Details

analyze45.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 (3%)

Results

1.5s

8256×

body

256

valid

Bogosity

preprocess211.0ms (0.4%)

Algorithm

2×

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 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 cosTheta (.f64 (fma.f64 alpha alpha -1) cosTheta) 1)))
(/.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 (/.f64 (fma.f64 cosTheta cosTheta -1) (log.f64 (.f64 cosTheta cosTheta))) (.f64 (fma.f64 (*.f64 (fma.f64 cosTheta cosTheta -1) alpha) alpha 1) (PI.f64)))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify87.0ms (0.2%)

Algorithm

1×

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 (PI.f64) (log.f64 (*.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

eval1.0ms (0%)

Compiler: Compiled 47 to 25 computations (46.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
▶	0.5b	(/.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))))

Status

Error

Program

▶

0.5b

(/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

▶

0.5b

(/.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 31 computations (36.7% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta)
✓	0.2b	(.f64 (-.f64 (.f64 alpha alpha) 1) cosTheta)
✓	0.3b	(.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))
✓	0.3b	(/.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 93 to 39 computations (58.1% saved)

series153.0ms (0.3%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
20.0ms	alpha	@	0	(.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))
10.0ms	alpha	@	inf	(.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))
2.0ms	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	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))))
2.0ms	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))))

Compiler

Compiled 11060 to 8695 computations (21.4% saved)

rewrite355.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

320×	`egg-rr`
64×	`egg-rr`
56×	`egg-rr`
35×	`egg-rr`

Counts

4 → 475

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))))
(.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))
(.f64 (-.f64 (.f64 alpha alpha) 1) cosTheta)
(.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 alpha (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (/.f64 alpha (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))) (/.f64 -1 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (PI.f64)) (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (/.f64 -1 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 alpha (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))) (/.f64 alpha (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (/.f64 -1 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)) 3))))))

simplify1.8s (3.6%)

Algorithm

1×

egglog

Counts

547 → 722

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 (+.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 -1/2 (.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
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(-.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))))))
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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 (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))))
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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) 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))))))
(+.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 (/.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 -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 (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))))))
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(+.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 (pow.f64 (/.f64 1 alpha) -2) cosTheta)
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(*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) 1))
(*.f64 (pow.f64 cosTheta 2) (-.f64 (pow.f64 alpha 2) 1))
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(*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (-.f64 (pow.f64 alpha 2) 1))
(*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (-.f64 (pow.f64 alpha 2) 1))
(*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (-.f64 (pow.f64 alpha 2) 1))
(*.f64 (pow.f64 (/.f64 1 cosTheta) -2) (-.f64 (pow.f64 alpha 2) 1))
(*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (-.f64 (pow.f64 alpha 2) 1))
(*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (-.f64 (pow.f64 alpha 2) 1))
(*.f64 (pow.f64 (/.f64 -1 cosTheta) -2) (-.f64 (pow.f64 alpha 2) 1))
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Outputs
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(.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (*.f64 cosTheta cosTheta)))
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(.f64 1 (.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)))
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(.f64 (.f64 (fma.f64 alpha alpha -1) (*.f64 cosTheta cosTheta)) 1)
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(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) 2)) (.f64 cosTheta (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))))
(.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta))
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(.f64 (+.f64 1 alpha) (.f64 (+.f64 alpha -1) (*.f64 cosTheta cosTheta)))
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(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) 2)) cosTheta) (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)))
(.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta))
(.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) (cbrt.f64 (.f64 cosTheta cosTheta))) (cbrt.f64 cosTheta))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 cosTheta cosTheta)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 cosTheta cosTheta)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 cosTheta cosTheta)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
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(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 cosTheta cosTheta))) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 cosTheta cosTheta)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta))) 3)
(.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta))
(pow.f64 (pow.f64 (.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta)) 3) 1/3)
(.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta))
(pow.f64 (.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta)) 1)
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(cbrt.f64 (pow.f64 (.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta)) 3))
(.f64 (fma.f64 alpha alpha -1) (.f64 cosTheta cosTheta))

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f64 (*.f64 alpha alpha))
✓	0.2b	(*.f64 (fma.f64 alpha alpha -1) cosTheta)
	0.3b	(.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))
✓	0.3b	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

Compiler

Compiled 76 to 33 computations (56.6% saved)

series141.0ms (0.3%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	0	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
1.0ms	alpha	@	inf	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
1.0ms	alpha	@	-inf	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
1.0ms	cosTheta	@	0	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
1.0ms	cosTheta	@	-inf	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

Compiler

Compiled 9560 to 7550 computations (21% saved)

rewrite232.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

238×	`egg-rr`
43×	`egg-rr`
15×	`egg-rr`

Counts

3 → 296

Calls

Call 1

Inputs
(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(log.f64 (*.f64 alpha alpha))

Inputs

(/.f64 (fma.f64 alpha alpha -1) (*.f64 (*.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

(*.f64 (fma.f64 alpha alpha -1) cosTheta)

(log.f64 (*.f64 alpha alpha))

Outputs
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (*.f64 alpha alpha)) 0) (/.f64 1 (/.f64 1 (log.f64 (*.f64 alpha alpha)))) (log.f64 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (log.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (*.f64 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 alpha alpha)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 alpha alpha)))) 2) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 alpha alpha))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2)) (cbrt.f64 (log.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 alpha alpha))))))

simplify822.0ms (1.6%)

Algorithm

1×

egglog

Counts

344 → 464

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 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (.f64 (log.f64 (.f64 alpha alpha)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (.f64 alpha alpha))) (.f64 (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (PI.f64))) 1) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
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(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1)
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(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3))
(fma.f64 (*.f64 alpha alpha) cosTheta (neg.f64 cosTheta))
(fma.f64 cosTheta (*.f64 alpha alpha) (neg.f64 cosTheta))
(if (!=.f64 (-.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta)) 0) (/.f64 (-.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta))) (-.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (+.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (-.f64 (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta)) (.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 cosTheta (.f64 alpha alpha)) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (-.f64 (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta)) (.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (.f64 cosTheta (.f64 alpha alpha)) 0) (/.f64 (+.f64 (pow.f64 (.f64 cosTheta (.f64 alpha alpha)) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (-.f64 (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta)) (.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))))) (.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (neg.f64 cosTheta) 0) (/.f64 (+.f64 (pow.f64 (.f64 cosTheta (.f64 alpha alpha)) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (-.f64 (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta)) (.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))))) (.f64 (fma.f64 alpha alpha -1) cosTheta))
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(+.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))
(+.f64 (neg.f64 cosTheta) (.f64 cosTheta (.f64 alpha alpha)))
(.f64 1 (.f64 (fma.f64 alpha alpha -1) cosTheta))
(.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) 1)
(.f64 (.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)) (cbrt.f64 (*.f64 cosTheta cosTheta)))
(.f64 (cbrt.f64 cosTheta) (.f64 (cbrt.f64 (*.f64 cosTheta cosTheta)) (fma.f64 alpha alpha -1)))
(.f64 -1 (neg.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)))
(.f64 (cbrt.f64 (.f64 cosTheta cosTheta)) (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)))
(.f64 (.f64 (cbrt.f64 (*.f64 cosTheta cosTheta)) (fma.f64 alpha alpha -1)) (cbrt.f64 cosTheta))
(.f64 (neg.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)) -1)
(.f64 (.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)) (cbrt.f64 cosTheta)) (cbrt.f64 cosTheta))
(.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)) 1) (cbrt.f64 (.f64 cosTheta cosTheta)))
(.f64 (cbrt.f64 (cbrt.f64 cosTheta)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 cosTheta)) 2) (.f64 (cbrt.f64 (.f64 cosTheta cosTheta)) (fma.f64 alpha alpha -1))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) 2) (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta))))
(.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) 2)) (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta)))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(*.f64 cosTheta (fma.f64 alpha alpha -1))
(.f64 (.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) cosTheta))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) cosTheta) (cbrt.f64 (fma.f64 alpha alpha -1)))
(.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) 2))
(.f64 (.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)) (pow.f64 (cbrt.f64 (cbrt.f64 cosTheta)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 cosTheta)) 2) 2))
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(.f64 (.f64 (*.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) 1) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (.f64 (*.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (fma.f64 alpha alpha -1)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) cosTheta)))
(/.f64 (.f64 cosTheta (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha))))
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(pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 3) 1/3)
(neg.f64 (neg.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 3))
(if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 1 (/.f64 1 (log.f64 (.f64 alpha alpha)))) (log.f64 (*.f64 alpha alpha)))
(.f64 1 (log.f64 (.f64 alpha alpha)))
(.f64 (log.f64 (.f64 alpha alpha)) 1)
(.f64 -1 (neg.f64 (log.f64 (.f64 alpha alpha))))
(.f64 (neg.f64 (log.f64 (.f64 alpha alpha))) -1)
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha)))) 2) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2))))
(.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (cbrt.f64 (log.f64 (*.f64 alpha alpha))))
(/.f64 (log.f64 (*.f64 alpha alpha)) 1)
(pow.f64 (log.f64 (*.f64 alpha alpha)) 1)
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(pow.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3) 1/3)
(neg.f64 (neg.f64 (log.f64 (*.f64 alpha alpha))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3))
(log.f64 (*.f64 alpha alpha))

Outputs
(/.f64 -1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(/.f64 -1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (neg.f64 (*.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 (neg.f64 (.f64 cosTheta cosTheta))) (PI.f64)))) (/.f64 (.f64 -1/2 (.f64 cosTheta cosTheta)) (.f64 (log.f64 alpha) (.f64 (pow.f64 (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))) 2) (PI.f64))))) (.f64 alpha alpha) (neg.f64 (/.f64 1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (neg.f64 (.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 (fma.f64 (-.f64 (/.f64 1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))) (PI.f64)))) (/.f64 (.f64 -1/2 (.f64 cosTheta cosTheta)) (.f64 (log.f64 alpha) (.f64 (pow.f64 (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))) 2) (PI.f64))))) (.f64 alpha alpha) (neg.f64 (/.f64 (.f64 (.f64 cosTheta cosTheta) (.f64 (-.f64 (/.f64 1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))) (PI.f64)))) (/.f64 (.f64 -1/2 (.f64 cosTheta cosTheta)) (.f64 (log.f64 alpha) (.f64 (pow.f64 (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))) 2) (PI.f64))))) (pow.f64 alpha 4))) (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta)))))) (/.f64 1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))) (PI.f64)))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(neg.f64 (.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1))
(neg.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64))
(fma.f64 (*.f64 alpha alpha) cosTheta (neg.f64 cosTheta))
(fma.f64 cosTheta (*.f64 alpha alpha) (neg.f64 cosTheta))
(fma.f64 (*.f64 alpha alpha) cosTheta (neg.f64 cosTheta))
(if (!=.f64 (-.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta)) 0) (/.f64 (-.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta))) (-.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (fma.f64 cosTheta (.f64 alpha alpha) (neg.f64 (neg.f64 cosTheta))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 cosTheta alpha) alpha) 2) (.f64 cosTheta cosTheta)) (fma.f64 cosTheta (.f64 alpha alpha) (neg.f64 (neg.f64 cosTheta)))) (.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (+.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (-.f64 (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta)) (.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 cosTheta (.f64 alpha alpha)) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (-.f64 (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta)) (.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (.f64 cosTheta alpha) alpha) 2) (.f64 (neg.f64 cosTheta) (-.f64 (neg.f64 cosTheta) (.f64 (.f64 cosTheta alpha) alpha)))) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 cosTheta 3)) (pow.f64 (.f64 (.f64 cosTheta alpha) alpha) 3)) (+.f64 (pow.f64 (.f64 (.f64 cosTheta alpha) alpha) 2) (.f64 (neg.f64 cosTheta) (-.f64 (neg.f64 cosTheta) (.f64 (.f64 cosTheta alpha) alpha))))) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (.f64 cosTheta (.f64 alpha alpha)) 0) (/.f64 (+.f64 (pow.f64 (.f64 cosTheta (.f64 alpha alpha)) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (-.f64 (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta)) (.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))))) (.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (.f64 (.f64 cosTheta alpha) alpha) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 cosTheta 3)) (pow.f64 (.f64 (.f64 cosTheta alpha) alpha) 3)) (+.f64 (pow.f64 (.f64 (.f64 cosTheta alpha) alpha) 2) (.f64 (neg.f64 cosTheta) (-.f64 (neg.f64 cosTheta) (.f64 (.f64 cosTheta alpha) alpha))))) (.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (neg.f64 cosTheta) 0) (/.f64 (+.f64 (pow.f64 (.f64 cosTheta (.f64 alpha alpha)) 3) (pow.f64 (neg.f64 cosTheta) 3)) (+.f64 (.f64 (.f64 cosTheta (.f64 alpha alpha)) (.f64 cosTheta (.f64 alpha alpha))) (-.f64 (.f64 (neg.f64 cosTheta) (neg.f64 cosTheta)) (.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))))) (.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (neg.f64 cosTheta) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 cosTheta 3)) (pow.f64 (.f64 (.f64 cosTheta alpha) alpha) 3)) (+.f64 (pow.f64 (.f64 (.f64 cosTheta alpha) alpha) 2) (.f64 (neg.f64 cosTheta) (-.f64 (neg.f64 cosTheta) (.f64 (.f64 cosTheta alpha) alpha))))) (.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) 0) (/.f64 1 (pow.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) -1)) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(if (!=.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) 0) (pow.f64 (/.f64 1 (.f64 (fma.f64 alpha alpha -1) cosTheta)) -1) (*.f64 (fma.f64 alpha alpha -1) cosTheta))
(+.f64 (.f64 cosTheta (.f64 alpha alpha)) (neg.f64 cosTheta))
(fma.f64 (*.f64 alpha alpha) cosTheta (neg.f64 cosTheta))
(+.f64 (neg.f64 cosTheta) (.f64 cosTheta (.f64 alpha alpha)))
(fma.f64 (*.f64 alpha alpha) cosTheta (neg.f64 cosTheta))
(.f64 1 (.f64 (fma.f64 alpha alpha -1) cosTheta))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) 1)
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(.f64 (.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)) (cbrt.f64 (*.f64 cosTheta cosTheta)))
(.f64 (.f64 (cbrt.f64 cosTheta) (cbrt.f64 (*.f64 cosTheta cosTheta))) (fma.f64 alpha alpha -1))
(.f64 (cbrt.f64 cosTheta) (.f64 (cbrt.f64 (*.f64 cosTheta cosTheta)) (fma.f64 alpha alpha -1)))
(.f64 (.f64 (cbrt.f64 cosTheta) (cbrt.f64 (*.f64 cosTheta cosTheta))) (fma.f64 alpha alpha -1))
(.f64 -1 (neg.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(.f64 (cbrt.f64 (.f64 cosTheta cosTheta)) (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)))
(.f64 (.f64 (cbrt.f64 cosTheta) (cbrt.f64 (*.f64 cosTheta cosTheta))) (fma.f64 alpha alpha -1))
(.f64 (.f64 (cbrt.f64 (*.f64 cosTheta cosTheta)) (fma.f64 alpha alpha -1)) (cbrt.f64 cosTheta))
(.f64 (.f64 (cbrt.f64 cosTheta) (cbrt.f64 (*.f64 cosTheta cosTheta))) (fma.f64 alpha alpha -1))
(.f64 (neg.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)) -1)
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(.f64 (.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)) (cbrt.f64 cosTheta)) (cbrt.f64 cosTheta))
(.f64 (.f64 (cbrt.f64 cosTheta) (cbrt.f64 (*.f64 cosTheta cosTheta))) (fma.f64 alpha alpha -1))
(.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)) 1) (cbrt.f64 (.f64 cosTheta cosTheta)))
(.f64 (.f64 (cbrt.f64 cosTheta) (cbrt.f64 (*.f64 cosTheta cosTheta))) (fma.f64 alpha alpha -1))
(.f64 (cbrt.f64 (cbrt.f64 cosTheta)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 cosTheta)) 2) (.f64 (cbrt.f64 (.f64 cosTheta cosTheta)) (fma.f64 alpha alpha -1))))
(.f64 (.f64 (cbrt.f64 cosTheta) (cbrt.f64 (*.f64 cosTheta cosTheta))) (fma.f64 alpha alpha -1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) 2) (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) 2)) (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta)))
(.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 2)))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) 2)) (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta)))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(*.f64 cosTheta (fma.f64 alpha alpha -1))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(.f64 (.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) cosTheta))
(.f64 (.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))))
(.f64 (.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) cosTheta) (cbrt.f64 (fma.f64 alpha alpha -1)))
(.f64 (.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) 2))
(.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta))) 2) 2)))
(.f64 (.f64 (*.f64 (fma.f64 alpha alpha -1) (cbrt.f64 cosTheta)) (pow.f64 (cbrt.f64 (cbrt.f64 cosTheta)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 cosTheta)) 2) 2))
(.f64 (.f64 (*.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) 2))
(.f64 (.f64 (*.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) 1) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (.f64 (*.f64 cosTheta (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (fma.f64 alpha alpha -1)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) cosTheta)))
(/.f64 (.f64 cosTheta (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha))))
(/.f64 (.f64 cosTheta (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (pow.f64 alpha 4) (+.f64 1 (.f64 alpha alpha))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 1)
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) cosTheta) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha))))
(/.f64 (.f64 cosTheta (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (pow.f64 alpha 4) (+.f64 1 (.f64 alpha alpha))))
(pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 1)
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta)) 3)
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(pow.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 3) 1/3)
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(neg.f64 (neg.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta)))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) 3))
(*.f64 (fma.f64 alpha alpha -1) cosTheta)
(if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 1 (/.f64 1 (log.f64 (.f64 alpha alpha)))) (log.f64 (*.f64 alpha alpha)))
(.f64 1 (log.f64 (.f64 alpha alpha)))
(log.f64 (*.f64 alpha alpha))
(.f64 (log.f64 (.f64 alpha alpha)) 1)
(log.f64 (*.f64 alpha alpha))
(.f64 -1 (neg.f64 (log.f64 (.f64 alpha alpha))))
(log.f64 (*.f64 alpha alpha))
(.f64 (neg.f64 (log.f64 (.f64 alpha alpha))) -1)
(log.f64 (*.f64 alpha alpha))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha)))) 2) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2))))
(log.f64 (*.f64 alpha alpha))
(.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2)))
(log.f64 (*.f64 alpha alpha))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (cbrt.f64 (log.f64 (*.f64 alpha alpha))))
(log.f64 (*.f64 alpha alpha))
(/.f64 (log.f64 (*.f64 alpha alpha)) 1)
(log.f64 (*.f64 alpha alpha))
(pow.f64 (log.f64 (*.f64 alpha alpha)) 1)
(log.f64 (*.f64 alpha alpha))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 alpha alpha))) 3)
(log.f64 (*.f64 alpha alpha))
(pow.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3) 1/3)
(log.f64 (*.f64 alpha alpha))
(neg.f64 (neg.f64 (log.f64 (*.f64 alpha alpha))))
(log.f64 (*.f64 alpha alpha))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3))
(log.f64 (*.f64 alpha alpha))
(log.f64 (*.f64 alpha alpha))

eval1.1s (2.3%)

Compiler: Compiled 52596 to 27160 computations (48.4% saved)

prune379.0ms (0.8%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1201	25	1226
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	1202	26	1228

Error

Counts

1228 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64)))
	0.6b	(if (!=.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 0) (/.f64 (/.f64 (+.f64 1 alpha) (log.f64 (.f64 alpha alpha))) (/.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (/.f64 (+.f64 alpha -1) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
	0.6b	(if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
	0.5b	(fma.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha alpha) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (/.f64 -1 (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
	0.9b	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (fma.f64 (neg.f64 cosTheta) cosTheta 1)))
	0.7b	(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 3))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
▶	0.5b	(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64))) (log.f64 (*.f64 alpha alpha)))
▶	0.5b	(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64))
	0.5b	(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))
	0.6b	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
	1.2b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))) 3) (+.f64 1 (.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
	0.8b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (PI.f64)) (cbrt.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 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
	0.9b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
▶	1.0b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
	0.7b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) 3)) (+.f64 1 (.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
	0.6b	(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))) (+.f64 alpha -1)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))
	0.6b	(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (PI.f64)) (+.f64 alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
	0.6b	(/.f64 (.f64 (/.f64 1 (PI.f64)) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
▶	0.7b	(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (.f64 alpha alpha)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
▶	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (PI.f64))
	0.5b	(.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1 (PI.f64)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
	0.6b	(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (/.f64 (+.f64 alpha -1) (PI.f64)))
	0.6b	(.f64 (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (+.f64 1 alpha))
	0.6b	(.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (/.f64 (+.f64 1 alpha) (PI.f64)))

Compiler

Compiled 1552 to 1014 computations (34.7% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log.f64 (*.f64 alpha alpha))
	0.2b	(*.f64 (fma.f64 alpha alpha -1) cosTheta)
✓	0.3b	(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
✓	0.4b	(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64))

Compiler

Compiled 87 to 42 computations (51.7% saved)

series164.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	-inf	(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64))
1.0ms	alpha	@	inf	(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
1.0ms	alpha	@	0	(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
1.0ms	alpha	@	-inf	(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
1.0ms	cosTheta	@	0	(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

Compiler

Compiled 15715 to 12810 computations (18.5% saved)

rewrite282.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

218×	`egg-rr`
164×	`egg-rr`

Counts

2 → 382

Calls

Call 1

Inputs
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

Inputs

(/.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64))

(/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

Outputs
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Outputs

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simplify1.1s (2.3%)

Algorithm

1×

egglog

Counts

430 → 615

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))))))
(-.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 -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))))))
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(/.f64 -1/2 (.f64 (pow.f64 cosTheta 2) (.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))
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(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (cbrt.f64 (log.f64 (*.f64 alpha alpha))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2)))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) -1) -1)
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 2) 2))
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(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)) (log.f64 (.f64 alpha alpha))))
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(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) -1)
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
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(/.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) 1) (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
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(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 3)
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3))

Outputs
(/.f64 -1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(/.f64 -1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (neg.f64 (*.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))))))
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(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (log.f64 (.f64 alpha alpha))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (.f64 alpha alpha)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 (+.f64 (pow.f64 alpha 4) 1) (*.f64 alpha alpha))))
(/.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) 1) (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (cbrt.f64 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) 1) (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (.f64 alpha alpha))) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 (+.f64 (pow.f64 alpha 4) 1) (*.f64 alpha alpha))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (cbrt.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (log.f64 (.f64 alpha alpha))))) (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (.f64 alpha alpha))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (cbrt.f64 (/.f64 (/.f64 1 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (log.f64 (.f64 alpha alpha))))) (.f64 (+.f64 (+.f64 (pow.f64 alpha 4) 1) (.f64 alpha alpha)) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) -1) (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (.f64 alpha alpha))) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) -1) (+.f64 (+.f64 (pow.f64 alpha 4) 1) (.f64 alpha alpha))) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (/.f64 1 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (.f64 alpha alpha))) (log.f64 (.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 (+.f64 (pow.f64 alpha 4) 1) (*.f64 alpha alpha))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (log.f64 (.f64 alpha alpha))) (+.f64 (+.f64 (pow.f64 alpha 4) 1) (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))
(/.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (.f64 alpha alpha)))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (.f64 (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
(/.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (.f64 alpha alpha))) (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)) (log.f64 (.f64 alpha alpha))))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (neg.f64 (log.f64 (.f64 alpha alpha))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3) 1/3)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 3)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (*.f64 alpha alpha) 1)
	0.1b	(log.f64 (*.f64 alpha alpha))
✓	0.3b	(.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))
✓	0.3b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series29.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	alpha	@	inf	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
1.0ms	alpha	@	0	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
0.0ms	alpha	@	-inf	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
0.0ms	alpha	@	-inf	(-.f64 (*.f64 alpha alpha) 1)
0.0ms	alpha	@	inf	(.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))

Compiler

Compiled 2000 to 1465 computations (26.8% saved)

rewrite211.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`egg-rr`
110×	`egg-rr`
48×	`egg-rr`

Counts

3 → 415

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))
(-.f64 (*.f64 alpha alpha) 1)

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 3) -1) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (+.f64 1 (pow.f64 (*.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 alpha alpha) 3)) 1) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 alpha alpha -1) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 alpha alpha -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 alpha alpha) 3) -1) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 3) -1) (*.f64 (+.f64 1 (*.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 3) -1) 1) (*.f64 (+.f64 (+.f64 1 (pow.f64 (*.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 2)) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 alpha alpha) 3) -1) (+.f64 1 (-.f64 (pow.f64 (*.f64 alpha alpha) 2) (neg.f64 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 alpha alpha -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fma.f64 alpha alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3))))))

simplify1.0s (2.1%)

Algorithm

1×

egglog

Counts

439 → 569

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 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
-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)
(fma.f64 (.f64 alpha alpha) (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 1 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 alpha (PI.f64)) (/.f64 alpha (log.f64 (.f64 alpha alpha))) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 alpha (/.f64 (/.f64 alpha (PI.f64)) (log.f64 (.f64 alpha alpha))) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (/.f64 (.f64 alpha alpha) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 alpha (log.f64 (.f64 alpha alpha))) (/.f64 alpha (PI.f64)) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (cbrt.f64 (.f64 alpha alpha)) (/.f64 (/.f64 (.f64 alpha (cbrt.f64 alpha)) (PI.f64)) (log.f64 (.f64 alpha alpha))) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 alpha alpha)) (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha (cbrt.f64 alpha)) (PI.f64)) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha alpha) (PI.f64)) (/.f64 -1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (cbrt.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2)) (/.f64 -1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 1 (PI.f64)) (/.f64 (.f64 alpha alpha) (log.f64 (.f64 alpha alpha))) (/.f64 -1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 alpha (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (/.f64 alpha (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))) (/.f64 -1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 (cbrt.f64 (.f64 alpha alpha)) (PI.f64)) (/.f64 (.f64 alpha (cbrt.f64 alpha)) (log.f64 (.f64 alpha alpha))) (/.f64 -1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha 1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2) (pow.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2)) (/.f64 (fma.f64 alpha alpha 1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3) (pow.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3)) (+.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2) (.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (fma.f64 alpha alpha 1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3) (pow.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3)) (+.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2) (.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (fma.f64 alpha alpha 1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2) (.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (fma.f64 alpha alpha 1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3) (pow.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3)) (+.f64 (pow.f64 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2) (.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (fma.f64 alpha alpha 1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 1 0) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (+.f64 alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 -1 (/.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
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(.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 (.f64 alpha alpha))))
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(/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 1)
(/.f64 (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) -1) -1)
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) -1)
(pow.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3)
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 1)
(neg.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3))
(fma.f64 alpha alpha -1)
(fma.f64 (cbrt.f64 (.f64 alpha alpha)) (.f64 alpha (cbrt.f64 alpha)) -1)
(fma.f64 1 (*.f64 alpha alpha) -1)
(fma.f64 -1 1 (*.f64 alpha alpha))
(fma.f64 1 -1 (*.f64 alpha alpha))
(fma.f64 (.f64 alpha (cbrt.f64 alpha)) (cbrt.f64 (.f64 alpha alpha)) -1)
(fma.f64 (cbrt.f64 alpha) (.f64 (cbrt.f64 (.f64 alpha alpha)) alpha) -1)
(fma.f64 (*.f64 alpha alpha) 1 -1)
(fma.f64 0 3 (fma.f64 alpha alpha -1))
(fma.f64 0 0 (fma.f64 alpha alpha -1))
(fma.f64 0 1 (fma.f64 alpha alpha -1))
(fma.f64 1 0 (fma.f64 alpha alpha -1))
(if (!=.f64 (*.f64 alpha alpha) 0) (fma.f64 alpha alpha -1) (fma.f64 alpha alpha -1))
(if (!=.f64 1 0) (fma.f64 alpha alpha -1) (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 1 alpha) 0) (/.f64 (+.f64 alpha -1) (/.f64 1 (+.f64 1 alpha))) (fma.f64 alpha alpha -1))
(if (!=.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (/.f64 1 (cbrt.f64 (fma.f64 alpha alpha -1)))) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 alpha -1))) (fma.f64 alpha alpha -1))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 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 alpha alpha) 3) -1) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))) (fma.f64 alpha alpha -1))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 -1 (/.f64 1 (neg.f64 (fma.f64 alpha alpha -1)))) (fma.f64 alpha alpha -1))
(if (!=.f64 (-.f64 -1 (.f64 alpha alpha)) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 2)) (-.f64 -1 (*.f64 alpha alpha))) (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 (/.f64 (pow.f64 (.f64 alpha alpha) 3) (+.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 (.f64 (/.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (.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 (.f64 alpha alpha) 3) (+.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 (fma.f64 alpha alpha -1) 0) (/.f64 1 (pow.f64 (fma.f64 alpha alpha -1) -1)) (fma.f64 alpha alpha -1))
(if (!=.f64 (fma.f64 alpha alpha 1) 0) (/.f64 (fma.f64 (pow.f64 alpha 3) alpha -1) (fma.f64 alpha alpha 1)) (fma.f64 alpha alpha -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) 0) (fma.f64 alpha alpha -1) (fma.f64 alpha alpha -1))
(if (!=.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 alpha alpha) 2) (neg.f64 (.f64 alpha alpha)))) 0) (fma.f64 alpha alpha -1) (fma.f64 alpha alpha -1))
(+.f64 (*.f64 alpha alpha) -1)
(+.f64 -1 (*.f64 alpha alpha))
(+.f64 0 (fma.f64 alpha alpha -1))
(+.f64 (.f64 (+.f64 1 alpha) alpha) (.f64 (+.f64 1 alpha) -1))
(+.f64 (+.f64 alpha -1) (*.f64 (+.f64 alpha -1) alpha))
(+.f64 (*.f64 (+.f64 alpha -1) alpha) (+.f64 alpha -1))
(+.f64 (*.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha)))
(+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1)))
(+.f64 (*.f64 alpha (+.f64 alpha -1)) (+.f64 alpha -1))
(+.f64 (/.f64 (pow.f64 (.f64 alpha alpha) 3) (+.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 (/.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(-.f64 (*.f64 alpha alpha) 1)
(-.f64 0 (neg.f64 (fma.f64 alpha alpha -1)))
(-.f64 (+.f64 (*.f64 alpha alpha) 0) 1)
(-.f64 (-.f64 0 (neg.f64 (*.f64 alpha alpha))) 1)
(-.f64 -1 (neg.f64 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1) (/.f64 (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(*.f64 (+.f64 1 alpha) (+.f64 alpha -1))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(*.f64 (+.f64 alpha -1) (+.f64 1 alpha))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (cbrt.f64 (fma.f64 alpha alpha -1)))
(.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(*.f64 -1 (neg.f64 (fma.f64 alpha alpha -1)))
(*.f64 1 (fma.f64 alpha alpha -1))
(*.f64 (fma.f64 alpha alpha -1) 1)
(.f64 (/.f64 1 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) -1))
(*.f64 (neg.f64 (fma.f64 alpha alpha -1)) -1)
(*.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 1 alpha))
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))))
(.f64 (.f64 (+.f64 alpha -1) (cbrt.f64 (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))
(.f64 (.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha -1))) (pow.f64 (cbrt.f64 (+.f64 alpha -1)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (cbrt.f64 (+.f64 1 alpha))) (cbrt.f64 (+.f64 alpha -1)))
(.f64 (.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) 2))
(.f64 (cbrt.f64 (+.f64 alpha -1)) (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha -1)) 2) (+.f64 1 alpha)))
(.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha -1)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))))
(.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 (cbrt.f64 (+.f64 alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) 2) (cbrt.f64 (fma.f64 alpha alpha -1))))
(.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (.f64 (fma.f64 alpha alpha -1) (/.f64 1 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) 2) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 1 (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(.f64 (+.f64 (.f64 alpha (cbrt.f64 alpha)) (-.f64 1 (.f64 (cbrt.f64 (.f64 alpha alpha)) -1))) (+.f64 (cbrt.f64 (*.f64 alpha alpha)) -1))
(.f64 (+.f64 1 (-.f64 (.f64 alpha (cbrt.f64 alpha)) (neg.f64 (cbrt.f64 (.f64 alpha alpha))))) (+.f64 -1 (cbrt.f64 (.f64 alpha alpha))))
(.f64 (+.f64 (.f64 alpha (cbrt.f64 alpha)) (+.f64 1 (cbrt.f64 (.f64 alpha alpha)))) (-.f64 (cbrt.f64 (.f64 alpha alpha)) 1))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (fma.f64 alpha alpha -1) 1)
(/.f64 (*.f64 (+.f64 alpha -1) (+.f64 (pow.f64 alpha 3) 1)) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) (+.f64 1 alpha)) (+.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) (+.f64 alpha -1)) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (/.f64 1 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) 1) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) -1) -1)
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) -1)
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (cbrt.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (+.f64 (fma.f64 alpha alpha 1) alpha) (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) 1) (.f64 (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) 1) (.f64 (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 2)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 1 (-.f64 (pow.f64 (.f64 alpha alpha) 2) (neg.f64 (*.f64 alpha alpha)))))
(pow.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) 3)
(pow.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) 1/3)
(pow.f64 (fma.f64 alpha alpha -1) 1)
(neg.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0))
(neg.f64 (neg.f64 (fma.f64 alpha alpha -1)))
(cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3))

Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
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(.f64 (.f64 (+.f64 alpha -1) (cbrt.f64 (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))
(*.f64 (+.f64 alpha -1) (+.f64 1 alpha))
(.f64 (.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 alpha -1))) (pow.f64 (cbrt.f64 (+.f64 alpha -1)) 2))
(*.f64 (+.f64 alpha -1) (+.f64 1 alpha))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (cbrt.f64 (fma.f64 alpha alpha -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (cbrt.f64 (+.f64 1 alpha))) (cbrt.f64 (+.f64 alpha -1)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 alpha alpha -1) 2) (+.f64 1 alpha))) (cbrt.f64 (+.f64 alpha -1)))
(.f64 (.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) 2))
(.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) 2)))
(.f64 (cbrt.f64 (+.f64 alpha -1)) (.f64 (pow.f64 (cbrt.f64 (+.f64 alpha -1)) 2) (+.f64 1 alpha)))
(*.f64 (+.f64 alpha -1) (+.f64 1 alpha))
(.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha -1)))
(*.f64 (+.f64 alpha -1) (+.f64 1 alpha))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))))
(.f64 (cbrt.f64 (+.f64 1 alpha)) (.f64 (cbrt.f64 (+.f64 alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))))
(.f64 (cbrt.f64 (+.f64 1 alpha)) (cbrt.f64 (.f64 (+.f64 alpha -1) (pow.f64 (fma.f64 alpha alpha -1) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) 2) (cbrt.f64 (fma.f64 alpha alpha -1))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) 2)) (cbrt.f64 (fma.f64 alpha alpha -1)))
(.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (.f64 (fma.f64 alpha alpha -1) (/.f64 1 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (/.f64 (fma.f64 alpha alpha -1) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) 2) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) 2) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 1 (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(.f64 (+.f64 (.f64 alpha (cbrt.f64 alpha)) (-.f64 1 (.f64 (cbrt.f64 (.f64 alpha alpha)) -1))) (+.f64 (cbrt.f64 (*.f64 alpha alpha)) -1))
(.f64 (fma.f64 alpha (cbrt.f64 alpha) (-.f64 1 (neg.f64 (cbrt.f64 (.f64 alpha alpha))))) (+.f64 (cbrt.f64 (*.f64 alpha alpha)) -1))
(.f64 (+.f64 1 (-.f64 (.f64 alpha (cbrt.f64 alpha)) (neg.f64 (cbrt.f64 (.f64 alpha alpha))))) (+.f64 -1 (cbrt.f64 (.f64 alpha alpha))))
(.f64 (-.f64 (+.f64 1 (.f64 alpha (cbrt.f64 alpha))) (neg.f64 (cbrt.f64 (.f64 alpha alpha)))) (+.f64 (cbrt.f64 (.f64 alpha alpha)) -1))
(.f64 (+.f64 (.f64 alpha (cbrt.f64 alpha)) (+.f64 1 (cbrt.f64 (.f64 alpha alpha)))) (-.f64 (cbrt.f64 (.f64 alpha alpha)) 1))
(.f64 (fma.f64 alpha (cbrt.f64 alpha) (+.f64 1 (cbrt.f64 (.f64 alpha alpha)))) (-.f64 (cbrt.f64 (*.f64 alpha alpha)) 1))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (fma.f64 alpha alpha -1) 1)
(fma.f64 alpha alpha -1)
(/.f64 (*.f64 (+.f64 alpha -1) (+.f64 (pow.f64 alpha 3) 1)) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) (+.f64 1 alpha)) (+.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) (+.f64 alpha -1)) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (+.f64 alpha -1) (+.f64 (pow.f64 alpha 3) 1)) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (/.f64 1 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) 1) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) -1) -1)
(fma.f64 alpha alpha -1)
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) -1)
(fma.f64 alpha alpha -1)
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (cbrt.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (fma.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (pow.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) 2))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (+.f64 (fma.f64 alpha alpha 1) alpha) (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (+.f64 (fma.f64 alpha alpha 1) alpha) (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) 1) (.f64 (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) 1) (.f64 (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 2)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (*.f64 alpha alpha) 3) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 1 (-.f64 (pow.f64 (.f64 alpha alpha) 2) (neg.f64 (*.f64 alpha alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (-.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 2)) (neg.f64 (*.f64 alpha alpha))))
(pow.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) 3)
(fma.f64 alpha alpha -1)
(pow.f64 (pow.f64 (fma.f64 alpha alpha -1) 3) 1/3)
(fma.f64 alpha alpha -1)
(pow.f64 (fma.f64 alpha alpha -1) 1)
(fma.f64 alpha alpha -1)
(neg.f64 (-.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0))
(fma.f64 alpha alpha -1)
(neg.f64 (neg.f64 (fma.f64 alpha alpha -1)))
(fma.f64 alpha alpha -1)
(cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 3))
(fma.f64 alpha alpha -1)

localize75.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (fma.f64 alpha alpha -1) cosTheta)
✓	0.3b	(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
✓	0.4b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (PI.f64))
✓	0.4b	(.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))

Compiler

Compiled 117 to 61 computations (47.9% saved)

series560.0ms (1.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	alpha	@	inf	(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
2.0ms	cosTheta	@	0	(.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
2.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (PI.f64))
2.0ms	alpha	@	-inf	(.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
1.0ms	cosTheta	@	inf	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (PI.f64))

Compiler

Compiled 25160 to 20385 computations (19% saved)

rewrite476.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`egg-rr`
236×	`egg-rr`
138×	`egg-rr`

Counts

3 → 649

Calls

Call 1

Inputs

(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))

(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (PI.f64))

(/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) alpha (/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (/.f64 (+.f64 alpha -1) (log.f64 (*.f64 alpha alpha))) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 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(/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (+.f64 alpha -1) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (/.f64 (+.f64 alpha -1) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 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simplify3.2s (6.5%)

Algorithm

1×

egglog

Counts

721 → 1022

Calls

Call 1

Inputs
(/.f64 -1/2 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))
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(/.f64 (/.f64 (-.f64 1 alpha) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (log.f64 (.f64 alpha alpha))))
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(/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 1 (fma.f64 alpha alpha alpha))) 1))
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(/.f64 (neg.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
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(pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 3)
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Outputs
(/.f64 -1/2 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))
(/.f64 -1/2 (.f64 (log.f64 alpha) (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta)))))
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(fma.f64 (-.f64 (/.f64 1/2 (.f64 (log.f64 alpha) (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))))) (/.f64 (.f64 -1/2 (.f64 cosTheta cosTheta)) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))) 2)))) (.f64 alpha alpha) (neg.f64 (/.f64 1/2 (.f64 (log.f64 alpha) (+.f64 1 (neg.f64 (*.f64 cosTheta cosTheta)))))))
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(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))
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(/.f64 (/.f64 (+.f64 alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (cbrt.f64 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)))
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(/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
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(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
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(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (+.f64 alpha -1) (.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (cbrt.f64 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (/.f64 (+.f64 alpha -1) -1) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (/.f64 (+.f64 alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (cbrt.f64 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)) (log.f64 (.f64 alpha alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) -1) -1)
(/.f64 (/.f64 (+.f64 alpha -1) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) -1)
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 1 (fma.f64 alpha alpha alpha))) 1))
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(/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 1 (fma.f64 alpha alpha alpha))))
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(/.f64 (-.f64 1 (pow.f64 alpha 3)) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 3) -1) (.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 1 (fma.f64 alpha alpha alpha))) (+.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (pow.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 3) -1) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (+.f64 (pow.f64 (.f64 alpha alpha) 3) (+.f64 1 (pow.f64 alpha 3))))))
(/.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) -1)
(/.f64 (-.f64 1 alpha) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) -1) (.f64 (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) -1) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
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(/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (log.f64 (.f64 alpha alpha))) (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
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(/.f64 (neg.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))))
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(/.f64 (-.f64 1 (pow.f64 alpha 3)) (neg.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3) 1/3)
(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1)
(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 3)
(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(neg.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (-.f64 alpha 1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3))
(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log.f64 (*.f64 alpha alpha))
	0.2b	(*.f64 (fma.f64 alpha alpha -1) cosTheta)
✓	0.3b	(/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64)))
✓	0.3b	(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64))) (log.f64 (*.f64 alpha alpha)))

Compiler

Compiled 81 to 42 computations (48.1% saved)

series157.0ms (0.3%)

Counts

2 → 47

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	cosTheta	@	inf	(/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64)))
1.0ms	alpha	@	inf	(/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64))) (log.f64 (*.f64 alpha alpha)))
1.0ms	alpha	@	0	(/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64)))
1.0ms	alpha	@	inf	(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64))) (log.f64 (*.f64 alpha alpha)))

Compiler

Compiled 14790 to 11845 computations (19.9% saved)

rewrite325.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

216×	`egg-rr`
163×	`egg-rr`

Counts

2 → 379

Calls

Call 1

Inputs

(/.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64))) (log.f64 (*.f64 alpha alpha)))

(/.f64 (fma.f64 alpha alpha -1) (*.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64)))

Outputs

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3))))))

simplify1.3s (2.5%)

Algorithm

1×

egglog

Counts

426 → 600

Calls

Call 1

Inputs
(/.f64 -1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
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(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) -1) (neg.f64 (PI.f64)))
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(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (/.f64 1 (PI.f64))) (.f64 (+.f64 (+.f64 1 (.f64 alpha alpha)) (pow.f64 (.f64 alpha alpha) 2)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
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(/.f64 (.f64 (/.f64 1 (fma.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (PI.f64) (PI.f64))) (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (+.f64 1 (.f64 alpha alpha)) (pow.f64 (*.f64 alpha alpha) 2)))
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(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (PI.f64) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (PI.f64) (PI.f64)))) 3)
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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 (log.f64 alpha) (.f64 (+.f64 1 (neg.f64 (*.f64 cosTheta cosTheta))) (PI.f64))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (fma.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (fma.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (PI.f64) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (PI.f64) (PI.f64))) 3))
(/.f64 (fma.f64 alpha alpha -1) (fma.f64 (.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta) (PI.f64) (PI.f64)))

localize160.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
✓	0.3b	(/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
✓	0.4b	(.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
✓	0.5b	(-.f64 (fma.f64 alpha alpha 1) alpha)

Compiler

Compiled 156 to 79 computations (49.4% saved)

series1.1s (2.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
17.0ms	cosTheta	@	-inf	(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
15.0ms	alpha	@	-inf	(.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
10.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
6.0ms	cosTheta	@	inf	(/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
4.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))

Compiler

Compiled 27950 to 21735 computations (22.2% saved)

rewrite635.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

214×	`egg-rr`
207×	`egg-rr`
197×	`egg-rr`
84×	`egg-rr`

Counts

4 → 702

Calls

Call 1

Inputs
(-.f64 (fma.f64 alpha alpha 1) alpha)
(.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 alpha alpha 1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha 1) 2)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 alpha alpha 1) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 alpha alpha 1) 1 (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (fma.f64 alpha alpha 1)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha 1) 2)) (cbrt.f64 (fma.f64 alpha alpha 1)) (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 alpha) (neg.f64 (cbrt.f64 (.f64 alpha alpha))) (fma.f64 alpha alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha -1 (fma.f64 alpha alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 alpha) 1 (fma.f64 alpha alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 alpha (fma.f64 alpha alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 alpha) (fma.f64 alpha alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha alpha (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (.f64 alpha alpha)) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 alpha) (.f64 alpha (cbrt.f64 (.f64 alpha alpha))) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 alpha) (neg.f64 alpha) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 (fma.f64 alpha alpha 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 (fma.f64 alpha alpha 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 (fma.f64 alpha alpha 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 (fma.f64 alpha alpha 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (.f64 alpha (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (.f64 alpha (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 alpha)) (cbrt.f64 (.f64 alpha alpha)) (fma.f64 alpha alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha alpha) 1 (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 alpha alpha)) (cbrt.f64 (pow.f64 (.f64 alpha alpha) 2)) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 alpha alpha) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 alpha alpha) 2)) (cbrt.f64 (.f64 alpha alpha)) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 alpha (cbrt.f64 alpha)) (cbrt.f64 (.f64 alpha alpha)) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (fma.f64 alpha alpha 1) alpha) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 alpha alpha 1) 2) (.f64 alpha alpha)) (+.f64 (fma.f64 alpha alpha 1) alpha)) (-.f64 (fma.f64 alpha alpha 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simplify4.0s (8.1%)

Algorithm

1×

egglog

Counts

786 → 1111

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 alpha))
(+.f64 1 (+.f64 (*.f64 -1 alpha) (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 -1 alpha) (pow.f64 alpha 2)))
(pow.f64 (/.f64 1 alpha) -2)
(+.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 -1 alpha))
(+.f64 1 (+.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 -1 alpha)))
(+.f64 1 (+.f64 (pow.f64 (/.f64 1 alpha) -2) (*.f64 -1 alpha)))
(pow.f64 (/.f64 -1 alpha) -2)
(+.f64 (*.f64 -1 alpha) (pow.f64 (/.f64 -1 alpha) -2))
(+.f64 1 (+.f64 (*.f64 -1 alpha) (pow.f64 (/.f64 -1 alpha) -2)))
(+.f64 1 (+.f64 (*.f64 -1 alpha) (pow.f64 (/.f64 -1 alpha) -2)))
(/.f64 -1/2 (.f64 (log.f64 alpha) (.f64 (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))
(-.f64 (.f64 1/2 (/.f64 alpha (.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 (.f64 1/2 (/.f64 alpha (.f64 (log.f64 alpha) (.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (.f64 (log.f64 alpha) (.f64 (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 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 (.f64 1/2 (/.f64 alpha (.f64 (log.f64 alpha) (.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (PI.f64))))) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.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)))))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 cosTheta 2) (pow.f64 alpha 2)) (.f64 (log.f64 alpha) (.f64 (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 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 (pow.f64 cosTheta 2) (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(+.f64 (.f64 1/2 (/.f64 alpha (.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))
(+.f64 (.f64 1/2 (/.f64 alpha (.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (+.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))))) (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))))
(+.f64 (.f64 -1 (/.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)))))) alpha)) (+.f64 (.f64 1/2 (/.f64 alpha (.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))) (+.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))))) (.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))))))
(.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (pow.f64 cosTheta 2) (*.f64 (PI.f64) (log.f64 (/.f64 -1 alpha))))))
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(+.f64 (.f64 1/2 (/.f64 alpha (.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (pow.f64 cosTheta 2) (.f64 (PI.f64) (log.f64 (/.f64 -1 alpha)))))) (+.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 1/2 (/.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))))))) alpha)))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 alpha 2) alpha)) (-.f64 alpha 1)) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 cosTheta 2) (.f64 (-.f64 (pow.f64 alpha 2) 1) (.f64 (+.f64 1 (.f64 (pow.f64 alpha 2) alpha)) (-.f64 alpha 1)))) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (/.f64 (.f64 (-.f64 alpha 1) (+.f64 1 (.f64 (pow.f64 alpha 2) alpha))) (*.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(+.f64 (/.f64 (.f64 (pow.f64 (-.f64 (pow.f64 alpha 2) 1) 2) (.f64 (pow.f64 cosTheta 4) (.f64 (+.f64 1 (.f64 (pow.f64 alpha 2) alpha)) (-.f64 alpha 1)))) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 cosTheta 2) (.f64 (-.f64 (pow.f64 alpha 2) 1) (.f64 (+.f64 1 (.f64 (pow.f64 alpha 2) alpha)) (-.f64 alpha 1)))) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (/.f64 (.f64 (-.f64 alpha 1) (+.f64 1 (.f64 (pow.f64 alpha 2) alpha))) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))
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Outputs
1
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(/.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (/.f64 (pow.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 2) (pow.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) 2)))) (cbrt.f64 (-.f64 alpha (fma.f64 alpha alpha 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 3) 1) (/.f64 (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (-.f64 (fma.f64 alpha alpha 1) alpha))) (-.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 alpha 3)))
(/.f64 (.f64 (/.f64 (+.f64 alpha -1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) 1)) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (-.f64 (+.f64 1 (pow.f64 (*.f64 alpha alpha) 3)) (pow.f64 alpha 3))))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (pow.f64 alpha 3) 3)) -1) (/.f64 (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (-.f64 (fma.f64 alpha alpha 1) alpha))) (+.f64 (+.f64 (pow.f64 alpha 3) -1) (neg.f64 (pow.f64 (.f64 alpha alpha) 3))))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (pow.f64 alpha 3) 3)) -1) (/.f64 (+.f64 alpha -1) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))) (-.f64 (+.f64 (pow.f64 alpha 3) -1) (pow.f64 (*.f64 alpha alpha) 3)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha))) (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) 2)))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha))) (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) 2)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (cbrt.f64 (-.f64 (fma.f64 alpha alpha 1) alpha))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) 2))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (.f64 (cbrt.f64 (-.f64 (fma.f64 alpha alpha 1) alpha)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) 2))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (-.f64 (fma.f64 alpha alpha 1) alpha)) 1))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (.f64 (-.f64 alpha (fma.f64 alpha alpha 1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (.f64 (-.f64 alpha (fma.f64 alpha alpha 1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (+.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (+.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (neg.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (.f64 (-.f64 alpha (fma.f64 alpha alpha 1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 (fma.f64 alpha alpha 1) alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (+.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (pow.f64 (fma.f64 alpha alpha 1) 2) (.f64 alpha alpha)))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha 3) -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (pow.f64 (fma.f64 alpha alpha 1) 2) (.f64 alpha alpha)))
(/.f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (cbrt.f64 (-.f64 (fma.f64 alpha alpha 1) alpha))) 1) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) 2)))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (-.f64 (fma.f64 alpha alpha 1) alpha)) 1))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (neg.f64 (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 alpha)) (.f64 (-.f64 alpha (fma.f64 alpha alpha 1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (cbrt.f64 (-.f64 (fma.f64 alpha alpha 1) alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) 2))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3) 1/3)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 3)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(neg.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (-.f64 alpha (fma.f64 alpha alpha 1))))
(neg.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 alpha (fma.f64 alpha alpha 1))))
(neg.f64 (.f64 (/.f64 (-.f64 1 alpha) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (+.f64 1 alpha)))
(.f64 (/.f64 (-.f64 alpha 1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (+.f64 1 alpha))
(neg.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(neg.f64 (.f64 1 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(neg.f64 (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (-.f64 alpha (fma.f64 alpha alpha 1))) 1))
(neg.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 alpha (fma.f64 alpha alpha 1))))
(neg.f64 (.f64 (+.f64 1 alpha) (/.f64 (-.f64 1 alpha) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))
(.f64 (/.f64 (-.f64 alpha 1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (+.f64 1 alpha))
(neg.f64 (.f64 1 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (-.f64 alpha (fma.f64 alpha alpha 1)))))
(neg.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 alpha (fma.f64 alpha alpha 1))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))

eval3.9s (7.9%)

Compiler: Compiled 188554 to 106784 computations (43.4% saved)

prune2.3s (4.7%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	4124	27	4151
Fresh	18	2	20
Picked	1	0	1
Done	3	2	5
Total	4146	31	4177

Error

Counts

4177 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 alpha alpha)) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 2)) (-.f64 -1 (.f64 alpha alpha))) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
	1.2b	(/.f64 (if (!=.f64 (+.f64 1 alpha) 0) (/.f64 (+.f64 alpha -1) (/.f64 1 (+.f64 1 alpha))) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
	1.1b	(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
	0.6b	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha -1) (+.f64 1 alpha)) (PI.f64)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (log.f64 (*.f64 alpha alpha)))
	1.0b	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (log.f64 (.f64 alpha alpha))) (PI.f64))
	1.1b	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
	1.1b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
	1.8b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (pow.f64 (cbrt.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) 3))
✓	0.5b	(/.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))))
	0.9b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
✓	1.0b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
	1.3b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)))
▶	1.2b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)))
	1.1b	(/.f64 (+.f64 (+.f64 alpha -1) (.f64 (+.f64 alpha -1) alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
	1.2b	(/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
	1.2b	(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
▶	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (.f64 alpha alpha)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
	1.2b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha 1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))
	1.0b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (neg.f64 cosTheta) cosTheta 1)))) (PI.f64))
▶	1.2b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (.f64 (/.f64 1 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))) (PI.f64))
▶	40.0b	(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
	40.0b	(/.f64 -1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
	1.1b	(.f64 (fma.f64 alpha alpha -1) (/.f64 1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
▶	1.2b	(.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (.f64 alpha alpha))))
	1.2b	(.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
	1.2b	(.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 1 alpha))
	1.2b	(.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 1 alpha) (PI.f64)))
	1.2b	(.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 1 alpha) (log.f64 (.f64 alpha alpha))))
	1.2b	(.f64 (/.f64 (+.f64 1 alpha) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 alpha -1))

Compiler

Compiled 1182 to 829 computations (29.9% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (fma.f64 alpha alpha -1) cosTheta)
✓	0.3b	(/.f64 (-.f64 1 alpha) (PI.f64))
✓	0.4b	(/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
✓	0.4b	(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (.f64 alpha alpha))))

Compiler

Compiled 103 to 55 computations (46.6% saved)

series30.0ms (0.1%)

Counts

3 → 26

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	0	(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (.f64 alpha alpha))))
1.0ms	alpha	@	inf	(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (.f64 alpha alpha))))
0.0ms	alpha	@	-inf	(/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
0.0ms	alpha	@	0	(/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
0.0ms	alpha	@	inf	(/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (*.f64 alpha alpha)))

Compiler

Compiled 2705 to 1830 computations (32.3% saved)

rewrite790.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

221×	`egg-rr`
189×	`egg-rr`
140×	`egg-rr`

Counts

3 → 550

Calls

Call 1

Inputs
(.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (.f64 alpha alpha))))
(/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(/.f64 (-.f64 1 alpha) (PI.f64))

Outputs

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(PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 alpha))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) -1) (neg.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 alpha alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) alpha))) (neg.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (PI.f64)) (+.f64 (pow.f64 alpha 3) -1)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 alpha 3))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (PI.f64))) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 1 (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha -1) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 3))))))

simplify1.8s (3.6%)

Algorithm

1×

egglog

Counts

576 → 742

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 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 1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (PI.f64)))))
(+.f64 (.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (PI.f64)))))
(+.f64 (.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (PI.f64)))))
(.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(-.f64 (.f64 1/2 (/.f64 alpha (.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 alpha (.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 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(-.f64 (.f64 1/2 (/.f64 alpha (.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 alpha (.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 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(*.f64 -1 (/.f64 alpha (PI.f64)))
(*.f64 -1 (/.f64 alpha (PI.f64)))
(fma.f64 (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha)))) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2)) (cbrt.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2)) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 1 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (-.f64 1 alpha) (/.f64 (/.f64 1 (PI.f64)) (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (/.f64 (-.f64 1 alpha) (PI.f64)) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)) (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 -1 (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 1 (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (/.f64 1 (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 alpha (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) alpha (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 alpha)) (log.f64 (.f64 alpha alpha))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (PI.f64)) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 alpha (+.f64 alpha -1) 1)) (/.f64 (-.f64 1 alpha) (PI.f64)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (+.f64 1 (pow.f64 alpha 3)) 0) (/.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (fma.f64 alpha (+.f64 alpha -1) 1) (+.f64 1 (pow.f64 alpha 3)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 1 (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
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(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 1 (PI.f64)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) 0) (/.f64 1 (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (+.f64 1 (pow.f64 alpha 3)) 0) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 alpha (+.f64 alpha -1) 1)) (+.f64 1 (pow.f64 alpha 3)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (+.f64 1 (pow.f64 alpha 3)) 0) (/.f64 (-.f64 1 alpha) (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha (+.f64 alpha -1) 1)) (+.f64 1 (pow.f64 alpha 3)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha (+.f64 alpha -1) 1) (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 alpha (+.f64 alpha -1) 1))) (/.f64 (+.f64 alpha -1) (PI.f64)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (+.f64 1 (pow.f64 alpha 3)) 0) (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 alpha (+.f64 alpha -1) 1))) (+.f64 1 (pow.f64 alpha 3)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 0) (/.f64 (+.f64 1 alpha) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (-.f64 1 alpha) (PI.f64)))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (PI.f64)) (cbrt.f64 (-.f64 1 alpha)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) (/.f64 1 (+.f64 1 (fma.f64 alpha alpha alpha))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))) 2) 2) (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 alpha -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (neg.f64 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2)))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (+.f64 alpha -1) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (+.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 alpha alpha alpha))))
(/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) alpha)) (.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 1)
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (-.f64 1 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)) (cbrt.f64 (+.f64 alpha -1))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)) (cbrt.f64 (-.f64 1 alpha))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (-.f64 (PI.f64) (.f64 (PI.f64) alpha)) 1) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 -1 (PI.f64))) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 alpha)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) -1)
(/.f64 (/.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (-.f64 1 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 (+.f64 alpha -1) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (neg.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) 2))
(/.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) alpha)) (PI.f64)) (PI.f64))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 alpha alpha alpha))) 1))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (*.f64 (neg.f64 (PI.f64)) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 3)) (.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (fma.f64 alpha alpha alpha))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) (pow.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (*.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (-.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (neg.f64 (PI.f64)) (/.f64 alpha (cbrt.f64 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (.f64 (neg.f64 (PI.f64)) alpha)) (.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (-.f64 (PI.f64) (.f64 (neg.f64 (PI.f64)) (neg.f64 alpha))) (.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (/.f64 alpha (cbrt.f64 (PI.f64))))) (.f64 (PI.f64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (neg.f64 alpha))) (.f64 (PI.f64) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 alpha (cbrt.f64 (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) alpha)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 alpha))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (PI.f64))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (neg.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 alpha alpha alpha)))))
(/.f64 (neg.f64 (-.f64 (PI.f64) (.f64 (PI.f64) alpha))) (neg.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (+.f64 (pow.f64 alpha 3) -1)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 alpha 3))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (PI.f64))) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 1 (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 1)
(neg.f64 (/.f64 (+.f64 alpha -1) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 3))

Outputs
(/.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)))))
(fma.f64 -1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (/.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)))))
(fma.f64 -1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (/.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)))))
(fma.f64 -1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (*.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 (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)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.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)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.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)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 1 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 (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)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.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)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.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)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(+.f64 (.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (PI.f64)))))
(fma.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (PI.f64)))))
(fma.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (.f64 (log.f64 alpha) (PI.f64))))
(+.f64 (.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (PI.f64)))))
(fma.f64 -1/2 (/.f64 alpha (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (.f64 (log.f64 alpha) (PI.f64))))
(.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))))
(/.f64 (.f64 1/2 alpha) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(-.f64 (.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(fma.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(-.f64 (.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(fma.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(-.f64 (.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(fma.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))))
(.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(/.f64 (.f64 1/2 alpha) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))
(-.f64 (.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(fma.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(-.f64 (.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(fma.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(-.f64 (.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(fma.f64 1/2 (/.f64 alpha (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (neg.f64 (/.f64 1/2 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(*.f64 -1 (/.f64 alpha (PI.f64)))
(/.f64 (neg.f64 alpha) (PI.f64))
(*.f64 -1 (/.f64 alpha (PI.f64)))
(/.f64 (neg.f64 alpha) (PI.f64))
(fma.f64 (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha)))) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(fma.f64 (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha)))) (/.f64 (-.f64 1 alpha) (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (PI.f64))) (/.f64 (/.f64 (.f64 alpha (-.f64 1 alpha)) (log.f64 (*.f64 alpha alpha))) (PI.f64)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2)) (cbrt.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(/.f64 (+.f64 (.f64 alpha (-.f64 1 alpha)) (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(fma.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(+.f64 (/.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (PI.f64))) (/.f64 (/.f64 (.f64 alpha (-.f64 1 alpha)) (log.f64 (*.f64 alpha alpha))) (PI.f64)))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 2)) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(/.f64 (+.f64 (.f64 alpha (-.f64 1 alpha)) (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(fma.f64 1 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(/.f64 (+.f64 (.f64 alpha (-.f64 1 alpha)) (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(fma.f64 (-.f64 1 alpha) (/.f64 (/.f64 1 (PI.f64)) (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(/.f64 (+.f64 (.f64 alpha (-.f64 1 alpha)) (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(fma.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (/.f64 (-.f64 1 alpha) (PI.f64)) (/.f64 (.f64 alpha (-.f64 1 alpha)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(/.f64 (+.f64 (.f64 alpha (-.f64 1 alpha)) (-.f64 1 alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
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(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))) 2) 2) (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))) 2) 2)) (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))))
(/.f64 (-.f64 1 alpha) (PI.f64))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)))
(neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)))
(/.f64 (-.f64 1 alpha) (PI.f64))
(.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 alpha -1)) 1) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (neg.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 alpha -1)) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))) (neg.f64 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (pow.f64 (-.f64 1 alpha) 2))) (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (+.f64 alpha -1) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (+.f64 alpha -1)) (PI.f64))
(/.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 1 alpha) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (+.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 alpha alpha alpha))))
(/.f64 (-.f64 (PI.f64) (.f64 (PI.f64) alpha)) (.f64 (PI.f64) (PI.f64)))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 1)
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (-.f64 1 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)) (cbrt.f64 (+.f64 alpha -1))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2) (+.f64 alpha -1))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2)) (cbrt.f64 (-.f64 1 alpha))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 alpha) (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))) (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (pow.f64 (-.f64 1 alpha) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (.f64 (-.f64 (PI.f64) (.f64 (PI.f64) alpha)) 1) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (PI.f64)))
(/.f64 (.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 1 alpha) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 -1 (PI.f64))) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) -1) (PI.f64)) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2) (+.f64 alpha -1))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 alpha)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 alpha) (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) -1)
(/.f64 (neg.f64 (+.f64 alpha -1)) (PI.f64))
(/.f64 (/.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 1 alpha) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (-.f64 1 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 (-.f64 1 alpha) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 2))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (neg.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (neg.f64 (PI.f64))) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64)) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) (PI.f64))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) 2))
(/.f64 (/.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) alpha)) (PI.f64)) (PI.f64))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 alpha alpha alpha))) 1))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (+.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 alpha alpha alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (*.f64 (neg.f64 (PI.f64)) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (*.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 alpha 3) 3)) (.f64 (+.f64 (PI.f64) (.f64 (PI.f64) (fma.f64 alpha alpha alpha))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) (pow.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (*.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (-.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (neg.f64 (PI.f64)) (/.f64 alpha (cbrt.f64 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (+.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 (PI.f64) alpha) (cbrt.f64 (PI.f64)))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (.f64 (neg.f64 (PI.f64)) alpha)) (.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (-.f64 (PI.f64) (.f64 (neg.f64 (PI.f64)) (neg.f64 alpha))) (.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (-.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (/.f64 alpha (cbrt.f64 (PI.f64))))) (.f64 (PI.f64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) alpha) (cbrt.f64 (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (neg.f64 alpha))) (.f64 (PI.f64) (neg.f64 (PI.f64))))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 alpha (cbrt.f64 (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (cbrt.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) alpha) (cbrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2))
(/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) alpha)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 alpha))) (.f64 (PI.f64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 alpha))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (PI.f64))))
(/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (neg.f64 (PI.f64)) (neg.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 alpha)))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (neg.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 alpha alpha alpha)))))
(/.f64 (neg.f64 (-.f64 (PI.f64) (.f64 (PI.f64) alpha))) (neg.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 1 alpha) (PI.f64))
(/.f64 (neg.f64 (/.f64 (-.f64 1 alpha) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 1 alpha) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (+.f64 (pow.f64 alpha 3) -1)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (*.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 alpha 3))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (PI.f64))) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 1 (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (*.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 alpha 3)) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 alpha) (PI.f64))) 3)
(/.f64 (-.f64 1 alpha) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 3) 1/3)
(/.f64 (-.f64 1 alpha) (PI.f64))
(pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 1)
(/.f64 (-.f64 1 alpha) (PI.f64))
(neg.f64 (/.f64 (+.f64 alpha -1) (PI.f64)))
(/.f64 (neg.f64 (+.f64 alpha -1)) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) 3))
(/.f64 (-.f64 1 alpha) (PI.f64))

localize16.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series34.0ms (0.1%)

Counts

2 → 4

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	-inf	(*.f64 (log.f64 alpha) (PI.f64))
8.0ms	alpha	@	inf	(*.f64 (log.f64 alpha) (PI.f64))
6.0ms	alpha	@	0	(*.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)))

Compiler

Compiled 815 to 660 computations (19% saved)

rewrite253.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

309×	`egg-rr`
135×	`egg-rr`

Counts

2 → 444

Calls

Call 1

Inputs
(*.f64 (log.f64 alpha) (PI.f64))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (*.f64 (log.f64 alpha) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (*.f64 (log.f64 alpha) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (*.f64 (log.f64 alpha) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (*.f64 (log.f64 alpha) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) (log.f64 alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 alpha) (PI.f64)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (log.f64 alpha))) (*.f64 (cbrt.f64 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simplify914.0ms (1.8%)

Algorithm

1×

egglog

Counts

448 → 619

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)))
(fma.f64 0 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 0 3 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 0 0 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 0 1 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 1 0 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (.f64 (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) 0)
(fma.f64 (PI.f64) (log.f64 alpha) 0)
(fma.f64 (*.f64 (log.f64 alpha) (PI.f64)) 1 0)
(fma.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))) 0)
(fma.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) 0)
(fma.f64 (neg.f64 (PI.f64)) (neg.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 (.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 2) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) 0)
(fma.f64 (.f64 (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))) 0)
(fma.f64 (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (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 (log.f64 alpha) (PI.f64) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2) (log.f64 alpha))) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) 0)
(fma.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (PI.f64)) 0)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2) (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 0)
(fma.f64 (cbrt.f64 (log.f64 alpha)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) 0)
(fma.f64 (cbrt.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 (neg.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))) 0)
(fma.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) 2) 0)
(fma.f64 1 (*.f64 (log.f64 alpha) (PI.f64)) 0)
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) (cbrt.f64 (PI.f64)) 0)
(fma.f64 -1 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 2) (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 0)
(if (!=.f64 -1 0) (.f64 (log.f64 alpha) (PI.f64)) (.f64 (log.f64 alpha) (PI.f64)))
(if (!=.f64 1 0) (.f64 (log.f64 alpha) (PI.f64)) (.f64 (log.f64 alpha) (PI.f64)))
(if (!=.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (log.f64 alpha) (PI.f64)))
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(/.f64 (cbrt.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2) 1/4)))
(/.f64 (/.f64 1 (log.f64 alpha)) (*.f64 (PI.f64) -2))
(/.f64 (/.f64 1 (.f64 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) -2)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 -1/2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 alpha) 2) 1/4)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 alpha) 1/4))) (.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) (cbrt.f64 -2)))
(/.f64 (/.f64 1 (pow.f64 1/4 -1/3)) (.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -2)))
(/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 -1/2))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) 1/4)))
(/.f64 (pow.f64 (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4)) -1) (cbrt.f64 -2))
(/.f64 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))) -2)
(/.f64 (/.f64 1 (/.f64 (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 1/4))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2) -1)) (cbrt.f64 (/.f64 (.f64 (log.f64 alpha) (PI.f64)) -1/8)))
(/.f64 (cbrt.f64 (/.f64 -1/2 (PI.f64))) (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) (cbrt.f64 1/4)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 1/4))) (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) (cbrt.f64 -1/2)))
(/.f64 (/.f64 1 (*.f64 (log.f64 alpha) (cbrt.f64 -2))) (/.f64 (PI.f64) (cbrt.f64 1/4)))
(/.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 1/4))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 alpha) 2) -1/2)))
(/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) -2))
(/.f64 (/.f64 1 (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) -1/8)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1/8 (.f64 (log.f64 alpha) (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) 2) 2))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1/8 (.f64 (log.f64 alpha) (PI.f64)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) 2) 2))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1/8 (.f64 (log.f64 alpha) (PI.f64)))) 1) (cbrt.f64 (neg.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))))
(/.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (cbrt.f64 1/4)) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (cbrt.f64 1/4)) 1) (PI.f64))
(/.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (cbrt.f64 1/4)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64))))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (cbrt.f64 1/4)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (log.f64 alpha)) (cbrt.f64 1/4)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64))))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 2)) (cbrt.f64 (.f64 (PI.f64) (.f64 (log.f64 alpha) -2))))
(/.f64 (cbrt.f64 1/2) (.f64 (/.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4)) -1))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (log.f64 alpha) -2)))
(/.f64 (/.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))) 2)
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) -2))
(/.f64 (/.f64 1/2 (log.f64 alpha)) (pow.f64 (neg.f64 (cbrt.f64 (PI.f64))) 3))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (/.f64 -1/8 (.f64 (log.f64 alpha) (PI.f64)))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)))))
(/.f64 (-.f64 0 (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) 1/2)) (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2)))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (/.f64 1/8 (.f64 (log.f64 alpha) (PI.f64)))))) (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 0 (.f64 (PI.f64) (.f64 2 (log.f64 alpha)))) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (PI.f64) (.f64 2 (log.f64 alpha)))))
(/.f64 (-.f64 (.f64 0 (log.f64 alpha)) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (PI.f64)))) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (log.f64 alpha))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (PI.f64)))) (.f64 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (log.f64 alpha))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) -1/2)) (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))
(/.f64 (-.f64 (.f64 0 (PI.f64)) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (log.f64 alpha)))) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (PI.f64))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (PI.f64))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (log.f64 alpha)))) (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (PI.f64)))
(/.f64 (.f64 (cbrt.f64 -1/4) (cbrt.f64 1/2)) (.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 1/4) (log.f64 alpha)) (cbrt.f64 1/2)) (neg.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 (cbrt.f64 1/4) (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))) (cbrt.f64 1/2)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (.f64 (/.f64 (cbrt.f64 1/4) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) -1))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/4 (log.f64 alpha))) (cbrt.f64 1/2)) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (.f64 (/.f64 (/.f64 (cbrt.f64 1/4) (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2)) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/4 (.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 1/2)) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))))
(/.f64 (cbrt.f64 -1/4) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/2)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (pow.f64 (.f64 (PI.f64) (.f64 (log.f64 alpha) -2)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.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 (pow.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 2) (cbrt.f64 (/.f64 -1/8 (.f64 (log.f64 alpha) (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) 2))
(/.f64 (cbrt.f64 (neg.f64 (/.f64 -1/8 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)))) (cbrt.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))))
(/.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 (cbrt.f64 (PI.f64)) (.f64 (log.f64 alpha) -2)))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.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 1/4) (.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -2)))
(/.f64 1 (.f64 (PI.f64) (.f64 (log.f64 alpha) -2)))
(/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) -1)
(/.f64 (/.f64 (cbrt.f64 (/.f64 1/8 (.f64 (log.f64 alpha) (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) 2) 2)))
(/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 2)))
(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 3) 1/3)
(pow.f64 (.f64 (PI.f64) (.f64 (log.f64 alpha) -2)) -1)
(pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))) 3)
(pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 1)
(neg.f64 (.f64 (cbrt.f64 (/.f64 1/8 (.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))) 2))))
(neg.f64 (.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))) (cbrt.f64 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))))
(neg.f64 (.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) -1))
(neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (/.f64 1/2 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))))
(neg.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)))
(neg.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -1/4))))
(neg.f64 (-.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 0))
(cbrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 3))

Outputs
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 0 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 0 3 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 0 0 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 0 1 (*.f64 (log.f64 alpha) (PI.f64)))
(fma.f64 1 0 (*.f64 (log.f64 alpha) (PI.f64)))
(*.f64 (log.f64 alpha) (PI.f64))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (.f64 (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) 0)
(fma.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (PI.f64) (log.f64 alpha) 0)
(*.f64 (log.f64 alpha) (PI.f64))
(fma.f64 (*.f64 (log.f64 alpha) (PI.f64)) 1 0)
(*.f64 (log.f64 alpha) (PI.f64))
(fma.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))) 0)
(fma.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) 0)
(*.f64 (log.f64 alpha) (PI.f64))
(fma.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 alpha)) 0)
(*.f64 (log.f64 alpha) (PI.f64))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) (cbrt.f64 (log.f64 alpha)) 0)
(fma.f64 (.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 2) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))) 0)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2) (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64)))) (log.f64 alpha)) 0)
(fma.f64 (.f64 (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 0)
(fma.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (PI.f64))) (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))) 0)
(*.f64 (log.f64 alpha) (PI.f64))
(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) (PI.f64))) (.f64 (log.f64 alpha) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) 0)
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(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (log.f64 alpha) -2)))
(/.f64 (/.f64 -1 (*.f64 (log.f64 alpha) (PI.f64))) 2)
(/.f64 -1 (.f64 2 (.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) -2))
(/.f64 (/.f64 1 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) -2))
(/.f64 (/.f64 1/2 (log.f64 alpha)) (pow.f64 (neg.f64 (cbrt.f64 (PI.f64))) 3))
(/.f64 (/.f64 1/2 (log.f64 alpha)) (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) 3)))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (/.f64 -1/8 (.f64 (log.f64 alpha) (PI.f64)))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)))))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 (/.f64 (/.f64 -1/8 (log.f64 alpha)) (PI.f64))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2)))))
(/.f64 (-.f64 0 (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) 1/2)) (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) 1/2))) (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2)))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (/.f64 1/8 (.f64 (log.f64 alpha) (PI.f64)))))) (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 (/.f64 (/.f64 1/8 (log.f64 alpha)) (PI.f64))))) (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 0 (.f64 (PI.f64) (.f64 2 (log.f64 alpha)))) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (PI.f64) (.f64 2 (log.f64 alpha)))))
(/.f64 (.f64 (log.f64 alpha) (PI.f64)) (neg.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (.f64 (PI.f64) (*.f64 2 (log.f64 alpha))))))
(/.f64 (-.f64 (.f64 0 (log.f64 alpha)) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (PI.f64)))) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (log.f64 alpha))))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (/.f64 1/2 (PI.f64)))) (neg.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (log.f64 alpha))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (PI.f64)))) (.f64 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (log.f64 alpha))))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (/.f64 -1/2 (PI.f64)))) (neg.f64 (neg.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (log.f64 alpha)))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) -1/2)) (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -1/2)) (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))
(/.f64 (-.f64 (.f64 0 (PI.f64)) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (log.f64 alpha)))) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (PI.f64))))
(neg.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (PI.f64))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (log.f64 alpha)))) (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (PI.f64)))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (/.f64 -1/2 (log.f64 alpha)))) (.f64 (log.f64 alpha) (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (cbrt.f64 -1/4) (cbrt.f64 1/2)) (.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 -1/4 1/2)) (log.f64 alpha)) (PI.f64))
(/.f64 (*.f64 (/.f64 (cbrt.f64 1/4) (log.f64 alpha)) (cbrt.f64 1/2)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)) (log.f64 alpha)) (neg.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 (cbrt.f64 1/4) (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))) (cbrt.f64 1/2)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)) (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (.f64 (/.f64 (cbrt.f64 1/4) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 alpha)) -1))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/4 (PI.f64))) (cbrt.f64 1/2)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (log.f64 alpha) -1)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/4 (log.f64 alpha))) (cbrt.f64 1/2)) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (log.f64 alpha)) 1/2)) (neg.f64 (PI.f64))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (.f64 (/.f64 (/.f64 (cbrt.f64 1/4) (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2)) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)) (log.f64 alpha)) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1/4 (.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 1/2)) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))))
(/.f64 (cbrt.f64 (.f64 (/.f64 (/.f64 1/4 (log.f64 alpha)) (PI.f64)) 1/2)) (cbrt.f64 (neg.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))))
(/.f64 (cbrt.f64 -1/4) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/2)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (pow.f64 (.f64 (PI.f64) (.f64 (log.f64 alpha) -2)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 -1/2 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (pow.f64 (.f64 (PI.f64) (.f64 (log.f64 alpha) -2)) 2)) (cbrt.f64 (*.f64 (PI.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))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 2) (/.f64 1/2 (log.f64 alpha))) (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 2) (cbrt.f64 (/.f64 -1/8 (.f64 (log.f64 alpha) (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) 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 (log.f64 alpha) (PI.f64)))) 2))
(/.f64 (cbrt.f64 (neg.f64 (/.f64 -1/8 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)))) (cbrt.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))))
(cbrt.f64 (/.f64 (/.f64 (neg.f64 -1/8) (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2)) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))))
(/.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)))
(cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 (PI.f64)) (pow.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 2)) (log.f64 alpha)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (.f64 (log.f64 alpha) -2)))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (.f64 (log.f64 alpha) -2))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.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)))
(cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 (PI.f64)) (pow.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 2)) (log.f64 alpha)))
(/.f64 (cbrt.f64 1/4) (.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -2)))
(/.f64 (cbrt.f64 1/4) (.f64 (log.f64 alpha) (.f64 (PI.f64) (cbrt.f64 -2))))
(/.f64 1 (.f64 (PI.f64) (.f64 (log.f64 alpha) -2)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (log.f64 alpha) -2))
(/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) -1)
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1/8 (.f64 (log.f64 alpha) (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 alpha) (PI.f64)))) 2) 2)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1/8 (log.f64 alpha)) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 2)))
(/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 2)))
(/.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))) 2) 2) (cbrt.f64 (.f64 (log.f64 alpha) (PI.f64)))))
(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 3) 1/3)
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 (log.f64 alpha) -2)) -1)
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (log.f64 alpha) -2))
(pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))) 3)
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 1)
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(neg.f64 (.f64 (cbrt.f64 (/.f64 1/8 (.f64 (log.f64 alpha) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))) 2))))
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 1/8 (log.f64 alpha)) (PI.f64)) (pow.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (PI.f64)) 2))))
(neg.f64 (.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))) (cbrt.f64 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))))))
(neg.f64 (/.f64 (.f64 1/2 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))))
(neg.f64 (.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) -1))
(neg.f64 (/.f64 (.f64 -1/2 -1) (.f64 (log.f64 alpha) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (/.f64 1/2 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))))
(neg.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (.f64 (cbrt.f64 (log.f64 alpha)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))))
(neg.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)))
(neg.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -1/4))))
(/.f64 (neg.f64 (cbrt.f64 -1/2)) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -1/4)))
(neg.f64 (-.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)) 0))
(neg.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 3))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log.f64 (*.f64 alpha alpha))
✓	0.3b	(/.f64 (+.f64 alpha -1) (PI.f64))
✓	0.4b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
✓	0.4b	(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64)))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series23.0ms (0%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64)))
1.0ms	alpha	@	inf	(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64)))
1.0ms	alpha	@	-inf	(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64)))
0.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
0.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))

Compiler

Compiled 2130 to 1440 computations (32.4% saved)

rewrite229.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

160×	`egg-rr`
153×	`egg-rr`
100×	`egg-rr`

Counts

3 → 413

Calls

Call 1

Inputs
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64)))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
(/.f64 (+.f64 alpha -1) (PI.f64))

Outputs

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alpha alpha))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 alpha 3) -1) (cbrt.f64 (/.f64 1 (PI.f64)))) (*.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 alpha 3)) (neg.f64 (*.f64 (PI.f64) (+.f64 1 (fma.f64 alpha alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3))))))

simplify750.0ms (1.5%)

Algorithm

1×

egglog

Counts

427 → 534

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 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(/.f64 alpha (PI.f64))
(/.f64 alpha (PI.f64))
(fma.f64 alpha (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64)))
(fma.f64 (-.f64 1 alpha) (/.f64 -1 (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 -1 (/.f64 (-.f64 1 alpha) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (cbrt.f64 (+.f64 alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha -1) 2)) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 1 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 1 (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (+.f64 alpha -1) (/.f64 1 (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (/.f64 1 (PI.f64)) (+.f64 alpha -1) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) alpha (/.f64 (+.f64 alpha -1) (PI.f64)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)) (+.f64 alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) 2) 0) (/.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) 2))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 1 (/.f64 (neg.f64 (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (PI.f64) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (+.f64 alpha 1) (/.f64 (PI.f64) (+.f64 alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (+.f64 alpha -1)) 0) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (PI.f64) (.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (+.f64 alpha -1)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) 2) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) 2))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (/.f64 (+.f64 alpha -1) (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)))
(if (!=.f64 (+.f64 1 (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha -1)) 2) (.f64 alpha (-.f64 1 alpha)))) 0) (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (PI.f64)) (+.f64 1 (pow.f64 (.f64 alpha (+.f64 alpha -1)) 3))) (+.f64 1 (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha -1)) 2) (*.f64 alpha (-.f64 1 alpha))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (-.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3) (pow.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (-.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (-.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) 3) (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3)) (+.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (-.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (.f64 (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3) (pow.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (-.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) 3) (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3)) (+.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (-.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (.f64 (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3) (pow.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (-.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) 3) (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3)) (+.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (-.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 0) (/.f64 1 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1)) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha))) (-.f64 1 alpha))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (+.f64 alpha 1) (/.f64 (PI.f64) (+.f64 alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (-.f64 -1 alpha) 0) (/.f64 (+.f64 alpha -1) (/.f64 (neg.f64 (PI.f64)) (-.f64 -1 alpha))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 alpha 1) 0) (/.f64 (-.f64 1 alpha) (/.f64 (neg.f64 (PI.f64)) (+.f64 alpha 1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 1 (pow.f64 alpha 3)) 0) (/.f64 (+.f64 alpha -1) (/.f64 (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)) (+.f64 1 (pow.f64 alpha 3)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 alpha 1) 0) (/.f64 (+.f64 alpha -1) (/.f64 (PI.f64) (+.f64 alpha 1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 alpha -1) 2)) 0) (/.f64 (*.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 alpha -1))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (+.f64 alpha -1) 2)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 1 (pow.f64 alpha 3)) 0) (/.f64 (-.f64 1 alpha) (/.f64 (neg.f64 (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha))) (+.f64 1 (pow.f64 alpha 3)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (+.f64 1 (pow.f64 alpha 3)) 0) (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 1 (pow.f64 alpha 3)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (-.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2) (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)))) (-.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (-.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64))) 0) (/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64))) (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2)) (-.f64 (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(+.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(+.f64 (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64)))
(-.f64 (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (-.f64 1 alpha) (PI.f64)))
(-.f64 0 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(-.f64 (/.f64 (*.f64 alpha alpha) (PI.f64)) (/.f64 1 (PI.f64)))
(-.f64 (/.f64 -1 (PI.f64)) (/.f64 (*.f64 alpha alpha) (neg.f64 (PI.f64))))
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha -1) (PI.f64)))
(*.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (+.f64 alpha 1))
(*.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 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))))
(.f64 (/.f64 (.f64 (+.f64 alpha -1) (cbrt.f64 (+.f64 alpha 1))) (PI.f64)) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))
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(*.f64 (+.f64 alpha -1) (/.f64 (+.f64 alpha 1) (PI.f64)))
(.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))) (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64)))
(.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (+.f64 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 -1 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))))
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Outputs
(/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.f64 1/2 (*.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 (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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.f64 (log.f64 (/.f64 1 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 (pow.f64 (/.f64 -1 alpha) -2)) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))
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(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(/.f64 alpha (PI.f64))
(/.f64 alpha (PI.f64))
(fma.f64 alpha (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 alpha -1) (PI.f64)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 alpha -1)) (PI.f64))
(fma.f64 (-.f64 1 alpha) (/.f64 -1 (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(+.f64 (/.f64 (neg.f64 (-.f64 1 alpha)) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 -1 (/.f64 (-.f64 1 alpha) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(+.f64 (/.f64 (neg.f64 (-.f64 1 alpha)) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (cbrt.f64 (+.f64 alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha -1) 2)) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (PI.f64))
(fma.f64 1 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (PI.f64))
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(fma.f64 (+.f64 alpha -1) (/.f64 1 (PI.f64)) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (PI.f64))
(fma.f64 (/.f64 1 (PI.f64)) (+.f64 alpha -1) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (PI.f64))
(fma.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) alpha (/.f64 (+.f64 alpha -1) (PI.f64)))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 alpha -1)) (PI.f64))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) (/.f64 (*.f64 alpha (+.f64 alpha -1)) (PI.f64)))
(/.f64 (+.f64 (+.f64 alpha -1) (*.f64 alpha (+.f64 alpha -1))) (PI.f64))
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(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 1 (/.f64 (neg.f64 (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
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(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (PI.f64) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
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(if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (+.f64 alpha 1) (/.f64 (PI.f64) (+.f64 alpha -1))) (/.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)))
(if (!=.f64 (+.f64 1 (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha -1)) 2) (.f64 alpha (-.f64 1 alpha)))) 0) (.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (PI.f64)) (+.f64 1 (pow.f64 (.f64 alpha (+.f64 alpha -1)) 3))) (+.f64 1 (+.f64 (pow.f64 (.f64 alpha (+.f64 alpha -1)) 2) (*.f64 alpha (-.f64 1 alpha))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
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(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (PI.f64)) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64))))
(/.f64 (.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 alpha -1) (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 alpha)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 alpha) (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (+.f64 alpha -1) -1) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) -1) -1)
(/.f64 (/.f64 (+.f64 alpha -1) (neg.f64 (PI.f64))) -1)
(/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (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 (-.f64 1 alpha) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (PI.f64)) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) 2))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (PI.f64)) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 (*.f64 (PI.f64) (+.f64 1 (fma.f64 alpha alpha alpha))) 1))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (*.f64 (neg.f64 (PI.f64)) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (neg.f64 (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64)))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (*.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (neg.f64 (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 3) -1) (.f64 (.f64 (PI.f64) (+.f64 1 (fma.f64 alpha alpha alpha))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (+.f64 1 (pow.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 3) -1) (.f64 (+.f64 (PI.f64) (.f64 (fma.f64 alpha alpha alpha) (PI.f64))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (+.f64 1 (pow.f64 alpha 3)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) 1) (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (neg.f64 (PI.f64))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (neg.f64 (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (.f64 (PI.f64) (+.f64 1 (fma.f64 alpha alpha alpha))) 1))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (*.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (neg.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64))))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (-.f64 1 (pow.f64 alpha 3))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 alpha 3) -1)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 alpha 3) -1)) (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) -1) (.f64 (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) (neg.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) -1) (neg.f64 (neg.f64 (+.f64 (PI.f64) (.f64 (fma.f64 alpha alpha alpha) (PI.f64))))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) -1) -1) (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (neg.f64 (PI.f64))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) -1) -1) (neg.f64 (+.f64 (PI.f64) (.f64 (fma.f64 alpha alpha alpha) (PI.f64)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) 1) (.f64 (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) (PI.f64)))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (neg.f64 (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) (cbrt.f64 (/.f64 1 (PI.f64)))) (.f64 (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (-.f64 1 (pow.f64 alpha 3))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) -1) (cbrt.f64 (/.f64 1 (PI.f64)))) (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 alpha 3) -1)) (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) -1)
(/.f64 (-.f64 1 alpha) (neg.f64 (PI.f64)))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (neg.f64 (*.f64 (PI.f64) (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (neg.f64 (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (+.f64 (PI.f64) (*.f64 (fma.f64 alpha alpha alpha) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3) 1/3)
(/.f64 (+.f64 alpha -1) (PI.f64))
(pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 1)
(/.f64 (+.f64 alpha -1) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) 3)
(/.f64 (+.f64 alpha -1) (PI.f64))
(neg.f64 (/.f64 (-.f64 1 alpha) (PI.f64)))
(/.f64 (neg.f64 (-.f64 1 alpha)) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 3))
(/.f64 (+.f64 alpha -1) (PI.f64))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log.f64 (*.f64 alpha alpha))
✓	0.3b	(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
✓	0.3b	(/.f64 1 (log.f64 (*.f64 alpha alpha)))
✓	0.4b	(.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (.f64 alpha alpha))))

Compiler

Compiled 42 to 20 computations (52.4% saved)

series23.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	0	(/.f64 1 (log.f64 (*.f64 alpha alpha)))
1.0ms	alpha	@	inf	(/.f64 1 (log.f64 (*.f64 alpha alpha)))
0.0ms	alpha	@	0	(.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (.f64 alpha alpha))))
0.0ms	alpha	@	-inf	(.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (.f64 alpha alpha))))
0.0ms	alpha	@	inf	(.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (.f64 alpha alpha))))

Compiler

Compiled 2090 to 1530 computations (26.8% saved)

rewrite210.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

191×	`egg-rr`
82×	`egg-rr`
38×	`egg-rr`

Counts

3 → 311

Calls

Call 1

Inputs
(.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (.f64 alpha alpha))))
(/.f64 1 (log.f64 (*.f64 alpha alpha)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))

Outputs

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simplify527.0ms (1.1%)

Algorithm

1×

egglog

Counts

335 → 413

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 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(/.f64 1/2 (log.f64 alpha))
(/.f64 1/2 (log.f64 alpha))
(/.f64 1/2 (log.f64 alpha))
(/.f64 1/2 (log.f64 alpha))
(/.f64 -1/2 (log.f64 (/.f64 1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 -1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 -1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 -1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 -1 alpha)))
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(if (!=.f64 -1 0) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))))
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(/.f64 (.f64 (cbrt.f64 (/.f64 -1 (log.f64 (.f64 alpha alpha)))) -1) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (cbrt.f64 (neg.f64 (log.f64 (.f64 alpha alpha)))))
(/.f64 (cbrt.f64 (/.f64 -1 (log.f64 (.f64 alpha alpha)))) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))))
(pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 3) 1/3)
(pow.f64 (log.f64 (*.f64 alpha alpha)) -1)
(neg.f64 (/.f64 -1 (log.f64 (*.f64 alpha alpha))))
(neg.f64 (.f64 (/.f64 -1 (log.f64 (.f64 alpha alpha))) 1))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 3))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (pow.f64 (/.f64 (PI.f64) (fma.f64 alpha alpha -1)) -1) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (/.f64 (PI.f64) (cbrt.f64 (fma.f64 alpha alpha -1)))) (/.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)))
(if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (+.f64 alpha 1) (/.f64 (PI.f64) (+.f64 alpha -1))) (/.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)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 -1 (/.f64 (PI.f64) (neg.f64 (fma.f64 alpha alpha -1)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (fma.f64 alpha alpha -1) (/.f64 1 (/.f64 1 (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 0) (/.f64 1 (/.f64 1 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 1 (/.f64 -1 (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (/.f64 1 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) 0) (/.f64 -1 (/.f64 1 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (pow.f64 (/.f64 (PI.f64) (fma.f64 alpha alpha -1)) -1) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 -1 (/.f64 (neg.f64 (PI.f64)) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 0) (/.f64 1 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1)) (/.f64 (fma.f64 alpha 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 (PI.f64) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(+.f64 (.f64 (/.f64 1 (PI.f64)) -1) (.f64 (/.f64 1 (PI.f64)) (*.f64 alpha alpha)))
(+.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 alpha alpha)) (*.f64 (/.f64 1 (PI.f64)) -1))
(+.f64 (/.f64 -1 (PI.f64)) (.f64 (.f64 alpha alpha) (/.f64 1 (PI.f64))))
(+.f64 (.f64 (.f64 alpha alpha) (/.f64 1 (PI.f64))) (/.f64 -1 (PI.f64)))
(-.f64 0 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(-.f64 (/.f64 (*.f64 alpha alpha) (PI.f64)) (/.f64 1 (PI.f64)))
(-.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)))
(*.f64 1 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64)))
(*.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 (/.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 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 -1 (PI.f64)))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) -1)
(*.f64 -1 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) (cbrt.f64 (fma.f64 alpha alpha -1)))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1)))
(.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (/.f64 -1 (PI.f64)))) (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64)))))
(.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))))
(.f64 (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (.f64 (/.f64 1 (PI.f64)) (+.f64 alpha 1)) (+.f64 alpha -1))
(.f64 (.f64 (/.f64 1 (PI.f64)) -1) (neg.f64 (fma.f64 alpha alpha -1)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64))))
(.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) 1))
(.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (/.f64 -1 (PI.f64)) 1))
(.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 1))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(/.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (.f64 (PI.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 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1)))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1) -1)
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) -1)
(/.f64 (/.f64 (fma.f64 alpha alpha -1) -1) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (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 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (PI.f64) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (/.f64 1 (PI.f64)) (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha))))
(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)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) 3)
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3))

Outputs
(/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.f64 1/2 (*.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 (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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.f64 (log.f64 (/.f64 1 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 (pow.f64 (/.f64 -1 alpha) -2)) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(/.f64 1/2 (log.f64 alpha))
(/.f64 1/2 (log.f64 alpha))
(/.f64 1/2 (log.f64 alpha))
(/.f64 1/2 (log.f64 alpha))
(/.f64 -1/2 (log.f64 (/.f64 1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 -1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 -1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 -1 alpha)))
(/.f64 -1/2 (log.f64 (/.f64 -1 alpha)))
(if (!=.f64 1 0) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 0) (pow.f64 (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) -1) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))))
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(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 0) (/.f64 1 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1)) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 0) (pow.f64 (/.f64 1 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) -1) (/.f64 (fma.f64 alpha 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 (PI.f64) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(+.f64 (.f64 (/.f64 1 (PI.f64)) -1) (.f64 (/.f64 1 (PI.f64)) (*.f64 alpha alpha)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 alpha alpha)) (*.f64 (/.f64 1 (PI.f64)) -1))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (/.f64 -1 (PI.f64)) (.f64 (.f64 alpha alpha) (/.f64 1 (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(+.f64 (.f64 (.f64 alpha alpha) (/.f64 1 (PI.f64))) (/.f64 -1 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(-.f64 0 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(-.f64 (/.f64 (*.f64 alpha alpha) (PI.f64)) (/.f64 1 (PI.f64)))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (PI.f64))
(-.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (PI.f64))
(*.f64 1 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(*.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 (fma.f64 alpha alpha -1) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (fma.f64 alpha alpha -1))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(*.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 (fma.f64 alpha alpha -1) (PI.f64))
(*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 -1 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(*.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) -1)
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(*.f64 -1 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) (cbrt.f64 (fma.f64 alpha alpha -1)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (PI.f64))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (/.f64 -1 (PI.f64)))) (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64)))))
(.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (PI.f64))
(.f64 (.f64 (/.f64 1 (PI.f64)) (+.f64 alpha 1)) (+.f64 alpha -1))
(*.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1))
(.f64 (.f64 (/.f64 1 (PI.f64)) -1) (neg.f64 (fma.f64 alpha alpha -1)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2))
(/.f64 (fma.f64 alpha alpha -1) (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 (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (fma.f64 alpha alpha -1) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2) 2))
(.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 alpha alpha -1))) 2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (PI.f64))
(.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) 1))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (PI.f64))
(.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (/.f64 -1 (PI.f64)) 1))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 1))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (PI.f64))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (.f64 (PI.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 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1)))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 alpha alpha -1) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1) -1)
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (neg.f64 -1))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) -1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) -1) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (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 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (PI.f64) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (PI.f64) (+.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) 1) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (/.f64 1 (PI.f64)) (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1)) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (PI.f64) (+.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) 1) (*.f64 alpha alpha))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (.f64 alpha alpha) 2) (+.f64 1 (*.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 (pow.f64 alpha 3) 2) -1) (.f64 (PI.f64) (+.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 2) 1) (*.f64 alpha alpha))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3) 1/3)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) 3)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))
✓	0.3b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)))
✓	0.6b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3))
✓	0.8b	(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)

Compiler

Compiled 56 to 21 computations (62.5% saved)

series86.0ms (0.2%)

Counts

3 → 4

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	0	(cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3))
2.0ms	alpha	@	inf	(cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3))
1.0ms	alpha	@	0	(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
1.0ms	alpha	@	inf	(/.f64 (-.f64 (.f64 alpha alpha) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)))
1.0ms	alpha	@	0	(/.f64 (-.f64 (.f64 alpha alpha) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)))

Compiler

Compiled 4865 to 3770 computations (22.5% saved)

rewrite247.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

267×	`egg-rr`
47×	`egg-rr`
47×	`egg-rr`

Counts

3 → 361

Calls

Call 1

Inputs

(pow.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)

(cbrt.f64 (pow.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3))

(/.f64 (-.f64 (*.f64 alpha alpha) 1) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) 3))))))

simplify841.0ms (1.7%)

Algorithm

1×

egglog

Counts

365 → 477

Calls

Call 1

Inputs
(/.f64 -1/2 (pow.f64 (.f64 (log.f64 alpha) (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))) 1/3))
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(/.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2)))
(/.f64 (.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha alpha -1)) 1) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 1) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 -1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))))
(/.f64 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha alpha -1)) 1) (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha alpha -1)) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 1) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (log.f64 (.f64 alpha alpha))) (log.f64 (.f64 alpha alpha))) (.f64 (PI.f64) (/.f64 1 (PI.f64)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (PI.f64)) (PI.f64)) (.f64 (log.f64 (.f64 alpha alpha)) (/.f64 1 (log.f64 (.f64 alpha alpha))))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) 3)
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 1)
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(neg.f64 (.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) 1))
(neg.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) -1))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3))

Outputs
(/.f64 -1/2 (pow.f64 (.f64 (log.f64 alpha) (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))) 1/3))
(/.f64 -1/2 (cbrt.f64 (.f64 (log.f64 alpha) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64))))))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (.f64 (log.f64 alpha) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))) 1/3))) (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (log.f64 alpha) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))) 1/3))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (cbrt.f64 (.f64 (log.f64 alpha) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))))) (neg.f64 (/.f64 1/2 (cbrt.f64 (.f64 (log.f64 alpha) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64))))))))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (.f64 (log.f64 alpha) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))) 1/3))) (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (log.f64 alpha) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))) 1/3))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (cbrt.f64 (.f64 (log.f64 alpha) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))))) (neg.f64 (/.f64 1/2 (cbrt.f64 (.f64 (log.f64 alpha) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64))))))))
(-.f64 (.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (.f64 (log.f64 alpha) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))) 1/3))) (.f64 1/2 (/.f64 1 (pow.f64 (.f64 (log.f64 alpha) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))) 1/3))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (cbrt.f64 (.f64 (log.f64 alpha) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64)))))) (neg.f64 (/.f64 1/2 (cbrt.f64 (.f64 (log.f64 alpha) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 (log.f64 alpha) 2) (PI.f64))))))))
(if (!=.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3) 0) (/.f64 1 (pow.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3)) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3))
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(.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 3) (pow.f64 (PI.f64) 3))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (.f64 alpha alpha)) 3))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 3) (.f64 (PI.f64) (PI.f64))) (PI.f64))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
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(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (log.f64 (.f64 alpha alpha)) (.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2) (PI.f64)))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (PI.f64) (.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 3) (.f64 (PI.f64) (PI.f64))))
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(.f64 1 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3) 1)
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
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(.f64 (.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2) (.f64 (PI.f64) (cbrt.f64 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 2)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2) (PI.f64)) 1) (log.f64 (.f64 alpha alpha)))
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(.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (pow.f64 (log.f64 (.f64 alpha alpha)) 3)))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha))) (.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2) (PI.f64))))
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(.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2) (PI.f64))))
(.f64 (.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2) (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (PI.f64))) (cbrt.f64 (log.f64 (*.f64 alpha alpha))))
(.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2) (.f64 (log.f64 (.f64 alpha alpha)) (pow.f64 (PI.f64) 3)))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha))) (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)) (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (cbrt.f64 (log.f64 (.f64 alpha alpha))) (.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
(.f64 (log.f64 (.f64 alpha alpha)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (PI.f64)) 3))
(.f64 (PI.f64) (pow.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (log.f64 (.f64 alpha alpha))) 3))
(.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) 3) (pow.f64 (log.f64 (.f64 alpha alpha)) 2))
(.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (cbrt.f64 (PI.f64))) 3) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)))
(pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 3)
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(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (.f64 (PI.f64) (fma.f64 alpha alpha -1))) (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha alpha -1)) 1) (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (.f64 (PI.f64) (fma.f64 alpha alpha -1))) (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha alpha -1)) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)))
(/.f64 (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (.f64 (PI.f64) (fma.f64 alpha alpha -1))) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 1) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2)))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (log.f64 (.f64 alpha alpha))) (neg.f64 (+.f64 (PI.f64) (.f64 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (log.f64 (.f64 alpha alpha))) (neg.f64 (+.f64 (PI.f64) (.f64 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (fma.f64 (neg.f64 (.f64 alpha alpha)) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 2))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (log.f64 (.f64 alpha alpha))) (log.f64 (.f64 alpha alpha))) (.f64 (PI.f64) (/.f64 1 (PI.f64)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (fma.f64 (/.f64 (.f64 alpha alpha) (log.f64 (.f64 alpha alpha))) (log.f64 (.f64 alpha alpha)) (neg.f64 (/.f64 (PI.f64) (PI.f64)))) (log.f64 (.f64 alpha alpha))) (PI.f64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (PI.f64)) (PI.f64)) (.f64 (log.f64 (.f64 alpha alpha)) (/.f64 1 (log.f64 (.f64 alpha alpha))))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (fma.f64 (/.f64 (.f64 alpha alpha) (PI.f64)) (PI.f64) (neg.f64 (/.f64 (log.f64 (.f64 alpha alpha)) (log.f64 (.f64 alpha alpha))))) (log.f64 (.f64 alpha alpha))) (PI.f64))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (neg.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) 2))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (log.f64 (.f64 alpha alpha))) (neg.f64 (+.f64 (PI.f64) (.f64 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3) 1/3)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))) 3)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 1)
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(neg.f64 (.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) 1))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(neg.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) -1))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) 3))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))

eval2.2s (4.4%)

Compiler: Compiled 81675 to 41261 computations (49.5% saved)

prune1.7s (3.3%)

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	2915	19	2934
Fresh	10	14	24
Picked	0	1	1
Done	2	4	6
Total	2927	38	2965

Error

Counts

2965 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))))
	1.1b	(/.f64 (if (!=.f64 (-.f64 -1 (.f64 alpha alpha)) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 2)) (-.f64 -1 (.f64 alpha alpha))) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
	1.2b	(/.f64 (if (!=.f64 (+.f64 1 alpha) 0) (/.f64 (+.f64 alpha -1) (/.f64 1 (+.f64 1 alpha))) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
	0.6b	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha -1) (+.f64 1 alpha)) (PI.f64)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (log.f64 (*.f64 alpha alpha)))
	1.1b	(/.f64 (/.f64 (-.f64 (.f64 alpha (+.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)) (log.f64 (.f64 alpha alpha)))
	1.0b	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (log.f64 (.f64 alpha alpha))) (PI.f64))
▶	1.0b	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))
	40.0b	(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
▶	40.0b	(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
	1.2b	(/.f64 (-.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (-.f64 1 alpha) (PI.f64))) (log.f64 (.f64 alpha alpha)))
▶	1.1b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
	1.8b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (pow.f64 (cbrt.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) 3))
✓	0.5b	(/.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))))
	0.9b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
✓	1.0b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
✓	1.2b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)))
	1.2b	(/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
▶	1.2b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
	1.3b	(/.f64 (.f64 (+.f64 1 alpha) (if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (+.f64 alpha -1))) (/.f64 (+.f64 alpha -1) (PI.f64)))) (log.f64 (.f64 alpha alpha)))
	1.9b	(/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) 3)) (log.f64 (.f64 alpha alpha)))
	1.2b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha 1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
▶	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))
	1.0b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (neg.f64 cosTheta) cosTheta 1)))) (PI.f64))
✓	1.2b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (.f64 (/.f64 1 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))) (PI.f64))
	40.0b	(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
	40.0b	(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (log.f64 alpha) (PI.f64)))))
	40.0b	(/.f64 -1/2 (-.f64 1 (-.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
✓	40.0b	(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
	40.0b	(/.f64 -1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
	40.0b	(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
	40.0b	(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
	1.1b	(.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (PI.f64)))
	1.2b	(.f64 (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))) (+.f64 alpha 1))
	1.1b	(.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
	1.2b	(.f64 (/.f64 (+.f64 alpha 1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 alpha -1) (PI.f64)))
	1.2b	(.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))))
	1.2b	(.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 1 alpha))

Compiler

Compiled 1303 to 940 computations (27.9% saved)

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (-.f64 (.f64 alpha alpha) 1) cosTheta)
✓	0.3b	(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (.f64 alpha alpha) 1) cosTheta) cosTheta 1)))
✓	0.4b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))
✓	0.4b	(.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1))))

Compiler

Compiled 124 to 61 computations (50.8% saved)

series238.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))
1.0ms	alpha	@	inf	(.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1))))
1.0ms	alpha	@	0	(.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1))))
1.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))
1.0ms	alpha	@	inf	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))

Compiler

Compiled 25160 to 20385 computations (19% saved)

rewrite356.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

193×	`egg-rr`
173×	`egg-rr`
172×	`egg-rr`

Counts

3 → 538

Calls

Call 1

Inputs

(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1))))

(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))

(/.f64 (+.f64 alpha -1) (*.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (*.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))

Outputs

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3))))))

simplify2.4s (4.7%)

Algorithm

1×

egglog

Counts

610 → 843

Calls

Call 1

Inputs
(/.f64 -1/2 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))
(-.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))) (.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2))))) (pow.f64 alpha 2)) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 cosTheta 2) (.f64 (pow.f64 alpha 4) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))) (.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2))))))) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))) (.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2))))) (pow.f64 alpha 2))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))) (.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2))))) (pow.f64 alpha 6))) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 cosTheta 2) (.f64 (pow.f64 alpha 4) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))) (.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2))))))) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))) (.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2))))) (pow.f64 alpha 2)))) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (*.f64 -1 (pow.f64 cosTheta 2)))))))
(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))
(-.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 1 alpha)))))) (pow.f64 (/.f64 1 alpha) 2)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 1 alpha)))))) (pow.f64 (/.f64 1 alpha) 2)) (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 1 alpha)))))) (pow.f64 (/.f64 1 alpha) 4))) (pow.f64 cosTheta 2)))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 1 alpha)))))) (pow.f64 (/.f64 1 alpha) 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 1 alpha)))))) (.f64 (pow.f64 (/.f64 1 alpha) 6) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2))) (pow.f64 (pow.f64 cosTheta 2) 2)) (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 1 alpha)))))) (pow.f64 (/.f64 1 alpha) 4))) (pow.f64 cosTheta 2))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 1 alpha))))))
(/.f64 -1/2 (*.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 -1 alpha))))
(-.f64 (.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 -1 alpha))))) (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 -1 alpha))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 -1 alpha))))))
(-.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) (log.f64 (/.f64 -1 alpha))))) (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 -1 alpha)))))))) (pow.f64 cosTheta 2))) (.f64 (pow.f64 (/.f64 -1 alpha) 2) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 -1 alpha))))) (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) (.f64 (pow.f64 (pow.f64 cosTheta 2) 2) (log.f64 (/.f64 -1 alpha)))))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 cosTheta 2) (log.f64 (/.f64 -1 alpha))))))
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(.f64 (cbrt.f64 (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2))))
(/.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))
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(/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)))
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(/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (pow.f64 (+.f64 alpha -1) 2))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))
(/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 alpha -1)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (cbrt.f64 (pow.f64 (+.f64 alpha -1) 2))) (log.f64 (*.f64 alpha alpha)))
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(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) -1)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha -1) 2)) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (/.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)))
(/.f64 (.f64 (/.f64 (-.f64 1 alpha) (log.f64 (.f64 alpha alpha))) 1) (neg.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2)))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (.f64 (/.f64 (+.f64 alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 1) (log.f64 (*.f64 alpha alpha)))
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(/.f64 (.f64 (-.f64 1 (pow.f64 alpha 3)) (/.f64 1 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
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(/.f64 (/.f64 (-.f64 1 alpha) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (log.f64 (.f64 alpha alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) 2))
(/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 1) (log.f64 (.f64 alpha alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (cbrt.f64 (log.f64 (*.f64 alpha alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) -1) (neg.f64 (log.f64 (.f64 alpha alpha))))
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(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 2) 2))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)))
(/.f64 (/.f64 (+.f64 alpha -1) -1) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
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(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) 2))) (cbrt.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) 2)) (log.f64 (.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 1 (fma.f64 alpha alpha alpha))) 1))
(/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (-.f64 1 (pow.f64 alpha 3)) (.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (+.f64 1 (fma.f64 alpha alpha alpha))))
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(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 alpha 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (neg.f64 (/.f64 (+.f64 alpha -1) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (neg.f64 (log.f64 (.f64 alpha alpha))))
(/.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) -1)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 3)
(neg.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3))

Outputs
(/.f64 -1/2 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))
(/.f64 -1/2 (.f64 (log.f64 alpha) (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta)))))
(-.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))) (.f64 -1/2 (/.f64 (pow.f64 cosTheta 2) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2))) 2))))) (pow.f64 alpha 2)) (.f64 1/2 (/.f64 1 (.f64 (log.f64 alpha) (+.f64 1 (.f64 -1 (pow.f64 cosTheta 2)))))))
(fma.f64 (-.f64 (/.f64 1/2 (.f64 (log.f64 alpha) (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))))) (/.f64 (.f64 -1/2 (.f64 cosTheta cosTheta)) (.f64 (log.f64 alpha) (pow.f64 (+.f64 1 (neg.f64 (.f64 cosTheta cosTheta))) 2)))) (.f64 alpha alpha) (neg.f64 (/.f64 1/2 (.f64 (log.f64 alpha) (+.f64 1 (neg.f64 (*.f64 cosTheta cosTheta)))))))
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(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) -1)
(/.f64 (-.f64 1 alpha) (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3) 1/3)
(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 1)
(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) 3)
(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(neg.f64 (/.f64 (-.f64 1 alpha) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (-.f64 alpha 1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) 3))
(/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series5.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
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)

rewrite267.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

325× egg-rr

Counts

1 → 325

Calls

Call 1

Inputs
(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))

Outputs

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simplify760.0ms (1.5%)

Algorithm

1×

egglog

Counts

333 → 455

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)))
(fma.f64 0 1 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 0 0 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 0 -1/2 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 0 3 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 1 0 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
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(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) (/.f64 1/2 (PI.f64))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 1/2 (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (PI.f64))
(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (cbrt.f64 (log.f64 alpha))) (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))))
(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64))) 2))
(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (*.f64 (cbrt.f64 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (log.f64 alpha)))) (PI.f64)))
(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (cbrt.f64 (pow.f64 (.f64 (log.f64 alpha) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) 1) (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))) (cbrt.f64 (log.f64 alpha))) (*.f64 (PI.f64) (cbrt.f64 (log.f64 alpha))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64))) 2))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (.f64 (cbrt.f64 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (log.f64 alpha)))) (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1/8 (log.f64 alpha))) (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 (log.f64 alpha) (PI.f64))) (pow.f64 1/4 -1/3))
(/.f64 (/.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4))) 2))
(/.f64 (/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (cbrt.f64 (neg.f64 (PI.f64)))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 2)))
(/.f64 (/.f64 -1 (PI.f64)) (*.f64 (log.f64 alpha) 2))
(/.f64 (/.f64 1 (PI.f64)) (/.f64 (neg.f64 (log.f64 alpha)) 1/2))
(/.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) 1/2))
(/.f64 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))) -2)
(/.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) -1/2))
(/.f64 1 (/.f64 (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha))) -1))
(/.f64 1 (/.f64 (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) 1/2) -1))
(/.f64 (cbrt.f64 (/.f64 -1/8 (PI.f64))) (/.f64 (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) -1))
(/.f64 -1 (/.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2) -1))
(/.f64 (cbrt.f64 1/2) (.f64 (/.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4)) -1))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (log.f64 alpha)) 2)) (.f64 (.f64 (PI.f64) -2) (cbrt.f64 (log.f64 alpha))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (.f64 (PI.f64) -2) (*.f64 (cbrt.f64 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (log.f64 alpha))))))
(/.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) (.f64 (.f64 (PI.f64) -2) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))))
(/.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) -1/8)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 (PI.f64) (PI.f64)))) (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) -2)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (log.f64 alpha)) 2)) (.f64 (cbrt.f64 (log.f64 alpha)) (.f64 (PI.f64) -2)))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (/.f64 (log.f64 alpha) -1/8)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2)) (cbrt.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) -2)))
(/.f64 (/.f64 -1 (log.f64 alpha)) (*.f64 (PI.f64) 2))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))))) (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 0 (.f64 (log.f64 alpha) 2)) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1 (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (*.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (PI.f64)))) (.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 0 (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (/.f64 -1/8 (PI.f64))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)))) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)))))
(/.f64 (-.f64 (.f64 0 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) 1/2)) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (-.f64 0 (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (log.f64 alpha)))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))))) (.f64 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) -1/2)) (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (.f64 (neg.f64 (log.f64 alpha)) (/.f64 1/2 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))))) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (-.f64 (.f64 0 (.f64 (log.f64 alpha) 2)) (.f64 (neg.f64 (log.f64 alpha)) (/.f64 1 (PI.f64)))) (.f64 (neg.f64 (log.f64 alpha)) (*.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (log.f64 alpha)) (/.f64 -1/2 (PI.f64)))) (pow.f64 (log.f64 alpha) 2))
(/.f64 (-.f64 (.f64 0 (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (/.f64 -1/8 (PI.f64))))) (.f64 (neg.f64 (log.f64 alpha)) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)))) (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)))))
(/.f64 (-.f64 (.f64 0 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (neg.f64 (log.f64 alpha)) 1/2)) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (log.f64 alpha))))
(/.f64 (-.f64 0 (*.f64 (neg.f64 (log.f64 alpha)) (/.f64 1/2 (PI.f64)))) (neg.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (neg.f64 (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))))) (*.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (log.f64 alpha)) -1/2)) (.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (cbrt.f64 -1/4) (neg.f64 (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -1/2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 -1/2 (PI.f64)))) (cbrt.f64 (log.f64 alpha)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (pow.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 1/2 (log.f64 alpha)))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 1/2 (PI.f64)))) (cbrt.f64 (neg.f64 (log.f64 alpha))))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (.f64 (cbrt.f64 (log.f64 alpha)) (*.f64 (PI.f64) -2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 -1/2 (log.f64 alpha)))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) 1/2)) (cbrt.f64 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (/.f64 1/2 (PI.f64)) (neg.f64 (log.f64 alpha)))
(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 3) 1/3)
(pow.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2) -1)
(pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))) 3)
(pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 1)
(pow.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)) -1)
(neg.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(neg.f64 (.f64 (cbrt.f64 (/.f64 1/8 (.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 1/2 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))))
(neg.f64 (.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1/8 (.f64 (PI.f64) (PI.f64))))))
(neg.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -1/4))))
(neg.f64 (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64))) 0))
(neg.f64 (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64))) (/.f64 0 (log.f64 alpha))))
(cbrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 3))

Outputs
(/.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 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 1/2 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 0 1 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 0 0 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 0 -1/2 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 0 3 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(fma.f64 1 0 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(if (!=.f64 -1/2 0) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (.f64 (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 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 1/2 0) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 1 0) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (cbrt.f64 1/4) 0) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (cbrt.f64 (/.f64 1/4 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 -1/2 (PI.f64))) (/.f64 (log.f64 alpha) (cbrt.f64 (/.f64 1/4 (.f64 (PI.f64) (PI.f64)))))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (cbrt.f64 (/.f64 -1/8 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 -1 (PI.f64))) (/.f64 (log.f64 alpha) (cbrt.f64 (/.f64 1/8 (.f64 (PI.f64) (PI.f64)))))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (cbrt.f64 (/.f64 -1/2 (PI.f64))) 0) (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 (PI.f64) (PI.f64)))) (/.f64 (log.f64 alpha) (cbrt.f64 (/.f64 -1/2 (PI.f64))))) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (/.f64 (cbrt.f64 1/4) (PI.f64)) 0) (/.f64 (cbrt.f64 -1/2) (/.f64 (log.f64 alpha) (/.f64 (cbrt.f64 1/4) (PI.f64)))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 -1 (/.f64 (log.f64 alpha) (/.f64 1/2 (PI.f64)))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (/.f64 -1/2 (PI.f64)) 0) (/.f64 -1 (/.f64 (log.f64 alpha) (/.f64 1/2 (PI.f64)))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 -1 (/.f64 (log.f64 alpha) (/.f64 1/2 (PI.f64)))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (/.f64 1/2 (PI.f64)) 0) (/.f64 -1 (/.f64 (log.f64 alpha) (/.f64 1/2 (PI.f64)))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (cbrt.f64 (/.f64 -1/4 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 -1/2 (PI.f64))) (/.f64 (log.f64 alpha) (cbrt.f64 (/.f64 1/4 (.f64 (PI.f64) (PI.f64)))))) (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(if (!=.f64 (cbrt.f64 -1/4) 0) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))))
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(/.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 (log.f64 alpha) (PI.f64))) (pow.f64 1/4 -1/3))
(/.f64 (/.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4))) 2))
(/.f64 (cbrt.f64 -1/2) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4)))
(/.f64 (/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (cbrt.f64 (neg.f64 (PI.f64)))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 1/2 (log.f64 alpha)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 2)))
(/.f64 (/.f64 -1 (PI.f64)) (*.f64 (log.f64 alpha) 2))
(/.f64 (/.f64 (/.f64 -1 (PI.f64)) (log.f64 alpha)) 2)
(/.f64 (/.f64 1 (PI.f64)) (/.f64 (neg.f64 (log.f64 alpha)) 1/2))
(/.f64 (/.f64 1 (PI.f64)) (neg.f64 (/.f64 (log.f64 alpha) 1/2)))
(/.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) 1/2))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) 1/2) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (/.f64 1 (*.f64 (log.f64 alpha) (PI.f64))) -2)
(/.f64 1 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2))
(/.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)) -1/2))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (log.f64 alpha))) -1/2) (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (PI.f64)))
(/.f64 1 (/.f64 (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha))) -1))
(/.f64 1 (neg.f64 (/.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2) -1)))
(/.f64 1 (/.f64 (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) 1/2) -1))
(/.f64 (cbrt.f64 (/.f64 -1/8 (PI.f64))) (/.f64 (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) -1))
(/.f64 -1 (/.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2) -1))
(/.f64 (cbrt.f64 1/2) (.f64 (/.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4)) -1))
(/.f64 (/.f64 (cbrt.f64 1/2) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 1/4))) -1)
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (log.f64 alpha)) 2)) (.f64 (.f64 (PI.f64) -2) (cbrt.f64 (log.f64 alpha))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (.f64 (PI.f64) -2) (*.f64 (cbrt.f64 (log.f64 alpha)) (cbrt.f64 (cbrt.f64 (log.f64 alpha))))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (.f64 (PI.f64) -2) (cbrt.f64 (*.f64 (log.f64 alpha) (cbrt.f64 (log.f64 alpha))))))
(/.f64 (cbrt.f64 (/.f64 -1 (log.f64 alpha))) (.f64 (.f64 (PI.f64) -2) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))))
(/.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) -1/8)))
(/.f64 (/.f64 1 (log.f64 alpha)) (.f64 (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) -1/8)) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (.f64 (PI.f64) (PI.f64)))) (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) -2)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (log.f64 alpha)) 2)) (.f64 (cbrt.f64 (log.f64 alpha)) (.f64 (PI.f64) -2)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (log.f64 alpha)) 2)) (.f64 (.f64 (PI.f64) -2) (cbrt.f64 (log.f64 alpha))))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (cbrt.f64 (/.f64 (log.f64 alpha) -1/8)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2)) (cbrt.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) -2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (.f64 (*.f64 (log.f64 alpha) (PI.f64)) -2)))
(/.f64 (/.f64 -1 (log.f64 alpha)) (*.f64 (PI.f64) 2))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))))) (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (/.f64 1/2 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))))) (.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2)) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 0 (.f64 (log.f64 alpha) 2)) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1 (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (*.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 0 (/.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (PI.f64))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (.f64 0 (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 -1/2 (PI.f64)))) (.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (/.f64 -1/2 (PI.f64)))) (neg.f64 (log.f64 alpha))) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (-.f64 (.f64 0 (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (/.f64 -1/8 (PI.f64))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 (/.f64 -1/8 (PI.f64))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)))) (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)))))
(/.f64 (-.f64 0 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) -2))))
(/.f64 (-.f64 (.f64 0 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) 1/2)) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(/.f64 (-.f64 0 (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (log.f64 alpha)))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 1/2 (PI.f64)))) (neg.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (log.f64 alpha))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))))) (.f64 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (.f64 (log.f64 alpha) (PI.f64))) -1/2)) (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))
(/.f64 (+.f64 0 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -1/2)) (pow.f64 (*.f64 (log.f64 alpha) (PI.f64)) 2))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))) (.f64 (neg.f64 (log.f64 alpha)) (/.f64 1/2 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))))) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (+.f64 0 (.f64 (log.f64 alpha) (/.f64 1/2 (.f64 (PI.f64) (cbrt.f64 (log.f64 alpha)))))) (*.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (-.f64 (.f64 0 (.f64 (log.f64 alpha) 2)) (.f64 (neg.f64 (log.f64 alpha)) (/.f64 1 (PI.f64)))) (.f64 (neg.f64 (log.f64 alpha)) (*.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 0 (/.f64 (neg.f64 (log.f64 alpha)) (PI.f64))) (neg.f64 (.f64 (log.f64 alpha) (.f64 (log.f64 alpha) 2))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (log.f64 alpha)) (/.f64 -1/2 (PI.f64)))) (pow.f64 (log.f64 alpha) 2))
(/.f64 (+.f64 0 (*.f64 (log.f64 alpha) (/.f64 -1/2 (PI.f64)))) (pow.f64 (log.f64 alpha) 2))
(/.f64 (-.f64 (.f64 0 (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (/.f64 -1/8 (PI.f64))))) (.f64 (neg.f64 (log.f64 alpha)) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (+.f64 0 (.f64 (log.f64 alpha) (cbrt.f64 (/.f64 -1/8 (PI.f64))))) (.f64 (neg.f64 (log.f64 alpha)) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)))) (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)))))
(/.f64 (-.f64 0 (neg.f64 (log.f64 alpha))) (.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) -2))))
(/.f64 (-.f64 (.f64 0 (.f64 (log.f64 alpha) (PI.f64))) (.f64 (neg.f64 (log.f64 alpha)) 1/2)) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (log.f64 alpha))))
(/.f64 (+.f64 0 (.f64 (log.f64 alpha) 1/2)) (neg.f64 (.f64 (*.f64 (log.f64 alpha) (PI.f64)) (log.f64 alpha))))
(/.f64 (-.f64 0 (*.f64 (neg.f64 (log.f64 alpha)) (/.f64 1/2 (PI.f64)))) (neg.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 alpha)) (/.f64 1/2 (PI.f64)))) (neg.f64 (pow.f64 (log.f64 alpha) 2)))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))) (.f64 (neg.f64 (log.f64 alpha)) (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))))) (*.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))))
(/.f64 (+.f64 0 (.f64 (log.f64 alpha) (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))))) (.f64 (neg.f64 (log.f64 alpha)) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 alpha) 2)))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (.f64 (log.f64 alpha) (PI.f64)))) (.f64 (neg.f64 (log.f64 alpha)) -1/2)) (.f64 (neg.f64 (log.f64 alpha)) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (/.f64 (+.f64 0 (.f64 (log.f64 alpha) -1/2)) (neg.f64 (log.f64 alpha))) (neg.f64 (.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (cbrt.f64 -1/4) (neg.f64 (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -1/2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 -1/2 (PI.f64)))) (cbrt.f64 (log.f64 alpha)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 -1/2 (PI.f64))) (log.f64 alpha)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (pow.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 -1/2 (PI.f64)) (cbrt.f64 (log.f64 alpha))) (pow.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2) 2)) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 1/2 (log.f64 alpha)))) (cbrt.f64 (neg.f64 (PI.f64))))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 1/2 (log.f64 alpha))) (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 1/2 (PI.f64)))) (cbrt.f64 (neg.f64 (log.f64 alpha))))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 1/2 (PI.f64))) (neg.f64 (log.f64 alpha))))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (.f64 (cbrt.f64 (log.f64 alpha)) (*.f64 (PI.f64) -2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (.f64 (*.f64 (PI.f64) -2) (cbrt.f64 (log.f64 alpha)))) (cbrt.f64 (pow.f64 (log.f64 alpha) 2))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 -1/2 (log.f64 alpha)))) (cbrt.f64 (PI.f64)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) (/.f64 -1/2 (log.f64 alpha))) (PI.f64)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) 1/2)) (cbrt.f64 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (/.f64 -1/2 (.f64 (log.f64 alpha) (PI.f64))) 2) 1/2) (neg.f64 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (/.f64 1/2 (PI.f64)) (neg.f64 (log.f64 alpha)))
(/.f64 1/2 (neg.f64 (*.f64 (log.f64 alpha) (PI.f64))))
(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 3) 1/3)
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(pow.f64 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2) -1)
(/.f64 1 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2))
(pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))) 3)
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 1)
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
(pow.f64 (.f64 (.f64 (PI.f64) -2) (log.f64 alpha)) -1)
(/.f64 1 (.f64 (.f64 (log.f64 alpha) (PI.f64)) -2))
(neg.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64))))
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(neg.f64 (.f64 (cbrt.f64 (/.f64 1/8 (.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1/8 (.f64 (PI.f64) (PI.f64)))) (/.f64 1 (log.f64 alpha))) (cbrt.f64 (PI.f64))))
(neg.f64 (.f64 (/.f64 1/2 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))))
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(neg.f64 (.f64 (/.f64 (/.f64 1 (log.f64 alpha)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1/8 (.f64 (PI.f64) (PI.f64))))))
(neg.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1/8 (.f64 (PI.f64) (PI.f64)))) (/.f64 1 (log.f64 alpha))) (cbrt.f64 (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (*.f64 (log.f64 alpha) (PI.f64)) (cbrt.f64 -1/4))))
(neg.f64 (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64))) 0))
(/.f64 (neg.f64 1/2) (*.f64 (log.f64 alpha) (PI.f64)))
(neg.f64 (-.f64 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64))) (/.f64 0 (log.f64 alpha))))
(-.f64 (/.f64 0 (log.f64 alpha)) (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64))) 3))
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (*.f64 alpha alpha) 1)
	0.1b	(log.f64 (*.f64 alpha alpha))
✓	0.3b	(/.f64 (-.f64 (*.f64 alpha alpha) 1) (PI.f64))
✓	0.4b	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))

Compiler

Compiled 36 to 15 computations (58.3% saved)

series27.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	inf	(/.f64 (-.f64 (*.f64 alpha alpha) 1) (PI.f64))
1.0ms	alpha	@	-inf	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))
0.0ms	alpha	@	0	(/.f64 (-.f64 (*.f64 alpha alpha) 1) (PI.f64))
0.0ms	alpha	@	inf	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))

Compiler

Compiled 1770 to 1290 computations (27.1% saved)

rewrite253.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

224×	`egg-rr`
173×	`egg-rr`

Counts

2 → 397

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (PI.f64))

Outputs

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simplify1.1s (2.3%)

Algorithm

1×

egglog

Counts

409 → 518

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 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(if (!=.f64 1 0) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 0) (/.f64 (fma.f64 alpha alpha -1) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 0) (/.f64 (+.f64 1 alpha) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (+.f64 alpha -1) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) 0) (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 0) (/.f64 1 (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (fma.f64 alpha alpha -1) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 1 (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 -1 (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (/.f64 (log.f64 (.f64 alpha alpha)) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 -1 (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (neg.f64 (fma.f64 alpha alpha -1)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 1 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (/.f64 1 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (+.f64 1 alpha) 0) (/.f64 (+.f64 alpha -1) (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 alpha))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (cbrt.f64 (fma.f64 alpha alpha -1)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) 2) 0) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) 2))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))) (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) 0) (/.f64 1 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 -1 (/.f64 (neg.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (neg.f64 (fma.f64 alpha alpha -1)) 0) (/.f64 1 (/.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 alpha alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
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(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))))
(.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))))
(.f64 (.f64 (PI.f64) (fma.f64 alpha alpha -1)) (/.f64 1 (*.f64 (PI.f64) (PI.f64))))
(.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))))
(.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 1 (.f64 (PI.f64) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 (/.f64 -1 (PI.f64)) 1))
(*.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 -1 (PI.f64)) -1))
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1) (/.f64 1 -1))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (PI.f64))) 1) (/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 1))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (PI.f64))) -1) (/.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) -1))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 1) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 1))
(.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) -1) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) -1))
(*.f64 (/.f64 (+.f64 1 alpha) -1) (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) -1))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) -1) (/.f64 (fma.f64 alpha alpha -1) -1))
(*.f64 (/.f64 1 -1) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) -1) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) -1))
(*.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 (/.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) -1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) -1))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) -1) (/.f64 (/.f64 1 (PI.f64)) -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 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64)) (cbrt.f64 (fma.f64 alpha alpha -1)))
(.f64 (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))) 2) 2) (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (/.f64 1 (PI.f64))))
(*.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 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) -1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) -1))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (PI.f64) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (PI.f64) (fma.f64 alpha alpha -1)) (.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(/.f64 (.f64 (/.f64 1 (PI.f64)) (-.f64 1 (pow.f64 (.f64 alpha alpha) 3))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1)))) (cbrt.f64 (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 (.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (PI.f64))) (+.f64 alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) (fma.f64 alpha alpha -1)) 1) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64)) 1) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 1 (PI.f64))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 -1 (PI.f64))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (PI.f64))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) -1)
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1) -1)
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (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 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 alpha alpha -1)) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64)) (cbrt.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64)) 1) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (PI.f64) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (.f64 (.f64 (PI.f64) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 2))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (neg.f64 (PI.f64)) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (/.f64 1 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (PI.f64)) (neg.f64 (PI.f64))) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (neg.f64 (PI.f64))) (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (/.f64 1 (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (cbrt.f64 (PI.f64))) (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (cbrt.f64 (PI.f64))) (neg.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) -1)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 (/.f64 1 (PI.f64))))) (.f64 (PI.f64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (neg.f64 (PI.f64))) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (-.f64 1 (pow.f64 (.f64 alpha alpha) 3))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (PI.f64) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (neg.f64 (.f64 (PI.f64) (fma.f64 alpha alpha -1))) (neg.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64))) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(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)
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3))

Outputs
(/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.f64 1/2 (*.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 (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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.f64 (log.f64 (/.f64 1 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 (pow.f64 (/.f64 -1 alpha) -2)) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(if (!=.f64 1 0) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 0) (/.f64 (fma.f64 alpha alpha -1) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(if (!=.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (log.f64 (.f64 alpha alpha)) (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
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(/.f64 (.f64 (PI.f64) (fma.f64 alpha alpha -1)) (.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 alpha alpha -1)) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (.f64 (/.f64 1 (PI.f64)) (-.f64 1 (pow.f64 (.f64 alpha alpha) 3))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (fma.f64 alpha alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (pow.f64 (fma.f64 alpha alpha -1) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2)) (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1)))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (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 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2) (fma.f64 alpha alpha -1))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (PI.f64))) (+.f64 alpha -1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha -1)) (PI.f64))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (.f64 (.f64 (PI.f64) (fma.f64 alpha alpha -1)) 1) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 alpha alpha -1)) (PI.f64)) (PI.f64))
(/.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64)) 1) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 1 (PI.f64))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (/.f64 -1 (PI.f64))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) -1) (PI.f64)) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 alpha -1)) (PI.f64))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (PI.f64))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) (+.f64 alpha -1)) (PI.f64)) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 alpha alpha -1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (neg.f64 (fma.f64 alpha alpha -1)) (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2) (fma.f64 alpha alpha -1))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha alpha -1) 2)) (PI.f64))) (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) -1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1) -1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (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 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 alpha alpha -1)) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64)) (cbrt.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 2))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64)) 1) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (PI.f64) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (.f64 (.f64 (PI.f64) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 3) -1) (.f64 (+.f64 (PI.f64) (.f64 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64))) (+.f64 (+.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (pow.f64 (pow.f64 (.f64 alpha alpha) 3) 2))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (.f64 (neg.f64 (PI.f64)) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (/.f64 1 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (+.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 (/.f64 1 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (PI.f64)) (neg.f64 (PI.f64))) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (PI.f64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (neg.f64 (PI.f64))) (PI.f64)) (*.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(/.f64 (fma.f64 (neg.f64 (.f64 alpha alpha)) (neg.f64 (PI.f64)) (neg.f64 (PI.f64))) (.f64 (PI.f64) (PI.f64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (/.f64 1 (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 alpha alpha) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 1 (PI.f64))))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 2))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (cbrt.f64 (PI.f64))) (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (fma.f64 (/.f64 (.f64 alpha alpha) (cbrt.f64 (PI.f64))) (PI.f64) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 alpha alpha) (cbrt.f64 (PI.f64))) (neg.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) -1)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (/.f64 (.f64 (neg.f64 (.f64 alpha alpha)) (PI.f64)) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 (/.f64 1 (PI.f64))))) (.f64 (PI.f64) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (fma.f64 (.f64 alpha alpha) (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (/.f64 1 (PI.f64))))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (neg.f64 (PI.f64))) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (.f64 (.f64 alpha alpha) (PI.f64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (-.f64 1 (pow.f64 (.f64 alpha alpha) 3))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (-.f64 1 (pow.f64 (.f64 alpha alpha) 3))) (neg.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (PI.f64) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) 1))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64))))
(/.f64 (neg.f64 (.f64 (PI.f64) (fma.f64 alpha alpha -1))) (neg.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (*.f64 (PI.f64) (fma.f64 alpha alpha -1)) (PI.f64)) (PI.f64))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (.f64 (PI.f64) (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))))
(/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (neg.f64 (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (PI.f64))) (neg.f64 (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 (PI.f64) (.f64 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)) (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) 3)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3) 1/3)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(log.f64 (*.f64 alpha alpha))
✓	0.3b	(*.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1))
✓	0.4b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
✓	0.4b	(/.f64 (+.f64 alpha 1) (PI.f64))

Compiler

Compiled 47 to 27 computations (42.6% saved)

series17.0ms (0%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (PI.f64))
0.0ms	alpha	@	-inf	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
0.0ms	alpha	@	0	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
0.0ms	alpha	@	inf	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
0.0ms	alpha	@	inf	(/.f64 (+.f64 alpha 1) (PI.f64))

Compiler

Compiled 2130 to 1440 computations (32.4% saved)

rewrite194.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

166×	`egg-rr`
153×	`egg-rr`
108×	`egg-rr`

Counts

3 → 427

Calls

Call 1

Inputs
(/.f64 (+.f64 alpha 1) (PI.f64))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1))

Outputs

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simplify812.0ms (1.6%)

Algorithm

1×

egglog

Counts

441 → 562

Calls

Call 1

Inputs
(/.f64 alpha (PI.f64))
(/.f64 alpha (PI.f64))
(/.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 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 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 1 (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))) (.f64 -1/2 (/.f64 (pow.f64 (/.f64 -1 alpha) -2) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))))
(if (!=.f64 1 0) (/.f64 (+.f64 alpha 1) (PI.f64)) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (-.f64 -1 alpha) 0) (/.f64 1 (/.f64 (PI.f64) (+.f64 alpha 1))) (/.f64 (+.f64 alpha 1) (PI.f64)))
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(if (!=.f64 (-.f64 -1 alpha) 0) (/.f64 -1 (/.f64 (PI.f64) (-.f64 -1 alpha))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (+.f64 alpha 1)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (/.f64 (PI.f64) (cbrt.f64 (+.f64 alpha 1)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (PI.f64) (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (-.f64 -1 alpha) (/.f64 1 (/.f64 -1 (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))))) (/.f64 (+.f64 alpha 1) (PI.f64)))
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(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 1 (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) 0) (/.f64 1 (/.f64 1 (/.f64 (+.f64 alpha 1) (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (+.f64 alpha 1) (PI.f64)))
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(if (!=.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) 0) (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) -1)) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) 0) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (+.f64 alpha 1) 0) (/.f64 1 (/.f64 (PI.f64) (+.f64 alpha 1))) (/.f64 (+.f64 alpha 1) (PI.f64)))
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(if (!=.f64 (+.f64 alpha 1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (+.f64 alpha 1))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(+.f64 (/.f64 alpha (PI.f64)) (/.f64 1 (PI.f64)))
(+.f64 (/.f64 1 (PI.f64)) (/.f64 alpha (PI.f64)))
(-.f64 0 (/.f64 (-.f64 -1 alpha) (PI.f64)))
(-.f64 (/.f64 alpha (PI.f64)) (/.f64 -1 (PI.f64)))
(-.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (-.f64 -1 alpha) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 alpha 1)) (PI.f64)) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))))
(*.f64 1 (/.f64 (+.f64 alpha 1) (PI.f64)))
(.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (PI.f64)))
(*.f64 (+.f64 alpha 1) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (+.f64 alpha 1))
(*.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) 1)
(*.f64 -1 (/.f64 (-.f64 -1 alpha) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (PI.f64)) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) -1)
(.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (+.f64 alpha 1))) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (PI.f64)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)))
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(.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))))
(.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha))))
(.f64 (cbrt.f64 (/.f64 -1 (PI.f64))) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (PI.f64))) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 alpha 1)) -1) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2))) (PI.f64)))
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(*.f64 (/.f64 (cbrt.f64 (-.f64 -1 alpha)) 1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (neg.f64 (PI.f64))))
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(.f64 (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))) (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (+.f64 alpha 1) -1) (/.f64 -1 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) -1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (neg.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (cbrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 alpha 1)) -1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (neg.f64 (PI.f64))))
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(.f64 (cbrt.f64 (/.f64 -1 (.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (PI.f64))))
(*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)) (PI.f64)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (PI.f64)) (/.f64 (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)) 1))
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(/.f64 (.f64 -1 (+.f64 -1 (neg.f64 (pow.f64 alpha 3)))) (.f64 (neg.f64 (PI.f64)) (neg.f64 (-.f64 (fma.f64 alpha alpha 1) alpha))))
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(/.f64 (+.f64 (.f64 (.f64 alpha (-.f64 -1 alpha)) (neg.f64 (PI.f64))) (.f64 (neg.f64 (PI.f64)) (+.f64 alpha 1))) (.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (.f64 (fma.f64 alpha alpha alpha) (PI.f64)) (.f64 (PI.f64) (-.f64 -1 alpha))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (.f64 (.f64 alpha (-.f64 -1 alpha)) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (-.f64 -1 alpha))) (.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (+.f64 (.f64 (+.f64 alpha 1) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (fma.f64 alpha alpha alpha))) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (+.f64 (.f64 (-.f64 -1 alpha) (PI.f64)) (.f64 (PI.f64) (fma.f64 alpha alpha alpha))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (.f64 (+.f64 alpha 1) (neg.f64 (PI.f64))) (.f64 (neg.f64 (PI.f64)) (.f64 alpha (-.f64 -1 alpha)))) (.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (.f64 (-.f64 -1 alpha) (neg.f64 (PI.f64))) (.f64 (PI.f64) (.f64 alpha (-.f64 -1 alpha)))) (.f64 (PI.f64) (neg.f64 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))) (+.f64 (pow.f64 alpha 3) -1)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (PI.f64)) (+.f64 (pow.f64 alpha 3) -1)) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (+.f64 alpha 1) (-.f64 1 (pow.f64 alpha 3))) (.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 (pow.f64 alpha 3))) (.f64 (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (-.f64 -1 alpha) (-.f64 1 (pow.f64 alpha 3))) (.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))) (-.f64 1 (pow.f64 alpha 3))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (PI.f64)) (-.f64 1 (pow.f64 alpha 3))) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (neg.f64 (neg.f64 (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(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)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) 3)
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3))

Outputs
(/.f64 alpha (PI.f64))
(/.f64 alpha (PI.f64))
(/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.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)))))
(fma.f64 1/2 (/.f64 (.f64 alpha alpha) (.f64 (log.f64 alpha) (PI.f64))) (neg.f64 (/.f64 1/2 (*.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 (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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.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)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (/.f64 1 alpha) -2) (.f64 (log.f64 (/.f64 1 alpha)) (PI.f64))) (/.f64 1/2 (.f64 (log.f64 (/.f64 1 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 (pow.f64 (/.f64 -1 alpha) -2)) (.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 alpha)) (PI.f64))) (/.f64 (.f64 -1/2 (pow.f64 (/.f64 -1 alpha) -2)) (*.f64 (log.f64 (/.f64 -1 alpha)) (PI.f64))))
(if (!=.f64 1 0) (/.f64 (+.f64 alpha 1) (PI.f64)) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (-.f64 -1 alpha) 0) (/.f64 1 (/.f64 (PI.f64) (+.f64 alpha 1))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2))) 0) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (-.f64 -1 alpha) 0) (/.f64 -1 (/.f64 (PI.f64) (-.f64 -1 alpha))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (+.f64 alpha 1)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (/.f64 (PI.f64) (cbrt.f64 (+.f64 alpha 1)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (PI.f64) (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (-.f64 -1 alpha) (/.f64 1 (/.f64 -1 (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 0) (/.f64 -1 (/.f64 1 (/.f64 (-.f64 -1 alpha) (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (PI.f64)) 0) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 1 (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) 0) (/.f64 1 (/.f64 1 (/.f64 (+.f64 alpha 1) (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 1 (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (/.f64 1 (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) 0) (/.f64 1 (pow.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) -1)) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) 0) (/.f64 1 (/.f64 1 (/.f64 (+.f64 alpha 1) (PI.f64)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) 0) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (+.f64 alpha 1) 0) (/.f64 1 (/.f64 (PI.f64) (+.f64 alpha 1))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) 0) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) 0) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (neg.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2))))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (+.f64 alpha 1) 0) (/.f64 -1 (/.f64 (neg.f64 (PI.f64)) (+.f64 alpha 1))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (+.f64 alpha 1) 0) (/.f64 -1 (neg.f64 (/.f64 (PI.f64) (+.f64 alpha 1)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(if (!=.f64 (+.f64 alpha 1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (+.f64 alpha 1))) (/.f64 (+.f64 alpha 1) (PI.f64)))
(+.f64 (/.f64 alpha (PI.f64)) (/.f64 1 (PI.f64)))
(/.f64 (+.f64 alpha 1) (PI.f64))
(+.f64 (/.f64 1 (PI.f64)) (/.f64 alpha (PI.f64)))
(/.f64 (+.f64 alpha 1) (PI.f64))
(-.f64 0 (/.f64 (-.f64 -1 alpha) (PI.f64)))
(/.f64 (-.f64 alpha -1) (PI.f64))
(-.f64 (/.f64 alpha (PI.f64)) (/.f64 -1 (PI.f64)))
(/.f64 (-.f64 alpha -1) (PI.f64))
(-.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (-.f64 -1 alpha) (PI.f64)))
(+.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (-.f64 alpha -1) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 alpha 1)) (PI.f64)) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (cbrt.f64 (+.f64 alpha 1))) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2) (/.f64 (+.f64 alpha 1) (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2) (/.f64 (+.f64 alpha 1) (PI.f64))))
(*.f64 1 (/.f64 (+.f64 alpha 1) (PI.f64)))
(/.f64 (+.f64 alpha 1) (PI.f64))
(.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 alpha 1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (cbrt.f64 (+.f64 alpha 1))) (PI.f64))
(*.f64 (+.f64 alpha 1) (/.f64 1 (PI.f64)))
(/.f64 (+.f64 alpha 1) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (+.f64 alpha 1))
(/.f64 (+.f64 alpha 1) (PI.f64))
(*.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) 1)
(/.f64 (+.f64 alpha 1) (PI.f64))
(*.f64 -1 (/.f64 (-.f64 -1 alpha) (PI.f64)))
(/.f64 (-.f64 alpha -1) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (PI.f64)) (cbrt.f64 (+.f64 alpha 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (cbrt.f64 (+.f64 alpha 1))) (PI.f64))
(*.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) -1)
(/.f64 (-.f64 alpha -1) (PI.f64))
(.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (+.f64 alpha 1)) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (+.f64 alpha 1))) (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (cbrt.f64 (+.f64 alpha 1))) (PI.f64))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (PI.f64)) (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)) (cbrt.f64 (+.f64 alpha 1))) (PI.f64))
(.f64 (+.f64 1 (pow.f64 alpha 3)) (.f64 (/.f64 1 (-.f64 (fma.f64 alpha alpha 1) alpha)) (/.f64 1 (PI.f64))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (PI.f64))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2))))
(neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2))))
(.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (PI.f64) (PI.f64)))) (+.f64 alpha 1)) (cbrt.f64 (PI.f64)))
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(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)))
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(/.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (PI.f64))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 1) 2)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
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(/.f64 (.f64 (+.f64 alpha -1) (+.f64 alpha 1)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
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(/.f64 (.f64 (+.f64 alpha 1) (-.f64 1 (pow.f64 alpha 3))) (.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha -1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (+.f64 alpha -1) (+.f64 alpha 1)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 alpha -1) (PI.f64))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (/.f64 (+.f64 alpha -1) (PI.f64))) (neg.f64 (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (PI.f64)) (neg.f64 (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 2) (fma.f64 alpha alpha -1))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) -1)) (/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 alpha) 2)) (+.f64 alpha 1)) (PI.f64))) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (/.f64 1 (PI.f64))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 1 (PI.f64))) (+.f64 (pow.f64 (*.f64 alpha alpha) 2) (fma.f64 alpha alpha 1)))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (PI.f64) (+.f64 (pow.f64 (*.f64 alpha alpha) 2) (fma.f64 alpha alpha 1))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (/.f64 1 (PI.f64))) (*.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (PI.f64) (*.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (/.f64 1 (PI.f64))) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 1 (fma.f64 alpha alpha alpha))) (PI.f64))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 alpha 3) -1) (-.f64 -1 alpha)) 1) (neg.f64 (*.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (PI.f64))))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) -1) (-.f64 -1 alpha)) (.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (PI.f64)) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 1 (fma.f64 alpha alpha alpha))) (PI.f64))
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (PI.f64)) (+.f64 alpha -1)) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 alpha -1)) (.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 alpha)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)) (+.f64 alpha -1))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (.f64 (-.f64 -1 alpha) (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2))) (+.f64 alpha -1)) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (+.f64 alpha 1)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2)) (+.f64 alpha -1))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (PI.f64)) 2) (+.f64 alpha 1))) (+.f64 alpha -1)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) -1) -1)
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (neg.f64 -1))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (PI.f64)) 1) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 1 (fma.f64 alpha alpha alpha))) (PI.f64))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (PI.f64)) (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 alpha alpha alpha))) 2))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)) -1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) -1) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (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 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (cbrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) 1) (neg.f64 (PI.f64)))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (PI.f64) (+.f64 (pow.f64 (*.f64 alpha alpha) 2) (fma.f64 alpha alpha 1))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (PI.f64) (*.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (+.f64 (.f64 (fma.f64 alpha alpha alpha) (neg.f64 (PI.f64))) (.f64 (PI.f64) (+.f64 alpha 1))) (*.f64 (PI.f64) (neg.f64 (PI.f64))))
(/.f64 (fma.f64 (+.f64 alpha 1) (PI.f64) (neg.f64 (.f64 (fma.f64 alpha alpha alpha) (PI.f64)))) (neg.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (+.f64 (.f64 (.f64 alpha (-.f64 -1 alpha)) (neg.f64 (PI.f64))) (.f64 (neg.f64 (PI.f64)) (+.f64 alpha 1))) (.f64 (PI.f64) (PI.f64)))
(/.f64 (fma.f64 (+.f64 alpha 1) (neg.f64 (PI.f64)) (neg.f64 (.f64 (.f64 alpha (-.f64 -1 alpha)) (PI.f64)))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (.f64 (fma.f64 alpha alpha alpha) (PI.f64)) (.f64 (PI.f64) (-.f64 -1 alpha))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (fma.f64 alpha alpha alpha) (-.f64 -1 alpha)) (PI.f64))
(/.f64 (+.f64 (.f64 (.f64 alpha (-.f64 -1 alpha)) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (-.f64 -1 alpha))) (.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (fma.f64 (.f64 alpha (-.f64 -1 alpha)) (PI.f64) (neg.f64 (.f64 (PI.f64) (-.f64 -1 alpha)))) (neg.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (+.f64 (.f64 (+.f64 alpha 1) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (fma.f64 alpha alpha alpha))) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (fma.f64 (+.f64 alpha 1) (PI.f64) (neg.f64 (.f64 (fma.f64 alpha alpha alpha) (PI.f64)))) (neg.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (+.f64 (.f64 (-.f64 -1 alpha) (PI.f64)) (.f64 (PI.f64) (fma.f64 alpha alpha alpha))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (fma.f64 alpha alpha alpha) (-.f64 -1 alpha)) (PI.f64))
(/.f64 (+.f64 (.f64 (+.f64 alpha 1) (neg.f64 (PI.f64))) (.f64 (neg.f64 (PI.f64)) (.f64 alpha (-.f64 -1 alpha)))) (.f64 (PI.f64) (PI.f64)))
(/.f64 (fma.f64 (+.f64 alpha 1) (neg.f64 (PI.f64)) (neg.f64 (.f64 (.f64 alpha (-.f64 -1 alpha)) (PI.f64)))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (.f64 (-.f64 -1 alpha) (neg.f64 (PI.f64))) (.f64 (PI.f64) (.f64 alpha (-.f64 -1 alpha)))) (.f64 (PI.f64) (neg.f64 (PI.f64))))
(/.f64 (fma.f64 (.f64 alpha (-.f64 -1 alpha)) (PI.f64) (neg.f64 (.f64 (PI.f64) (-.f64 -1 alpha)))) (neg.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (PI.f64) (*.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))) (+.f64 (pow.f64 alpha 3) -1)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (PI.f64)) (+.f64 (pow.f64 alpha 3) -1)) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha 3) -1)) (PI.f64)) (-.f64 (fma.f64 alpha alpha 1) alpha)) (+.f64 1 (fma.f64 alpha alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (-.f64 1 (pow.f64 alpha 3))) (.f64 (PI.f64) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 (pow.f64 alpha 3))) (.f64 (*.f64 (PI.f64) (-.f64 (fma.f64 alpha alpha 1) alpha)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 (pow.f64 alpha 3))) (PI.f64)) (-.f64 (fma.f64 alpha alpha 1) alpha)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (-.f64 -1 alpha) (-.f64 1 (pow.f64 alpha 3))) (.f64 (neg.f64 (PI.f64)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (.f64 (-.f64 -1 alpha) (-.f64 1 (pow.f64 alpha 3))) (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (PI.f64)))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (cbrt.f64 (PI.f64))) (-.f64 1 (pow.f64 alpha 3))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha 1) (-.f64 1 (pow.f64 alpha 3))) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (PI.f64)) (-.f64 1 (pow.f64 alpha 3))) (.f64 (-.f64 (fma.f64 alpha alpha 1) alpha) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 1 (pow.f64 alpha 3))) (PI.f64)) (-.f64 (fma.f64 alpha alpha 1) alpha)) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (neg.f64 (neg.f64 (.f64 (+.f64 1 (fma.f64 alpha alpha alpha)) (PI.f64)))))
(/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 1 (fma.f64 alpha alpha alpha))) (PI.f64))
(/.f64 (neg.f64 (/.f64 (fma.f64 alpha alpha -1) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (PI.f64))) (neg.f64 (+.f64 1 (fma.f64 alpha alpha alpha))))
(/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 alpha 3) -1)) (+.f64 1 (fma.f64 alpha alpha alpha))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3) 1/3)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 1)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64))) 3)
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (fma.f64 alpha alpha -1)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) 3))
(/.f64 (fma.f64 alpha alpha -1) (PI.f64))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (log.f64 (*.f64 alpha alpha)))
✓	0.3b	(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
	0.3b	(.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))
✓	0.3b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))

Compiler

Compiled 92 to 32 computations (65.2% saved)

series39.0ms (0.1%)

Counts

2 → 4

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	inf	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
1.0ms	alpha	@	0	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
1.0ms	alpha	@	-inf	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
0.0ms	alpha	@	-inf	(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
0.0ms	alpha	@	inf	(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))

Compiler

Compiled 3735 to 3010 computations (19.4% saved)

rewrite238.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

159×	`egg-rr`
60×	`egg-rr`

Counts

2 → 219

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (*.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) (*.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))

(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))

Outputs

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simplify604.0ms (1.2%)

Algorithm

1×

egglog

Counts

223 → 294

Calls

Call 1

Inputs
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(-.f64 0 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(-.f64 (/.f64 0 (/.f64 -1 (log.f64 (.f64 alpha alpha)))) (/.f64 (PI.f64) (/.f64 -1 (log.f64 (.f64 alpha alpha)))))
(.f64 -1 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (.f64 alpha alpha)))))
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(.f64 1 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
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(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) (cbrt.f64 (PI.f64)))
(.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))) (/.f64 1 (log.f64 (*.f64 alpha alpha))))))
(.f64 (neg.f64 (PI.f64)) (.f64 (/.f64 1 (/.f64 -1 (log.f64 (*.f64 alpha alpha)))) 1))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) (.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))) 1))
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(/.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 1)
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1) (neg.f64 (PI.f64))) -1)
(/.f64 (.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2))) (cbrt.f64 (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) -1)
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))))) 2) 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) (neg.f64 (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)) -1))
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(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) 1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(/.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2))) (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) 1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2))))
(/.f64 (neg.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha)))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))) 3)
(pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 1)
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(neg.f64 (.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (.f64 alpha alpha)))) 1))
(neg.f64 (.f64 -1 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha))))))
(neg.f64 (.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) -1))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 3))

Outputs
(/.f64 -1 (if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64))))
(/.f64 -1 (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (.f64 (PI.f64) (log.f64 (*.f64 alpha alpha)))))
(-.f64 (/.f64 (pow.f64 alpha 2) (if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (/.f64 1 (if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))))
(-.f64 (/.f64 (pow.f64 alpha 2) (if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (/.f64 1 (if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))))
(-.f64 (/.f64 (pow.f64 alpha 2) (if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))) (/.f64 1 (if (!=.f64 (log.f64 (pow.f64 alpha 2)) 0) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)) (.f64 (log.f64 (pow.f64 alpha 2)) (PI.f64)))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))))
(fma.f64 alpha (/.f64 alpha (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))))) (/.f64 -1 (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))))))
(fma.f64 (cbrt.f64 (.f64 alpha alpha)) (/.f64 (.f64 alpha (cbrt.f64 alpha)) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))))) (/.f64 -1 (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))))))
(fma.f64 1 (/.f64 (.f64 alpha alpha) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))))) (/.f64 -1 (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha alpha -1))) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 alpha alpha -1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))))) 3))
(/.f64 (fma.f64 alpha alpha -1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (PI.f64) 0) (pow.f64 (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (PI.f64)) -1) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (PI.f64) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (PI.f64))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (neg.f64 (log.f64 (.f64 alpha alpha))) 0) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (neg.f64 (PI.f64))) (/.f64 (/.f64 -1 (log.f64 (.f64 alpha alpha))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (PI.f64) 0) (/.f64 -1 (/.f64 (/.f64 -1 (log.f64 (.f64 alpha alpha))) (PI.f64))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (pow.f64 (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (PI.f64)) -1) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (/.f64 1 (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (PI.f64))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 1 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (cbrt.f64 (PI.f64)) 0) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (cbrt.f64 (PI.f64)))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) 0) (.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) 0) (/.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2))) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(if (!=.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 0) (/.f64 1 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) -1)) (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(if (!=.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 0) (pow.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha))))) -1) (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(if (!=.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(-.f64 0 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(-.f64 (/.f64 0 (/.f64 -1 (log.f64 (.f64 alpha alpha)))) (/.f64 (PI.f64) (/.f64 -1 (log.f64 (.f64 alpha alpha)))))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(.f64 -1 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (.f64 alpha alpha)))))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 2)))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2)) (cbrt.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 1 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 1)
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (/.f64 -1 (log.f64 (.f64 alpha alpha)))))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (PI.f64) (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1) (PI.f64))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (/.f64 1 (/.f64 -1 (log.f64 (.f64 alpha alpha)))) (neg.f64 (PI.f64)))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) -1)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.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))) (/.f64 1 (log.f64 (*.f64 alpha alpha))))))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (/.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(.f64 (neg.f64 (PI.f64)) (.f64 (/.f64 1 (/.f64 -1 (log.f64 (*.f64 alpha alpha)))) 1))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) (.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))) 1))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 1))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 1)
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2)) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2) (neg.f64 (PI.f64)))) (cbrt.f64 (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1) (neg.f64 (PI.f64))) -1)
(/.f64 (neg.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))) -1)
(/.f64 (.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2))) (cbrt.f64 (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2) (neg.f64 (PI.f64)))) (cbrt.f64 (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) -1)
(/.f64 (neg.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))) -1)
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))))) 2) 2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) (neg.f64 (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)) -1))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(/.f64 (neg.f64 (PI.f64)) (/.f64 -1 (log.f64 (*.f64 alpha alpha))))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1)) (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2) (PI.f64))) (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) 1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha)))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2))) (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) 2) (PI.f64))) (cbrt.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) 1) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) -1))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (*.f64 alpha alpha))) 2)))
(/.f64 (neg.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha)))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))))) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) 2)))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 3) 1/3)
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))) 3)
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 1)
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(neg.f64 (.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (.f64 alpha alpha)))) 1))
(neg.f64 (/.f64 (PI.f64) (/.f64 -1 (log.f64 (*.f64 alpha alpha)))))
(neg.f64 (.f64 -1 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha))))))
(neg.f64 (neg.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))))
(neg.f64 (.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) -1))
(neg.f64 (neg.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha)))) 3))
(/.f64 (PI.f64) (/.f64 1 (log.f64 (*.f64 alpha alpha))))

eval1.8s (3.6%)

Compiler: Compiled 103668 to 54547 computations (47.4% saved)

prune1.2s (2.5%)

Pruning

41 alts after pruning (31 fresh and 10 done)

	Pruned	Kept	Total
New	3014	9	3023
Fresh	6	22	28
Picked	0	1	1
Done	0	9	9
Total	3020	41	3061

Error

Counts

3061 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (if (!=.f64 (+.f64 1 alpha) 0) (/.f64 (+.f64 alpha -1) (/.f64 1 (+.f64 1 alpha))) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
	0.6b	(/.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha -1) (+.f64 1 alpha)) (PI.f64)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (log.f64 (*.f64 alpha alpha)))
	1.1b	(/.f64 (/.f64 (-.f64 (.f64 alpha (+.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)) (log.f64 (.f64 alpha alpha)))
	1.0b	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (log.f64 (.f64 alpha alpha))) (PI.f64))
✓	1.0b	(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))
	1.2b	(/.f64 (/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (PI.f64)) (log.f64 (.f64 alpha alpha)))
	40.0b	(/.f64 (/.f64 -1/2 (log.f64 alpha)) (PI.f64))
✓	40.0b	(/.f64 (/.f64 -1/2 (PI.f64)) (log.f64 alpha))
	40.0b	(/.f64 (/.f64 -1 (PI.f64)) (log.f64 (*.f64 alpha alpha)))
✓	1.1b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
	1.1b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1/2 (log.f64 alpha))) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
	1.2b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 -1/2 (log.f64 (/.f64 1 alpha)))) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
	1.8b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (pow.f64 (cbrt.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) 3))
✓	0.5b	(/.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))))
	0.9b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (+.f64 1 (*.f64 (neg.f64 cosTheta) cosTheta))))
✓	1.0b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
✓	1.2b	(/.f64 (-.f64 (.f64 alpha alpha) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)))
✓	1.2b	(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
	1.2b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
	1.3b	(/.f64 (.f64 (+.f64 1 alpha) (if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (+.f64 alpha -1))) (/.f64 (+.f64 alpha -1) (PI.f64)))) (log.f64 (.f64 alpha alpha)))
	1.9b	(/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) 3)) (log.f64 (.f64 alpha alpha)))
✓	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))
	1.0b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (neg.f64 cosTheta) cosTheta 1)))) (PI.f64))
✓	1.2b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
	0.6b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (.f64 (/.f64 1 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))) (PI.f64))
	40.0b	(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
	40.0b	(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (log.f64 alpha) (PI.f64)))))
	40.0b	(/.f64 -1/2 (-.f64 1 (-.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
✓	40.0b	(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))
	40.0b	(/.f64 -1 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
	40.0b	(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
	40.0b	(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
	40.0b	(-.f64 1 (+.f64 1 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))))
	1.1b	(.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (PI.f64)))
	1.2b	(.f64 (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))) (+.f64 alpha 1))
	1.1b	(.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
	1.2b	(.f64 (/.f64 (-.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))))
	1.2b	(.f64 (/.f64 (+.f64 alpha 1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 alpha -1) (PI.f64)))
	1.2b	(.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 1 alpha))
	1.2b	(.f64 (+.f64 1 alpha) (.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
	1.1b	(.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 (/.f64 -1 (PI.f64)) (log.f64 (.f64 alpha alpha))))

Compiler

Compiled 717 to 522 computations (27.2% saved)

regimes189.0ms (0.4%)

Counts

82 → 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 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1 (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(-.f64 1 (+.f64 1 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 1 (-.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (log.f64 (.f64 alpha alpha))) (PI.f64))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 alpha -1))
(.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 1 alpha) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 1 alpha) (PI.f64)))
(.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 1 alpha))
(.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 alpha -1) (PI.f64)))
(.f64 (/.f64 (-.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))) (+.f64 alpha 1))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha 1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
(.f64 (+.f64 1 alpha) (.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (+.f64 (+.f64 alpha -1) (.f64 (+.f64 alpha -1) alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (-.f64 (.f64 alpha (+.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)) (log.f64 (.f64 alpha alpha)))
(/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (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 (neg.f64 cosTheta) cosTheta))))
(/.f64 (.f64 (+.f64 1 alpha) (if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (+.f64 alpha -1))) (/.f64 (+.f64 alpha -1) (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 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (/.f64 1 (log.f64 (.f64 alpha alpha))))
(.f64 (fma.f64 alpha alpha -1) (/.f64 1 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1 (log.f64 (.f64 alpha alpha))) (PI.f64)))
(.f64 (neg.f64 (fma.f64 alpha alpha -1)) (/.f64 (/.f64 -1 (PI.f64)) (log.f64 (.f64 alpha alpha))))
(/.f64 (if (!=.f64 (+.f64 1 alpha) 0) (/.f64 (+.f64 alpha -1) (/.f64 1 (+.f64 1 alpha))) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1/2 (log.f64 alpha))) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(/.f64 (-.f64 (/.f64 (.f64 alpha (+.f64 alpha -1)) (PI.f64)) (/.f64 (-.f64 1 alpha) (PI.f64))) (log.f64 (.f64 alpha alpha)))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 -1/2 (log.f64 (/.f64 1 alpha)))) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (if (!=.f64 (log.f64 (.f64 alpha alpha)) 0) (/.f64 (PI.f64) (/.f64 1 (log.f64 (.f64 alpha alpha)))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (fma.f64 (neg.f64 cosTheta) cosTheta 1)))) (PI.f64))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta 1)))) (PI.f64))
(/.f64 (if (!=.f64 (-.f64 -1 (.f64 alpha alpha)) 0) (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 2)) (-.f64 -1 (.f64 alpha alpha))) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (cbrt.f64 (pow.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)) 3)))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 alpha alpha)) 3)) (PI.f64)))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (pow.f64 (cbrt.f64 (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) 3))
(/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha -1) (PI.f64))) 3)) (log.f64 (.f64 alpha alpha)))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (*.f64 alpha alpha))) (fma.f64 (neg.f64 cosTheta) cosTheta 1)))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (/.f64 (+.f64 1 alpha) (PI.f64)))
(.f64 (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (+.f64 1 alpha))
(.f64 (/.f64 (/.f64 (+.f64 1 alpha) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (/.f64 (+.f64 alpha -1) (PI.f64)))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (PI.f64))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (PI.f64)) (+.f64 alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))) (+.f64 alpha -1)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha -1) (+.f64 1 alpha)) (PI.f64)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (log.f64 (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (/.f64 (-.f64 1 alpha) (PI.f64)) (log.f64 (.f64 alpha alpha)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64))) (/.f64 1 (+.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (.f64 (/.f64 1 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))) (PI.f64))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) 3)) (+.f64 1 (.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha)))) 3) (+.f64 1 (.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64))
(/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (PI.f64))) (log.f64 (*.f64 alpha alpha)))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(.f64 (fma.f64 alpha alpha -1) (/.f64 (/.f64 1 (PI.f64)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(/.f64 (.f64 (/.f64 1 (PI.f64)) (fma.f64 alpha alpha -1)) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(if (!=.f64 (-.f64 1 alpha) 0) (/.f64 (+.f64 1 alpha) (/.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (+.f64 alpha -1))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(if (!=.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) 0) (/.f64 (/.f64 (+.f64 1 alpha) (log.f64 (.f64 alpha alpha))) (/.f64 (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1) (/.f64 (+.f64 alpha -1) (PI.f64)))) (/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))))
(if (!=.f64 (fma.f64 alpha alpha -1) 0) (/.f64 1 (/.f64 (.f64 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (fma.f64 alpha alpha -1))) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (PI.f64)))
(/.f64 (.f64 (+.f64 (pow.f64 alpha 3) 1) (/.f64 (+.f64 alpha -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))) (-.f64 (fma.f64 alpha alpha 1) alpha))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 2)) (PI.f64)) (cbrt.f64 (log.f64 (.f64 alpha alpha)))) (+.f64 1 (.f64 (.f64 (-.f64 (*.f64 alpha alpha) 1) cosTheta) cosTheta))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 alpha alpha) 3) -1) (.f64 (.f64 (PI.f64) (log.f64 (.f64 alpha alpha))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1))) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 alpha alpha) 3)) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (neg.f64 (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (+.f64 1 (.f64 alpha (+.f64 (pow.f64 alpha 3) alpha)))))))
(/.f64 (fma.f64 alpha alpha -1) (.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (log.f64 (.f64 alpha alpha)) 3))) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))
(fma.f64 (/.f64 (/.f64 1 (PI.f64)) (log.f64 (.f64 alpha alpha))) (/.f64 (.f64 alpha alpha) (fma.f64 (.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)) (/.f64 -1 (.f64 (PI.f64) (.f64 (log.f64 (.f64 alpha alpha)) (fma.f64 (*.f64 (fma.f64 alpha alpha -1) cosTheta) cosTheta 1)))))

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:

43.0ms	alpha
42.0ms	cosTheta
37.0ms	(*.f64 alpha alpha)
35.0ms	(/.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))))

Results

Error	Segments	Branch
0.5b	1	`cosTheta`
0.5b	1	`alpha`
0.5b	1	`(/.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	1	`(*.f64 alpha alpha)`

Compiler

Compiled 1677 to 844 computations (49.7% saved)

regimes79.0ms (0.2%)

Counts

35 → 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 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1 (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(-.f64 1 (+.f64 1 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 1 (-.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (log.f64 (.f64 alpha alpha))) (PI.f64))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 alpha -1))
(.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 1 alpha) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 1 alpha) (PI.f64)))
(.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 1 alpha))
(.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 alpha -1) (PI.f64)))
(.f64 (/.f64 (-.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))) (+.f64 alpha 1))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha 1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
(.f64 (+.f64 1 alpha) (.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (+.f64 (+.f64 alpha -1) (.f64 (+.f64 alpha -1) alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (-.f64 (.f64 alpha (+.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)) (log.f64 (.f64 alpha alpha)))
(/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (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 (neg.f64 cosTheta) cosTheta))))
(/.f64 (.f64 (+.f64 1 alpha) (if (!=.f64 (+.f64 alpha -1) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (+.f64 alpha -1))) (/.f64 (+.f64 alpha -1) (PI.f64)))) (log.f64 (.f64 alpha alpha)))

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:

24.0ms	alpha
21.0ms	(*.f64 alpha alpha)
20.0ms	cosTheta

Results

Error	Segments	Branch
0.9b	1	`cosTheta`
0.9b	1	`alpha`
0.9b	1	`(*.f64 alpha alpha)`

Compiler

Compiled 467 to 241 computations (48.4% saved)

regimes77.0ms (0.2%)

Counts

33 → 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 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1 (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(-.f64 1 (+.f64 1 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 1 (-.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (log.f64 (.f64 alpha alpha))) (PI.f64))
(.f64 (/.f64 (+.f64 1 alpha) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 alpha -1))
(.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 1 alpha) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 1 alpha) (PI.f64)))
(.f64 (/.f64 (+.f64 alpha -1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64))) (+.f64 1 alpha))
(.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (+.f64 alpha 1) (log.f64 (.f64 alpha alpha))) (/.f64 (+.f64 alpha -1) (PI.f64)))
(.f64 (/.f64 (-.f64 alpha -1) (PI.f64)) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha))))
(.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha))))
(.f64 (/.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (log.f64 (.f64 alpha alpha))) (+.f64 alpha 1))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha -1) (PI.f64))) (log.f64 (.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (-.f64 alpha 1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha -1) (log.f64 (.f64 alpha alpha)))) (PI.f64))
(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
(/.f64 (.f64 (/.f64 (+.f64 alpha 1) (PI.f64)) (+.f64 alpha -1)) (log.f64 (.f64 alpha alpha)))
(.f64 (+.f64 1 alpha) (.f64 (/.f64 (+.f64 alpha -1) (PI.f64)) (/.f64 1 (log.f64 (*.f64 alpha alpha)))))
(/.f64 (+.f64 (+.f64 alpha -1) (.f64 (+.f64 alpha -1) alpha)) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (-.f64 (.f64 alpha (+.f64 alpha -1)) (-.f64 1 alpha)) (PI.f64)) (log.f64 (.f64 alpha alpha)))
(/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (+.f64 (.f64 alpha (+.f64 1 alpha)) (neg.f64 (+.f64 1 alpha))) (PI.f64)) (log.f64 (.f64 alpha alpha)))

Outputs
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (log.f64 (.f64 alpha alpha))) (PI.f64))

Calls

3 calls:

33.0ms	(*.f64 alpha alpha)
18.0ms	cosTheta
18.0ms	alpha

Results

Error	Segments	Branch
1.0b	1	`cosTheta`
1.0b	1	`alpha`
1.0b	1	`(*.f64 alpha alpha)`

Compiler

Compiled 419 to 213 computations (49.2% saved)

regimes40.0ms (0.1%)

Counts

13 → 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 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1 (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(-.f64 1 (+.f64 1 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 1 (-.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))
(/.f64 (/.f64 (-.f64 (.f64 alpha alpha) 1) (PI.f64)) (log.f64 (.f64 alpha alpha)))

Outputs
(/.f64 (-.f64 (.f64 alpha alpha) 1) (.f64 (log.f64 (*.f64 alpha alpha)) (PI.f64)))

Calls

3 calls:

16.0ms	alpha
10.0ms	cosTheta
10.0ms	(*.f64 alpha alpha)

Results

Error	Segments	Branch
1.0b	1	`cosTheta`
1.0b	1	`alpha`
1.0b	1	`(*.f64 alpha alpha)`

Compiler

Compiled 129 to 73 computations (43.4% saved)

regimes26.0ms (0.1%)

Counts

11 → 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 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1 (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(-.f64 1 (+.f64 1 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))
(/.f64 -1/2 (-.f64 1 (-.f64 1 (*.f64 (log.f64 alpha) (PI.f64)))))
(/.f64 -1/2 (-.f64 3 (-.f64 3 (*.f64 (log.f64 alpha) (PI.f64)))))

Outputs
(-.f64 3 (+.f64 3 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))

Calls

3 calls:

10.0ms	alpha
7.0ms	(*.f64 alpha alpha)
6.0ms	cosTheta

Results

Error	Segments	Branch
40.0b	1	`cosTheta`
40.0b	1	`alpha`
40.0b	1	`(*.f64 alpha alpha)`

Compiler

Compiled 105 to 66 computations (37.1% saved)

regimes29.0ms (0.1%)

Counts

8 → 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 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1 (PI.f64)) (log.f64 (*.f64 alpha alpha)))
(-.f64 1 (+.f64 1 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 1/2 (log.f64 alpha)) (PI.f64))))

Outputs
(-.f64 1 (+.f64 1 (/.f64 1/2 (*.f64 (log.f64 alpha) (PI.f64)))))

Calls

3 calls:

13.0ms	alpha
5.0ms	(*.f64 alpha alpha)
5.0ms	cosTheta

Results

Error	Segments	Branch
40.0b	1	`cosTheta`
40.0b	1	`alpha`
40.0b	1	`(*.f64 alpha alpha)`

Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes19.0ms (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 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))
(/.f64 (/.f64 -1 (PI.f64)) (log.f64 (*.f64 alpha alpha)))

Outputs
(/.f64 1/2 (*.f64 (log.f64 (/.f64 1 alpha)) (PI.f64)))

Calls

3 calls:

8.0ms	(*.f64 alpha alpha)
5.0ms	alpha
4.0ms	cosTheta

Results

Error	Segments	Branch
40.0b	1	`cosTheta`
40.0b	1	`alpha`
40.0b	1	`(*.f64 alpha alpha)`

Compiler

Compiled 55 to 34 computations (38.2% saved)

regimes19.0ms (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 (.f64 (log.f64 (.f64 alpha alpha)) (PI.f64)))

Outputs
(/.f64 -1/2 (*.f64 (log.f64 alpha) (PI.f64)))

Calls

3 calls:

7.0ms	(*.f64 alpha alpha)
4.0ms	alpha
4.0ms	cosTheta

Results

Error	Segments	Branch
40.0b	1	`cosTheta`
40.0b	1	`alpha`
40.0b	1	`(*.f64 alpha alpha)`

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify3.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 117 to 86 computations (26.5% saved)

soundness0.0ms (0%)

end65.0ms (0.1%)

Compiler: Compiled 103 to 55 computations (46.6% saved)