow.f64 alpha 2) (cbrt.f64 (/.f64 1 (log.f64 alpha)))) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (+.f64 (*.f64 (pow.f64 alpha 2) (cbrt.f64 (/.f64 1 (log.f64 alpha)))) (cbrt.f64 (/.f64 -1 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (pow.f64 alpha 2)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (pow.f64 alpha 2)) (cbrt.f64 (/.f64 -1 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1) (*.f64 (pow.f64 alpha 2) (cbrt.f64 (/.f64 1 (log.f64 alpha))))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (pow.f64 alpha 2))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (+.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) (*.f64 (pow.f64 alpha 2) (cbrt.f64 (/.f64 1 (log.f64 alpha))))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (+.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (pow.f64 alpha 2))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) 0) -1)
(/.f64 (-.f64 (*.f64 (pow.f64 alpha 2) (cbrt.f64 (/.f64 1 (log.f64 alpha)))) (cbrt.f64 (/.f64 1 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 alpha 2) (cbrt.f64 (/.f64 1 (log.f64 alpha)))) (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) -1)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (pow.f64 alpha 2)) (cbrt.f64 (/.f64 1 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (pow.f64 alpha 2)) (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) -1)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (log.f64 alpha)))
(fma.f64 (pow.f64 alpha 2) (/.f64 1 (log.f64 alpha)) (/.f64 -1 (log.f64 alpha)))
(fma.f64 (/.f64 1 (log.f64 alpha)) (pow.f64 alpha 2) (/.f64 -1 (log.f64 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 1)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 3))
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))
(neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) 0))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (log.f64 alpha) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (log.f64 alpha) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 0) (pow.f64 (/.f64 1 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) -1) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(if (!=.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 2) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (*.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 -1 (log.f64 alpha))))) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha 1) (log.f64 alpha)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 2) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 (fma.f64 alpha alpha 1) (log.f64 alpha))) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 2) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (*.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 -1 (log.f64 alpha)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 2) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (*.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 -1 (log.f64 alpha))))) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 2) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (*.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 -1 (log.f64 alpha))))) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(if (!=.f64 1 0) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
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(if (!=.f64 (/.f64 1 (log.f64 alpha)) 0) (pow.f64 (/.f64 1 (/.f64 1 (log.f64 alpha))) -1) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (pow.f64 (log.f64 alpha) 3) 0) (pow.f64 (pow.f64 (log.f64 alpha) 3) -1/3) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 (log.f64 alpha)) 0) (pow.f64 (cbrt.f64 (log.f64 alpha)) -3) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 1 0) (/.f64 1 (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (+.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha))) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (+.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 -1 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 0 (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 0 (/.f64 -1 (log.f64 alpha))))) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 0 (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 0 (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(+.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 0) (/.f64 1 (log.f64 alpha)))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(+.f64 (-.f64 0 (/.f64 0 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(+.f64 0 (/.f64 1 (log.f64 alpha)))
Outputs
(/.f64 -1 (log.f64 alpha))
(-.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 -1 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (log.f64 (/.f64 1 alpha))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (pow.f64 alpha -1) -2))) (log.f64 alpha))
(+.f64 (/.f64 1 (log.f64 (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (log.f64 (/.f64 1 alpha)))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (pow.f64 alpha -1) -2))) (neg.f64 (log.f64 alpha)))
(+.f64 (/.f64 1 (log.f64 (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (log.f64 (/.f64 1 alpha)))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (pow.f64 alpha -1) -2))) (neg.f64 (log.f64 alpha)))
(+.f64 (/.f64 1 (log.f64 (/.f64 1 alpha))) (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (log.f64 (/.f64 1 alpha)))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (pow.f64 alpha -1) -2))) (neg.f64 (log.f64 alpha)))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 alpha) (+.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 alpha) (+.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 alpha) (+.f64 (PI.f64) (PI.f64))))
(*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (*.f64 -1/2 (pow.f64 (pow.f64 alpha -1) -2)) (*.f64 (log.f64 alpha) (neg.f64 (PI.f64))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 (pow.f64 alpha -1) -2)) 1/2) (*.f64 (log.f64 alpha) (neg.f64 (PI.f64))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 (pow.f64 alpha -1) -2)) 1/2) (*.f64 (log.f64 alpha) (neg.f64 (PI.f64))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(/.f64 (+.f64 (*.f64 -1/2 (pow.f64 (pow.f64 alpha -1) -2)) 1/2) (*.f64 (log.f64 alpha) (neg.f64 (PI.f64))))
(/.f64 -1 (log.f64 (/.f64 1 alpha)))
(/.f64 1 (log.f64 alpha))
(/.f64 -1 (log.f64 (/.f64 1 alpha)))
(/.f64 1 (log.f64 alpha))
(/.f64 -1 (log.f64 (/.f64 1 alpha)))
(/.f64 1 (log.f64 alpha))
(/.f64 -1 (log.f64 (/.f64 1 alpha)))
(/.f64 1 (log.f64 alpha))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (log.f64 alpha)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (log.f64 alpha))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2))))
(cbrt.f64 (*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 3)))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 alpha) 2) -1)))
(/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 3)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))))
(cbrt.f64 (*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2))))
(*.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2))) (cbrt.f64 (/.f64 1 (log.f64 alpha))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (log.f64 alpha)) (cbrt.f64 (fma.f64 alpha alpha -1)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (log.f64 alpha))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (/.f64 1 (log.f64 alpha))))
(/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 3)))
(*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (log.f64 alpha))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (log.f64 alpha))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 -1 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) -1)
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 1 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 1)
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (*.f64 0 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))))) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (+.f64 0 (*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) 0))) (-.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) 0))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) 0)) (+.f64 0 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 -1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(*.f64 (/.f64 -1 (log.f64 alpha)) (neg.f64 (fma.f64 alpha alpha -1)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (/.f64 -1 (log.f64 alpha)) (neg.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (-.f64 0 (*.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) -1)) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) 0) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 0 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (+.f64 0 (/.f64 (pow.f64 alpha 2) (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (/.f64 (pow.f64 alpha 2) (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 0 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(-.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 0)
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (/.f64 1 (log.f64 alpha))) (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1)))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (*.f64 (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1)) (log.f64 alpha)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 3)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (neg.f64 (cbrt.f64 (log.f64 alpha))))
(/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 3)))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)))) (neg.f64 (cbrt.f64 (log.f64 alpha))))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2))) (cbrt.f64 (log.f64 alpha)))
(cbrt.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (log.f64 alpha)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2)))) (cbrt.f64 (log.f64 alpha)))
(cbrt.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (pow.f64 (log.f64 alpha) 2))) (log.f64 alpha)))
(/.f64 (*.f64 (/.f64 1 (log.f64 alpha)) (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1)))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (*.f64 (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1)) (log.f64 alpha)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (log.f64 alpha)))
(cbrt.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 2)) (log.f64 alpha)))
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (*.f64 (log.f64 alpha) (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha 3) 2) 1) (*.f64 (+.f64 (pow.f64 (pow.f64 alpha 2) 2) (fma.f64 alpha alpha 1)) (log.f64 alpha)))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 3)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 3)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(cbrt.f64 (/.f64 (*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (pow.f64 (fma.f64 alpha alpha -1) 2)) (pow.f64 (log.f64 alpha) 2)))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 alpha)) -1)
(/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha))
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(cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)))
(/.f64 1 (log.f64 alpha))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (/.f64 -1 (log.f64 alpha))))
(cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (cbrt.f64 (/.f64 1 (log.f64 alpha))))
(/.f64 1 (log.f64 alpha))
(*.f64 -1 (/.f64 -1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(*.f64 (/.f64 -1 (log.f64 alpha)) -1)
(/.f64 1 (log.f64 alpha))
(*.f64 1 (/.f64 1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(*.f64 (/.f64 1 (log.f64 alpha)) 1)
(/.f64 1 (log.f64 alpha))
(-.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(-.f64 0 (/.f64 -1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (log.f64 alpha) 2) -1)) (cbrt.f64 (log.f64 alpha)))
(cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (cbrt.f64 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(/.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) -1) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2))) (neg.f64 (cbrt.f64 (log.f64 alpha))))
(/.f64 1 (log.f64 alpha))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (neg.f64 (cbrt.f64 (log.f64 alpha))))
(cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (pow.f64 (log.f64 alpha) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) -1) (neg.f64 (cbrt.f64 (log.f64 alpha))))
(/.f64 1 (log.f64 alpha))
(/.f64 -1 (neg.f64 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(/.f64 (/.f64 -1 (log.f64 alpha)) -1)
(/.f64 1 (log.f64 alpha))
(/.f64 1 (log.f64 alpha))
(/.f64 (/.f64 1 (log.f64 alpha)) 1)
(/.f64 1 (log.f64 alpha))
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) 3)
(/.f64 1 (log.f64 alpha))
(pow.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) 1/3)
(/.f64 1 (log.f64 alpha))
(pow.f64 (log.f64 alpha) -1)
(/.f64 1 (log.f64 alpha))
(pow.f64 (/.f64 1 (log.f64 alpha)) 1)
(/.f64 1 (log.f64 alpha))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3))
(/.f64 1 (log.f64 alpha))
(neg.f64 (/.f64 -1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(neg.f64 (-.f64 (/.f64 -1 (log.f64 alpha)) (/.f64 0 (neg.f64 (log.f64 alpha)))))
(/.f64 1 (log.f64 alpha))
(neg.f64 (-.f64 (/.f64 -1 (log.f64 alpha)) 0))
(/.f64 1 (log.f64 alpha))
(if (!=.f64 (log.f64 alpha) 0) (/.f64 1 (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 -1 0) (/.f64 1 (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 1 (log.f64 alpha)) 0) (pow.f64 (/.f64 1 (/.f64 1 (log.f64 alpha))) -1) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 1 (log.f64 alpha)) 0) (/.f64 1 (pow.f64 (/.f64 1 (log.f64 alpha)) -1)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (pow.f64 (log.f64 alpha) 3) 0) (pow.f64 (pow.f64 (log.f64 alpha) 3) -1/3) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (cbrt.f64 (log.f64 alpha)) 0) (pow.f64 (cbrt.f64 (log.f64 alpha)) -3) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 1 0) (/.f64 1 (log.f64 alpha)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (+.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha))) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (+.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (/.f64 1 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 -1 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (/.f64 1 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 0 (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 -1 (log.f64 alpha)) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 0 (/.f64 -1 (log.f64 alpha))))) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 0 (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 3) (pow.f64 (/.f64 -1 (log.f64 alpha)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (neg.f64 (log.f64 alpha)))) (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 2) (*.f64 0 (/.f64 -1 (log.f64 alpha)))))) (/.f64 1 (log.f64 alpha)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 1 (log.f64 alpha)) 3) (pow.f64 (/.f64 1 (log.f64 alpha)) 2)) (/.f64 1 (log.f64 alpha)))
(+.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) 0) (/.f64 1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(+.f64 (-.f64 (/.f64 0 (neg.f64 (log.f64 alpha))) (/.f64 0 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(+.f64 (-.f64 0 (/.f64 0 (log.f64 alpha))) (/.f64 1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))
(+.f64 0 (/.f64 1 (log.f64 alpha)))
(/.f64 1 (log.f64 alpha))

localize58.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))
0.3b
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha))
0.4b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))
0.4b
(/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha)))
Compiler

Compiled 141 to 99 computations (29.8% saved)

series27.0ms (0%)

Counts
3 → 23
Calls

9 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha)))
0.0ms
alpha
@inf
(/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha)))
0.0ms
alpha
@inf
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))
0.0ms
alpha
@-inf
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha))
0.0ms
alpha
@inf
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha))
Compiler

Compiled 4145 to 2970 computations (28.3% saved)

rewrite1.6s (1.1%)

Algorithm
batch-egg-rewrite
Rules
110×egg-rr
110×egg-rr
45×egg-rr
Counts
3 → 265
Calls
Call 1
Inputs
(/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha))
Outputs
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alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)) 0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (PI.f64) 0) (/.f64 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simplify4.3s (3.1%)

Algorithm
egglog
Counts
288 → 369
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 alpha (PI.f64)))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 alpha (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 alpha (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 3) (PI.f64)))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))))
(*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)) alpha))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 alpha)) (*.f64 (pow.f64 (/.f64 1 alpha) 2) (PI.f64)))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)) alpha)))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 alpha)) (*.f64 (pow.f64 (/.f64 1 alpha) 2) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)) alpha)) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 alpha)) (*.f64 (pow.f64 (/.f64 1 alpha) 2) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)) alpha)) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 alpha)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (PI.f64)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 alpha) 2)) (/.f64 -1 (+.f64 -1 alpha))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 2) (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2))))
(*.f64 (/.f64 (-.f64 -1 alpha) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2) -1)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (/.f64 1 (/.f64 -1 (+.f64 -1 alpha))))
(*.f64 (cbrt.f64 (/.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2))))
(*.f64 (-.f64 -1 (pow.f64 alpha 3)) (/.f64 1 (*.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) (-.f64 (fma.f64 alpha alpha 1) alpha))))
(*.f64 (cbrt.f64 (-.f64 -1 alpha)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 alpha) 2)) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 alpha 3)) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 (pow.f64 alpha -1))) (/.f64 (-.f64 -1 alpha) (/.f64 -1 (+.f64 -1 alpha))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)) (*.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) alpha)) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2) -1))
(*.f64 (/.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha))) (-.f64 -1 alpha))
(*.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))
(*.f64 1 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 1)
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha))) 2)) (+.f64 (cbrt.f64 (pow.f64 (/.f64 alpha (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 2)) (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))) (cbrt.f64 (/.f64 alpha (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))))) (-.f64 (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))) (cbrt.f64 (/.f64 alpha (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))))
(*.f64 (-.f64 -1 alpha) (/.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha))))
(*.f64 (+.f64 1 alpha) (/.f64 -1 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))
(-.f64 (/.f64 -1 (*.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) (-.f64 (fma.f64 alpha alpha 1) alpha))) (/.f64 (pow.f64 alpha 3) (*.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) (-.f64 (fma.f64 alpha alpha 1) alpha))))
(-.f64 (/.f64 (/.f64 -1 (-.f64 (fma.f64 alpha alpha 1) alpha)) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) (/.f64 (/.f64 (pow.f64 alpha 3) (-.f64 (fma.f64 alpha alpha 1) alpha)) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))
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(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1))))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 0) (/.f64 1 (/.f64 (log.f64 (pow.f64 alpha -1)) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1))))
(+.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (neg.f64 alpha)))
(+.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (*.f64 (neg.f64 alpha) (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1)))))
(+.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (*.f64 alpha (/.f64 (+.f64 1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))))))
(+.f64 (*.f64 alpha (/.f64 (+.f64 1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))))) (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) -1) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) alpha))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) alpha) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) -1))
(+.f64 (*.f64 (neg.f64 alpha) (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1)))) (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (neg.f64 alpha)) (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))))
(*.f64 (*.f64 (neg.f64 (log.f64 (pow.f64 alpha -1))) (PI.f64)) (/.f64 -1 (-.f64 1 alpha)))
(*.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (/.f64 -1 (+.f64 -1 alpha)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))
(*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))
(*.f64 (log.f64 (pow.f64 alpha -1)) (/.f64 (PI.f64) (-.f64 1 alpha)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 2) (pow.f64 (-.f64 1 alpha) 2))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 2)) (-.f64 1 alpha)))
(*.f64 (/.f64 -1 (+.f64 -1 alpha)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2))))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (cbrt.f64 (-.f64 1 alpha))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (-.f64 1 alpha))) (/.f64 (log.f64 (pow.f64 alpha -1)) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 alpha))) (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))))
(*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (-.f64 1 alpha))) (cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 alpha) 2) -1)))
(*.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(*.f64 1 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(*.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 1)
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)) (+.f64 0 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 0))) (-.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 0))
(*.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)) (*.f64 0 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)) 0)) (+.f64 0 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))))
(-.f64 (/.f64 0 (+.f64 -1 alpha)) (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(-.f64 0 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(-.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 0)
(-.f64 (-.f64 (/.f64 0 (+.f64 -1 alpha)) 0) (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (-.f64 1 alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))))
(/.f64 (*.f64 (neg.f64 (log.f64 (pow.f64 alpha -1))) (PI.f64)) (+.f64 -1 alpha))
(/.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (-.f64 1 alpha))) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)))
(/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (-.f64 1 alpha))
(/.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)) -1)
(/.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 1)
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)) 0) -1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 1)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 3))
(neg.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(if (!=.f64 (PI.f64) 0) (/.f64 (log.f64 (pow.f64 alpha -1)) (/.f64 (-.f64 1 alpha) (PI.f64))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (log.f64 (pow.f64 alpha -1)) 0) (/.f64 (PI.f64) (/.f64 (-.f64 1 alpha) (log.f64 (pow.f64 alpha -1)))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 0) (/.f64 -1 (/.f64 (/.f64 (+.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1)))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) (/.f64 (-.f64 1 alpha) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 2)))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 0) (/.f64 1 (/.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (-.f64 -1 (fma.f64 alpha alpha alpha)) 0) (*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 (pow.f64 alpha 3))) (-.f64 -1 (fma.f64 alpha alpha alpha))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (+.f64 (fma.f64 alpha alpha 1) alpha) 0) (*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (-.f64 1 (pow.f64 alpha 3))) (+.f64 (fma.f64 alpha alpha 1) alpha)) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 1 0) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(+.f64 0 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
Outputs
(/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 1 (log.f64 alpha)) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 (pow.f64 (pow.f64 alpha -1) -2) (log.f64 (pow.f64 alpha -1))) (PI.f64))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(/.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 1 (log.f64 alpha)) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 (log.f64 alpha) (PI.f64)))) (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 alpha) (PI.f64)))
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(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 alpha) (PI.f64)))
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(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 (pow.f64 (pow.f64 alpha -1) -2) (log.f64 (pow.f64 alpha -1))) (PI.f64))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 alpha -1) -2) 1) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 alpha (PI.f64)))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))
(neg.f64 (*.f64 (log.f64 alpha) (+.f64 (*.f64 alpha (PI.f64)) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 alpha (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 (*.f64 (neg.f64 (log.f64 alpha)) (+.f64 (*.f64 alpha (PI.f64)) (*.f64 (PI.f64) (pow.f64 alpha 2)))) (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 alpha (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 2) (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 alpha) (*.f64 (pow.f64 alpha 3) (PI.f64)))) (*.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))))))
(+.f64 (*.f64 (neg.f64 (log.f64 alpha)) (+.f64 (*.f64 alpha (PI.f64)) (*.f64 (PI.f64) (pow.f64 alpha 2)))) (neg.f64 (*.f64 (log.f64 alpha) (+.f64 (*.f64 (pow.f64 alpha 3) (PI.f64)) (PI.f64)))))
(*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)) alpha))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (neg.f64 alpha))
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(-.f64 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (/.f64 (pow.f64 alpha -1) alpha)) (neg.f64 (PI.f64))) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) alpha))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 alpha)) (*.f64 (pow.f64 (/.f64 1 alpha) 2) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)) alpha)) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(-.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (+.f64 (pow.f64 alpha -1) (pow.f64 (pow.f64 alpha 3) -1)))) (*.f64 (log.f64 (pow.f64 alpha -1)) (*.f64 (/.f64 (pow.f64 alpha -1) alpha) (PI.f64))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 alpha)) (*.f64 (pow.f64 (/.f64 1 alpha) 2) (PI.f64)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)) alpha)) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 alpha)) (*.f64 (pow.f64 (/.f64 1 alpha) 4) (PI.f64)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 alpha) 3) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))))
(-.f64 (+.f64 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (pow.f64 (pow.f64 alpha -1) 4)) (neg.f64 (PI.f64))) (neg.f64 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (+.f64 (pow.f64 alpha -1) (pow.f64 (pow.f64 alpha 3) -1))))) (*.f64 (log.f64 (pow.f64 alpha -1)) (*.f64 (/.f64 (pow.f64 alpha -1) alpha) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 2)))
(/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))
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(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 2) (pow.f64 (-.f64 1 alpha) 2))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)) (/.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2) (pow.f64 (-.f64 1 alpha) 2))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 2)) (-.f64 1 alpha)))
(/.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2))) (-.f64 1 alpha))
(*.f64 (/.f64 -1 (+.f64 -1 alpha)) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (-.f64 alpha 1)) (log.f64 (pow.f64 alpha -1))) 3)))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (cbrt.f64 (-.f64 1 alpha))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (cbrt.f64 (*.f64 (-.f64 1 alpha) (pow.f64 (-.f64 1 alpha) 2))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (-.f64 1 alpha))) (/.f64 (log.f64 (pow.f64 alpha -1)) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (cbrt.f64 (*.f64 (-.f64 1 alpha) (pow.f64 (-.f64 1 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 alpha))) (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 alpha))) (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)))
(*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (-.f64 1 alpha))) (cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 alpha) 2) -1)))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 alpha) 2) (-.f64 1 alpha))))
(*.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(*.f64 1 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 1)
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)) (+.f64 0 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 0))) (-.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 0))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(*.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)) (*.f64 0 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))))) (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 2)) 0)) (+.f64 0 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(-.f64 (/.f64 0 (+.f64 -1 alpha)) (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(-.f64 0 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(-.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 0)
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(-.f64 (-.f64 (/.f64 0 (+.f64 -1 alpha)) 0) (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (-.f64 1 alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 alpha) 2) (-.f64 1 alpha))))
(/.f64 (*.f64 (neg.f64 (log.f64 (pow.f64 alpha -1))) (PI.f64)) (+.f64 -1 alpha))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(/.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (cbrt.f64 (-.f64 1 alpha))) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)))
(/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 alpha) 2) (-.f64 1 alpha))))
(/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (-.f64 1 alpha))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(/.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)) -1)
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(/.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 1)
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)) 0) -1)
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) 3)
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 3) 1/3)
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 1)
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 3))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(neg.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))
(if (!=.f64 (PI.f64) 0) (/.f64 (log.f64 (pow.f64 alpha -1)) (/.f64 (-.f64 1 alpha) (PI.f64))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (PI.f64) 0) (/.f64 (log.f64 (pow.f64 alpha -1)) (/.f64 (-.f64 1 alpha) (PI.f64))) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)))
(if (!=.f64 (log.f64 (pow.f64 alpha -1)) 0) (/.f64 (PI.f64) (/.f64 (-.f64 1 alpha) (log.f64 (pow.f64 alpha -1)))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (log.f64 (pow.f64 alpha -1)) 0) (/.f64 (PI.f64) (/.f64 (-.f64 1 alpha) (log.f64 (pow.f64 alpha -1)))) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)))
(if (!=.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 0) (/.f64 -1 (/.f64 (/.f64 (+.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1)))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 0) (pow.f64 (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) -1) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1)))) (/.f64 (-.f64 1 alpha) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) 2)))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64))) (/.f64 (-.f64 1 alpha) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) 2)))) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)))
(if (!=.f64 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) 0) (/.f64 1 (/.f64 -1 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 alpha)))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)) 0) (/.f64 -1 (/.f64 (/.f64 -1 (PI.f64)) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)))) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)))
(if (!=.f64 (-.f64 -1 (fma.f64 alpha alpha alpha)) 0) (*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (+.f64 -1 (pow.f64 alpha 3))) (-.f64 -1 (fma.f64 alpha alpha alpha))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (-.f64 -1 (fma.f64 alpha alpha alpha)) 0) (/.f64 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 -1 (fma.f64 alpha alpha alpha))) (-.f64 (pow.f64 alpha 3) 1)) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)))
(if (!=.f64 (+.f64 (fma.f64 alpha alpha 1) alpha) 0) (*.f64 (/.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha -1))) (-.f64 1 (pow.f64 alpha 3))) (+.f64 (fma.f64 alpha alpha 1) alpha)) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 (-.f64 (fma.f64 alpha alpha alpha) -1) 0) (/.f64 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 (fma.f64 alpha alpha alpha) -1)) (-.f64 1 (pow.f64 alpha 3))) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)))
(if (!=.f64 1 0) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))) (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(if (!=.f64 1 0) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)) (*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)))
(+.f64 0 (*.f64 (PI.f64) (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha))))
(*.f64 (/.f64 (log.f64 (pow.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64))

eval1.4s (1%)

Compiler

Compiled 83245 to 53826 computations (35.3% saved)

prune701.0ms (0.5%)

Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New2226152241
Fresh11819
Picked101
Done178
Total2239302269
Error
0b
Counts
2269 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (*.f64 (PI.f64) 2))
0.4b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
0.8b
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
0.8b
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (*.f64 (sqrt.f64 2) (PI.f64))) (sqrt.f64 2))
38.9b
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
38.9b
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
0.4b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.5b
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
1.1b
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 1) 1) (*.f64 (PI.f64) 2))
0.6b
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
0.7b
(/.f64 (+.f64 (*.f64 alpha (+.f64 1 alpha)) (+.f64 (neg.f64 alpha) -1)) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
0.8b
(/.f64 (*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
0.9b
(/.f64 (*.f64 (/.f64 -1 (log.f64 (/.f64 1 alpha))) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
0.7b
(/.f64 (*.f64 (+.f64 alpha -1) (+.f64 1 alpha)) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
38.9b
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
38.9b
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha)))))
38.9b
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
38.9b
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
38.9b
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
0.8b
(*.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))
0.8b
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1/2 (log.f64 alpha)))
0.8b
(*.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (PI.f64)) (*.f64 1/2 (fma.f64 alpha alpha -1)))
1.0b
(*.f64 -1/2 (if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (/.f64 -1 (+.f64 -1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))))
1.1b
(*.f64 -1/2 (/.f64 (-.f64 (+.f64 (neg.f64 (pow.f64 alpha 2)) 4) 3) (*.f64 (log.f64 alpha) (PI.f64))))
0.8b
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha))))))
0.7b
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
0.8b
(*.f64 -1/2 (/.f64 (+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/3) 1/3) (*.f64 (log.f64 alpha) (PI.f64))))
0.9b
(*.f64 -1/2 (/.f64 (+.f64 (neg.f64 (fma.f64 alpha alpha 1)) 2) (*.f64 (log.f64 alpha) (PI.f64))))
0.9b
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 alpha) (+.f64 1 alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
1.0b
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 -1 alpha) (-.f64 1 alpha)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
Compiler

Compiled 502 to 394 computations (21.5% saved)

regimes146.0ms (0.1%)

Counts
71 → 1
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha)))))
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 alpha) (+.f64 1 alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 -1 alpha) (-.f64 1 alpha)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha))))))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (*.f64 (+.f64 alpha -1) (+.f64 1 alpha)) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (+.f64 (*.f64 alpha (+.f64 1 alpha)) (+.f64 (neg.f64 alpha) -1)) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1/2 (log.f64 alpha)))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (PI.f64) (log.f64 alpha)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (*.f64 (PI.f64) 2))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (PI.f64)) (*.f64 1/2 (fma.f64 alpha alpha -1)))
(/.f64 (*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
(*.f64 -1/2 (/.f64 (+.f64 (neg.f64 (fma.f64 alpha alpha 1)) 2) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 (+.f64 (neg.f64 (pow.f64 alpha 2)) 4) 3) (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 1 (+.f64 1 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (*.f64 (PI.f64) (log.f64 alpha)))))
(/.f64 (*.f64 (/.f64 -1 (log.f64 (/.f64 1 alpha))) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 1) 1) (*.f64 (PI.f64) 2))
(*.f64 -1/2 (/.f64 (+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/3) 1/3) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 (-.f64 (pow.f64 alpha 2) 1/2) 1/2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(*.f64 -1/2 (/.f64 (if (!=.f64 (*.f64 alpha alpha) 0) (*.f64 (*.f64 alpha alpha) (+.f64 1 (/.f64 -1 (*.f64 alpha alpha)))) (fma.f64 alpha alpha -1)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha 2))) (PI.f64))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha -1))) (/.f64 -1/2 (PI.f64)))
(*.f64 -1/2 (*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (pow.f64 alpha -1)))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1/2 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2))
(*.f64 -1/2 (if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))))
(*.f64 -1/2 (if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (/.f64 -1 (+.f64 -1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (*.f64 (*.f64 (PI.f64) 2) (/.f64 (log.f64 alpha) (fma.f64 alpha alpha -1)))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
(*.f64 -1/2 (/.f64 (if (!=.f64 (-.f64 1 (*.f64 alpha alpha)) 0) (/.f64 1 (pow.f64 (fma.f64 alpha alpha -1) -1)) (fma.f64 alpha alpha -1)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha))) (/.f64 (pow.f64 (/.f64 1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2)) 3)
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (*.f64 (sqrt.f64 2) (PI.f64))) (sqrt.f64 2))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64)))
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (-.f64 -1 (*.f64 cosTheta (*.f64 cosTheta (fma.f64 alpha alpha -1))))) (log.f64 (pow.f64 alpha 2))) (/.f64 -1 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1))) (*.f64 (log.f64 (pow.f64 alpha 2)) (-.f64 -1 (*.f64 cosTheta (*.f64 cosTheta (fma.f64 alpha alpha -1))))))
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 alpha 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64))))
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (-.f64 (*.f64 (*.f64 cosTheta alpha) (*.f64 cosTheta alpha)) (fma.f64 cosTheta cosTheta -1))))) (cbrt.f64 (/.f64 1/2 4)))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))) 3)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 2 (+.f64 (*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64))) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (log.f64 (pow.f64 alpha 2))) (PI.f64)))
(*.f64 (/.f64 (+.f64 alpha 1) (fma.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2) 1)) (/.f64 (+.f64 -1 alpha) (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2)))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 -1 alpha)) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (pow.f64 cosTheta 2) 1) (log.f64 (pow.f64 alpha 2))))
(+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 cosTheta (fma.f64 alpha alpha -1)) 2)) 1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 -2 (*.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (pow.f64 (pow.f64 alpha -1) -2)) (-.f64 1 (*.f64 cosTheta cosTheta))))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (/.f64 (+.f64 -1 alpha) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha)))) (PI.f64))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (if (!=.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 0) (pow.f64 (/.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) -1) (PI.f64)) -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3)) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1))) (pow.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 (pow.f64 alpha 2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 alpha 2)) 2))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) 0) (/.f64 (pow.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) -1) (/.f64 (PI.f64) (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1)) (log.f64 (*.f64 alpha alpha))))
Outputs
(/.f64 (fma.f64 alpha alpha -1) (*.f64 2 (+.f64 (*.f64 (*.f64 (*.f64 cosTheta cosTheta) (log.f64 alpha)) (*.f64 (*.f64 alpha alpha) (PI.f64))) (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))))
Calls

4 calls:

30.0ms
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
30.0ms
(*.f64 alpha alpha)
29.0ms
alpha
29.0ms
cosTheta
Results
ErrorSegmentsBranch
0.3b1cosTheta
0.3b1alpha
0.3b1(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.3b1(*.f64 alpha alpha)
Compiler

Compiled 1494 to 860 computations (42.4% saved)

regimes120.0ms (0.1%)

Counts
59 → 1
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha)))))
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 alpha) (+.f64 1 alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 -1 alpha) (-.f64 1 alpha)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha))))))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (*.f64 (+.f64 alpha -1) (+.f64 1 alpha)) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (+.f64 (*.f64 alpha (+.f64 1 alpha)) (+.f64 (neg.f64 alpha) -1)) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1/2 (log.f64 alpha)))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) 1/2) (*.f64 (PI.f64) (log.f64 alpha)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (*.f64 (PI.f64) 2))
(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (PI.f64)) (*.f64 1/2 (fma.f64 alpha alpha -1)))
(/.f64 (*.f64 (/.f64 1 (log.f64 alpha)) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
(*.f64 -1/2 (/.f64 (+.f64 (neg.f64 (fma.f64 alpha alpha 1)) 2) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 (pow.f64 alpha 2) 1) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 (+.f64 (neg.f64 (pow.f64 alpha 2)) 4) 3) (*.f64 (log.f64 alpha) (PI.f64))))
(-.f64 1 (+.f64 1 (/.f64 (*.f64 (fma.f64 alpha alpha -1) -1/2) (*.f64 (PI.f64) (log.f64 alpha)))))
(/.f64 (*.f64 (/.f64 -1 (log.f64 (/.f64 1 alpha))) (fma.f64 alpha alpha -1)) (*.f64 (PI.f64) 2))
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) 1) 1) (*.f64 (PI.f64) 2))
(*.f64 -1/2 (/.f64 (+.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1/3) 1/3) (*.f64 (log.f64 alpha) (PI.f64))))
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(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha 2))) (PI.f64))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (pow.f64 alpha -1))) (/.f64 -1/2 (PI.f64)))
(*.f64 -1/2 (*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (pow.f64 alpha -1)))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1/2 (/.f64 (*.f64 (PI.f64) (log.f64 alpha)) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2))
(*.f64 -1/2 (if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 (log.f64 (pow.f64 alpha -1)) (PI.f64)) (-.f64 1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))))
(*.f64 -1/2 (if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) (log.f64 (pow.f64 alpha -1))) (/.f64 -1 (+.f64 -1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (pow.f64 alpha -1)))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (*.f64 (*.f64 (PI.f64) 2) (/.f64 (log.f64 alpha) (fma.f64 alpha alpha -1)))) (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (PI.f64)) 2))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
(*.f64 -1/2 (/.f64 (if (!=.f64 (-.f64 1 (*.f64 alpha alpha)) 0) (/.f64 1 (pow.f64 (fma.f64 alpha alpha -1) -1)) (fma.f64 alpha alpha -1)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64))) (*.f64 (+.f64 (*.f64 (*.f64 cosTheta cosTheta) (fma.f64 alpha alpha -1)) 1) (log.f64 (*.f64 alpha alpha))))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha))) (/.f64 (pow.f64 (/.f64 1 cosTheta) 2) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 alpha)) 2)) 3)
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 alpha)) (*.f64 (sqrt.f64 2) (PI.f64))) (sqrt.f64 2))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64)))
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (-.f64 -1 (*.f64 cosTheta (*.f64 cosTheta (fma.f64 alpha alpha -1))))) (log.f64 (pow.f64 alpha 2))) (/.f64 -1 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1))) (*.f64 (log.f64 (pow.f64 alpha 2)) (-.f64 -1 (*.f64 cosTheta (*.f64 cosTheta (fma.f64 alpha alpha -1))))))
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 alpha 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64))))
(if (!=.f64 (+.f64 -1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (log.f64 (*.f64 alpha alpha))) (PI.f64)) (+.f64 -1 alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (*.f64 alpha alpha))) (*.f64 (fma.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta) 1) (PI.f64))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (PI.f64) (*.f64 (log.f64 alpha) (-.f64 (*.f64 (*.f64 cosTheta alpha) (*.f64 cosTheta alpha)) (fma.f64 cosTheta cosTheta -1))))) (cbrt.f64 (/.f64 1/2 4)))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (log.f64 (pow.f64 alpha 2))) 3)) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
Outputs
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
Calls

4 calls:

25.0ms
(*.f64 alpha alpha)
25.0ms
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
24.0ms
alpha
24.0ms
cosTheta
Results
ErrorSegmentsBranch
0.4b1cosTheta
0.4b1alpha
0.4b1(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
0.4b1(*.f64 alpha alpha)
Compiler

Compiled 1118 to 665 computations (40.5% saved)

regimes34.0ms (0%)

Counts
19 → 1
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha)))))
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 alpha) (+.f64 1 alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 -1 alpha) (-.f64 1 alpha)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha))))))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (*.f64 (+.f64 alpha -1) (+.f64 1 alpha)) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
(/.f64 (+.f64 (*.f64 alpha (+.f64 1 alpha)) (+.f64 (neg.f64 alpha) -1)) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
Outputs
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
Calls

3 calls:

10.0ms
cosTheta
9.0ms
alpha
9.0ms
(*.f64 alpha alpha)
Results
ErrorSegmentsBranch
0.5b1cosTheta
0.5b1alpha
0.5b1(*.f64 alpha alpha)
Compiler

Compiled 258 to 149 computations (42.2% saved)

regimes20.0ms (0%)

Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha)))))
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 -1/2 (*.f64 (*.f64 (log.f64 alpha) (-.f64 1 (*.f64 cosTheta cosTheta))) (PI.f64)))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (*.f64 (-.f64 1 (*.f64 cosTheta cosTheta)) (PI.f64)))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 alpha) (+.f64 1 alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
(*.f64 -1/2 (/.f64 (*.f64 (-.f64 -1 alpha) (-.f64 1 alpha)) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha))))))
Outputs
(*.f64 -1/2 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (log.f64 alpha) (PI.f64))))
Calls

2 calls:

8.0ms
cosTheta
8.0ms
alpha
Results
ErrorSegmentsBranch
0.7b1cosTheta
0.7b1alpha
Compiler

Compiled 166 to 106 computations (36.1% saved)

regimes14.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (PI.f64) (log.f64 alpha)))))
Outputs
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
Calls

2 calls:

6.0ms
alpha
6.0ms
cosTheta
Results
ErrorSegmentsBranch
38.9b1cosTheta
38.9b1alpha
Compiler

Compiled 84 to 58 computations (31% saved)

regimes11.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (PI.f64)) (log.f64 alpha))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
Outputs
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
Calls

2 calls:

5.0ms
alpha
5.0ms
cosTheta
Results
ErrorSegmentsBranch
38.9b1cosTheta
38.9b1alpha
Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes10.0ms (0%)

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

2 calls:

5.0ms
alpha
4.0ms
cosTheta
Results
ErrorSegmentsBranch
38.9b1cosTheta
38.9b1alpha
Compiler

Compiled 44 to 30 computations (31.8% saved)

regimes9.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
Calls

2 calls:

4.0ms
alpha
4.0ms
cosTheta
Results
ErrorSegmentsBranch
38.9b1cosTheta
38.9b1alpha
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify3.0ms (0%)

Stop Event
fuel
Compiler

Compiled 137 to 100 computations (27% saved)

soundness0.0ms (0%)

end55.0ms (0%)

Compiler

Compiled 123 to 68 computations (44.7% saved)

Profiling

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