Details

analyze64.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.6%	99.4%	0
0%	0.6%	99.4%	1
0%	0.6%	99.4%	2
0.3%	0.3%	99.4%	3
0.3%	0.3%	99.4%	4
0.5%	0.2%	99.4%	5
0.5%	0.2%	99.4%	6
0.6%	0.1%	99.4%	7
0.6%	0.1%	99.4%	8
0.6%	0%	99.4%	9
0.6%	0%	99.4%	10
0.6%	0%	99.4%	11
0.6%	0%	99.4%	12

Compiler

Compiled 41 to 27 computations (34.1% saved)

sample1.9s (35.5%)

Results

1.9s

8256×

body

valid

preprocess44.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

712×	`distribute-rgt-in_binary32`
694×	`distribute-lft-in_binary32`
486×	`associate-/r*_binary32`
348×	`fma-def_binary32`
325×	`associate-/l*_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	66
1	79	62
2	317	62
3	1615	62
4	6827	62
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(/.f32 (-.f32 (*.f32 alpha alpha) 1) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 1 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

(/.f32 (-.f32 (*.f32 cosTheta cosTheta) 1) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 cosTheta cosTheta))) (+.f32 1 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) 1) alpha) alpha))))

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (.f32 (PI.f32) (*.f32 2 (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 (log.f32 alpha) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 cosTheta cosTheta))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 cosTheta cosTheta) 1) alpha) alpha))))
(/.f32 (fma.f32 cosTheta cosTheta -1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 cosTheta cosTheta))) (+.f32 1 (.f32 (fma.f32 cosTheta cosTheta -1) (*.f32 alpha alpha)))))
(/.f32 (fma.f32 cosTheta cosTheta -1) (.f32 (.f32 2 (log.f32 cosTheta)) (.f32 (PI.f32) (fma.f32 alpha (.f32 alpha (fma.f32 cosTheta cosTheta -1)) 1))))
(/.f32 (/.f32 (fma.f32 cosTheta cosTheta -1) (.f32 2 (.f32 (PI.f32) (log.f32 cosTheta)))) (fma.f32 (*.f32 alpha alpha) (fma.f32 cosTheta cosTheta -1) 1))
(/.f32 (fma.f32 cosTheta cosTheta -1) (.f32 (PI.f32) (.f32 (.f32 (log.f32 cosTheta) 2) (fma.f32 alpha (.f32 alpha (fma.f32 cosTheta cosTheta -1)) 1))))
(/.f32 (/.f32 (fma.f32 cosTheta cosTheta -1) (.f32 (.f32 (PI.f32) (log.f32 cosTheta)) 2)) (fma.f32 alpha (*.f32 alpha (fma.f32 cosTheta cosTheta -1)) 1))

Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

598×	`associate-/l*_binary32`
435×	`associate-l_binary32`
382×	`associate-*l/_binary32`
360×	`distribute-rgt-in_binary32`
359×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	45	31
2	166	31
3	823	31
4	4240	31

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))

prune4.0ms (0.1%)

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

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.4b	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
▶	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))

Status

Error

Program

0.4b

(/.f32 (-.f32 (*.f32 alpha alpha) 1) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 1 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

▶

0.4b

(/.f32 (/.f32 (fma.f32 alpha alpha -1) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))

Compiler

Compiled 145 to 93 computations (35.9% saved)

localize47.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1)
✓	0.0b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
✓	0.3b	(/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))
✓	0.4b	(.f32 (log.f32 alpha) (.f32 (PI.f32) 2))

series76.0ms (1.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	alpha	@	-inf	(.f32 (log.f32 alpha) (.f32 (PI.f32) 2))
22.0ms	alpha	@	0	(.f32 (log.f32 alpha) (.f32 (PI.f32) 2))
11.0ms	alpha	@	inf	(.f32 (log.f32 alpha) (.f32 (PI.f32) 2))
4.0ms	alpha	@	-inf	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
2.0ms	alpha	@	0	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))

rewrite98.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary32`
380×	`pow2_binary32`
268×	`pow1/3_binary32`
258×	`expm1-udef_binary32`
258×	`log1p-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	301	70
2	3902	70

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

Inputs
(.f32 (log.f32 alpha) (.f32 (PI.f32) 2))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha (.f32 (PI.f32) 2))) 2)) (log.f32 (cbrt.f32 (pow.f32 alpha (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 alpha (.f32 (PI.f32) 2)))) (log.f32 (sqrt.f32 (pow.f32 alpha (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (log.f32 alpha) 3) (pow.f32 (.f32 (PI.f32) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (.f32 (PI.f32) 2) 3) (pow.f32 (log.f32 alpha) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 alpha (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (pow.f32 alpha (.f32 (PI.f32) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log.f32 alpha) 3) (pow.f32 (.f32 (PI.f32) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) 2) 3) (pow.f32 (log.f32 alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 alpha (.f32 (PI.f32) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 2) (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (.f32 (log.f32 alpha) (PI.f32)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)) (/.f32 1 (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) 1) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (log.f32 alpha)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (log.f32 alpha)) (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (log.f32 alpha)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) 2)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (PI.f32) 2)) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (.f32 (PI.f32) 2)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) 2)) (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (pow.f32 (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) 2)) (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (pow.f32 (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) 2)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))) (/.f32 (fma.f32 alpha alpha -1) (sqrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (sqrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (sqrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (fma.f32 alpha alpha -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (log.f32 alpha) (PI.f32)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (/.f32 1 (.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) (pow.f32 (cbrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 2) (cbrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 2) (.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) (sqrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (neg.f32 (fma.f32 alpha alpha -1)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (/.f32 1 (neg.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) 1) (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 2) 1) (/.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 1) (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 2) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (cbrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (sqrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) 2) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha))) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) 3) (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (fma.f32 alpha alpha -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (neg.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) 3) (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) 2)) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 2)) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta)) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 3) 1) (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 2) (-.f32 1 (.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 2) 1) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

790×	`associate-/l*_binary32`
625×	`fma-def_binary32`
428×	`associate-*r/_binary32`
417×	`associate-*l/_binary32`
348×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2939
1	609	2612
2	2448	2571

Stop Event

1×	node limit

Counts

218 → 212

Calls

Call 1

Inputs
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(-.f32 (.f32 1/2 (.f32 (pow.f32 alpha 2) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (pow.f32 alpha 2) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 4) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (pow.f32 alpha 2) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta 4) (.f32 (pow.f32 alpha 6) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 4) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(/.f32 -1/2 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (pow.f32 alpha 2))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (pow.f32 alpha 2))) (.f32 -1/2 (/.f32 (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6)))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (pow.f32 alpha 2))) (.f32 -1/2 (/.f32 (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 2) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 4) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 2) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 4) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 6) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 2) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (*.f32 (log.f32 alpha) (PI.f32)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (PI.f32))))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 4) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (*.f32 (log.f32 alpha) (PI.f32)))))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2)))
(+.f32 1 (+.f32 (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)) (.f32 -1 (pow.f32 cosTheta 2))))
(+.f32 1 (+.f32 (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)) (.f32 -1 (pow.f32 cosTheta 2))))
(+.f32 1 (+.f32 (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)) (.f32 -1 (pow.f32 cosTheta 2))))
(*.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(*.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
1
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))

Outputs
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (.f32 alpha alpha) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(.f32 1/2 (/.f32 (.f32 alpha alpha) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))))
(.f32 1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))) (/.f32 1/2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))))
(fma.f32 1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(.f32 1/2 (fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 -1 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))) (/.f32 1/2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))))
(fma.f32 1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(.f32 1/2 (fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 -1 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))) (/.f32 1/2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))))
(fma.f32 1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(.f32 1/2 (fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 -1 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (-.f32 1 (*.f32 cosTheta cosTheta)))
(/.f32 -1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (*.f32 cosTheta cosTheta))))
(-.f32 (.f32 1/2 (.f32 (pow.f32 alpha 2) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (.f32 1/2 (.f32 (.f32 alpha alpha) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta)))))))
(fma.f32 (.f32 1/2 (.f32 alpha alpha)) (+.f32 (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))) (/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (-.f32 1 (.f32 cosTheta cosTheta))))
(fma.f32 (fma.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))) (/.f32 1 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (.f32 cosTheta cosTheta))))) (.f32 1/2 (.f32 alpha alpha)) (/.f32 -1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (.f32 cosTheta cosTheta)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (pow.f32 alpha 2) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 4) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (fma.f32 1/2 (.f32 (.f32 alpha alpha) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))) (.f32 -1/2 (/.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))) (pow.f32 alpha 4))) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))))
(fma.f32 1/2 (.f32 (.f32 alpha alpha) (+.f32 (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (fma.f32 -1/2 (.f32 (/.f32 (.f32 cosTheta cosTheta) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))) (pow.f32 alpha 4))) (/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (pow.f32 alpha 4) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)) (fma.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))) (/.f32 1 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (.f32 cosTheta cosTheta)))))) (fma.f32 (fma.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))) (/.f32 1 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (.f32 cosTheta cosTheta))))) (.f32 1/2 (.f32 alpha alpha)) (/.f32 -1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (*.f32 cosTheta cosTheta))))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (pow.f32 alpha 2) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (+.f32 (.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta 4) (.f32 (pow.f32 alpha 6) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 4) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (fma.f32 1/2 (.f32 (.f32 alpha alpha) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))) (fma.f32 1/2 (/.f32 (.f32 (pow.f32 cosTheta 4) (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))) (pow.f32 alpha 6))) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)) (.f32 -1/2 (/.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))) (pow.f32 alpha 4))) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))))
(+.f32 (.f32 1/2 (+.f32 (.f32 (.f32 alpha alpha) (+.f32 (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (.f32 (/.f32 (pow.f32 cosTheta 4) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)) (.f32 (+.f32 (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))) (pow.f32 alpha 6))))) (fma.f32 -1/2 (.f32 (/.f32 (.f32 cosTheta cosTheta) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))) (pow.f32 alpha 4))) (/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (-.f32 1 (.f32 cosTheta cosTheta)))))
(fma.f32 1/2 (fma.f32 alpha (.f32 alpha (fma.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))) (/.f32 1 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (.f32 cosTheta cosTheta)))))) (.f32 (/.f32 (pow.f32 cosTheta 4) (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 alpha 6))) (fma.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))) (/.f32 1 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (.f32 cosTheta cosTheta))))))) (fma.f32 -1/2 (.f32 (.f32 (/.f32 (pow.f32 alpha 4) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)) (fma.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))) (/.f32 1 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (.f32 cosTheta cosTheta)))))) (/.f32 -1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (*.f32 cosTheta cosTheta))))))
(/.f32 -1/2 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(/.f32 -1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 -1/2 (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (*.f32 cosTheta cosTheta))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))
(-.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (pow.f32 alpha 2))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))
(fma.f32 1/2 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 1 (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))) (.f32 alpha alpha)) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (.f32 cosTheta cosTheta)))))
(fma.f32 (/.f32 1/2 alpha) (/.f32 (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) alpha) (/.f32 -1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (pow.f32 alpha 2))) (.f32 -1/2 (/.f32 (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (fma.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha)) (.f32 -1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4)) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))))))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))
(fma.f32 1/2 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 1 (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))) (.f32 alpha alpha)) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 1 (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (*.f32 cosTheta cosTheta))))))
(fma.f32 (/.f32 -1/2 (pow.f32 alpha 4)) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4))))))) (fma.f32 (/.f32 1/2 alpha) (/.f32 (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) alpha) (/.f32 -1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6)))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (pow.f32 alpha 2))) (.f32 -1/2 (/.f32 (.f32 (-.f32 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (-.f32 (/.f32 1 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (pow.f32 cosTheta 4)) (/.f32 (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2) (pow.f32 alpha 6))) (fma.f32 1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha)) (.f32 -1/2 (/.f32 (-.f32 (/.f32 1 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4)) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))
(fma.f32 1/2 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 1 (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))) (pow.f32 cosTheta 4)) (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 alpha 6))) (fma.f32 1/2 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 1 (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))) (.f32 alpha alpha)) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 (/.f32 1 (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) (*.f32 cosTheta cosTheta)))))))
(fma.f32 1/2 (fma.f32 (-.f32 (/.f32 (/.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (pow.f32 cosTheta 6)) (/.f32 (/.f32 (+.f32 -1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 8)))) (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 alpha 6)) (/.f32 (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha))) (fma.f32 (/.f32 -1/2 (pow.f32 alpha 4)) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4))))))) (/.f32 -1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))
(/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))
(/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 (/.f32 1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (.f32 cosTheta cosTheta))
(/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (*.f32 cosTheta cosTheta))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 2) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (.f32 alpha alpha) (*.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(+.f32 (/.f32 (/.f32 1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 (*.f32 alpha alpha) (pow.f32 cosTheta 4))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 4) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 2) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 4) (.f32 (PI.f32) (pow.f32 cosTheta 6))))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (.f32 alpha alpha) (*.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(+.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 6))))) (/.f32 (/.f32 1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (.f32 cosTheta cosTheta))) (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)) (fma.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 cosTheta 6) (.f32 (PI.f32) (pow.f32 alpha 4)))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 (.f32 alpha alpha) (pow.f32 cosTheta 4)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 4) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 6) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 2) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 4) (.f32 (PI.f32) (pow.f32 cosTheta 6))))) (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 alpha 6) (.f32 (PI.f32) (pow.f32 cosTheta 8))))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (.f32 alpha alpha) (*.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(+.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 6))))) (fma.f32 -1/2 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (pow.f32 alpha 6) (.f32 (PI.f32) (pow.f32 cosTheta 8))))) (/.f32 (/.f32 1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (.f32 cosTheta cosTheta)))) (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(+.f32 (fma.f32 -1/2 (/.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (.f32 (PI.f32) (.f32 (pow.f32 alpha 6) (pow.f32 cosTheta 8)))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta))) (fma.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 cosTheta 6) (.f32 (PI.f32) (pow.f32 alpha 4)))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 (*.f32 alpha alpha) (pow.f32 cosTheta 4)))))))
(.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (*.f32 (log.f32 alpha) (PI.f32)))))
(fma.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 alpha) (PI.f32))) (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 cosTheta cosTheta) (log.f32 alpha)) (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (PI.f32))) (.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32)))))
(fma.f32 -1/2 (/.f32 (.f32 cosTheta cosTheta) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 alpha alpha -1) 2))) (.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (PI.f32))))))
(fma.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 1/2 (.f32 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (PI.f32))))))
(fma.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1/2 (.f32 (/.f32 (.f32 cosTheta cosTheta) (log.f32 alpha)) (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (PI.f32))) (.f32 1/2 (*.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (PI.f32))))))
(fma.f32 -1/2 (/.f32 (.f32 cosTheta cosTheta) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 alpha alpha -1) 2))) (.f32 (/.f32 1/2 (log.f32 alpha)) (+.f32 (/.f32 (fma.f32 alpha alpha -1) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (/.f32 (pow.f32 cosTheta 4) (PI.f32))))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 4) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (*.f32 (log.f32 alpha) (PI.f32)))))))
(fma.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 cosTheta 6))) (.f32 1/2 (.f32 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(fma.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1/2 (.f32 (/.f32 (.f32 cosTheta cosTheta) (log.f32 alpha)) (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (PI.f32))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 4) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 6) (PI.f32))) (.f32 1/2 (.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(+.f32 (.f32 (/.f32 -1/2 (log.f32 alpha)) (+.f32 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (.f32 (/.f32 cosTheta (PI.f32)) cosTheta)) (.f32 (pow.f32 (fma.f32 alpha alpha -1) 4) (/.f32 (pow.f32 cosTheta 6) (PI.f32))))) (.f32 (/.f32 1/2 (log.f32 alpha)) (+.f32 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (/.f32 (pow.f32 cosTheta 4) (PI.f32))) (/.f32 (fma.f32 alpha alpha -1) (PI.f32)))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (*.f32 cosTheta cosTheta))
(/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (+.f32 (*.f32 alpha alpha) -1)))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1)))))
(+.f32 (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (fma.f32 alpha alpha -1) (.f32 (*.f32 (PI.f32) (pow.f32 cosTheta 4)) (log.f32 alpha)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2)))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (+.f32 (*.f32 alpha alpha) -1))))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (/.f32 -1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (*.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (+.f32 (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (log.f32 alpha))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2)))) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (+.f32 (.f32 alpha alpha) -1)))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 8)) (pow.f32 (+.f32 (*.f32 alpha alpha) -1) 3)))))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (-.f32 (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (/.f32 -1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 8)) (pow.f32 (fma.f32 alpha alpha -1) 3))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (+.f32 (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 -1/2 (.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (log.f32 alpha)))) (/.f32 -1/2 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (.f32 (*.f32 (PI.f32) (pow.f32 cosTheta 8)) (log.f32 alpha)))))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (*.f32 cosTheta cosTheta))
(/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (+.f32 (*.f32 alpha alpha) -1)))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1)))))
(+.f32 (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (fma.f32 alpha alpha -1) (.f32 (*.f32 (PI.f32) (pow.f32 cosTheta 4)) (log.f32 alpha)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2)))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (+.f32 (*.f32 alpha alpha) -1))))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (/.f32 -1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (*.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (+.f32 (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (log.f32 alpha))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2)))) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (+.f32 (.f32 alpha alpha) -1)))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 8)) (pow.f32 (+.f32 (*.f32 alpha alpha) -1) 3)))))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (-.f32 (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (/.f32 -1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 8)) (pow.f32 (fma.f32 alpha alpha -1) 3))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (+.f32 (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 -1/2 (.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 4)) (log.f32 alpha)))) (/.f32 -1/2 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (.f32 (*.f32 (PI.f32) (pow.f32 cosTheta 8)) (log.f32 alpha)))))))
(+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2)))
(+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta)))
(-.f32 1 (*.f32 cosTheta cosTheta))
(+.f32 1 (+.f32 (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)) (.f32 -1 (pow.f32 cosTheta 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (+.f32 (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)) (.f32 -1 (pow.f32 cosTheta 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (+.f32 (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)) (.f32 -1 (pow.f32 cosTheta 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(*.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (*.f32 cosTheta cosTheta))
(.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))
(.f32 (.f32 alpha cosTheta) (*.f32 alpha cosTheta))
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(*.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))
(.f32 (.f32 alpha alpha) (*.f32 cosTheta cosTheta))
(.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))
(.f32 (.f32 alpha cosTheta) (*.f32 alpha cosTheta))
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2))))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
1
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(.f32 (.f32 cosTheta cosTheta) (+.f32 (*.f32 alpha alpha) -1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1))
(.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha -1)))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(.f32 (.f32 cosTheta cosTheta) (+.f32 (*.f32 alpha alpha) -1))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1))
(.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha -1)))
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)
(+.f32 1 (*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2)))
(+.f32 1 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha -1) 1)
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha -1)) 1)

prune442.0ms (8.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	204	8	212
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	205	9	214

Error

Counts

214 → 9

Alt Table

Status	Error	Program
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 3) 1) (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 2) (-.f32 1 (.f32 (.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta)) 1)))))
	0.5b	(/.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (log.f32 alpha)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
	0.4b	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.6b	(-.f32 (+.f32 (.f32 1/2 (.f32 (pow.f32 alpha 2) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 4) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
▶	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 (pow.f32 alpha (.f32 (PI.f32) 2)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.8b	(/.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) 2)) (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.7b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (log.f32 (+.f32 1 (expm1.f32 (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1)))))
	0.6b	(/.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (.f32 (PI.f32) 2)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))

Compiler

Compiled 7747 to 4849 computations (37.4% saved)

localize50.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2)))
✓	0.0b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 (pow.f32 alpha (.f32 (PI.f32) 2)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
✓	0.3b	(/.f32 (fma.f32 alpha alpha -1) (log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2))))
✓	3.1b	(pow.f32 alpha (*.f32 (PI.f32) 2))

series113.0ms (2.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
33.0ms	alpha	@	0	(/.f32 (fma.f32 alpha alpha -1) (log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2))))
33.0ms	alpha	@	0	(log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2)))
13.0ms	alpha	@	-inf	(log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2)))
9.0ms	alpha	@	inf	(log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2)))
6.0ms	alpha	@	-inf	(/.f32 (fma.f32 alpha alpha -1) (log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2))))

rewrite90.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`log-prod_binary32`
381×	`pow2_binary32`
353×	`pow-unpow_binary32`
262×	`pow1/3_binary32`
256×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	304	66
2	3828	66

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(pow.f32 alpha (*.f32 (PI.f32) 2))
(/.f32 (fma.f32 alpha alpha -1) (log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 (pow.f32 alpha (.f32 (PI.f32) 2)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(log.f32 (pow.f32 alpha (*.f32 (PI.f32) 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (.f32 alpha alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (.f32 alpha alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (pow.f32 alpha (PI.f32))) 2) (cbrt.f32 (pow.f32 (pow.f32 alpha (PI.f32)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (pow.f32 alpha (PI.f32)) 4)) (pow.f32 (cbrt.f32 (pow.f32 alpha (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 2)) (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) (log.f32 (sqrt.f32 alpha))) (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) (log.f32 (sqrt.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) (log.f32 (cbrt.f32 (.f32 alpha alpha)))) (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) (log.f32 (cbrt.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (E.f32) (.f32 (PI.f32) (log.f32 alpha))) (pow.f32 (E.f32) (.f32 (PI.f32) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (E.f32) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha (PI.f32)) 4)))) (pow.f32 (E.f32) (log.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (pow.f32 alpha (PI.f32)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (PI.f32) (log.f32 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (/.f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 2) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (.f32 (PI.f32) 2) (neg.f32 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (fma.f32 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (PI.f32) 2)) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (.f32 (PI.f32) 2)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) 2)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) 1) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 2))) (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 2))) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 2))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (cbrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (/.f32 (fma.f32 alpha alpha -1) (sqrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (sqrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (sqrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (neg.f32 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (/.f32 1 (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 2) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 2) (.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (neg.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (/.f32 1 (neg.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) 1) (/.f32 (/.f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 2) 1) (/.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 1) (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (/.f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 2) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (/.f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 2) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 3) (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (fma.f32 alpha alpha -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (neg.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 3) (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (log.f32 alpha)) (.f32 (PI.f32) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha (PI.f32)) 4))) (log.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 alpha (PI.f32)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 1 (PI.f32))) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 2))) (log.f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (.f32 2 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (PI.f32) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) 2) (log.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 alpha) (.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 2)) (cbrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) (sqrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) 2)) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (PI.f32) 1) (.f32 2 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 3 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 alpha (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (.f32 3 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 (PI.f32) 1) (/.f32 (PI.f32) 1)) (log.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) 1) (.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) (PI.f32)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 (PI.f32) 1)) (log.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) 2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4))) (cbrt.f32 (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) (sqrt.f32 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 1))))))

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

868×	`associate-/l*_binary32`
626×	`fma-def_binary32`
477×	`associate-*l/_binary32`
401×	`distribute-rgt-in_binary32`
384×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2978
1	636	2768
2	2609	2632

Stop Event

1×	node limit

Counts

215 → 214

Calls

Call 1

Inputs
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(exp.f32 (.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(exp.f32 (.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(exp.f32 (.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(-.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (pow.f32 alpha 2)) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (pow.f32 alpha 2)) (.f32 -1 (/.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (pow.f32 alpha 2)) (+.f32 (/.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (.f32 (pow.f32 alpha 6) (pow.f32 cosTheta 4))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)) (.f32 -1 (/.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(/.f32 -1/2 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 alpha 2) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 alpha 2) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32))))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 2) (PI.f32))))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 alpha 2) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32))))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4)))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 2) (PI.f32)))))) (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32))))))) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 alpha 2) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))))
(/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (pow.f32 alpha 2))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (pow.f32 alpha 2))) (+.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))))
(+.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (pow.f32 alpha 2))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))) (*.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6)))))))
(.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (*.f32 (log.f32 alpha) (PI.f32)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (PI.f32))))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 4) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (*.f32 (log.f32 alpha) (PI.f32)))))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))

Outputs
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (*.f32 2 (log.f32 alpha))) (PI.f32))
(pow.f32 alpha (*.f32 (PI.f32) 2))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (*.f32 2 (log.f32 alpha))) (PI.f32))
(pow.f32 alpha (*.f32 (PI.f32) 2))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (*.f32 2 (log.f32 alpha))) (PI.f32))
(pow.f32 alpha (*.f32 (PI.f32) 2))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (*.f32 2 (log.f32 alpha))) (PI.f32))
(pow.f32 alpha (*.f32 (PI.f32) 2))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (*.f32 2 (log.f32 alpha))) (PI.f32))
(pow.f32 alpha (*.f32 (PI.f32) 2))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (*.f32 2 (log.f32 alpha))) (PI.f32))
(pow.f32 alpha (*.f32 (PI.f32) 2))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (*.f32 2 (log.f32 alpha))) (PI.f32))
(pow.f32 alpha (*.f32 (PI.f32) 2))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (*.f32 2 (log.f32 alpha))) (PI.f32))
(pow.f32 alpha (*.f32 (PI.f32) 2))
(exp.f32 (.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(pow.f32 (exp.f32 2) (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(pow.f32 (exp.f32 2) (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(pow.f32 (exp.f32 2) (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(pow.f32 (exp.f32 2) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(pow.f32 (exp.f32 2) (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))))
(.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 alpha alpha -1))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))))
(.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 alpha alpha -1))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))))
(.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 alpha alpha -1))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (.f32 alpha alpha) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(.f32 -1/2 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 (/.f32 -1/2 (neg.f32 (log.f32 alpha))) (/.f32 (.f32 alpha alpha) (PI.f32)))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (/.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha))) (/.f32 (/.f32 1/2 (PI.f32)) (neg.f32 (log.f32 alpha))))
(fma.f32 -1/2 (*.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 1/2 (neg.f32 (log.f32 alpha))) (PI.f32)))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (/.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha))) (/.f32 (/.f32 1/2 (PI.f32)) (neg.f32 (log.f32 alpha))))
(fma.f32 -1/2 (*.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 1/2 (neg.f32 (log.f32 alpha))) (PI.f32)))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (/.f32 1/2 (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(fma.f32 -1/2 (/.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha))) (/.f32 (/.f32 1/2 (PI.f32)) (neg.f32 (log.f32 alpha))))
(fma.f32 -1/2 (*.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 1/2 (neg.f32 (log.f32 alpha))) (PI.f32)))
(.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(.f32 1/2 (/.f32 (/.f32 (.f32 alpha alpha) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))) (PI.f32)))
(.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (.f32 alpha alpha) (PI.f32)))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (/.f32 (.f32 alpha alpha) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))) (PI.f32))) (/.f32 1/2 (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))))
(fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(.f32 1/2 (fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 -1 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (/.f32 (.f32 alpha alpha) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))) (PI.f32))) (/.f32 1/2 (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))))
(fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(.f32 1/2 (fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 -1 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (.f32 1/2 (/.f32 (/.f32 (.f32 alpha alpha) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))) (PI.f32))) (/.f32 1/2 (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))))
(fma.f32 1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(.f32 1/2 (fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 -1 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta)))
(-.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (pow.f32 alpha 2)) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (.f32 (.f32 alpha alpha) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (.f32 -1/2 (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta)))))))
(fma.f32 (.f32 alpha alpha) (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta)))) (.f32 1/2 (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (*.f32 cosTheta cosTheta))))
(fma.f32 alpha (.f32 alpha (fma.f32 1/2 (/.f32 cosTheta (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (/.f32 cosTheta (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))))) (/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (*.f32 cosTheta cosTheta))))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (pow.f32 alpha 2)) (.f32 -1 (/.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (fma.f32 (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (.f32 -1/2 (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))) (.f32 alpha alpha) (neg.f32 (/.f32 (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (.f32 -1/2 (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4)))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta)))))))
(fma.f32 (.f32 alpha alpha) (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta)))) (.f32 1/2 (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (fma.f32 -1 (.f32 (/.f32 (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta)))) (.f32 1/2 (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4))) (/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(fma.f32 -1 (.f32 (/.f32 (fma.f32 1/2 (/.f32 cosTheta (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (/.f32 cosTheta (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta)))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 cosTheta (.f32 cosTheta (pow.f32 alpha 4)))) (fma.f32 alpha (.f32 alpha (fma.f32 1/2 (/.f32 cosTheta (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (/.f32 cosTheta (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))))) (/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (pow.f32 alpha 2)) (+.f32 (/.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (.f32 (pow.f32 alpha 6) (pow.f32 cosTheta 4))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)) (.f32 -1 (/.f32 (.f32 (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (fma.f32 (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (.f32 -1/2 (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))) (.f32 alpha alpha) (+.f32 (neg.f32 (/.f32 (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (.f32 -1/2 (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4))))) (/.f32 (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (.f32 -1/2 (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))) (/.f32 (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2) (.f32 (pow.f32 alpha 6) (pow.f32 cosTheta 4)))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta)))))))
(+.f32 (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta)))) (.f32 1/2 (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (.f32 (pow.f32 alpha 6) (pow.f32 cosTheta 4)))) (.f32 (/.f32 (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta)))) (.f32 1/2 (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (-.f32 1 (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4)))) (fma.f32 (.f32 alpha alpha) (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta)))) (.f32 1/2 (.f32 (/.f32 cosTheta (log.f32 alpha)) (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(+.f32 (.f32 (/.f32 (fma.f32 1/2 (/.f32 cosTheta (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (/.f32 cosTheta (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta)))) (-.f32 1 (.f32 cosTheta cosTheta))) (-.f32 (/.f32 (pow.f32 alpha 6) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 cosTheta 4))) (.f32 cosTheta (.f32 cosTheta (pow.f32 alpha 4))))) (fma.f32 alpha (.f32 alpha (fma.f32 1/2 (/.f32 cosTheta (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (/.f32 cosTheta (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta))))) (/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 1 (.f32 cosTheta cosTheta)))))
(/.f32 -1/2 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(/.f32 -1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (*.f32 cosTheta (neg.f32 cosTheta)))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 alpha 2) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 alpha 2) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))))
(-.f32 (/.f32 1/2 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (.f32 alpha alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (fma.f32 -1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(-.f32 (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta (.f32 alpha alpha)))))) (fma.f32 -1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(+.f32 (/.f32 (fma.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta (neg.f32 cosTheta)))))) (.f32 alpha alpha)) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (*.f32 cosTheta (neg.f32 cosTheta))))))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32))))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 2) (PI.f32))))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 alpha 2) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))))
(-.f32 (fma.f32 -1 (.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)) (/.f32 (+.f32 (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (pow.f32 alpha 4))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 (PI.f32) (.f32 alpha alpha)))))) (fma.f32 -1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(-.f32 (-.f32 (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta (.f32 alpha alpha)))))) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (/.f32 (+.f32 (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (pow.f32 alpha 4)))) (fma.f32 -1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))))
(fma.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (/.f32 (neg.f32 (fma.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta (neg.f32 cosTheta))))))) (pow.f32 alpha 4)) (+.f32 (/.f32 (fma.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta (neg.f32 cosTheta)))))) (.f32 alpha alpha)) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta (neg.f32 cosTheta)))))))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32))))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4)))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 2) (PI.f32)))))) (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 4) (PI.f32))))))) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 alpha 2) (.f32 (pow.f32 cosTheta 4) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))))
(-.f32 (+.f32 (fma.f32 -1 (.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)) (/.f32 (+.f32 (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (pow.f32 alpha 4))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 (PI.f32) (.f32 alpha alpha)))))) (.f32 (/.f32 (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2) (pow.f32 cosTheta 4)) (/.f32 (+.f32 (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (pow.f32 alpha 6)))) (fma.f32 -1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))))
(-.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 cosTheta 4)) (/.f32 (+.f32 (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (pow.f32 alpha 6)) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta (.f32 alpha alpha))))))) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (/.f32 (+.f32 (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (pow.f32 alpha 4)))) (fma.f32 -1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 alpha alpha) (.f32 (PI.f32) (pow.f32 cosTheta 4))))) (/.f32 1/2 (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(-.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (.f32 (pow.f32 alpha 6) (pow.f32 cosTheta 4))) (fma.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta (neg.f32 cosTheta)))))) (+.f32 (/.f32 (fma.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta (neg.f32 cosTheta)))))) (.f32 alpha alpha)) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta (neg.f32 cosTheta))))))) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 1/2 (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta (neg.f32 cosTheta)))))) (pow.f32 alpha 4))))
(/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))
(/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (pow.f32 alpha 2))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(fma.f32 -1 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (.f32 alpha alpha)) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))
(-.f32 (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (.f32 alpha alpha)))
(-.f32 (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))) (/.f32 (fma.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (*.f32 alpha alpha)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (pow.f32 alpha 2))) (+.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))))
(fma.f32 -1 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (.f32 alpha alpha)) (+.f32 (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4)))))
(-.f32 (fma.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (pow.f32 alpha 4)) (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (.f32 alpha alpha)))
(-.f32 (fma.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (pow.f32 alpha 4)) (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (*.f32 alpha alpha)))
(+.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (pow.f32 alpha 2))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))) (*.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6)))))))
(+.f32 (/.f32 (.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4))) (+.f32 (fma.f32 -1 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (.f32 alpha alpha)) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (neg.f32 (.f32 (/.f32 (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2) (pow.f32 cosTheta 4)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (pow.f32 alpha 6))))))
(fma.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (pow.f32 alpha 4)) (-.f32 (-.f32 (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 cosTheta 4)) (/.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (pow.f32 alpha 6)))) (/.f32 (fma.f32 1/2 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (.f32 alpha alpha))))
(-.f32 (fma.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (pow.f32 alpha 4)) (-.f32 (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))) (.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 cosTheta 4)) (/.f32 (fma.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (pow.f32 alpha 6))))) (/.f32 (fma.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (PI.f32) (pow.f32 cosTheta 4))) (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (*.f32 alpha alpha)))
(.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))))
(.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 alpha alpha -1))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (*.f32 (log.f32 alpha) (PI.f32)))))
(fma.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 alpha) (PI.f32))) (.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)))))
(fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (log.f32 alpha)) (/.f32 cosTheta (/.f32 (PI.f32) cosTheta))) (.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (*.f32 (log.f32 alpha) (PI.f32)))))
(fma.f32 -1/2 (.f32 (/.f32 cosTheta (/.f32 (log.f32 alpha) cosTheta)) (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (PI.f32))) (.f32 (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))) (fma.f32 alpha alpha -1)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (PI.f32))))))
(fma.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 1/2 (.f32 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (PI.f32))))))
(fma.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (log.f32 alpha)) (/.f32 cosTheta (/.f32 (PI.f32) cosTheta))) (.f32 1/2 (.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (PI.f32))))))
(fma.f32 -1/2 (.f32 (/.f32 cosTheta (/.f32 (log.f32 alpha) cosTheta)) (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (PI.f32))) (.f32 (/.f32 1/2 (log.f32 alpha)) (+.f32 (/.f32 (pow.f32 cosTheta 4) (/.f32 (PI.f32) (pow.f32 (fma.f32 alpha alpha -1) 3))) (/.f32 (fma.f32 alpha alpha -1) (PI.f32)))))
(+.f32 (.f32 1/2 (/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 4) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (*.f32 (log.f32 alpha) (PI.f32)))))))
(fma.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 6) (PI.f32))) (.f32 1/2 (.f32 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(fma.f32 1/2 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (log.f32 alpha)) (/.f32 cosTheta (/.f32 (PI.f32) cosTheta))) (fma.f32 -1/2 (.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 4) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 6) (PI.f32))) (.f32 1/2 (*.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(+.f32 (.f32 (/.f32 -1/2 (log.f32 alpha)) (+.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (/.f32 (PI.f32) (.f32 cosTheta cosTheta))) (/.f32 (pow.f32 cosTheta 6) (/.f32 (PI.f32) (pow.f32 (fma.f32 alpha alpha -1) 4))))) (*.f32 (/.f32 1/2 (log.f32 alpha)) (+.f32 (/.f32 (pow.f32 cosTheta 4) (/.f32 (PI.f32) (pow.f32 (fma.f32 alpha alpha -1) 3))) (/.f32 (fma.f32 alpha alpha -1) (PI.f32)))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))
(/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (*.f32 cosTheta cosTheta))
(/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta)))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta))) (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 4) (.f32 (PI.f32) (fma.f32 alpha alpha -1))))))
(+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 -1/2 (.f32 (.f32 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1)) (pow.f32 cosTheta 4)) (PI.f32))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (pow.f32 cosTheta 6))))) (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 cosTheta 6))) (pow.f32 (fma.f32 alpha alpha -1) 2))) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 4) (*.f32 (PI.f32) (fma.f32 alpha alpha -1)))))))
(+.f32 (/.f32 1/2 (.f32 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 -1/2 (.f32 (.f32 (*.f32 (log.f32 alpha) (fma.f32 alpha alpha -1)) (pow.f32 cosTheta 4)) (PI.f32)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(-.f32 (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (pow.f32 cosTheta 6)))))) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (.f32 (PI.f32) (pow.f32 cosTheta 8)))))))
(-.f32 (+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 cosTheta 6))) (pow.f32 (fma.f32 alpha alpha -1) 2))) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 4) (.f32 (PI.f32) (fma.f32 alpha alpha -1))))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 cosTheta 8))))))
(-.f32 (+.f32 (/.f32 1/2 (.f32 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 -1/2 (.f32 (.f32 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1)) (pow.f32 cosTheta 4)) (PI.f32))))) (/.f32 1/2 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 8)) (log.f32 alpha)))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))
(/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))
(/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (*.f32 cosTheta cosTheta))
(/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta)))
(-.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta))) (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 4) (.f32 (PI.f32) (fma.f32 alpha alpha -1))))))
(+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 -1/2 (.f32 (.f32 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1)) (pow.f32 cosTheta 4)) (PI.f32))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (pow.f32 cosTheta 6))))) (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 cosTheta 6))) (pow.f32 (fma.f32 alpha alpha -1) 2))) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 4) (*.f32 (PI.f32) (fma.f32 alpha alpha -1)))))))
(+.f32 (/.f32 1/2 (.f32 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 -1/2 (.f32 (.f32 (*.f32 (log.f32 alpha) (fma.f32 alpha alpha -1)) (pow.f32 cosTheta 4)) (PI.f32)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32))))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(-.f32 (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 cosTheta cosTheta))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (pow.f32 cosTheta 6)))))) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (pow.f32 cosTheta 4)))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (.f32 (PI.f32) (pow.f32 cosTheta 8)))))))
(-.f32 (+.f32 (/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 cosTheta cosTheta)) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) (pow.f32 cosTheta 6))) (pow.f32 (fma.f32 alpha alpha -1) 2))) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 4) (.f32 (PI.f32) (fma.f32 alpha alpha -1))))))) (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 cosTheta 8))))))
(-.f32 (+.f32 (/.f32 1/2 (.f32 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (/.f32 1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 -1/2 (.f32 (.f32 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1)) (pow.f32 cosTheta 4)) (PI.f32))))) (/.f32 1/2 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 8)) (log.f32 alpha)))))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (PI.f32) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (PI.f32) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (PI.f32) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 2 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (PI.f32) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))

prune551.0ms (10.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	206	8	214
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	213	10	223

Error

Counts

223 → 10

Alt Table

Status	Error	Program
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 3) 1) (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 2) (-.f32 1 (.f32 (.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta)) 1)))))
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
	0.4b	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 1/2 (neg.f32 (log.f32 alpha))) (PI.f32))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (pow.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha))) -1) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 2))) (log.f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (PI.f32))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
▶	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))

Compiler

Compiled 8060 to 4963 computations (38.4% saved)

localize72.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))))
✓	0.3b	(/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4))))))
✓	0.8b	(pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))
✓	1.0b	(pow.f32 (PI.f32) 2)

series75.0ms (1.4%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	alpha	@	0	(.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))))
15.0ms	alpha	@	inf	(.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))))
13.0ms	alpha	@	-inf	(.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))))
11.0ms	alpha	@	0	(/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4))))))
7.0ms	alpha	@	-inf	(/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4))))))

rewrite159.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`log-prod_binary32`
458×	`pow-unpow_binary32`
368×	`pow2_binary32`
253×	`pow1/3_binary32`
250×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	323	45
2	3837	45

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 2)
(pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))
(/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4))))))
(.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (PI.f32) 2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (PI.f32) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (pow.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (PI.f32) 4)) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (log.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 2 (log.f32 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))) (cbrt.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))) (cbrt.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))) (sqrt.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) 2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (pow.f32 (cbrt.f32 alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (pow.f32 (sqrt.f32 alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (.f32 2 (log.f32 (cbrt.f32 alpha)))) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (log.f32 (cbrt.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (log.f32 (sqrt.f32 alpha))) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (log.f32 (sqrt.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))) (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))) (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (*.f32 (PI.f32) 2)) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (neg.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (fma.f32 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (PI.f32) 2))) (/.f32 1 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) 1) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) 1) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (cbrt.f32 (.f32 (PI.f32) 2))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cbrt.f32 (.f32 (PI.f32) 2))) (/.f32 (fma.f32 alpha alpha -1) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (cbrt.f32 (.f32 (PI.f32) 2))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (cbrt.f32 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha))) (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (cbrt.f32 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)) (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (/.f32 (fma.f32 alpha alpha -1) (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 alpha alpha -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 alpha alpha -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (fma.f32 alpha alpha -1) (neg.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) (log.f32 alpha))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) (log.f32 alpha)))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (PI.f32) 2) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 2) (log.f32 alpha))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 2) (log.f32 alpha)) (.f32 (PI.f32) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (PI.f32) 2) (.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 2) (log.f32 alpha)) (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (*.f32 (PI.f32) 2) (log.f32 alpha))))))))

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

497×	`div-sub_binary32`
413×	`associate-*l/_binary32`
345×	`associate-/l/_binary32`
311×	`associate-/r*_binary32`
304×	`associate-*r/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	935
1	144	879
2	529	867
3	2500	859
4	6786	859

Stop Event

1×	node limit

Counts

147 → 130

Calls

Call 1

Inputs
(exp.f32 (.f32 (.f32 (log.f32 alpha) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(exp.f32 (.f32 (.f32 (log.f32 alpha) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(exp.f32 (.f32 (.f32 (log.f32 alpha) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(exp.f32 (.f32 (.f32 (log.f32 alpha) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(exp.f32 (.f32 -1 (.f32 (*.f32 (log.f32 (/.f32 1 alpha)) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3))))
(exp.f32 (.f32 -1 (.f32 (*.f32 (log.f32 (/.f32 1 alpha)) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3))))
(exp.f32 (.f32 -1 (.f32 (*.f32 (log.f32 (/.f32 1 alpha)) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3))))
(exp.f32 (.f32 -1 (.f32 (*.f32 (log.f32 (/.f32 1 alpha)) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3))))
(exp.f32 (.f32 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(exp.f32 (.f32 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(exp.f32 (.f32 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(exp.f32 (.f32 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(/.f32 -1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32)))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))))
(+.f32 (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))))
(+.f32 (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))))
(+.f32 (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))))
(/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32)))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 -1 (.f32 (cbrt.f32 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 -1 (.f32 (cbrt.f32 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 -1 (.f32 (cbrt.f32 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 -1 (.f32 (cbrt.f32 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))

Outputs
(exp.f32 (.f32 (.f32 (log.f32 alpha) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 (.f32 (log.f32 alpha) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 (.f32 (log.f32 alpha) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 (.f32 (log.f32 alpha) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 -1 (.f32 (*.f32 (log.f32 (/.f32 1 alpha)) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3))))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 -1 (.f32 (*.f32 (log.f32 (/.f32 1 alpha)) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3))))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 -1 (.f32 (*.f32 (log.f32 (/.f32 1 alpha)) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3))))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 -1 (.f32 (*.f32 (log.f32 (/.f32 1 alpha)) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3))))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (cbrt.f32 4)) (pow.f32 (pow.f32 (PI.f32) 2) 1/3)))
(pow.f32 (exp.f32 (*.f32 (log.f32 alpha) (cbrt.f32 4))) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(pow.f32 alpha (*.f32 (cbrt.f32 4) (cbrt.f32 (pow.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 alpha (cbrt.f32 4)) (cbrt.f32 (pow.f32 (PI.f32) 2)))
(/.f32 -1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32)))))
(/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (cbrt.f32 2))))
(/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha))))
(/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2)))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))))
(+.f32 (.f32 (/.f32 alpha (.f32 (log.f32 alpha) (cbrt.f32 2))) (/.f32 alpha (.f32 (cbrt.f32 4) (PI.f32)))) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 (/.f32 (/.f32 alpha (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (log.f32 alpha)) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))))
(fma.f32 (/.f32 (/.f32 alpha (cbrt.f32 2)) (.f32 (cbrt.f32 4) (PI.f32))) (/.f32 alpha (log.f32 alpha)) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))))
(+.f32 (.f32 (/.f32 alpha (.f32 (log.f32 alpha) (cbrt.f32 2))) (/.f32 alpha (.f32 (cbrt.f32 4) (PI.f32)))) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 (/.f32 (/.f32 alpha (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (log.f32 alpha)) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))))
(fma.f32 (/.f32 (/.f32 alpha (cbrt.f32 2)) (.f32 (cbrt.f32 4) (PI.f32))) (/.f32 alpha (log.f32 alpha)) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))))
(+.f32 (.f32 (/.f32 alpha (.f32 (log.f32 alpha) (cbrt.f32 2))) (/.f32 alpha (.f32 (cbrt.f32 4) (PI.f32)))) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 (/.f32 (/.f32 alpha (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (log.f32 alpha)) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))))
(fma.f32 (/.f32 (/.f32 alpha (cbrt.f32 2)) (.f32 (cbrt.f32 4) (PI.f32))) (/.f32 alpha (log.f32 alpha)) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))))
(.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))))
(neg.f32 (/.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))))
(/.f32 (neg.f32 (.f32 alpha alpha)) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))))
(.f32 (/.f32 (neg.f32 alpha) (neg.f32 (log.f32 alpha))) (/.f32 (/.f32 alpha (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)))
(/.f32 (/.f32 (/.f32 (.f32 alpha (neg.f32 alpha)) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))) (cbrt.f32 4)) (cbrt.f32 2))
(.f32 (/.f32 (/.f32 alpha (.f32 (cbrt.f32 4) (PI.f32))) (cbrt.f32 2)) (/.f32 (neg.f32 alpha) (neg.f32 (log.f32 alpha))))
(+.f32 (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))))
(+.f32 (neg.f32 (/.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))))) (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 2)) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (.f32 (/.f32 alpha (.f32 (neg.f32 (log.f32 alpha)) (cbrt.f32 2))) (/.f32 alpha (*.f32 (cbrt.f32 4) (PI.f32)))))
(-.f32 (/.f32 (/.f32 (/.f32 1 (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (neg.f32 (log.f32 alpha))) (.f32 (/.f32 (/.f32 alpha (*.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (neg.f32 (log.f32 alpha)))))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 2)) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (neg.f32 (cbrt.f32 2))))))))
(-.f32 (/.f32 (/.f32 (/.f32 1 (cbrt.f32 4)) (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (cbrt.f32 2)) (/.f32 (.f32 (/.f32 (/.f32 alpha (PI.f32)) (neg.f32 (log.f32 alpha))) (/.f32 alpha (cbrt.f32 4))) (cbrt.f32 2)))
(+.f32 (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))))
(+.f32 (neg.f32 (/.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))))) (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 2)) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (.f32 (/.f32 alpha (.f32 (neg.f32 (log.f32 alpha)) (cbrt.f32 2))) (/.f32 alpha (*.f32 (cbrt.f32 4) (PI.f32)))))
(-.f32 (/.f32 (/.f32 (/.f32 1 (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (neg.f32 (log.f32 alpha))) (.f32 (/.f32 (/.f32 alpha (*.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (neg.f32 (log.f32 alpha)))))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 2)) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (neg.f32 (cbrt.f32 2))))))))
(-.f32 (/.f32 (/.f32 (/.f32 1 (cbrt.f32 4)) (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (cbrt.f32 2)) (/.f32 (.f32 (/.f32 (/.f32 alpha (PI.f32)) (neg.f32 (log.f32 alpha))) (/.f32 alpha (cbrt.f32 4))) (cbrt.f32 2)))
(+.f32 (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))))
(+.f32 (neg.f32 (/.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))))) (/.f32 1 (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 2)) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (.f32 (/.f32 alpha (.f32 (neg.f32 (log.f32 alpha)) (cbrt.f32 2))) (/.f32 alpha (*.f32 (cbrt.f32 4) (PI.f32)))))
(-.f32 (/.f32 (/.f32 (/.f32 1 (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (neg.f32 (log.f32 alpha))) (.f32 (/.f32 (/.f32 alpha (*.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (neg.f32 (log.f32 alpha)))))
(-.f32 (/.f32 (/.f32 1 (cbrt.f32 2)) (.f32 (cbrt.f32 4) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (neg.f32 (cbrt.f32 2))))))))
(-.f32 (/.f32 (/.f32 (/.f32 1 (cbrt.f32 4)) (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (cbrt.f32 2)) (/.f32 (.f32 (/.f32 (/.f32 alpha (PI.f32)) (neg.f32 (log.f32 alpha))) (/.f32 alpha (cbrt.f32 4))) (cbrt.f32 2)))
(/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32)))))
(/.f32 (.f32 alpha alpha) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 alpha (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(.f32 (/.f32 alpha (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (/.f32 (/.f32 alpha (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)))
(/.f32 (.f32 (/.f32 alpha (cbrt.f32 4)) (/.f32 alpha (PI.f32))) (.f32 (log.f32 alpha) (cbrt.f32 2)))
(.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))))
(+.f32 (.f32 (/.f32 alpha (.f32 (log.f32 alpha) (cbrt.f32 2))) (/.f32 alpha (.f32 (cbrt.f32 4) (PI.f32)))) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 (/.f32 (/.f32 alpha (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (log.f32 alpha)) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))))
(fma.f32 (/.f32 (/.f32 alpha (cbrt.f32 2)) (.f32 (cbrt.f32 4) (PI.f32))) (/.f32 alpha (log.f32 alpha)) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))))
(+.f32 (.f32 (/.f32 alpha (.f32 (log.f32 alpha) (cbrt.f32 2))) (/.f32 alpha (.f32 (cbrt.f32 4) (PI.f32)))) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 (/.f32 (/.f32 alpha (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (log.f32 alpha)) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))))
(fma.f32 (/.f32 (/.f32 alpha (cbrt.f32 2)) (.f32 (cbrt.f32 4) (PI.f32))) (/.f32 alpha (log.f32 alpha)) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))))
(+.f32 (.f32 (/.f32 alpha (.f32 (log.f32 alpha) (cbrt.f32 2))) (/.f32 alpha (.f32 (cbrt.f32 4) (PI.f32)))) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 (/.f32 (/.f32 alpha (.f32 (PI.f32) (cbrt.f32 2))) (cbrt.f32 4)) (/.f32 alpha (log.f32 alpha)) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))))
(fma.f32 (/.f32 (/.f32 alpha (cbrt.f32 2)) (.f32 (cbrt.f32 4) (PI.f32))) (/.f32 alpha (log.f32 alpha)) (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2)))))
(fma.f32 alpha (/.f32 alpha (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))) (/.f32 -1 (.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (.f32 (PI.f32) (cbrt.f32 2))))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 -1 (.f32 (cbrt.f32 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 -1 (.f32 (cbrt.f32 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 -1 (.f32 (cbrt.f32 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 -1 (.f32 (cbrt.f32 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (cbrt.f32 4) (PI.f32)))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (cbrt.f32 2) (.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 4) (PI.f32))))
(.f32 (log.f32 alpha) (.f32 (cbrt.f32 4) (*.f32 (PI.f32) (cbrt.f32 2))))
(.f32 (cbrt.f32 4) (.f32 (*.f32 (PI.f32) (cbrt.f32 2)) (log.f32 alpha)))
(.f32 (cbrt.f32 4) (.f32 (log.f32 alpha) (*.f32 (PI.f32) (cbrt.f32 2))))

prune392.0ms (7.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	130	10	140

Error

Counts

140 → 10

Alt Table

Status	Error	Program
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 3) 1) (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 2) (-.f32 1 (.f32 (.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta)) 1)))))
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 1/2 (neg.f32 (log.f32 alpha))) (PI.f32))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (pow.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha))) -1) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) 2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (pow.f32 (cbrt.f32 alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 2))) (log.f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (PI.f32))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.4b	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (PI.f32) 2))) (/.f32 1 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
▶	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))

Compiler

Compiled 4741 to 3095 computations (34.7% saved)

localize62.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
✓	0.1b	(log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2))))
✓	0.3b	(.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2)))))
✓	0.3b	(/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2))))))

series139.0ms (2.6%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
64.0ms	alpha	@	0	(/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2))))))
16.0ms	alpha	@	0	(.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2)))))
15.0ms	alpha	@	-inf	(.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2)))))
11.0ms	alpha	@	inf	(.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2)))))
8.0ms	alpha	@	-inf	(/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2))))))

rewrite86.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`log-prod_binary32`
289×	`expm1-udef_binary32`
289×	`log1p-udef_binary32`
274×	`pow3_binary32`
261×	`log-pow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	103
1	345	70
2	4401	70

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2))))))
(.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2)))))
(log.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 2) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (fma.f32 alpha alpha -1)) (/.f32 1 (neg.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (fma.f32 alpha alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (sqrt.f32 (.f32 (PI.f32) 2))) (/.f32 1 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) 1) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) 1) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (sqrt.f32 (.f32 (PI.f32) 2))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (.f32 (PI.f32) 2))) (/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (sqrt.f32 (.f32 (PI.f32) 2))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (sqrt.f32 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))) (/.f32 (fma.f32 alpha alpha -1) (sqrt.f32 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (sqrt.f32 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)) (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (/.f32 (fma.f32 alpha alpha -1) (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 alpha alpha -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 alpha alpha -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (fma.f32 alpha alpha -1) (neg.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (*.f32 (PI.f32) 2) (log.f32 alpha)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (cbrt.f32 (exp.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))) (log.f32 (cbrt.f32 (exp.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))) (log.f32 (sqrt.f32 (exp.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) 2) 3/2) (pow.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)) 3) (pow.f32 (.f32 (PI.f32) 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 alpha (.f32 2 (sqrt.f32 (.f32 (PI.f32) 2)))))) (log.f32 (cbrt.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2))))) (log.f32 (cbrt.f32 (pow.f32 alpha (.f32 2 (sqrt.f32 (.f32 (PI.f32) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2))))) (log.f32 (sqrt.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 1 (sqrt.f32 (.f32 (PI.f32) 2)))) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) 2) (sqrt.f32 (.f32 (PI.f32) 2)))) (log.f32 (pow.f32 (cbrt.f32 alpha) (sqrt.f32 (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (sqrt.f32 alpha) (sqrt.f32 (.f32 (PI.f32) 2)))) (log.f32 (pow.f32 (sqrt.f32 alpha) (sqrt.f32 (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (sqrt.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 alpha) (sqrt.f32 (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) 2))) (log.f32 (pow.f32 alpha (cbrt.f32 (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))) (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (.f32 (log.f32 alpha) (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (.f32 (PI.f32) 2) (.f32 (log.f32 alpha) (log.f32 alpha)))) (cbrt.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) 2)) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) 2))) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 2) (log.f32 (pow.f32 alpha (sqrt.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) 2) 1/4) (.f32 (pow.f32 (.f32 (PI.f32) 2) 1/4) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) 2) 1/4) (log.f32 (pow.f32 alpha (pow.f32 (.f32 (PI.f32) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 2) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))) (sqrt.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) 1/2) (.f32 2 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 3 (log.f32 (cbrt.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (.f32 3 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) 2)) 1/2 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) 1/2)) (log.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) 1) (sqrt.f32 (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) 1/2)) (log.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) (cbrt.f32 (.f32 (PI.f32) 2))) (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) (pow.f32 (.f32 (PI.f32) 2) 1/4)) (pow.f32 (.f32 (PI.f32) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 (PI.f32) 2) (.f32 (log.f32 alpha) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 alpha (sqrt.f32 (*.f32 (PI.f32) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (/.f32 1 (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 alpha alpha -1) (.f32 (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 2) (.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 2) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (neg.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (/.f32 1 (neg.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) 2) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (/.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) 1) (/.f32 (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 2) 1) (/.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 1) (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 2) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) 2)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (cbrt.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 alpha alpha -1) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (/.f32 1 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) 2) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))) (/.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)))) (hypot.f32 1 (.f32 (sqrt.f32 (fma.f32 alpha alpha -1)) cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 alpha alpha -1)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)) (fma.f32 alpha alpha -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (/.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) (fma.f32 alpha alpha -1)) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) (neg.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (PI.f32) 2) (log.f32 alpha))) 3) (pow.f32 (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (.f32 (.f32 (PI.f32) 2) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1)))))))))

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary32`
481×	`distribute-rgt-in_binary32`
464×	`distribute-lft-in_binary32`
352×	`associate-/l/_binary32`
272×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	4220
1	720	2982
2	3283	2861

Stop Event

1×	node limit

Counts

210 → 211

Calls

Call 1

Inputs
(/.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 (.f32 (sqrt.f32 2) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 2) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 2) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 2) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
(.f32 -1 (.f32 (*.f32 (sqrt.f32 2) (log.f32 (/.f32 1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 -1 (.f32 (*.f32 (sqrt.f32 2) (log.f32 (/.f32 1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 -1 (.f32 (*.f32 (sqrt.f32 2) (log.f32 (/.f32 1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 -1 (.f32 (*.f32 (sqrt.f32 2) (log.f32 (/.f32 1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 2) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 2) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 2) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 2) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))) (sqrt.f32 (PI.f32)))
(/.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))))
(-.f32 (.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (+.f32 (.f32 (/.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(/.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))
(-.f32 (.f32 (/.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (+.f32 (.f32 (/.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (+.f32 (.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))))) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6))) (sqrt.f32 (/.f32 1 (PI.f32)))) (+.f32 (.f32 (/.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (sqrt.f32 (/.f32 1 (PI.f32))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))
(+.f32 (.f32 (/.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(+.f32 (.f32 (/.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1 (.f32 (/.f32 (.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (sqrt.f32 (/.f32 1 (PI.f32)))))))
(+.f32 (.f32 (/.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6))) (sqrt.f32 (/.f32 1 (PI.f32)))))))
(/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32))))
(-.f32 (+.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 -1 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))))
(-.f32 (+.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))))) (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 alpha) (PI.f32)))))
(-.f32 (+.f32 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))) (+.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 -1 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 4) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 alpha) (PI.f32)))))
(/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))
(-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))
(-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))

Outputs
(/.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (/.f32 -1 (pow.f32 (sqrt.f32 2) 2)) (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(-.f32 (/.f32 (/.f32 (.f32 alpha alpha) (pow.f32 (sqrt.f32 2) 2)) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)) (*.f32 2 (PI.f32)))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(-.f32 (/.f32 (/.f32 (.f32 alpha alpha) (pow.f32 (sqrt.f32 2) 2)) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)) (*.f32 2 (PI.f32)))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(-.f32 (/.f32 (/.f32 (.f32 alpha alpha) (pow.f32 (sqrt.f32 2) 2)) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)) (*.f32 2 (PI.f32)))
(.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(neg.f32 (/.f32 (.f32 alpha alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha))))))
(.f32 -1/2 (/.f32 (.f32 alpha alpha) (*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(.f32 (/.f32 alpha (.f32 (log.f32 alpha) -2)) (neg.f32 (/.f32 alpha (PI.f32))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1 (/.f32 (.f32 alpha alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (/.f32 (/.f32 1 (pow.f32 (sqrt.f32 2) 2)) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (/.f32 1/2 (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (.f32 (/.f32 alpha (*.f32 (log.f32 alpha) -2)) (/.f32 alpha (PI.f32))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1 (/.f32 (.f32 alpha alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (/.f32 (/.f32 1 (pow.f32 (sqrt.f32 2) 2)) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (/.f32 1/2 (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (.f32 (/.f32 alpha (*.f32 (log.f32 alpha) -2)) (/.f32 alpha (PI.f32))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))))
(fma.f32 -1 (/.f32 (.f32 alpha alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (/.f32 (/.f32 1 (pow.f32 (sqrt.f32 2) 2)) (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (neg.f32 (log.f32 alpha))))) (/.f32 1/2 (.f32 (PI.f32) (neg.f32 (log.f32 alpha)))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (.f32 (/.f32 alpha (*.f32 (log.f32 alpha) -2)) (/.f32 alpha (PI.f32))))
(/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(/.f32 (.f32 alpha alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))))
(.f32 (/.f32 alpha 2) (/.f32 alpha (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))))
(+.f32 (.f32 (/.f32 alpha 2) (/.f32 alpha (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))) (/.f32 -1/2 (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(fma.f32 (/.f32 alpha 2) (/.f32 alpha (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))))
(+.f32 (.f32 (/.f32 alpha 2) (/.f32 alpha (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))) (/.f32 -1/2 (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(fma.f32 (/.f32 alpha 2) (/.f32 alpha (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))))
(+.f32 (.f32 (/.f32 alpha 2) (/.f32 alpha (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))) (/.f32 -1/2 (*.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(fma.f32 (/.f32 alpha 2) (/.f32 alpha (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))) (/.f32 -1/2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (PI.f32) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (PI.f32) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (PI.f32) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 2 (.f32 (PI.f32) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (PI.f32) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))
(.f32 (.f32 (sqrt.f32 2) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 2) (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 2) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 2) (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 2) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 2) (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 2) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 2) (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))
(.f32 -1 (.f32 (*.f32 (sqrt.f32 2) (log.f32 (/.f32 1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 2) (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))
(.f32 -1 (.f32 (*.f32 (sqrt.f32 2) (log.f32 (/.f32 1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 2) (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))
(.f32 -1 (.f32 (*.f32 (sqrt.f32 2) (log.f32 (/.f32 1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 2) (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))
(.f32 -1 (.f32 (*.f32 (sqrt.f32 2) (log.f32 (/.f32 1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 2) (.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 2) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 2) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))
(.f32 (.f32 (sqrt.f32 2) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 2) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))
(.f32 (.f32 (sqrt.f32 2) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 2) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))
(.f32 (.f32 (sqrt.f32 2) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 2) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))
(/.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))))
(/.f32 (/.f32 -1 (pow.f32 (sqrt.f32 2) 2)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(-.f32 (.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 (.f32 alpha alpha) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))))))))
(fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 alpha (.f32 alpha (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (-.f32 1 (.f32 cosTheta cosTheta))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))))) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))))
(fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 alpha (.f32 alpha (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 1 (.f32 cosTheta cosTheta))))))
(-.f32 (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (fma.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4))))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 (.f32 alpha alpha) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 1 (neg.f32 (*.f32 cosTheta cosTheta))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (.f32 alpha (.f32 alpha (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (-.f32 1 (.f32 cosTheta cosTheta))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))))) (neg.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (-.f32 1 (.f32 cosTheta cosTheta))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta (.f32 cosTheta (pow.f32 alpha 4)))))))) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))))
(fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (.f32 alpha (.f32 alpha (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))))) (.f32 (.f32 (/.f32 (.f32 cosTheta cosTheta) (-.f32 1 (.f32 cosTheta cosTheta))) (pow.f32 alpha 4)) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta))))))
(-.f32 (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 4))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (+.f32 (.f32 (/.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 (.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(-.f32 (fma.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4))))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))))) (/.f32 (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6)))) (.f32 (.f32 alpha alpha) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta)))))) (sqrt.f32 (/.f32 1 (PI.f32)))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2))))))))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))))))))
(fma.f32 (neg.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (-.f32 1 (.f32 cosTheta cosTheta))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 cosTheta (.f32 cosTheta (pow.f32 alpha 4)))))) (sqrt.f32 (/.f32 1 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (.f32 alpha (.f32 alpha (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (-.f32 1 (.f32 cosTheta cosTheta))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))))) (.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (-.f32 1 (.f32 cosTheta cosTheta))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6)))) (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (fma.f32 alpha (.f32 alpha (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (.f32 (.f32 (/.f32 (pow.f32 alpha 6) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)) (pow.f32 cosTheta 4)) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))))) (.f32 (.f32 (/.f32 (.f32 cosTheta cosTheta) (-.f32 1 (.f32 cosTheta cosTheta))) (pow.f32 alpha 4)) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta))))))
(/.f32 -1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))
(/.f32 (/.f32 -1 (pow.f32 (sqrt.f32 2) 2)) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (neg.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 -1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))
(-.f32 (.f32 (/.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(fma.f32 (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 cosTheta cosTheta))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 alpha alpha)) (sqrt.f32 (/.f32 1 (PI.f32))) (neg.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))
(fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 alpha alpha)) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta))))))
(fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) -2)) (pow.f32 cosTheta 4)))) (.f32 alpha alpha)) (/.f32 -1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(-.f32 (+.f32 (.f32 (/.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (fma.f32 (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 cosTheta cosTheta))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 alpha alpha)) (sqrt.f32 (/.f32 1 (PI.f32))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (pow.f32 alpha 4)) (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 cosTheta cosTheta))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 cosTheta cosTheta)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 alpha alpha)) (neg.f32 (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 cosTheta cosTheta)))))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta))))))
(fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) -2)) (pow.f32 cosTheta 4)))) (.f32 alpha alpha)) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) -2)) (pow.f32 cosTheta 4)))) (.f32 cosTheta cosTheta)))) (/.f32 -1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(-.f32 (+.f32 (.f32 (/.f32 (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))))) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6))) (sqrt.f32 (/.f32 1 (PI.f32)))) (+.f32 (.f32 (/.f32 (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32)))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (-.f32 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32)))) (.f32 -1 (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (sqrt.f32 (/.f32 1 (PI.f32))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 (/.f32 1 alpha)) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(-.f32 (fma.f32 (.f32 (/.f32 (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2) (pow.f32 cosTheta 4)) (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 cosTheta cosTheta))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (pow.f32 alpha 6))) (sqrt.f32 (/.f32 1 (PI.f32))) (fma.f32 (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 cosTheta cosTheta))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 alpha alpha)) (sqrt.f32 (/.f32 1 (PI.f32))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (pow.f32 alpha 4)) (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 cosTheta cosTheta))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 cosTheta cosTheta))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))
(+.f32 (fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 cosTheta 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (pow.f32 alpha 6))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 alpha alpha)) (neg.f32 (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (neg.f32 (log.f32 alpha)) (pow.f32 cosTheta 4))))))) (.f32 cosTheta cosTheta))))))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (neg.f32 (.f32 cosTheta cosTheta))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 cosTheta 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) -2)) (pow.f32 cosTheta 4)))) (pow.f32 alpha 6)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) -2)) (pow.f32 cosTheta 4)))) (.f32 alpha alpha))) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) -2)) (pow.f32 cosTheta 4)))) (.f32 cosTheta cosTheta))))) (/.f32 -1/2 (.f32 (log.f32 alpha) (neg.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta))))))
(/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))
(/.f32 1 (.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))
(/.f32 (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (*.f32 cosTheta cosTheta)) (PI.f32))
(/.f32 (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (PI.f32))
(+.f32 (.f32 (/.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (*.f32 (pow.f32 cosTheta 2) (PI.f32))))))
(fma.f32 (/.f32 (-.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)))))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha)) (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))) (.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))
(fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha)) (/.f32 (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)) (PI.f32)))
(fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 cosTheta 4) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))) (.f32 alpha alpha)) (/.f32 (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (*.f32 cosTheta cosTheta))) (PI.f32)))
(+.f32 (.f32 (/.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (.f32 -1 (.f32 (/.f32 (.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (sqrt.f32 (/.f32 1 (PI.f32)))))))
(+.f32 (fma.f32 (/.f32 (-.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)))))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha)) (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 (/.f32 (-.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)))))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))))) (pow.f32 alpha 4)) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta))))))
(-.f32 (fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha)) (/.f32 (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))))) (.f32 cosTheta cosTheta)))))
(+.f32 (/.f32 (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (PI.f32)) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4)) (neg.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 cosTheta 4) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))) (.f32 cosTheta cosTheta)))) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 cosTheta 4) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))) (*.f32 alpha alpha)))))
(+.f32 (.f32 (/.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (pow.f32 alpha 2)) (sqrt.f32 (/.f32 1 (PI.f32)))) (+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))) (.f32 (pow.f32 alpha 4) (pow.f32 cosTheta 2))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (.f32 (-.f32 (.f32 -1 (.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 2)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (.f32 (/.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))) (sqrt.f32 (/.f32 1 (PI.f32))))) (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2)) (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6))) (sqrt.f32 (/.f32 1 (PI.f32)))))))
(fma.f32 (/.f32 (-.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)))))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha)) (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 1 (.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (fma.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (.f32 (/.f32 (-.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)))))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))))) (pow.f32 alpha 4)) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (-.f32 (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)))))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (pow.f32 cosTheta 4)))))) (/.f32 (.f32 (pow.f32 cosTheta 4) (pow.f32 alpha 6)) (pow.f32 (+.f32 1 (neg.f32 (.f32 cosTheta cosTheta))) 2)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (neg.f32 (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (pow.f32 alpha 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))))) (.f32 cosTheta cosTheta)))) (.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 cosTheta 4)) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))))) (pow.f32 alpha 6))))) (fma.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (pow.f32 cosTheta 4)))))) (.f32 alpha alpha)) (/.f32 (/.f32 (/.f32 1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))) (.f32 cosTheta cosTheta)) (PI.f32))))
(+.f32 (/.f32 (/.f32 1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (PI.f32)) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (+.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 cosTheta 4) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))) (.f32 alpha alpha)) (-.f32 (.f32 (/.f32 (/.f32 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2) (pow.f32 alpha 6)) (pow.f32 cosTheta 4)) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 cosTheta 4) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))))))))) (.f32 (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (.f32 cosTheta cosTheta) (pow.f32 alpha 4))) (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (/.f32 -1/2 (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 1 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 cosTheta 4) (.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 alpha)))))))))))))
(/.f32 (-.f32 (pow.f32 alpha 2) 1) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32))))
(-.f32 (/.f32 (/.f32 (.f32 alpha alpha) (pow.f32 (sqrt.f32 2) 2)) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)) (*.f32 2 (PI.f32)))
(-.f32 (+.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 -1 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))))
(+.f32 (/.f32 (/.f32 (.f32 alpha alpha) (pow.f32 (sqrt.f32 2) 2)) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 (neg.f32 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha -1) 2))) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (fma.f32 alpha alpha -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32)))))
(fma.f32 -1/2 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha -1) 2))) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)) (.f32 2 (PI.f32))))
(-.f32 (+.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))))) (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 alpha) (PI.f32)))))
(+.f32 (/.f32 (/.f32 (.f32 alpha alpha) (pow.f32 (sqrt.f32 2) 2)) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 (fma.f32 -1 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (/.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))) (pow.f32 cosTheta 4)))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 alpha) (PI.f32))))))
(+.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) 2) (/.f32 (pow.f32 cosTheta 4) (.f32 (log.f32 alpha) (PI.f32))) (.f32 -1/2 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha -1) 2))) (.f32 (log.f32 alpha) (PI.f32))))) (/.f32 (fma.f32 alpha alpha -1) (.f32 2 (*.f32 (log.f32 alpha) (PI.f32)))))
(+.f32 (fma.f32 -1/2 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha -1) 2))) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (/.f32 (pow.f32 cosTheta 4) (.f32 2 (log.f32 alpha))) (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (PI.f32)))) (/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)) (.f32 2 (PI.f32))))
(-.f32 (+.f32 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (pow.f32 cosTheta 4)) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))) (+.f32 (/.f32 (pow.f32 alpha 2) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (pow.f32 cosTheta 2)) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 -1 (/.f32 (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 4) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32)))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (log.f32 alpha) (PI.f32)))))
(+.f32 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (/.f32 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32))) (pow.f32 cosTheta 4))) (-.f32 (+.f32 (/.f32 (/.f32 (.f32 alpha alpha) (pow.f32 (sqrt.f32 2) 2)) (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 -1 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (neg.f32 (.f32 (/.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 6) (.f32 (pow.f32 (sqrt.f32 2) 2) (PI.f32))))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (PI.f32))))))
(fma.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (log.f32 alpha)) (/.f32 (pow.f32 cosTheta 4) (.f32 2 (PI.f32))) (+.f32 (-.f32 (.f32 -1/2 (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha -1) 2))) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 (/.f32 (pow.f32 cosTheta 6) (log.f32 alpha)) (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 4) (.f32 2 (PI.f32))))) (/.f32 (fma.f32 alpha alpha -1) (.f32 2 (*.f32 (log.f32 alpha) (PI.f32))))))
(fma.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) 2) (/.f32 (pow.f32 cosTheta 4) (.f32 (log.f32 alpha) (PI.f32))) (+.f32 (.f32 (/.f32 -1 (.f32 2 (log.f32 alpha))) (+.f32 (/.f32 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 4) (pow.f32 cosTheta 6)) (PI.f32)) (/.f32 (.f32 cosTheta (.f32 cosTheta (pow.f32 (fma.f32 alpha alpha -1) 2))) (PI.f32)))) (/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha)) (*.f32 2 (PI.f32)))))
(/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))
(/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (PI.f32) (pow.f32 cosTheta 4)))))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 (pow.f32 cosTheta 4) (fma.f32 alpha alpha -1)))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))) (*.f32 (PI.f32) (pow.f32 cosTheta 4))))
(-.f32 (+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (pow.f32 cosTheta 6)))))) (-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (pow.f32 cosTheta 4))))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (pow.f32 cosTheta 6))))) (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 (pow.f32 cosTheta 4) (fma.f32 alpha alpha -1))))))
(+.f32 (/.f32 1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))
(-.f32 (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (pow.f32 cosTheta 6)))))) (-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (*.f32 (PI.f32) (pow.f32 cosTheta 8)))))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (pow.f32 cosTheta 6))))) (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 (pow.f32 cosTheta 4) (fma.f32 alpha alpha -1)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 2 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (.f32 (PI.f32) (pow.f32 cosTheta 8)))))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (+.f32 (/.f32 1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (-.f32 (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 8)) (.f32 2 (pow.f32 (fma.f32 alpha alpha -1) 3)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))) (*.f32 (PI.f32) (pow.f32 cosTheta 4))))))
(/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (pow.f32 cosTheta 2) (PI.f32)))))
(/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))))
(/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (*.f32 cosTheta cosTheta))))
(-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (PI.f32) (pow.f32 cosTheta 4)))))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (*.f32 (pow.f32 cosTheta 4) (fma.f32 alpha alpha -1)))))
(-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))) (*.f32 (PI.f32) (pow.f32 cosTheta 4))))
(-.f32 (+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32)))))))
(+.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (pow.f32 cosTheta 6)))))) (-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (pow.f32 cosTheta 4))))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (pow.f32 cosTheta 6))))) (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 (pow.f32 cosTheta 4) (fma.f32 alpha alpha -1))))))
(+.f32 (/.f32 1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))
(-.f32 (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 2) (.f32 (pow.f32 cosTheta 6) (PI.f32)))))) (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32)))))) (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (-.f32 (pow.f32 alpha 2) 1) 3) (.f32 (pow.f32 cosTheta 8) (PI.f32)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (-.f32 (pow.f32 alpha 2) 1) (*.f32 (pow.f32 cosTheta 4) (PI.f32))))))))
(+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (pow.f32 cosTheta 6)))))) (-.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta))))) (+.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (pow.f32 cosTheta 4)))))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 (sqrt.f32 2) 2) (.f32 (pow.f32 (+.f32 (.f32 alpha alpha) -1) 3) (*.f32 (PI.f32) (pow.f32 cosTheta 8)))))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (-.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (pow.f32 (fma.f32 alpha alpha -1) 2) (pow.f32 cosTheta 6))))) (+.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (.f32 (PI.f32) (.f32 (pow.f32 cosTheta 4) (fma.f32 alpha alpha -1)))) (/.f32 1 (.f32 (log.f32 alpha) (.f32 2 (.f32 (pow.f32 (fma.f32 alpha alpha -1) 3) (.f32 (PI.f32) (pow.f32 cosTheta 8)))))))))
(+.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (+.f32 (/.f32 1/2 (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 6)) (.f32 (log.f32 alpha) (pow.f32 (fma.f32 alpha alpha -1) 2)))) (-.f32 (/.f32 (/.f32 -1 (log.f32 alpha)) (.f32 (.f32 (PI.f32) (pow.f32 cosTheta 8)) (.f32 2 (pow.f32 (fma.f32 alpha alpha -1) 3)))) (/.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (fma.f32 alpha alpha -1))) (*.f32 (PI.f32) (pow.f32 cosTheta 4))))))

prune462.0ms (8.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	212	9	221

Error

Counts

221 → 9

Alt Table

Status	Error	Program
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 3) 1) (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 2) (-.f32 1 (.f32 (.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta)) 1)))))
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 1/2 (neg.f32 (log.f32 alpha))) (PI.f32))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (pow.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha))) -1) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.6b	(+.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (fma.f32 alpha (.f32 alpha (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (.f32 (.f32 (/.f32 (pow.f32 alpha 6) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)) (pow.f32 cosTheta 4)) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))))) (.f32 (.f32 (/.f32 (.f32 cosTheta cosTheta) (-.f32 1 (.f32 cosTheta cosTheta))) (pow.f32 alpha 4)) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta))))))
	0.4b	(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (PI.f32) 2))) (/.f32 1 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
	0.5b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) 2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (pow.f32 (cbrt.f32 alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
	0.4b	(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2))))) (log.f32 (cbrt.f32 (pow.f32 alpha (.f32 2 (sqrt.f32 (.f32 (PI.f32) 2))))))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))

Compiler

Compiled 8744 to 5764 computations (34.1% saved)

regimes71.0ms (1.3%)

Accuracy

Total -1.1b remaining (-290.8%)

Threshold costs -1.1b (-290.8%)

Counts

22 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (-.f32 (fma.f32 alpha (.f32 alpha (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))) (.f32 (.f32 (/.f32 (pow.f32 alpha 6) (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)) (pow.f32 cosTheta 4)) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2))))))) (.f32 (.f32 (/.f32 (.f32 cosTheta cosTheta) (-.f32 1 (.f32 cosTheta cosTheta))) (pow.f32 alpha 4)) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (PI.f32))) (log.f32 alpha)) (+.f32 (/.f32 1 (fma.f32 (.f32 cosTheta cosTheta) -2 2)) (/.f32 (.f32 cosTheta cosTheta) (.f32 2 (pow.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 2)))))))) (/.f32 -1/2 (.f32 (PI.f32) (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta))))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (+.f32 (log.f32 (cbrt.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2))))) (log.f32 (cbrt.f32 (pow.f32 alpha (.f32 2 (sqrt.f32 (.f32 (PI.f32) 2))))))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 alpha) 2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)) (pow.f32 (cbrt.f32 alpha) (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (.f32 (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (PI.f32) 2))) (/.f32 1 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) 2)) 2) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 alpha)))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) (.f32 2 (log.f32 alpha))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (fma.f32 -1/2 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 1/2 (neg.f32 (log.f32 alpha))) (PI.f32))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (pow.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 (fma.f32 alpha alpha -1) (log.f32 alpha))) -1) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 2))) (log.f32 (pow.f32 (cbrt.f32 (.f32 alpha alpha)) (PI.f32))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (sqrt.f32 (.f32 (PI.f32) 2)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (cbrt.f32 (.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) 4)))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 3) 1) (+.f32 (pow.f32 (.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta)) 2) (-.f32 1 (.f32 (.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta)) 1)))))
(/.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (log.f32 alpha)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) 1) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(-.f32 (+.f32 (.f32 1/2 (.f32 (pow.f32 alpha 2) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 cosTheta 2) (.f32 (pow.f32 alpha 4) (-.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32)))) (.f32 -1 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (.f32 (pow.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) 2) (PI.f32)))))))) (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2)))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (log.f32 (pow.f32 alpha (.f32 (PI.f32) 2)))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) 2)) (/.f32 (fma.f32 alpha alpha -1) (cbrt.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))) (fma.f32 (fma.f32 alpha alpha -1) (.f32 cosTheta cosTheta) 1))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (log.f32 (+.f32 1 (expm1.f32 (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1)))))
(/.f32 (.f32 (/.f32 (cbrt.f32 (pow.f32 (fma.f32 alpha alpha -1) 2)) (.f32 (PI.f32) 2)) (/.f32 (cbrt.f32 (fma.f32 alpha alpha -1)) (log.f32 alpha))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (/.f32 (fma.f32 alpha alpha -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))

Outputs

(/.f32 (/.f32 (fma.f32 alpha alpha -1) (*.f32 (cbrt.f32 (*.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))

Results

13.0ms	0.4b	`cosTheta`
12.0ms	0.4b	`alpha`
11.0ms	0.4b	`(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta) cosTheta))))`
12.0ms	0.4b	`(*.f32 alpha alpha)`

Compiler

Compiled 904 to 572 computations (36.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary32`
1×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	45
1	26	45

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f32 (/.f32 (fma.f32 alpha alpha -1) (*.f32 (cbrt.f32 (*.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))

Outputs

(/.f32 (/.f32 (fma.f32 alpha alpha -1) (*.f32 (cbrt.f32 (*.f32 (PI.f32) 2)) (log.f32 (pow.f32 alpha (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) 4)))))) (fma.f32 (fma.f32 alpha alpha -1) (*.f32 cosTheta cosTheta) 1))

end62.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 62 to 46 computations (25.8% saved)

Details

analyze64.0ms (1.2%)

sample1.9s (35.5%)

preprocess44.0ms (0.8%)

simplify55.0ms (1%)

prune4.0ms (0.1%)

localize47.0ms (0.9%)

series76.0ms (1.4%)

rewrite98.0ms (1.8%)

simplify65.0ms (1.2%)

prune442.0ms (8.2%)

localize50.0ms (0.9%)

series113.0ms (2.1%)

rewrite90.0ms (1.7%)

simplify67.0ms (1.2%)

prune551.0ms (10.2%)

localize72.0ms (1.3%)

series75.0ms (1.4%)

rewrite159.0ms (3%)

simplify56.0ms (1%)

prune392.0ms (7.3%)

localize62.0ms (1.2%)

series139.0ms (2.6%)

rewrite86.0ms (1.6%)

simplify81.0ms (1.5%)

prune462.0ms (8.6%)

regimes71.0ms (1.3%)

simplify2.0ms (0%)

end62.0ms (1.1%)

Profiling