Details

analyze61.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.6%	99.4%	0%	0%	0%	0
0%	0%	0.6%	99.4%	0%	0%	0%	1
0%	0%	0.6%	99.4%	0%	0%	0%	2
50%	0.3%	0.3%	99.4%	0%	0%	0%	3
50%	0.3%	0.3%	99.4%	0%	0%	0%	4
75%	0.5%	0.2%	99.4%	0%	0%	0%	5
75%	0.5%	0.2%	99.4%	0%	0%	0%	6
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	7
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	8
93.8%	0.6%	0%	99.4%	0%	0%	0%	9
93.8%	0.6%	0%	99.4%	0%	0%	0%	10
96.9%	0.6%	0%	99.4%	0%	0%	0%	11
96.9%	0.6%	0%	99.4%	0%	0%	0%	12

Compiler

Compiled 41 to 27 computations (34.1% saved)

sample3.9s (24.3%)

Results

3.8s

8256×

body

256

valid

Bogosity

preprocess88.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1298×	`rational.json-simplify-51`
1260×	`rational.json-simplify-2`
1094×	`rational.json-simplify-53`
852×	`rational.json-simplify-1`
852×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	146
1	53	146
2	115	146
3	295	146
4	1066	146
5	4847	146
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 (.f32 alpha alpha) -1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 1 (.f32 cosTheta (.f32 (-.f32 (*.f32 alpha alpha) 1) cosTheta))))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (.f32 alpha alpha))) (PI.f32)) (+.f32 1 (.f32 (-.f32 (.f32 alpha alpha) 1) (*.f32 cosTheta cosTheta))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (+.f32 1 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta))))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 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))))
(/.f32 (+.f32 (.f32 cosTheta cosTheta) -1) (.f32 (.f32 (PI.f32) (log.f32 (.f32 cosTheta cosTheta))) (+.f32 1 (.f32 alpha (.f32 alpha (+.f32 (*.f32 cosTheta cosTheta) -1))))))
(/.f32 (/.f32 (+.f32 (.f32 cosTheta cosTheta) -1) (.f32 (PI.f32) (log.f32 (.f32 cosTheta cosTheta)))) (+.f32 1 (.f32 (.f32 alpha alpha) (+.f32 (.f32 cosTheta cosTheta) -1))))
(/.f32 (+.f32 (.f32 cosTheta cosTheta) -1) (.f32 (PI.f32) (.f32 (log.f32 (.f32 cosTheta cosTheta)) (+.f32 1 (.f32 (.f32 alpha alpha) (+.f32 (*.f32 cosTheta cosTheta) -1))))))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational.json-simplify-51`
1232×	`rational.json-simplify-2`
962×	`rational.json-simplify-1`
886×	`rational.json-simplify-59`
742×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	31	73
2	63	73
3	154	73
4	541	73
5	3207	73
6	5488	73
7	7785	73

Stop Event

1×	node limit

Counts

1 → 5

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

eval1.0ms (0%)

Compiler: Compiled 122 to 55 computations (54.9% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

0.5b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize145.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))
✓	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.3b	(/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
✓	0.4b	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Compiler

Compiled 88 to 36 computations (59.1% saved)

series35.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	alpha	@	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
10.0ms	alpha	@	inf	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
0.0ms	cosTheta	@	0	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
0.0ms	alpha	@	0	(/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
0.0ms	alpha	@	inf	(/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`rational.json-simplify-35`
1182×	`rational.json-1`
1182×	`rational.json-2`
1182×	`rational.json-3`
1170×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	106	100
2	256	100
3	779	100
4	2948	100

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) 2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) 2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1/2) (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) 2)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (-.f32 1 (.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))) (-.f32 1 (.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (+.f32 cosTheta cosTheta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4))) (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta cosTheta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta cosTheta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta cosTheta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta cosTheta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta (+.f32 cosTheta cosTheta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4))) (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 1)))))

simplify204.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1392×	`rational.json-simplify-2`
1130×	`rational.json-simplify-53`
1034×	`rational.json-simplify-51`
852×	`rational.json-simplify-1`
684×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	191	4485
1	438	4325
2	1047	4325
3	3499	4325
4	6213	4325

Stop Event

1×	node limit

Counts

147 → 137

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 (PI.f32) (log.f32 (/.f32 -1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))
(.f32 -2 (.f32 (PI.f32) (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 (.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 (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 cosTheta)
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(*.f32 cosTheta (pow.f32 alpha 2))
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(*.f32 cosTheta (pow.f32 alpha 2))
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(+.f32 (.f32 -1 cosTheta) (.f32 cosTheta (pow.f32 alpha 2)))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) cosTheta)
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 (-.f32 (pow.f32 alpha 2) 1) (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(+.f32 (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)) (.f32 -1 (pow.f32 cosTheta 2)))
(+.f32 (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)) (.f32 -1 (pow.f32 cosTheta 2)))
(+.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 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)))
(+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)))
(+.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 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)))
(+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)))
(+.f32 (.f32 -1 (pow.f32 cosTheta 2)) (.f32 (pow.f32 cosTheta 2) (pow.f32 alpha 2)))
(+.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 0)
(+.f32 0 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(-.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 0)
(-.f32 0 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 1)
(/.f32 (.f32 (PI.f32) (.f32 (log.f32 (*.f32 alpha alpha)) 2)) 2)
(/.f32 (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) 4) 4)
(/.f32 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) -1)
(/.f32 (.f32 (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) 2)) 4) 8)
(/.f32 (.f32 2 (neg.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) -2)
(/.f32 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 (log.f32 (*.f32 alpha alpha)) 2)) 4)) 16)
(pow.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 1)
(neg.f32 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(+.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 0)
(+.f32 0 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))))
(-.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 0)
(.f32 -1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 -1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(.f32 -1 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (*.f32 alpha alpha))) 1)
(.f32 1 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha))))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 (log.f32 (*.f32 alpha alpha)) 2))))
(.f32 2 (/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (*.f32 alpha alpha))) 2))
(.f32 (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 2) 1/2)
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))) (/.f32 1 (.f32 (log.f32 (*.f32 alpha alpha)) 2)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))) (/.f32 1/2 (PI.f32)))
(.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 1/2 (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 2))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1/2) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) -1)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))) -1)
(.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) -1)
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) 2)) (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 (log.f32 (*.f32 alpha alpha)) 2))) 2)
(.f32 (/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (*.f32 alpha alpha))) 2) 2)
(.f32 (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)))
(pow.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 1)
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
(+.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 0)
(+.f32 0 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))
(-.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 0)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 1)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (+.f32 cosTheta cosTheta)) 2)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta 4)) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4))) (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4)))) 16)
(pow.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 1)
(+.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 0)
(+.f32 0 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)))
(-.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 0)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 1)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta (+.f32 cosTheta cosTheta))) 2)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4)) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (*.f32 cosTheta cosTheta) 4))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4))) (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4)))) 16)
(pow.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 1)

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 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2))
(.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2))
(.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2))
(.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))
(.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2))
(.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))
(.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2))
(.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 -1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))
(.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2))
(.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 -1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))
(.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2))
(.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 -1 alpha))))
(.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))
(.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2))
(.f32 (PI.f32) (.f32 -2 (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 (.f32 1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (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 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (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 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
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(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))) (/.f32 1/2 (PI.f32)))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 2 (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 1/2 (PI.f32)) (/.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (log.f32 (*.f32 alpha alpha)) 2)))
(.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 (+.f32 -2 (.f32 alpha (+.f32 alpha alpha))) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (+.f32 -2 (.f32 alpha (+.f32 alpha alpha))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 2 (+.f32 -1 (*.f32 alpha alpha))))
(.f32 1/2 (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 2))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 2 (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 1/2 (PI.f32)) (/.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (log.f32 (*.f32 alpha alpha)) 2)))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1/2) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) -1)
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))) -1)
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) -1)
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) 2)) (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 (log.f32 (*.f32 alpha alpha)) 2))) 2)
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (*.f32 alpha alpha))) 2) 2)
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 4 (/.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 4)))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 4 (/.f32 1/4 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 4 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) 4)))
(.f32 4 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (*.f32 (PI.f32) 4))))
(.f32 4 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/4 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(pow.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 1)
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 0)
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(+.f32 0 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(-.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 0)
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 1)
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (+.f32 cosTheta cosTheta)) 2)
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta 4)) 4)
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4))) 8)
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4))) (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 cosTheta 4)))) 16)
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(pow.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta) 1)
(.f32 cosTheta (+.f32 -1 (.f32 alpha alpha)))
(+.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 0)
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))
(+.f32 0 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))
(-.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 0)
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 1)
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta (+.f32 cosTheta cosTheta))) 2)
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4)) 4)
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (*.f32 cosTheta cosTheta) 4))) 8)
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4))) (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 cosTheta cosTheta) 4)))) 16)
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))
(pow.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 cosTheta cosTheta)) 1)
(.f32 (+.f32 -1 (.f32 alpha alpha)) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (+.f32 -1 (*.f32 alpha alpha))))

eval49.0ms (0.3%)

Compiler: Compiled 3691 to 1932 computations (47.7% saved)

prune40.0ms (0.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	13	138

Error

0.1b

Counts

138 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f32 (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	10.9b	(/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
▶	0.5b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
▶	0.4b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
▶	10.9b	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
▶	0.5b	(/.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
▶	0.5b	(/.f32 (.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))

Compiler

Compiled 696 to 474 computations (31.9% saved)

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.3b	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
✓	3.1b	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Compiler

Compiled 89 to 36 computations (59.6% saved)

series14.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	inf	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
4.0ms	alpha	@	0	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
0.0ms	alpha	@	0	(pow.f32 (*.f32 alpha alpha) (PI.f32))
0.0ms	alpha	@	inf	(pow.f32 (*.f32 alpha alpha) (PI.f32))
0.0ms	alpha	@	-inf	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2096×	`rational.json-1`
2096×	`rational.json-2`
2096×	`rational.json-3`
1214×	`rational.json-simplify-35`
832×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	83	52
2	201	52
3	546	52
4	2027	52
5	6703	52

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (.f32 alpha alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fabs.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32)))))))) (#(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 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (fabs.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (/.f32 1 (.f32 alpha alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 alpha (PI.f32)) 2) (/.f32 (pow.f32 alpha (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fabs.f32 (pow.f32 alpha (PI.f32))) (fabs.f32 (pow.f32 alpha (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fabs.f32 (pow.f32 (fabs.f32 alpha) (PI.f32))) (fabs.f32 (pow.f32 (fabs.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 alpha (.f32 alpha alpha)) (PI.f32)) (pow.f32 (/.f32 alpha (.f32 alpha alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (.f32 alpha alpha) (fabs.f32 alpha)) (PI.f32)) (pow.f32 (/.f32 1 (fabs.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 alpha (PI.f32)) 2) (.f32 (pow.f32 alpha (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (.f32 alpha alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fabs.f32 (.f32 (pow.f32 alpha (PI.f32)) 2)) (fabs.f32 (/.f32 (pow.f32 alpha (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 2 (PI.f32)) (pow.f32 (/.f32 (.f32 alpha alpha) 2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 alpha alpha) (PI.f32)) 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (*.f32 2 (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (/.f32 1 (*.f32 (PI.f32) (log.f32 (pow.f32 (*.f32 alpha alpha) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 -1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))) 1/2) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (*.f32 2 (log.f32 (*.f32 alpha alpha))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (log.f32 (pow.f32 (*.f32 alpha alpha) 4)))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (-.f32 1 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))))

simplify150.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1704×	`rational.json-simplify-35`
1296×	`rational.json-simplify-19`
670×	`rational.json-simplify-2`
550×	`rational.json-simplify-40`
462×	`rational.json-simplify-38`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	4258
1	704	4228
2	2631	4220
3	6266	4220

Stop Event

1×	node limit

Counts

122 → 163

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 (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))))
(/.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 (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 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 0)
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(-.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 0)
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(.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32))))
(.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fabs.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(.f32 1 (pow.f32 (.f32 alpha alpha) (PI.f32)))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(.f32 2 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2))
(.f32 2 (fabs.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2)))
(.f32 (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2) 1/2)
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(.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2) 2)
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(.f32 (fabs.f32 (.f32 (pow.f32 alpha (PI.f32)) 2)) (fabs.f32 (/.f32 (pow.f32 alpha (PI.f32)) 2)))
(.f32 (pow.f32 2 (PI.f32)) (pow.f32 (/.f32 (.f32 alpha alpha) 2) (PI.f32)))
(*.f32 (pow.f32 (+.f32 alpha alpha) (PI.f32)) (pow.f32 (/.f32 alpha 2) (PI.f32)))
(.f32 (pow.f32 (.f32 alpha (neg.f32 alpha)) (PI.f32)) (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 alpha (neg.f32 alpha))) (PI.f32)))
(.f32 (pow.f32 (.f32 alpha (+.f32 alpha alpha)) (PI.f32)) (pow.f32 1/2 (PI.f32)))
(*.f32 (pow.f32 (fabs.f32 (+.f32 alpha alpha)) (PI.f32)) (pow.f32 (/.f32 (fabs.f32 alpha) 2) (PI.f32)))
(/.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 1)
(/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (.f32 alpha alpha) (*.f32 (PI.f32) 2))))
(/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fabs.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (.f32 alpha alpha) (*.f32 (PI.f32) 2)))))
(/.f32 1 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (*.f32 (PI.f32) 2))))
(/.f32 1 (fabs.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (*.f32 (PI.f32) 2)))))
(/.f32 2 (+.f32 (/.f32 1 (pow.f32 (.f32 alpha alpha) (PI.f32))) (/.f32 1 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(/.f32 2 (+.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2))) (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)))))
(/.f32 2 (fabs.f32 (+.f32 (/.f32 1 (pow.f32 (.f32 alpha alpha) (PI.f32))) (/.f32 1 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
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(/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2) (+.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2))) (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)))))
(/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
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(/.f32 4 (fabs.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)))))
(/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4) 4)
(/.f32 (fabs.f32 (pow.f32 alpha (PI.f32))) (/.f32 1 (fabs.f32 (pow.f32 alpha (PI.f32)))))
(/.f32 8 (+.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2))) (/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)))))
(/.f32 (.f32 2 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2))) (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2))
(/.f32 (.f32 2 (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 4)) 8)
(/.f32 (neg.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2))) (neg.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(/.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 alpha (PI.f32))) (pow.f32 alpha (PI.f32)))
(/.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (fabs.f32 (pow.f32 alpha (PI.f32)))) (fabs.f32 (pow.f32 alpha (PI.f32))))
(/.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (fabs.f32 alpha) (PI.f32))) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(/.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (/.f32 1 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(/.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (/.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2))) (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(/.f32 (+.f32 (.f32 2 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2))) (.f32 2 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)))) (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4))
(/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4)) (.f32 2 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4))) 16)
(/.f32 (+.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 alpha (PI.f32))) (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 alpha (PI.f32)))) (*.f32 (pow.f32 alpha (PI.f32)) 2))
(/.f32 (+.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (fabs.f32 (pow.f32 alpha (PI.f32)))) (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (fabs.f32 (pow.f32 alpha (PI.f32))))) (fabs.f32 (*.f32 (pow.f32 alpha (PI.f32)) 2)))
(/.f32 (+.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (fabs.f32 alpha) (PI.f32))) (/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) 2)) (pow.f32 (fabs.f32 alpha) (PI.f32)))) (*.f32 2 (pow.f32 (fabs.f32 alpha) (PI.f32))))
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(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
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(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))) 1/2))
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(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
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(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(.f32 1/2 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (.f32 alpha alpha))) 1/2) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) -1)
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(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (pow.f32 (.f32 alpha alpha) 4)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 4))
(.f32 (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (+.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) (+.f32 (.f32 alpha alpha) -1))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))

Outputs
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (log.f32 alpha) (.f32 2 (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (log.f32 alpha) (.f32 2 (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (log.f32 alpha) (.f32 2 (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (log.f32 alpha) (.f32 2 (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 1 alpha)) -2)))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 1 alpha)) -2)))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 1 alpha)) -2)))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 1 alpha)) -2)))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2)))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2)))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2)))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2)))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 1 (*.f32 (PI.f32) (log.f32 (/.f32 1 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)))))
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(pow.f32 (*.f32 alpha alpha) (PI.f32))
(fabs.f32 (-.f32 0 (neg.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 -1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
(/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (neg.f32 (log.f32 (.f32 alpha alpha))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 2 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 2 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))) 1/2))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 2 (log.f32 (*.f32 alpha alpha))))))
(.f32 2 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 2 (.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2))
(.f32 2 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (.f32 2 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
(.f32 2 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 2 (.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2))
(.f32 2 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (.f32 2 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(.f32 2 (.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (*.f32 alpha alpha) -1)))
(.f32 (.f32 2 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 2 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) 1/2)
(.f32 1/2 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (/.f32 2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 -1 (*.f32 alpha alpha)) 1/2))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 1/2 (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (PI.f32) (log.f32 (pow.f32 (*.f32 alpha alpha) 4)))))
(.f32 (.f32 4 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1 (.f32 (PI.f32) (log.f32 (pow.f32 (*.f32 alpha alpha) 4)))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 4 (/.f32 1/4 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
(.f32 4 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/4 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
(.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(.f32 (.f32 2 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 2 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 1/2 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 1/2 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (/.f32 2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 -1 (*.f32 alpha alpha)) 1/2))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 1/2 (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (.f32 alpha alpha))) 1/2) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) -1)
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
(/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (neg.f32 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 2 (log.f32 (*.f32 alpha alpha))))) 2)
(.f32 2 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 2 (.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2))
(.f32 2 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (.f32 2 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2) 2)
(.f32 2 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 2 (.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2))
(.f32 2 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (.f32 2 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (pow.f32 (.f32 alpha alpha) 4)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 4))
(.f32 (.f32 4 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1 (.f32 (PI.f32) (log.f32 (pow.f32 (*.f32 alpha alpha) 4)))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 4 (/.f32 1/4 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
(.f32 4 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/4 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
(.f32 (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (+.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) (+.f32 (.f32 alpha alpha) -1))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (+.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
(/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (neg.f32 (log.f32 (.f32 alpha alpha))))

localize104.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.2b	(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
✓	0.4b	(*.f32 (log.f32 alpha) (PI.f32))

Compiler

Compiled 73 to 35 computations (52.1% saved)

series24.0ms (0.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	alpha	@	-inf	(*.f32 (log.f32 alpha) (PI.f32))
7.0ms	alpha	@	inf	(*.f32 (log.f32 alpha) (PI.f32))
6.0ms	alpha	@	0	(*.f32 (log.f32 alpha) (PI.f32))
1.0ms	alpha	@	-inf	(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
0.0ms	alpha	@	inf	(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-3`
1498×	`rational.json-4`
1496×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	69	32
2	177	32
3	494	32
4	1544	32
5	4465	32

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 alpha) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (log.f32 alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (log.f32 alpha) (PI.f32)) 2) (/.f32 (*.f32 (log.f32 alpha) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 1/2)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (log.f32 alpha) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 alpha) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 alpha (PI.f32)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (log.f32 alpha)) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (PI.f32)) (/.f32 -1/2 (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 -1/2 (log.f32 alpha)) 2) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 -1/2 (log.f32 alpha)) 2) (*.f32 1/2 (/.f32 1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (PI.f32)) (/.f32 1 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (PI.f32)) (*.f32 (/.f32 1 (log.f32 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 -1/2 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (PI.f32)) (/.f32 1/2 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (PI.f32)) (*.f32 (/.f32 -1/2 (log.f32 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 alpha)) (/.f32 -1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 1 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 1 (PI.f32)) (*.f32 (log.f32 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)))))))

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1462×	`rational.json-simplify-39`
1306×	`rational.json-simplify-2`
1160×	`rational.json-simplify-35`
818×	`rational.json-simplify-41`
666×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1511
1	265	1495
2	601	1369
3	1732	1369
4	4013	1369
5	6122	1369

Stop Event

1×	node limit

Counts

65 → 65

Calls

Call 1

Inputs
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) 0)
(+.f32 0 (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(+.f32 (/.f32 (.f32 (log.f32 alpha) (PI.f32)) 2) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) 2))
(+.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 1/2)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 1/2)))
(-.f32 (*.f32 (log.f32 alpha) (PI.f32)) 0)
(-.f32 0 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(/.f32 (*.f32 (log.f32 alpha) (PI.f32)) 1)
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) 2)
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 4)) 4)
(/.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)
(/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) 8) 8)
(/.f32 (.f32 2 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) 8)) 16)
(pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) 1)
(neg.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(log.f32 (pow.f32 alpha (PI.f32)))
(+.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 0)
(+.f32 0 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)))
(+.f32 -1 (-.f32 1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32))))
(+.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)))
(-.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 0)
(-.f32 0 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))
(*.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 1)
(*.f32 1 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)))
(*.f32 -1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))
(.f32 -1 (.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)) 1))
(*.f32 (/.f32 -1/2 (log.f32 alpha)) (/.f32 1 (PI.f32)))
(*.f32 2 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)))
(.f32 2 (.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) 1))
(.f32 2 (.f32 (/.f32 1/2 (PI.f32)) (/.f32 -1/2 (log.f32 alpha))))
(.f32 (.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 2) 1/2)
(.f32 (.f32 (/.f32 -1/2 (log.f32 alpha)) 2) (/.f32 1/2 (PI.f32)))
(.f32 (.f32 (/.f32 -1/2 (log.f32 alpha)) 2) (*.f32 1/2 (/.f32 1 (PI.f32))))
(*.f32 (/.f32 -1/2 (PI.f32)) (/.f32 1 (log.f32 alpha)))
(.f32 (/.f32 -1/2 (PI.f32)) (.f32 (/.f32 1 (log.f32 alpha)) 1))
(.f32 1/2 (.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 2))
(*.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 -1 (PI.f32)))
(*.f32 (/.f32 1 (PI.f32)) (/.f32 -1/2 (log.f32 alpha)))
(*.f32 (/.f32 -1 (PI.f32)) (/.f32 1/2 (log.f32 alpha)))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (/.f32 -1/2 (log.f32 alpha)) 2))
(*.f32 (/.f32 1 (log.f32 alpha)) (/.f32 -1/2 (PI.f32)))
(*.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)) -1)
(*.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) 2)
(pow.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 1)
(neg.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))
(neg.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))
(neg.f32 (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))))
(neg.f32 (/.f32 (/.f32 1 (PI.f32)) (*.f32 (log.f32 alpha) 2)))
(neg.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)))

Outputs
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(*.f32 (log.f32 (/.f32 1 alpha)) (neg.f32 (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(*.f32 (log.f32 (/.f32 1 alpha)) (neg.f32 (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(*.f32 (log.f32 (/.f32 1 alpha)) (neg.f32 (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(*.f32 (log.f32 (/.f32 1 alpha)) (neg.f32 (PI.f32)))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))))
(*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))))
(*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))))
(*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))))
(*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (/.f32 1 alpha)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (/.f32 1 alpha)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (/.f32 1 alpha)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (/.f32 1 alpha)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha))))))
(/.f32 -1/2 (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(/.f32 (/.f32 -1/2 (PI.f32)) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha))))))
(/.f32 -1/2 (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(/.f32 (/.f32 -1/2 (PI.f32)) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha))))))
(/.f32 -1/2 (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(/.f32 (/.f32 -1/2 (PI.f32)) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha))))))
(/.f32 -1/2 (*.f32 (PI.f32) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(/.f32 (/.f32 -1/2 (PI.f32)) (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))))
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) 0)
(*.f32 (PI.f32) (log.f32 alpha))
(+.f32 0 (*.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (PI.f32) (log.f32 alpha))
(+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(*.f32 (PI.f32) (log.f32 alpha))
(+.f32 (/.f32 (.f32 (log.f32 alpha) (PI.f32)) 2) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) 2))
(*.f32 (PI.f32) (log.f32 alpha))
(+.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 1/2)) (.f32 (log.f32 alpha) (.f32 (PI.f32) 1/2)))
(*.f32 (PI.f32) (log.f32 alpha))
(-.f32 (*.f32 (log.f32 alpha) (PI.f32)) 0)
(*.f32 (PI.f32) (log.f32 alpha))
(-.f32 0 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (*.f32 (log.f32 alpha) (PI.f32)) 1)
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) 2)
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 4)) 4)
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) 8) 8)
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (.f32 2 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) 8)) 16)
(*.f32 (PI.f32) (log.f32 alpha))
(pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) 1)
(*.f32 (PI.f32) (log.f32 alpha))
(neg.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(*.f32 (PI.f32) (log.f32 alpha))
(log.f32 (pow.f32 alpha (PI.f32)))
(+.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 0)
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(+.f32 0 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(+.f32 -1 (-.f32 1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32))))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(+.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)))
(+.f32 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(-.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 0)
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(-.f32 0 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 1)
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 1 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 -1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 -1 (.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)) 1))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (/.f32 -1/2 (log.f32 alpha)) (/.f32 1 (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 2 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)))
(+.f32 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) 1))
(+.f32 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (.f32 (/.f32 1/2 (PI.f32)) (/.f32 -1/2 (log.f32 alpha))))
(+.f32 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 (.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 2) 1/2)
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 (.f32 (/.f32 -1/2 (log.f32 alpha)) 2) (/.f32 1/2 (PI.f32)))
(+.f32 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 (.f32 (/.f32 -1/2 (log.f32 alpha)) 2) (*.f32 1/2 (/.f32 1 (PI.f32))))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (/.f32 -1/2 (PI.f32)) (/.f32 1 (log.f32 alpha)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 (/.f32 -1/2 (PI.f32)) (.f32 (/.f32 1 (log.f32 alpha)) 1))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(.f32 1/2 (.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 2))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 -1 (PI.f32)))
(*.f32 (/.f32 1 (PI.f32)) (/.f32 -1/2 (log.f32 alpha)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (/.f32 -1 (PI.f32)) (/.f32 1/2 (log.f32 alpha)))
(*.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 -1 (PI.f32)))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (/.f32 -1/2 (log.f32 alpha)) 2))
(+.f32 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(*.f32 (/.f32 1 (log.f32 alpha)) (/.f32 -1/2 (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)) -1)
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(*.f32 (/.f32 (/.f32 -1/4 (log.f32 alpha)) (PI.f32)) 2)
(+.f32 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))) (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(.f32 2 (/.f32 -1/4 (.f32 (PI.f32) (log.f32 alpha))))
(pow.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) 1)
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(neg.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(neg.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2))))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(neg.f32 (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(neg.f32 (/.f32 (/.f32 1 (PI.f32)) (*.f32 (log.f32 alpha) 2)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))
(neg.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 -1/2 (*.f32 (PI.f32) (log.f32 alpha)))

localize165.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.3b	(/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 2 (*.f32 (log.f32 alpha) (PI.f32))))
	0.4b	(*.f32 (log.f32 alpha) (PI.f32))

Compiler

Compiled 91 to 43 computations (52.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

alpha

-inf

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

1.0ms

alpha

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

0.0ms

alpha

inf

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational.json-1`
1164×	`rational.json-2`
1164×	`rational.json-3`
1154×	`rational.json-4`
1152×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	99	37
2	249	37
3	781	37
4	3243	37

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (*.f32 (log.f32 alpha) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) -1/2) (*.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/4 (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (PI.f32)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (log.f32 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2) (/.f32 1/4 (*.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2) (*.f32 1/2 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (/.f32 1 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 alpha)) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (log.f32 alpha))) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))) (/.f32 1 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 -1 (*.f32 (log.f32 alpha) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) -1/2) (/.f32 -1 (*.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 2 (/.f32 (log.f32 alpha) (+.f32 (*.f32 alpha alpha) -1))) (PI.f32)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) (/.f32 1/2 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 alpha)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (PI.f32)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (/.f32 2 (/.f32 (log.f32 alpha) (+.f32 (*.f32 alpha alpha) -1))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/4 (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))) (*.f32 1/2 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (*.f32 (log.f32 alpha) (*.f32 2 (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) -1/2) (*.f32 (log.f32 alpha) (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) 8))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 (log.f32 alpha) (*.f32 2 (PI.f32)))) (-.f32 1 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1/4 (*.f32 (log.f32 alpha) (PI.f32))) (/.f32 1/4 (*.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (*.f32 (log.f32 alpha) (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) -1/2) (*.f32 (log.f32 alpha) (PI.f32))))))))

simplify148.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-35`
962×	`rational.json-simplify-41`
924×	`rational.json-simplify-43`
824×	`rational.json-simplify-44`
714×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	2700
1	306	2638
2	675	2638
3	1637	2638
4	5122	2638

Stop Event

1×	node limit

Counts

62 → 82

Calls

Call 1

Inputs
(/.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 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 0)
(+.f32 0 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))))
(-.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 0)
(.f32 -1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 2 (PI.f32)))))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) -1/2) (.f32 (log.f32 alpha) (PI.f32))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)))
(.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 4))))
(.f32 2 (/.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 2))
(.f32 2 (.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2)))
(.f32 2 (.f32 (/.f32 1/4 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 (.f32 alpha alpha) -1)))
(.f32 2 (.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1/2 (log.f32 alpha)))))
(.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 1)
(.f32 1 (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))))
(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (/.f32 1/4 (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (*.f32 1/2 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2) (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (log.f32 alpha) (*.f32 (PI.f32) 8))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))) 1/2)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 alpha)) (/.f32 1/2 (PI.f32)))
(.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (log.f32 alpha))) (/.f32 1 (PI.f32)))
(.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))) (/.f32 1 (log.f32 alpha)))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha)) (+.f32 (.f32 alpha alpha) -1))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (log.f32 alpha) (.f32 2 (PI.f32)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) -1/2) (/.f32 -1 (.f32 (log.f32 alpha) (PI.f32))))
(.f32 (/.f32 (/.f32 2 (/.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1))) (PI.f32)) 1/4)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1/2 (log.f32 alpha)))
(.f32 (/.f32 1 (log.f32 alpha)) (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))))
(.f32 (/.f32 1 (PI.f32)) (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (log.f32 alpha))))
(.f32 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2))
(.f32 (/.f32 1/2 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 alpha)))
(.f32 1/4 (/.f32 (/.f32 2 (/.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1))) (PI.f32)))
(.f32 (/.f32 1/4 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 (.f32 2 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2))
(.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 alpha alpha) -1))
(.f32 (.f32 1/2 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 (.f32 2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2)))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 2 (PI.f32)))) -1)
(.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) -1/2) (.f32 (log.f32 alpha) (PI.f32))) -1)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 alpha) (.f32 (PI.f32) 4))) 2)
(.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)))
(.f32 (/.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 2) 2)
(.f32 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (PI.f32) 8))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 4))
(.f32 (/.f32 -1 (.f32 (log.f32 alpha) (.f32 2 (PI.f32)))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (/.f32 -1 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (+.f32 (.f32 alpha alpha) -1) -1/2))
(.f32 (+.f32 (/.f32 1/4 (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1/4 (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 alpha alpha) -1))
(pow.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 alpha))) 1)
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (log.f32 alpha) (*.f32 2 (PI.f32)))))
(neg.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) -1/2) (*.f32 (log.f32 alpha) (PI.f32))))

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

localize305.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.2b	(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
✓	0.3b	(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
	0.4b	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Compiler

Compiled 100 to 42 computations (58% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
0.0ms	alpha	@	0	(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
0.0ms	alpha	@	0	(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
0.0ms	alpha	@	inf	(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
0.0ms	alpha	@	-inf	(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))

rewrite156.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational.json-simplify-35`
980×	`rational.json-1`
980×	`rational.json-2`
980×	`rational.json-3`
972×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	104	62
2	228	62
3	611	62
4	2402	62
5	7656	62

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

simplify418.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

904×	`rational.json-simplify-50`
856×	`rational.json-simplify-41`
848×	`rational.json-simplify-53`
840×	`rational.json-simplify-35`
712×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	4904
1	869	4886
2	2552	4854
3	4340	4854
4	6463	4854
5	7913	4854

Stop Event

1×	node limit

Counts

132 → 136

Calls

Call 1

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

Outputs
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (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 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32)))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
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(+.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 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
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(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha))) (PI.f32)))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
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(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 4)) (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 4))) 16)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32))) (.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)))) (.f32 (log.f32 (.f32 alpha alpha)) 4))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (*.f32 (PI.f32) 4))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 2 (-.f32 1 (.f32 alpha alpha))) (.f32 2 (-.f32 1 (.f32 alpha alpha)))) (.f32 2 (.f32 2 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 2)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 2))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) 2)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) 2))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32))) (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)))) (.f32 2 (neg.f32 (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (*.f32 2 (neg.f32 (PI.f32))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (neg.f32 (-.f32 1 (.f32 alpha alpha))) (neg.f32 (-.f32 1 (.f32 alpha alpha)))) (.f32 (PI.f32) (.f32 (log.f32 (*.f32 alpha alpha)) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4)) (neg.f32 (.f32 (log.f32 (.f32 alpha alpha)) (*.f32 (PI.f32) 4))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) 1/2))) (neg.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (log.f32 (.f32 alpha alpha)))) (neg.f32 (.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2))) (.f32 (PI.f32) (.f32 (log.f32 (*.f32 alpha alpha)) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2))) (-.f32 0 (neg.f32 (.f32 (PI.f32) (.f32 (log.f32 (*.f32 alpha alpha)) 2)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)))) (neg.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (neg.f32 (.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 2 (-.f32 1 (.f32 alpha alpha)))) (-.f32 0 (.f32 2 (neg.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 2))) (-.f32 0 (.f32 (PI.f32) 1/2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) 2))) (-.f32 0 (log.f32 (sqrt.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)))) (log.f32 (.f32 alpha alpha)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (PI.f32))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (-.f32 1 (.f32 alpha alpha)))) (neg.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 0)
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(+.f32 0 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(-.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 0)
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 1 (/.f32 1 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 -1 (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (.f32 alpha alpha))))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 2 (/.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 2))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 1 (log.f32 (.f32 alpha alpha))))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2) 1/2)
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 (.f32 2 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) 2)))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 1 (PI.f32)))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 1/2 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 -1 (PI.f32)) (/.f32 -1 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 -1 (PI.f32)))
(.f32 (/.f32 -1 (PI.f32)) (/.f32 -1 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (.f32 alpha alpha))) -1)
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) 2)) (.f32 2 (/.f32 1 (PI.f32))))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 2) 2)
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(pow.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1)
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
(neg.f32 (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))

localize126.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.2b	(/.f32 2 (log.f32 (*.f32 alpha alpha)))
✓	0.3b	(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha))))
✓	0.5b	(.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))))

Compiler

Compiled 113 to 56 computations (50.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha))))
0.0ms	alpha	@	inf	(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha))))
0.0ms	alpha	@	inf	(/.f32 2 (log.f32 (*.f32 alpha alpha)))
0.0ms	alpha	@	0	(/.f32 2 (log.f32 (*.f32 alpha alpha)))
0.0ms	alpha	@	0	(.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2008×	`rational.json-1`
2008×	`rational.json-2`
2008×	`rational.json-3`
1258×	`rational.json-simplify-35`
838×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	101
1	113	101
2	248	101
3	616	101
4	2041	87
5	6548	87

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

Inputs

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

(*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha))))

(/.f32 2 (log.f32 (*.f32 alpha alpha)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 (PI.f32) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1/2 (PI.f32)) (/.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1/2 (PI.f32)) (/.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1/2 (PI.f32)) (/.f32 (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)) (+.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (neg.f32 (log.f32 (*.f32 alpha alpha))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (+.f32 (/.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)) (/.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (+.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (+.f32 (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)) (+.f32 (*.f32 alpha alpha) -1)) (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)) (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 4 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (log.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (*.f32 4 (log.f32 (sqrt.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4)) (+.f32 (*.f32 4 (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) (*.f32 4 (log.f32 (sqrt.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 alpha alpha)) (neg.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4)) (*.f32 2 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (*.f32 alpha alpha))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (-.f32 1 (*.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha))) (+.f32 (neg.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) (neg.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2)) (neg.f32 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (*.f32 alpha alpha))) (log.f32 (sqrt.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 2 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (/.f32 2 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 2 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 2 (log.f32 (*.f32 alpha alpha)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 1)))))

simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational.json-simplify-53`
972×	`rational.json-simplify-50`
846×	`rational.json-simplify-35`
842×	`rational.json-simplify-41`
672×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	4916
1	810	4876
2	2541	4876
3	4233	4864
4	6411	4864

Stop Event

1×	node limit

Counts

138 → 156

Calls

Call 1

Inputs
(/.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 (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 (log.f32 alpha))
(-.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (/.f32 1 (log.f32 alpha)))
(-.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (/.f32 1 (log.f32 alpha)))
(-.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (/.f32 1 (log.f32 alpha)))
(*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))))
(+.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(+.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(+.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha))))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))) (/.f32 1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))) (/.f32 1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))) (/.f32 1 (log.f32 (/.f32 -1 alpha))))
(/.f32 1 (log.f32 alpha))
(/.f32 1 (log.f32 alpha))
(/.f32 1 (log.f32 alpha))
(/.f32 1 (log.f32 alpha))
(/.f32 -1 (log.f32 (/.f32 1 alpha)))
(/.f32 -1 (log.f32 (/.f32 1 alpha)))
(/.f32 -1 (log.f32 (/.f32 1 alpha)))
(/.f32 -1 (log.f32 (/.f32 1 alpha)))
(/.f32 -1 (log.f32 (/.f32 -1 alpha)))
(/.f32 -1 (log.f32 (/.f32 -1 alpha)))
(/.f32 -1 (log.f32 (/.f32 -1 alpha)))
(/.f32 -1 (log.f32 (/.f32 -1 alpha)))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 0)
(/.f32 1/2 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))))
(/.f32 (/.f32 1/2 (PI.f32)) (/.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 (/.f32 1/2 (PI.f32)) (/.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 2))
(/.f32 (/.f32 1/2 (PI.f32)) (/.f32 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1)) 4))
(/.f32 -1 (-.f32 0 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (.f32 (PI.f32) 2) (/.f32 2 (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))) (/.f32 1/2 (PI.f32))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 2)) 2))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (/.f32 1/2 (PI.f32))) 2))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 (.f32 (PI.f32) 4) (/.f32 2 (log.f32 (*.f32 alpha alpha)))) 2))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 4)) 4))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (/.f32 1/2 (PI.f32))) 4))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (.f32 (.f32 (PI.f32) 4) (log.f32 (pow.f32 (.f32 alpha alpha) 2))) 8))
(/.f32 2 (.f32 2 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))
(/.f32 2 (/.f32 (.f32 (PI.f32) 2) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (.f32 (PI.f32) 2) (+.f32 (*.f32 alpha alpha) -1)))
(/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (/.f32 (.f32 (PI.f32) 4) (+.f32 (*.f32 alpha alpha) -1)) 2))
(/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) 1/2))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (*.f32 (PI.f32) 2))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (/.f32 (neg.f32 (PI.f32)) -1/2))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 1)
(/.f32 1 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))
(/.f32 1 (+.f32 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))) (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))))
(/.f32 4 (/.f32 (.f32 (PI.f32) 4) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))))
(/.f32 4 (+.f32 (.f32 2 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (.f32 2 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))))
(/.f32 4 (+.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (/.f32 (.f32 (PI.f32) 2) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))))
(/.f32 8 (+.f32 (/.f32 (.f32 (PI.f32) 4) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (/.f32 (.f32 (PI.f32) 4) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))))
(/.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (.f32 (PI.f32) 4))
(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (PI.f32)) 2)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (+.f32 (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(/.f32 (.f32 (/.f32 1/2 (PI.f32)) (+.f32 (.f32 alpha alpha) -1)) (log.f32 (sqrt.f32 (*.f32 alpha alpha))))
(/.f32 (.f32 (/.f32 1/2 (PI.f32)) (+.f32 (.f32 alpha alpha) -1)) (/.f32 (neg.f32 (log.f32 (*.f32 alpha alpha))) -2))
(/.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4) (.f32 (*.f32 (PI.f32) 2) 4))
(/.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) 4) 4)
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32))
(/.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))) (neg.f32 (*.f32 (PI.f32) 2)))
(/.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4)) (.f32 2 (.f32 (*.f32 (PI.f32) 2) 4)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (/.f32 1/2 (PI.f32)) 2)) (log.f32 (.f32 alpha alpha)))
(/.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 4)) 8)
(/.f32 (.f32 2 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))) (.f32 2 (neg.f32 (*.f32 (PI.f32) 2))))
(/.f32 (/.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))) (PI.f32)) 4)
(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (*.f32 (PI.f32) 2)) 1/2)
(/.f32 (neg.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (neg.f32 (.f32 (PI.f32) 4)))
(/.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))) (*.f32 (PI.f32) 2))
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))) (-.f32 0 (neg.f32 (*.f32 (PI.f32) 2))))
(/.f32 (+.f32 (/.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (PI.f32)) (/.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (PI.f32))) 8)
(/.f32 (+.f32 (neg.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (neg.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))) (+.f32 (neg.f32 (.f32 (PI.f32) 4)) (neg.f32 (.f32 (PI.f32) 4))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) 4)) (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))) (.f32 2 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))))) (+.f32 (.f32 2 (neg.f32 (.f32 (PI.f32) 2))) (.f32 2 (neg.f32 (.f32 (PI.f32) 2)))))
(/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) 2)) (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) 2))) 1)
(/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (*.f32 2 (neg.f32 (PI.f32))))
(/.f32 (+.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))) (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))))) (*.f32 (PI.f32) 4))
(/.f32 (neg.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4)) (-.f32 0 (.f32 (*.f32 (PI.f32) 2) 4)))
(/.f32 (neg.f32 (neg.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))) (.f32 (PI.f32) 4))
(/.f32 (neg.f32 (.f32 (/.f32 1/2 (PI.f32)) (+.f32 (.f32 alpha alpha) -1))) (neg.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (PI.f32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))))) (neg.f32 (*.f32 (PI.f32) 2)))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 1)
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 0)
(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (neg.f32 (log.f32 (.f32 alpha alpha))) -2))
(/.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 2 (+.f32 (/.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)) (/.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 1)
(/.f32 1 (/.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 4 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 4 (+.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 8 (+.f32 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1)) (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))) 2)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (log.f32 (*.f32 alpha alpha)))
(/.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4) 4)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (.f32 4 (log.f32 (sqrt.f32 (.f32 alpha alpha)))))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 1/2)
(/.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4)) 8)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) 4)) (+.f32 (.f32 4 (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (.f32 4 (log.f32 (sqrt.f32 (*.f32 alpha alpha))))))
(/.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4)
(/.f32 (-.f32 1 (.f32 alpha alpha)) (neg.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4)) (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4))) 16)
(/.f32 (+.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (.f32 alpha alpha))))) 8)
(/.f32 (+.f32 (-.f32 1 (.f32 alpha alpha)) (-.f32 1 (.f32 alpha alpha))) (+.f32 (neg.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (neg.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2)) (neg.f32 (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (-.f32 1 (.f32 alpha alpha))) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 1)
(+.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 0)
(+.f32 0 (/.f32 2 (log.f32 (*.f32 alpha alpha))))
(-.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 0)
(.f32 1/2 (.f32 2 (/.f32 2 (log.f32 (*.f32 alpha alpha)))))
(.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) 1)
(.f32 1 (/.f32 2 (log.f32 (.f32 alpha alpha))))
(.f32 (.f32 2 (/.f32 2 (log.f32 (*.f32 alpha alpha)))) 1/2)
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 2)
(pow.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 1)

Outputs
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 (/.f32 -1/2 (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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (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 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (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 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (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 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (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 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (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 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 -1 alpha))) (PI.f32))))
(/.f32 -1 (log.f32 alpha))
(-.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (/.f32 1 (log.f32 alpha)))
(-.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (/.f32 1 (log.f32 alpha)))
(-.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (/.f32 1 (log.f32 alpha)))
(*.f32 -1 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))))
(neg.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))))
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(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))) (-.f32 0 (neg.f32 (*.f32 (PI.f32) 2))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (/.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (PI.f32)) (/.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (PI.f32))) 8)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (neg.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (neg.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))) (+.f32 (neg.f32 (.f32 (PI.f32) 4)) (neg.f32 (.f32 (PI.f32) 4))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) 4)) (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) 4))) 16)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 2 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))) (.f32 2 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))))) (+.f32 (.f32 2 (neg.f32 (.f32 (PI.f32) 2))) (.f32 2 (neg.f32 (.f32 (PI.f32) 2)))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) 2)) (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) 2))) 1)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))) (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (*.f32 2 (neg.f32 (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))) (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))))) (*.f32 (PI.f32) 4))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4)) (-.f32 0 (.f32 (*.f32 (PI.f32) 2) 4)))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))) (.f32 (PI.f32) 4))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 (/.f32 1/2 (PI.f32)) (+.f32 (.f32 alpha alpha) -1))) (neg.f32 (log.f32 (sqrt.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (PI.f32))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))))) (neg.f32 (*.f32 (PI.f32) 2)))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 1)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 0)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 0)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (neg.f32 (log.f32 (.f32 alpha alpha))) -2))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 2 (+.f32 (/.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)) (/.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 1)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 1 (/.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 4 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) 4))
(/.f32 4 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) 4))
(/.f32 4 (+.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 8 (+.f32 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1)) (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) 4))
(/.f32 4 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) 4))
(/.f32 (.f32 4 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))) 2)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (log.f32 (*.f32 alpha alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4) 4)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))
(/.f32 (.f32 (-.f32 (.f32 alpha alpha) 1) 4) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))
(/.f32 (.f32 (+.f32 -1 (.f32 alpha alpha)) 4) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 4 (log.f32 (pow.f32 (*.f32 alpha alpha) 2))))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (.f32 4 (log.f32 (sqrt.f32 (.f32 alpha alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 1/2)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4)) 8)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 alpha alpha) -1) 4)) (+.f32 (.f32 4 (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (.f32 4 (log.f32 (sqrt.f32 (*.f32 alpha alpha))))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (*.f32 alpha alpha)))) 4)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (-.f32 1 (.f32 alpha alpha)) (neg.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4)) (.f32 2 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 4))) 16)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (sqrt.f32 (.f32 alpha alpha))))) 8)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 (-.f32 1 (.f32 alpha alpha)) (-.f32 1 (.f32 alpha alpha))) (+.f32 (neg.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha)))) (neg.f32 (log.f32 (sqrt.f32 (.f32 alpha alpha))))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2)) (neg.f32 (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (neg.f32 (-.f32 1 (.f32 alpha alpha))) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (sqrt.f32 (.f32 alpha alpha)))) 1)
(/.f32 (-.f32 (.f32 alpha alpha) 1) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (.f32 alpha alpha))))
(+.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 0)
(/.f32 2 (log.f32 (*.f32 alpha alpha)))
(+.f32 0 (/.f32 2 (log.f32 (*.f32 alpha alpha))))
(/.f32 2 (log.f32 (*.f32 alpha alpha)))
(-.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 0)
(/.f32 2 (log.f32 (*.f32 alpha alpha)))
(.f32 1/2 (.f32 2 (/.f32 2 (log.f32 (*.f32 alpha alpha)))))
(/.f32 2 (log.f32 (*.f32 alpha alpha)))
(.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) 1)
(/.f32 2 (log.f32 (*.f32 alpha alpha)))
(.f32 1 (/.f32 2 (log.f32 (.f32 alpha alpha))))
(/.f32 2 (log.f32 (*.f32 alpha alpha)))
(.f32 (.f32 2 (/.f32 2 (log.f32 (*.f32 alpha alpha)))) 1/2)
(/.f32 2 (log.f32 (*.f32 alpha alpha)))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 2)
(.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha))))
(pow.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 1)
(/.f32 2 (log.f32 (*.f32 alpha alpha)))

eval669.0ms (4.2%)

Compiler: Compiled 22837 to 12502 computations (45.3% saved)

prune305.0ms (1.9%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	778	22	800
Fresh	4	4	8
Picked	1	0	1
Done	4	0	4
Total	787	26	813

Error

0.0b

Counts

813 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (/.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1 (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
▶	0.5b	(/.f32 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	10.9b	(/.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	10.9b	(/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (.f32 (PI.f32) 2) (/.f32 2 (log.f32 (.f32 alpha alpha))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
▶	0.5b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (/.f32 alpha (.f32 alpha (neg.f32 alpha))))) (PI.f32)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.5b	(/.f32 (/.f32 1 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (/.f32 1 (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	10.9b	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))
▶	10.9b	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	10.9b	(/.f32 (/.f32 -1/2 (log.f32 (pow.f32 alpha (PI.f32)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	11.6b	(/.f32 (+.f32 -1 (-.f32 1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 (/.f32 2 (/.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1))) (PI.f32)) 1/4) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1/2 (log.f32 alpha))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
▶	0.7b	(/.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 1 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha))))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.6b	(/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))

Compiler

Compiled 1314 to 898 computations (31.7% saved)

localize114.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.3b	(/.f32 alpha (*.f32 alpha (neg.f32 alpha)))
✓	0.3b	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (/.f32 alpha (*.f32 alpha (neg.f32 alpha))))) (PI.f32))))
✓	3.1b	(pow.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (/.f32 alpha (.f32 alpha (neg.f32 alpha))))) (PI.f32))

Compiler

Compiled 162 to 41 computations (74.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(/.f32 alpha (*.f32 alpha (neg.f32 alpha)))
0.0ms	alpha	@	0	(pow.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (/.f32 alpha (.f32 alpha (neg.f32 alpha))))) (PI.f32))
0.0ms	alpha	@	inf	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (/.f32 alpha (*.f32 alpha (neg.f32 alpha))))) (PI.f32))))
0.0ms	alpha	@	inf	(pow.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (/.f32 alpha (.f32 alpha (neg.f32 alpha))))) (PI.f32))
0.0ms	alpha	@	-inf	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 (.f32 alpha (neg.f32 alpha)) (.f32 alpha (/.f32 alpha (*.f32 alpha (neg.f32 alpha))))) (PI.f32))))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-3`
1376×	`exponential.json-3`
1376×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	133
1	127	133
2	356	59
3	1204	59
4	4002	59

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs

(pow.f32 (*.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 alpha (/.f32 alpha (*.f32 alpha (neg.f32 alpha))))) (PI.f32))

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

(/.f32 alpha (*.f32 alpha (neg.f32 alpha)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 0)))) (#(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 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) (pow.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 -1 (PI.f32)) (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2) 1/2)))) (#(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 (/.f32 -1 alpha) (PI.f32)) (pow.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2) (/.f32 (pow.f32 -1 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 -1 (PI.f32)) 2) (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (neg.f32 alpha) (*.f32 alpha alpha)) (PI.f32)) (pow.f32 (/.f32 -1 alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2) (*.f32 (pow.f32 -1 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 -1 (PI.f32)) 2) (*.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (pow.f32 (*.f32 alpha alpha) (PI.f32))) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (neg.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 (/.f32 1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (*.f32 2 (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (/.f32 1 (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 1 (neg.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (neg.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (*.f32 2 (log.f32 (*.f32 alpha alpha))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) 4)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (neg.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (-.f32 1 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (neg.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 1 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -1 alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 alpha (/.f32 (/.f32 -1 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 alpha) (/.f32 1 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 (/.f32 -1 alpha) (/.f32 (/.f32 -1 alpha) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha (neg.f32 alpha)) (/.f32 (/.f32 -1 alpha) (*.f32 alpha (neg.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha alpha) (/.f32 (/.f32 -1 alpha) (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 alpha alpha) (/.f32 1/2 (*.f32 alpha (neg.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 alpha alpha) (*.f32 (/.f32 (/.f32 -1 alpha) alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 -1 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 alpha (*.f32 alpha (*.f32 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (neg.f32 alpha) (*.f32 (*.f32 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 alpha (*.f32 (*.f32 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha -2) (/.f32 1 (*.f32 (*.f32 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 alpha 4) (/.f32 1 (*.f32 alpha (*.f32 (neg.f32 alpha) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 alpha) (/.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -1 alpha) alpha) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 alpha) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 alpha) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (/.f32 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 alpha alpha)) (neg.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 alpha (neg.f32 alpha))) (+.f32 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 alpha (neg.f32 alpha)) (*.f32 alpha alpha)) (/.f32 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 -1 alpha) alpha) 1/2) (+.f32 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 -1 alpha) (/.f32 (/.f32 -1 alpha) alpha)) (*.f32 alpha (neg.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -1 alpha) (*.f32 alpha (neg.f32 alpha))) (*.f32 alpha (neg.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -1 alpha) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -1 alpha) (*.f32 alpha alpha)) (*.f32 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 alpha (*.f32 alpha (*.f32 alpha -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 alpha (*.f32 (*.f32 alpha alpha) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (neg.f32 alpha) (*.f32 (*.f32 alpha alpha) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (*.f32 alpha alpha) 2)) (*.f32 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 alpha (*.f32 (neg.f32 alpha) 4))) (*.f32 alpha 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 1 alpha))))))

simplify101.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1222×	`rational.json-simplify-40`
988×	`rational.json-simplify-38`
898×	`rational.json-simplify-43`
804×	`rational.json-simplify-44`
798×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	3245
1	460	3195
2	1197	3147
3	5157	3143

Stop Event

1×	node limit

Counts

131 → 159

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 (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))))
(/.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 (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 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(+.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 0)
(+.f32 0 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(-.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 0)
(.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 1)
(.f32 1 (pow.f32 (.f32 alpha alpha) (PI.f32)))
(.f32 (pow.f32 (.f32 alpha (neg.f32 alpha)) (PI.f32)) (pow.f32 -1 (PI.f32)))
(.f32 (pow.f32 -1 (PI.f32)) (pow.f32 (.f32 alpha (neg.f32 alpha)) (PI.f32)))
(.f32 2 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2))
(.f32 (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2) 1/2)
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32)) (pow.f32 (.f32 (neg.f32 alpha) (*.f32 alpha alpha)) (PI.f32)))
(*.f32 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))
(.f32 (.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2) (/.f32 (pow.f32 -1 (PI.f32)) 2))
(.f32 (.f32 (pow.f32 -1 (PI.f32)) 2) (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2))
(.f32 1/2 (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2))
(.f32 (pow.f32 (.f32 (neg.f32 alpha) (*.f32 alpha alpha)) (PI.f32)) (pow.f32 (/.f32 -1 alpha) (PI.f32)))
(.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2) 2)
(.f32 (/.f32 (pow.f32 (.f32 alpha (neg.f32 alpha)) (PI.f32)) 2) (*.f32 (pow.f32 -1 (PI.f32)) 2))
(.f32 (/.f32 (pow.f32 -1 (PI.f32)) 2) (.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2))
(*.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(/.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 1)
(/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2) 2)
(/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4) 4)
(/.f32 (.f32 2 (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 4)) 8)
(/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (.f32 alpha alpha) (PI.f32)))
(fabs.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(.f32 -1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1)
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1/2))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 2 (log.f32 (*.f32 alpha alpha))))))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) 1/2)
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(.f32 1/2 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1/2) (.f32 (+.f32 (.f32 alpha alpha) -1) 2))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) -1)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 2 (log.f32 (*.f32 alpha alpha))))) 2)
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2) 2)
(.f32 (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) (-.f32 1 (.f32 alpha alpha)))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (neg.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(+.f32 (/.f32 -1 alpha) 0)
(+.f32 -1 (-.f32 1 (/.f32 1 alpha)))
(+.f32 0 (/.f32 -1 alpha))
(+.f32 (-.f32 1 (/.f32 1 alpha)) -1)
(-.f32 (/.f32 -1 alpha) 0)
(-.f32 0 (/.f32 1 alpha))
(*.f32 alpha (/.f32 (/.f32 -1 alpha) alpha))
(.f32 (neg.f32 alpha) (/.f32 1 (.f32 alpha alpha)))
(.f32 (.f32 alpha (neg.f32 alpha)) (*.f32 (/.f32 -1 alpha) (/.f32 (/.f32 -1 alpha) alpha)))
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (/.f32 -1 alpha) (*.f32 alpha (neg.f32 alpha))))
(*.f32 (/.f32 -1 alpha) 1)
(.f32 (.f32 alpha alpha) (/.f32 (/.f32 -1 alpha) (*.f32 alpha alpha)))
(*.f32 -1 (/.f32 1 alpha))
(*.f32 1 (/.f32 -1 alpha))
(.f32 (+.f32 alpha alpha) (/.f32 1/2 (.f32 alpha (neg.f32 alpha))))
(.f32 (+.f32 alpha alpha) (.f32 (/.f32 (/.f32 -1 alpha) alpha) 1/2))
(*.f32 2 (/.f32 (/.f32 -1 alpha) 2))
(.f32 2 (/.f32 alpha (.f32 alpha (*.f32 alpha -2))))
(.f32 2 (/.f32 (neg.f32 alpha) (.f32 (*.f32 alpha alpha) 2)))
(.f32 -2 (/.f32 alpha (.f32 (*.f32 alpha alpha) 2)))
(.f32 (.f32 alpha -2) (/.f32 1 (.f32 (.f32 alpha alpha) 2)))
(.f32 (.f32 alpha 4) (/.f32 1 (.f32 alpha (.f32 (neg.f32 alpha) 4))))
(*.f32 (/.f32 1 alpha) -1)
(.f32 (/.f32 1 alpha) (/.f32 (.f32 alpha (neg.f32 alpha)) (*.f32 alpha alpha)))
(*.f32 (/.f32 (/.f32 -1 alpha) alpha) alpha)
(*.f32 (/.f32 -2 alpha) 1/2)
(*.f32 (/.f32 2 alpha) -1/2)
(*.f32 1/2 (/.f32 -2 alpha))
(*.f32 -1/2 (/.f32 2 alpha))
(.f32 (/.f32 1 (.f32 alpha alpha)) (neg.f32 alpha))
(.f32 (/.f32 1/2 (.f32 alpha (neg.f32 alpha))) (+.f32 alpha alpha))
(.f32 (/.f32 (.f32 alpha (neg.f32 alpha)) (*.f32 alpha alpha)) (/.f32 1 alpha))
(.f32 (.f32 (/.f32 (/.f32 -1 alpha) alpha) 1/2) (+.f32 alpha alpha))
(.f32 (.f32 (/.f32 -1 alpha) (/.f32 (/.f32 -1 alpha) alpha)) (*.f32 alpha (neg.f32 alpha)))
(.f32 (/.f32 (/.f32 -1 alpha) (.f32 alpha (neg.f32 alpha))) (*.f32 alpha (neg.f32 alpha)))
(*.f32 (/.f32 (/.f32 -1 alpha) 2) 2)
(.f32 (/.f32 (/.f32 -1 alpha) (.f32 alpha alpha)) (*.f32 alpha alpha))
(.f32 (/.f32 alpha (.f32 alpha (*.f32 alpha -2))) 2)
(.f32 (/.f32 alpha (.f32 (*.f32 alpha alpha) 2)) -2)
(.f32 (/.f32 (neg.f32 alpha) (.f32 (*.f32 alpha alpha) 2)) 2)
(.f32 (/.f32 1 (.f32 (.f32 alpha alpha) 2)) (.f32 alpha -2))
(.f32 (/.f32 1 (.f32 alpha (.f32 (neg.f32 alpha) 4))) (.f32 alpha 4))
(pow.f32 (/.f32 -1 alpha) 1)
(neg.f32 (/.f32 1 alpha))

Outputs
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) 2)))
(exp.f32 (.f32 (log.f32 alpha) (.f32 2 (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) 2)))
(exp.f32 (.f32 (log.f32 alpha) (.f32 2 (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) 2)))
(exp.f32 (.f32 (log.f32 alpha) (.f32 2 (PI.f32))))
(exp.f32 (.f32 2 (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) 2)))
(exp.f32 (.f32 (log.f32 alpha) (.f32 2 (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2)))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2)))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2)))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 -2 (log.f32 (/.f32 1 alpha)))))
(exp.f32 (.f32 (log.f32 (/.f32 1 alpha)) (.f32 (PI.f32) -2)))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2)))
(exp.f32 (*.f32 -2 (log.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2)))
(exp.f32 (*.f32 -2 (log.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2)))
(exp.f32 (*.f32 -2 (log.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32)))))
(exp.f32 (.f32 -2 (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(exp.f32 (.f32 -2 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(exp.f32 (.f32 (PI.f32) (.f32 (log.f32 (/.f32 -1 alpha)) -2)))
(exp.f32 (*.f32 -2 (log.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32)))))
(/.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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (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 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (PI.f32) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (PI.f32) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha))))
(*.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (pow.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 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 1 (*.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32))))) (.f32 1/2 (/.f32 1 (log.f32 (pow.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 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 1 (*.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32))))) (.f32 1/2 (/.f32 1 (log.f32 (pow.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 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 1 (*.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32))))) (.f32 1/2 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32))))))
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(/.f32 -1 alpha)
(+.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 0)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(+.f32 0 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(-.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 0)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 1)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 1 (pow.f32 (.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 (pow.f32 (.f32 alpha (neg.f32 alpha)) (PI.f32)) (pow.f32 -1 (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 (pow.f32 -1 (PI.f32)) (pow.f32 (.f32 alpha (neg.f32 alpha)) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 2 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2) 1/2)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 (pow.f32 (/.f32 -1 alpha) (PI.f32)) (pow.f32 (.f32 (neg.f32 alpha) (*.f32 alpha alpha)) (PI.f32)))
(pow.f32 (.f32 (.f32 alpha (*.f32 alpha (neg.f32 alpha))) (/.f32 -1 alpha)) (PI.f32))
(pow.f32 (.f32 (/.f32 -1 alpha) (.f32 (*.f32 alpha alpha) (neg.f32 alpha))) (PI.f32))
(pow.f32 (.f32 alpha (.f32 alpha (/.f32 (neg.f32 alpha) (neg.f32 alpha)))) (PI.f32))
(pow.f32 (.f32 alpha (.f32 (/.f32 1 alpha) (*.f32 alpha alpha))) (PI.f32))
(*.f32 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 (.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2) (/.f32 (pow.f32 -1 (PI.f32)) 2))
(.f32 (.f32 2 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32))) (/.f32 (pow.f32 -1 (PI.f32)) 2))
(.f32 2 (.f32 (/.f32 (pow.f32 -1 (PI.f32)) 2) (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32))))
(.f32 2 (.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) (/.f32 (pow.f32 -1 (PI.f32)) 2)))
(.f32 (.f32 (pow.f32 -1 (PI.f32)) 2) (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2))
(.f32 (.f32 2 (pow.f32 -1 (PI.f32))) (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2))
(.f32 2 (.f32 (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2) (pow.f32 -1 (PI.f32))))
(.f32 (pow.f32 -1 (PI.f32)) (.f32 2 (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2)))
(.f32 2 (.f32 (pow.f32 -1 (PI.f32)) (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2)))
(.f32 1/2 (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 2))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 (pow.f32 (.f32 (neg.f32 alpha) (*.f32 alpha alpha)) (PI.f32)) (pow.f32 (/.f32 -1 alpha) (PI.f32)))
(pow.f32 (.f32 (.f32 alpha (*.f32 alpha (neg.f32 alpha))) (/.f32 -1 alpha)) (PI.f32))
(pow.f32 (.f32 (/.f32 -1 alpha) (.f32 (*.f32 alpha alpha) (neg.f32 alpha))) (PI.f32))
(pow.f32 (.f32 alpha (.f32 alpha (/.f32 (neg.f32 alpha) (neg.f32 alpha)))) (PI.f32))
(pow.f32 (.f32 alpha (.f32 (/.f32 1 alpha) (*.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2) 2)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(.f32 (/.f32 (pow.f32 (.f32 alpha (neg.f32 alpha)) (PI.f32)) 2) (*.f32 (pow.f32 -1 (PI.f32)) 2))
(.f32 (.f32 2 (pow.f32 -1 (PI.f32))) (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2))
(.f32 2 (.f32 (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2) (pow.f32 -1 (PI.f32))))
(.f32 (pow.f32 -1 (PI.f32)) (.f32 2 (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2)))
(.f32 2 (.f32 (pow.f32 -1 (PI.f32)) (/.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2)))
(.f32 (/.f32 (pow.f32 -1 (PI.f32)) 2) (.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) 2))
(.f32 (.f32 2 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32))) (/.f32 (pow.f32 -1 (PI.f32)) 2))
(.f32 2 (.f32 (/.f32 (pow.f32 -1 (PI.f32)) 2) (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32))))
(.f32 2 (.f32 (pow.f32 (*.f32 alpha (neg.f32 alpha)) (PI.f32)) (/.f32 (pow.f32 -1 (PI.f32)) 2)))
(*.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(/.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 1)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 2) 2)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) 4) 4)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(/.f32 (.f32 2 (.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) 4)) 8)
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(/.f32 (.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (pow.f32 (.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(fabs.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 -1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 2 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha)))))
(.f32 (.f32 2 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1/2))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 2 (log.f32 (*.f32 alpha alpha))))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) 1/2)
(.f32 1/2 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)))
(.f32 (.f32 4 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1 (.f32 4 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 4 (.f32 (/.f32 1/4 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 -1 (*.f32 alpha alpha))))
(.f32 4 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/4 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 2 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha)))))
(.f32 (.f32 2 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 1/2 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 1/2 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1/2) (.f32 (+.f32 (.f32 alpha alpha) -1) 2))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) -1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (.f32 2 (log.f32 (*.f32 alpha alpha))))) 2)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2) 2)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) 4)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (.f32 4 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1 (.f32 4 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 4 (.f32 (/.f32 1/4 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 -1 (*.f32 alpha alpha))))
(.f32 4 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/4 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (neg.f32 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 (/.f32 -1 alpha) 0)
(/.f32 -1 alpha)
(+.f32 -1 (-.f32 1 (/.f32 1 alpha)))
(/.f32 -1 alpha)
(+.f32 0 (/.f32 -1 alpha))
(/.f32 -1 alpha)
(+.f32 (-.f32 1 (/.f32 1 alpha)) -1)
(/.f32 -1 alpha)
(-.f32 (/.f32 -1 alpha) 0)
(/.f32 -1 alpha)
(-.f32 0 (/.f32 1 alpha))
(/.f32 -1 alpha)
(*.f32 alpha (/.f32 (/.f32 -1 alpha) alpha))
(/.f32 -1 alpha)
(.f32 (neg.f32 alpha) (/.f32 1 (.f32 alpha alpha)))
(/.f32 -1 alpha)
(.f32 (.f32 alpha (neg.f32 alpha)) (*.f32 (/.f32 -1 alpha) (/.f32 (/.f32 -1 alpha) alpha)))
(/.f32 -1 alpha)
(.f32 (.f32 alpha (neg.f32 alpha)) (/.f32 (/.f32 -1 alpha) (*.f32 alpha (neg.f32 alpha))))
(/.f32 -1 alpha)
(*.f32 (/.f32 -1 alpha) 1)
(/.f32 -1 alpha)
(.f32 (.f32 alpha alpha) (/.f32 (/.f32 -1 alpha) (*.f32 alpha alpha)))
(/.f32 -1 alpha)
(*.f32 -1 (/.f32 1 alpha))
(/.f32 -1 alpha)
(*.f32 1 (/.f32 -1 alpha))
(/.f32 -1 alpha)
(.f32 (+.f32 alpha alpha) (/.f32 1/2 (.f32 alpha (neg.f32 alpha))))
(*.f32 (+.f32 alpha alpha) (/.f32 (/.f32 1/2 alpha) (neg.f32 alpha)))
(*.f32 (+.f32 alpha alpha) (/.f32 (/.f32 -1/2 alpha) alpha))
(.f32 (+.f32 alpha alpha) (.f32 (/.f32 (/.f32 -1 alpha) alpha) 1/2))
(/.f32 -1 alpha)
(*.f32 2 (/.f32 (/.f32 -1 alpha) 2))
(/.f32 -1 alpha)
(.f32 2 (/.f32 alpha (.f32 alpha (*.f32 alpha -2))))
(/.f32 -1 alpha)
(.f32 2 (/.f32 (neg.f32 alpha) (.f32 (*.f32 alpha alpha) 2)))
(/.f32 -1 alpha)
(.f32 -2 (/.f32 alpha (.f32 (*.f32 alpha alpha) 2)))
(.f32 -2 (/.f32 alpha (.f32 2 (*.f32 alpha alpha))))
(.f32 -2 (/.f32 (/.f32 alpha 2) (.f32 alpha alpha)))
(*.f32 -2 (/.f32 1/2 alpha))
(.f32 (.f32 alpha -2) (/.f32 1 (.f32 (.f32 alpha alpha) 2)))
(.f32 alpha (.f32 -2 (/.f32 1 (.f32 2 (.f32 alpha alpha)))))
(.f32 alpha (.f32 -2 (/.f32 1/2 (*.f32 alpha alpha))))
(.f32 alpha (.f32 -2 (/.f32 (/.f32 1/2 alpha) alpha)))
(.f32 (.f32 alpha 4) (/.f32 1 (.f32 alpha (.f32 (neg.f32 alpha) 4))))
(.f32 alpha (.f32 4 (/.f32 1 (.f32 alpha (.f32 (neg.f32 alpha) 4)))))
(.f32 alpha (.f32 4 (/.f32 (/.f32 1 alpha) (*.f32 alpha -4))))
(.f32 alpha (.f32 4 (/.f32 1/4 (*.f32 alpha (neg.f32 alpha)))))
(*.f32 (/.f32 1 alpha) -1)
(/.f32 -1 alpha)
(.f32 (/.f32 1 alpha) (/.f32 (.f32 alpha (neg.f32 alpha)) (*.f32 alpha alpha)))
(/.f32 -1 alpha)
(*.f32 (/.f32 (/.f32 -1 alpha) alpha) alpha)
(/.f32 -1 alpha)
(*.f32 (/.f32 -2 alpha) 1/2)
(*.f32 1/2 (/.f32 -2 alpha))
(*.f32 (/.f32 2 alpha) -1/2)
(*.f32 -1/2 (/.f32 2 alpha))
(*.f32 1/2 (/.f32 -2 alpha))
(*.f32 -1/2 (/.f32 2 alpha))
(.f32 (/.f32 1 (.f32 alpha alpha)) (neg.f32 alpha))
(/.f32 -1 alpha)
(.f32 (/.f32 1/2 (.f32 alpha (neg.f32 alpha))) (+.f32 alpha alpha))
(*.f32 (+.f32 alpha alpha) (/.f32 (/.f32 1/2 alpha) (neg.f32 alpha)))
(.f32 (+.f32 alpha alpha) (/.f32 1/2 (.f32 alpha (neg.f32 alpha))))
(*.f32 (+.f32 alpha alpha) (/.f32 (/.f32 -1/2 alpha) alpha))
(.f32 (/.f32 (.f32 alpha (neg.f32 alpha)) (*.f32 alpha alpha)) (/.f32 1 alpha))
(/.f32 -1 alpha)
(.f32 (.f32 (/.f32 (/.f32 -1 alpha) alpha) 1/2) (+.f32 alpha alpha))
(/.f32 -1 alpha)
(.f32 (.f32 (/.f32 -1 alpha) (/.f32 (/.f32 -1 alpha) alpha)) (*.f32 alpha (neg.f32 alpha)))
(/.f32 -1 alpha)
(.f32 (/.f32 (/.f32 -1 alpha) (.f32 alpha (neg.f32 alpha))) (*.f32 alpha (neg.f32 alpha)))
(/.f32 -1 alpha)
(*.f32 (/.f32 (/.f32 -1 alpha) 2) 2)
(/.f32 -1 alpha)
(.f32 (/.f32 (/.f32 -1 alpha) (.f32 alpha alpha)) (*.f32 alpha alpha))
(/.f32 -1 alpha)
(.f32 (/.f32 alpha (.f32 alpha (*.f32 alpha -2))) 2)
(/.f32 -1 alpha)
(.f32 (/.f32 alpha (.f32 (*.f32 alpha alpha) 2)) -2)
(.f32 -2 (/.f32 alpha (.f32 2 (*.f32 alpha alpha))))
(.f32 -2 (/.f32 (/.f32 alpha 2) (.f32 alpha alpha)))
(*.f32 -2 (/.f32 1/2 alpha))
(.f32 (/.f32 (neg.f32 alpha) (.f32 (*.f32 alpha alpha) 2)) 2)
(/.f32 -1 alpha)
(.f32 (/.f32 1 (.f32 (.f32 alpha alpha) 2)) (.f32 alpha -2))
(.f32 alpha (.f32 -2 (/.f32 1 (.f32 2 (.f32 alpha alpha)))))
(.f32 alpha (.f32 -2 (/.f32 1/2 (*.f32 alpha alpha))))
(.f32 alpha (.f32 -2 (/.f32 (/.f32 1/2 alpha) alpha)))
(.f32 (/.f32 1 (.f32 alpha (.f32 (neg.f32 alpha) 4))) (.f32 alpha 4))
(.f32 alpha (.f32 4 (/.f32 1 (.f32 alpha (.f32 (neg.f32 alpha) 4)))))
(.f32 alpha (.f32 4 (/.f32 (/.f32 1 alpha) (*.f32 alpha -4))))
(.f32 alpha (.f32 4 (/.f32 1/4 (*.f32 alpha (neg.f32 alpha)))))
(pow.f32 (/.f32 -1 alpha) 1)
(/.f32 -1 alpha)
(neg.f32 (/.f32 1 alpha))
(/.f32 -1 alpha)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 cosTheta (neg.f32 cosTheta))
✓	0.0b	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.2b	(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
	0.4b	(*.f32 (log.f32 alpha) (PI.f32))

Compiler

Compiled 44 to 18 computations (59.1% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
1.0ms	alpha	@	-inf	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
1.0ms	alpha	@	inf	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
1.0ms	cosTheta	@	0	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
1.0ms	cosTheta	@	inf	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`rational.json-1`
1644×	`rational.json-2`
1644×	`rational.json-3`
1620×	`exponential.json-3`
1620×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	125	52
2	337	48
3	1131	48
4	4880	48

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 -1/2 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (/.f32 -1 (+.f32 -1 (*.f32 cosTheta cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 -1/2 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (+.f32 -1 (*.f32 cosTheta cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 -1/2 (-.f32 1 (*.f32 cosTheta cosTheta))) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (*.f32 (-.f32 1 (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) 2) (/.f32 -1/2 (+.f32 -1 (*.f32 cosTheta cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) 2) (*.f32 1/2 (/.f32 -1 (+.f32 -1 (*.f32 cosTheta cosTheta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (-.f32 1 (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (-.f32 1 (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (log.f32 alpha)) (/.f32 1 (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (log.f32 alpha)) (*.f32 (/.f32 1 (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (log.f32 alpha)) (*.f32 (/.f32 1 (PI.f32)) (/.f32 -1 (+.f32 -1 (*.f32 cosTheta cosTheta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (+.f32 2 (*.f32 cosTheta (*.f32 cosTheta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (/.f32 2 (-.f32 1 (*.f32 cosTheta cosTheta)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) 4) (/.f32 1 (*.f32 (-.f32 1 (*.f32 cosTheta cosTheta)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 -1/2 (-.f32 1 (*.f32 cosTheta cosTheta))) 2) (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 -1/2 (log.f32 alpha)) 2) (/.f32 (/.f32 -1/2 (+.f32 -1 (*.f32 cosTheta cosTheta))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 -1 (*.f32 cosTheta cosTheta))) (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (PI.f32)) (/.f32 1 (*.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))) (/.f32 1 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (/.f32 2 (-.f32 1 (*.f32 cosTheta cosTheta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 -1 (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (+.f32 -1 (*.f32 cosTheta cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 1 (*.f32 (-.f32 1 (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 -1/2 (*.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 alpha)) (/.f32 -1/2 (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (+.f32 -1 (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1/2 (+.f32 -1 (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 -1 (PI.f32)) (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha)) (/.f32 -1/2 (-.f32 1 (*.f32 cosTheta cosTheta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))) (/.f32 -1/2 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (*.f32 cosTheta cosTheta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (neg.f32 (*.f32 cosTheta cosTheta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (*.f32 cosTheta cosTheta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 cosTheta cosTheta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta cosTheta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 cosTheta (*.f32 cosTheta -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 4) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 cosTheta cosTheta))))))

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1124×	`rational.json-simplify-43`
1098×	`rational.json-simplify-2`
954×	`rational.json-simplify-49`
930×	`rational.json-simplify-35`
866×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	3484
1	447	3374
2	1171	3344
3	3311	3272
4	6766	3272

Stop Event

1×	node limit

Counts

86 → 120

Calls

Call 1

Inputs
(/.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 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(/.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 (+.f32 1 (*.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(/.f32 1/2 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(/.f32 1/2 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(/.f32 1/2 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(/.f32 1/2 (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (.f32 (+.f32 1 (.f32 -1 (pow.f32 cosTheta 2))) (PI.f32))))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(-.f32 (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 4) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (PI.f32)))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (pow.f32 cosTheta 2) (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 cosTheta 6) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 -1/2 (/.f32 (pow.f32 cosTheta 4) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 1/2 (/.f32 1 (.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 (pow.f32 cosTheta 4) (PI.f32))))))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 6) (PI.f32))))) (.f32 1/2 (/.f32 1 (.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 4) (PI.f32))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 6) (PI.f32))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 8) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (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 (pow.f32 cosTheta 4) (PI.f32))))))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 4) (PI.f32))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 6) (PI.f32))))) (.f32 1/2 (/.f32 1 (.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 4) (PI.f32))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 6) (PI.f32))))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 8) (PI.f32))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 alpha) (.f32 (pow.f32 cosTheta 2) (PI.f32))))))))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(*.f32 -1 (pow.f32 cosTheta 2))
(+.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))) 0)
(+.f32 0 (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))))
(-.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))) 0)
(.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (/.f32 -1 (+.f32 -1 (.f32 cosTheta cosTheta))))
(.f32 1 (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta))))))
(.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta))))) 1)
(.f32 -1 (/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (+.f32 -1 (.f32 cosTheta cosTheta))))
(.f32 -1 (/.f32 (/.f32 -1/2 (-.f32 1 (.f32 cosTheta cosTheta))) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 -1 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (.f32 (-.f32 1 (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32)))))
(.f32 (.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) 2) (/.f32 -1/2 (+.f32 -1 (*.f32 cosTheta cosTheta))))
(.f32 (.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) 2) (.f32 1/2 (/.f32 -1 (+.f32 -1 (.f32 cosTheta cosTheta)))))
(.f32 (/.f32 -1/2 (-.f32 1 (.f32 cosTheta cosTheta))) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha)))
(.f32 (/.f32 -1/2 (-.f32 1 (.f32 cosTheta cosTheta))) (*.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha)) 1))
(.f32 (/.f32 -1/2 (log.f32 alpha)) (/.f32 1 (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(.f32 (/.f32 -1/2 (log.f32 alpha)) (.f32 (/.f32 1 (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta)))) 1))
(.f32 (/.f32 -1/2 (log.f32 alpha)) (.f32 (/.f32 1 (PI.f32)) (/.f32 -1 (+.f32 -1 (*.f32 cosTheta cosTheta)))))
(.f32 2 (/.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (+.f32 2 (.f32 cosTheta (*.f32 cosTheta -2)))))
(.f32 2 (/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (.f32 cosTheta cosTheta))))) 2))
(.f32 (.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (/.f32 2 (-.f32 1 (*.f32 cosTheta cosTheta)))) 1/2)
(.f32 (.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) 4) (/.f32 1 (.f32 (-.f32 1 (.f32 cosTheta cosTheta)) 4)))
(.f32 (.f32 (/.f32 -1/2 (-.f32 1 (.f32 cosTheta cosTheta))) 2) (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))))
(.f32 (.f32 (/.f32 -1/2 (log.f32 alpha)) 2) (/.f32 (/.f32 -1/2 (+.f32 -1 (*.f32 cosTheta cosTheta))) (PI.f32)))
(.f32 (/.f32 1 (+.f32 -1 (.f32 cosTheta cosTheta))) (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))))
(.f32 (/.f32 -1/2 (PI.f32)) (/.f32 1 (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))) (/.f32 1 (PI.f32)))
(.f32 (/.f32 -1/2 (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))) (/.f32 1 (log.f32 alpha)))
(.f32 1/2 (.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) (/.f32 2 (-.f32 1 (*.f32 cosTheta cosTheta)))))
(.f32 (/.f32 -1 (+.f32 -1 (.f32 cosTheta cosTheta))) (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)))
(.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (+.f32 -1 (*.f32 cosTheta cosTheta))))
(.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 1 (.f32 (-.f32 1 (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32)))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 -1/2 (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(.f32 (/.f32 1 (log.f32 alpha)) (/.f32 -1/2 (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))))
(.f32 (/.f32 -1/2 (+.f32 -1 (.f32 cosTheta cosTheta))) (*.f32 (/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha)) 2))
(.f32 (/.f32 -1/2 (+.f32 -1 (.f32 cosTheta cosTheta))) (/.f32 (/.f32 -1 (PI.f32)) (log.f32 alpha)))
(.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha)) (/.f32 -1/2 (-.f32 1 (.f32 cosTheta cosTheta))))
(.f32 (/.f32 1 (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta)))) (/.f32 -1/2 (log.f32 alpha)))
(pow.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 1 (*.f32 cosTheta cosTheta))))) 1)
(+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 0)
(+.f32 (-.f32 1 (*.f32 cosTheta cosTheta)) -1)
(+.f32 0 (neg.f32 (*.f32 cosTheta cosTheta)))
(+.f32 -1 (-.f32 1 (*.f32 cosTheta cosTheta)))
(-.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 0)
(-.f32 0 (*.f32 cosTheta cosTheta))
(/.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 1)
(/.f32 (*.f32 cosTheta cosTheta) -1)
(/.f32 (.f32 cosTheta (.f32 cosTheta -2)) 2)
(/.f32 (.f32 (neg.f32 (.f32 cosTheta cosTheta)) 4) 4)
(/.f32 (+.f32 (.f32 (neg.f32 (.f32 cosTheta cosTheta)) 4) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) 4)) 8)
(pow.f32 (neg.f32 (*.f32 cosTheta cosTheta)) 1)
(neg.f32 (*.f32 cosTheta cosTheta))

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

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f32 (*.f32 alpha alpha))
	0.2b	(/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))
	0.3b	(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
	0.4b	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Compiler

Compiled 80 to 29 computations (63.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(log.f32 (*.f32 alpha alpha))
0.0ms	alpha	@	inf	(log.f32 (*.f32 alpha alpha))
0.0ms	alpha	@	-inf	(log.f32 (*.f32 alpha alpha))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`rational.json-simplify-35`
1344×	`rational.json-simplify-2`
1294×	`rational.json-1`
1294×	`rational.json-2`
1294×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	39	11
2	97	11
3	248	11
4	1020	11
5	4194	11

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(log.f32 (*.f32 alpha alpha))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 alpha alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) 2) (/.f32 (log.f32 (*.f32 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (*.f32 alpha alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log.f32 (*.f32 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (*.f32 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (*.f32 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log.f32 (*.f32 alpha alpha)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (*.f32 alpha alpha)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log.f32 (*.f32 alpha alpha)) 4))) (*.f32 2 (*.f32 2 (*.f32 (log.f32 (*.f32 alpha alpha)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (*.f32 alpha alpha)) 1)))))

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational.json-simplify-2`
1058×	`rational.json-simplify-59`
1034×	`rational.json-simplify-19`
734×	`rational.json-simplify-1`
658×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	367
1	88	367
2	184	367
3	506	367
4	1371	367
5	4018	367
6	6043	367
7	7239	367

Stop Event

1×	node limit

Counts

29 → 21

Calls

Call 1

Inputs
(*.f32 2 (log.f32 alpha))
(*.f32 2 (log.f32 alpha))
(*.f32 2 (log.f32 alpha))
(*.f32 2 (log.f32 alpha))
(*.f32 -2 (log.f32 (/.f32 1 alpha)))
(*.f32 -2 (log.f32 (/.f32 1 alpha)))
(*.f32 -2 (log.f32 (/.f32 1 alpha)))
(*.f32 -2 (log.f32 (/.f32 1 alpha)))
(*.f32 -2 (log.f32 (/.f32 -1 alpha)))
(*.f32 -2 (log.f32 (/.f32 -1 alpha)))
(*.f32 -2 (log.f32 (/.f32 -1 alpha)))
(*.f32 -2 (log.f32 (/.f32 -1 alpha)))
(+.f32 (log.f32 (*.f32 alpha alpha)) 0)
(+.f32 0 (log.f32 (*.f32 alpha alpha)))
(+.f32 (/.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 (log.f32 (.f32 alpha alpha)) 2))
(-.f32 (log.f32 (*.f32 alpha alpha)) 0)
(.f32 (log.f32 (.f32 alpha alpha)) 1)
(.f32 1 (log.f32 (.f32 alpha alpha)))
(.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) 2))
(.f32 (.f32 (log.f32 (*.f32 alpha alpha)) 2) 1/2)
(.f32 1/2 (.f32 (log.f32 (*.f32 alpha alpha)) 2))
(.f32 (/.f32 (log.f32 (.f32 alpha alpha)) 2) 2)
(/.f32 (log.f32 (*.f32 alpha alpha)) 1)
(/.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) 2)
(/.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4) 4)
(/.f32 (.f32 2 (.f32 (log.f32 (*.f32 alpha alpha)) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4))) (.f32 2 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4)))) 32)
(pow.f32 (log.f32 (*.f32 alpha alpha)) 1)

Outputs
(*.f32 2 (log.f32 alpha))
(*.f32 2 (log.f32 alpha))
(*.f32 2 (log.f32 alpha))
(*.f32 2 (log.f32 alpha))
(*.f32 -2 (log.f32 (/.f32 1 alpha)))
(*.f32 -2 (log.f32 (/.f32 1 alpha)))
(*.f32 -2 (log.f32 (/.f32 1 alpha)))
(*.f32 -2 (log.f32 (/.f32 1 alpha)))
(*.f32 -2 (log.f32 (/.f32 -1 alpha)))
(*.f32 -2 (log.f32 (/.f32 -1 alpha)))
(*.f32 -2 (log.f32 (/.f32 -1 alpha)))
(*.f32 -2 (log.f32 (/.f32 -1 alpha)))
(+.f32 (log.f32 (*.f32 alpha alpha)) 0)
(log.f32 (*.f32 alpha alpha))
(+.f32 0 (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(+.f32 (/.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 (log.f32 (.f32 alpha alpha)) 2))
(log.f32 (*.f32 alpha alpha))
(-.f32 (log.f32 (*.f32 alpha alpha)) 0)
(log.f32 (*.f32 alpha alpha))
(.f32 (log.f32 (.f32 alpha alpha)) 1)
(log.f32 (*.f32 alpha alpha))
(.f32 1 (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) 2))
(log.f32 (*.f32 alpha alpha))
(.f32 (.f32 (log.f32 (*.f32 alpha alpha)) 2) 1/2)
(log.f32 (*.f32 alpha alpha))
(.f32 1/2 (.f32 (log.f32 (*.f32 alpha alpha)) 2))
(log.f32 (*.f32 alpha alpha))
(.f32 (/.f32 (log.f32 (.f32 alpha alpha)) 2) 2)
(log.f32 (*.f32 alpha alpha))
(/.f32 (log.f32 (*.f32 alpha alpha)) 1)
(log.f32 (*.f32 alpha alpha))
(/.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) 2)
(log.f32 (*.f32 alpha alpha))
(/.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4) 4)
(log.f32 (*.f32 alpha alpha))
(/.f32 (.f32 2 (.f32 (log.f32 (*.f32 alpha alpha)) 4)) 8)
(log.f32 (*.f32 alpha alpha))
(/.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4))) 16)
(log.f32 (*.f32 alpha alpha))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4))) (.f32 2 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4)))) 32)
(log.f32 (*.f32 alpha alpha))
(pow.f32 (log.f32 (*.f32 alpha alpha)) 1)
(log.f32 (*.f32 alpha alpha))

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.4b	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))
✓	0.4b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32))

Compiler

Compiled 92 to 40 computations (56.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	-inf	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))
0.0ms	alpha	@	0	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32))
0.0ms	alpha	@	inf	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32))
0.0ms	alpha	@	inf	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))
0.0ms	alpha	@	0	(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational.json-1`
1238×	`rational.json-2`
1238×	`rational.json-3`
1228×	`exponential.json-3`
1228×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	88	66
2	245	66
3	809	66
4	3261	66

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2) (*.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2) (*.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2) (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) (/.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -2) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -2) (*.f32 (/.f32 1 (PI.f32)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (PI.f32)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4) (/.f32 1 (*.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (PI.f32))) (/.f32 1/2 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (/.f32 1 (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (/.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 1 (*.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 -1 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (log.f32 (*.f32 alpha alpha)))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (PI.f32)) (*.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (PI.f32)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (PI.f32)) 1/2) (*.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))) 1/2) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (log.f32 (*.f32 alpha alpha)))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) (/.f32 1/2 (PI.f32))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) 2)) (/.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) 2)) (*.f32 2 (/.f32 1 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (*.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) 4)) (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (PI.f32)) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2) (/.f32 1/2 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2) (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (log.f32 (*.f32 alpha alpha)))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 1/2) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 2 (/.f32 1 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) 4)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (log.f32 (*.f32 alpha alpha))) (-.f32 1 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (/.f32 1/2 (log.f32 (*.f32 alpha alpha)))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))))))

simplify132.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-49`
994×	`rational.json-simplify-2`
854×	`rational.json-simplify-41`
844×	`rational.json-simplify-53`
784×	`rational.json-simplify-46`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	232	5706
1	449	5646
2	1009	5470
3	2539	5470
4	5284	5378

Stop Event

1×	node limit

Counts

130 → 184

Calls

Call 1

Inputs
(/.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 (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 (log.f32 alpha))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/2 (/.f32 1 (log.f32 alpha))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/2 (/.f32 1 (log.f32 alpha))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/2 (/.f32 1 (log.f32 alpha))))
(*.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 -1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 -1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 -1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 0)
(.f32 -1 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(.f32 -1 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 -1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (neg.f32 (log.f32 (.f32 alpha alpha))))))
(.f32 -1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(.f32 -1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 (/.f32 1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) 1)
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (.f32 alpha alpha))) 1/2))
(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (log.f32 (.f32 alpha alpha)))))
(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 1/2 (PI.f32))))
(.f32 (.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) -2) (/.f32 1/2 (PI.f32)))
(.f32 (.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) -2) (*.f32 (/.f32 1 (PI.f32)) 1/2))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha))))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) 2)))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) 2)))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) 2))
(.f32 2 (.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)))
(.f32 2 (.f32 (/.f32 1/2 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))
(.f32 2 (.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) 1/2)
(.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 4) (/.f32 1 (*.f32 (PI.f32) 4)))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))) (/.f32 1/2 (log.f32 (.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)) 4)))
(.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (/.f32 -1 (PI.f32)))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (PI.f32) (neg.f32 (log.f32 (.f32 alpha alpha))))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(.f32 (.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha)))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (*.f32 (PI.f32) 2)))
(.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) -2))
(.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))
(.f32 1/2 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))))
(.f32 (/.f32 2 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 2)))
(.f32 (.f32 (/.f32 1 (PI.f32)) 1/2) (.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -2))
(.f32 (.f32 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (.f32 alpha alpha))) 1/2) (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 1/2 (PI.f32))) (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2))
(.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)) -1)
(.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) -1)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (neg.f32 (log.f32 (.f32 alpha alpha))))) -1)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))) -1)
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) -1)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 2)) (/.f32 2 (PI.f32)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) 2)) (.f32 2 (/.f32 1 (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) 2)) 2)
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) 4)) (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4))
(.f32 (/.f32 -1 (PI.f32)) (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) 2)) 2)
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) 2) 2)
(.f32 (/.f32 1 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)) 4)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (/.f32 1 (.f32 (PI.f32) (neg.f32 (log.f32 (.f32 alpha alpha))))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (neg.f32 (PI.f32)))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (/.f32 -1 (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))) (-.f32 1 (.f32 alpha alpha)))
(.f32 (+.f32 (/.f32 1/2 (PI.f32)) (/.f32 1/2 (PI.f32))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(.f32 (+.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(.f32 (+.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (/.f32 1/2 (log.f32 (.f32 alpha alpha)))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) 1)
(neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
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(neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (neg.f32 (log.f32 (*.f32 alpha alpha))))))
(neg.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
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(.f32 (+.f32 (.f32 alpha (+.f32 alpha alpha)) -2) (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 1/2))
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(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 2)))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 2))
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(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
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(.f32 1/2 (.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) -2))
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(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 2) 2)
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) 4)) (.f32 (+.f32 (*.f32 alpha alpha) -1) 4))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (-.f32 1 (*.f32 alpha alpha)))
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(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 1)
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))))

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

localize112.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
✓	0.2b	(/.f32 1 (log.f32 (*.f32 alpha alpha)))
✓	0.3b	(/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)))
✓	0.4b	(/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1))

Compiler

Compiled 99 to 46 computations (53.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(/.f32 1 (log.f32 (*.f32 alpha alpha)))
0.0ms	alpha	@	0	(/.f32 1 (log.f32 (*.f32 alpha alpha)))
0.0ms	alpha	@	inf	(/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1))
0.0ms	alpha	@	0	(/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1))
0.0ms	alpha	@	-inf	(/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1))

rewrite125.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`rational.json-1`
1982×	`rational.json-2`
1982×	`rational.json-3`
1966×	`rational.json-4`
790×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	112	75
2	317	75
3	1114	75
4	5184	75

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (/.f32 1 (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (PI.f32) (-.f32 1 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (*.f32 (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (*.f32 1/2 (/.f32 1 (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (/.f32 1 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (PI.f32) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (*.f32 alpha alpha) -1)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (PI.f32)) (/.f32 1 (-.f32 1 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (PI.f32) (-.f32 1 (*.f32 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (+.f32 (*.f32 alpha alpha) -1))) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)) (*.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (PI.f32) (-.f32 1 (*.f32 alpha alpha))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) (/.f32 (PI.f32) (-.f32 1 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 2 (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 (/.f32 1/2 (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) (*.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) (*.f32 1/2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 2) (/.f32 1 (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (/.f32 1 (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (/.f32 (log.f32 (*.f32 alpha alpha)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 4) (/.f32 1 (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) 1/2)) (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (/.f32 (log.f32 (*.f32 alpha alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 1 (*.f32 (neg.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 alpha alpha)) (/.f32 1 (neg.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 1 (/.f32 1 (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (PI.f32)) (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (PI.f32)) (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) 2) (/.f32 2 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha))) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 -1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 2) (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 2 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (log.f32 (*.f32 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))) (log.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 2 (log.f32 (*.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha))) (/.f32 (log.f32 (*.f32 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -1 (log.f32 (*.f32 alpha alpha))))))))

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational.json-simplify-44`
1086×	`rational.json-simplify-51`
1052×	`rational.json-simplify-35`
956×	`rational.json-simplify-47`
840×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	232	4188
1	560	4150
2	1353	4088
3	5588	4058

Stop Event

1×	node limit

Counts

120 → 162

Calls

Call 1

Inputs
(*.f32 -1 (PI.f32))
(+.f32 (.f32 -1 (PI.f32)) (.f32 -1 (*.f32 (pow.f32 alpha 2) (PI.f32))))
(+.f32 (.f32 -1 (PI.f32)) (+.f32 (.f32 -1 (.f32 (pow.f32 alpha 2) (PI.f32))) (.f32 -1 (*.f32 (pow.f32 alpha 4) (PI.f32)))))
(+.f32 (.f32 -1 (.f32 (pow.f32 alpha 6) (PI.f32))) (+.f32 (.f32 -1 (PI.f32)) (+.f32 (.f32 -1 (.f32 (pow.f32 alpha 2) (PI.f32))) (.f32 -1 (*.f32 (pow.f32 alpha 4) (PI.f32))))))
(/.f32 (PI.f32) (pow.f32 alpha 2))
(+.f32 (/.f32 (PI.f32) (pow.f32 alpha 4)) (/.f32 (PI.f32) (pow.f32 alpha 2)))
(+.f32 (/.f32 (PI.f32) (pow.f32 alpha 6)) (+.f32 (/.f32 (PI.f32) (pow.f32 alpha 4)) (/.f32 (PI.f32) (pow.f32 alpha 2))))
(+.f32 (/.f32 (PI.f32) (pow.f32 alpha 6)) (+.f32 (/.f32 (PI.f32) (pow.f32 alpha 4)) (+.f32 (/.f32 (PI.f32) (pow.f32 alpha 8)) (/.f32 (PI.f32) (pow.f32 alpha 2)))))
(/.f32 (PI.f32) (pow.f32 alpha 2))
(+.f32 (/.f32 (PI.f32) (pow.f32 alpha 4)) (/.f32 (PI.f32) (pow.f32 alpha 2)))
(+.f32 (/.f32 (PI.f32) (pow.f32 alpha 6)) (+.f32 (/.f32 (PI.f32) (pow.f32 alpha 4)) (/.f32 (PI.f32) (pow.f32 alpha 2))))
(+.f32 (/.f32 (PI.f32) (pow.f32 alpha 6)) (+.f32 (/.f32 (PI.f32) (pow.f32 alpha 4)) (+.f32 (/.f32 (PI.f32) (pow.f32 alpha 8)) (/.f32 (PI.f32) (pow.f32 alpha 2)))))
(/.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 (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 (log.f32 alpha))
(/.f32 1/2 (log.f32 alpha))
(/.f32 1/2 (log.f32 alpha))
(/.f32 1/2 (log.f32 alpha))
(/.f32 -1/2 (log.f32 (/.f32 1 alpha)))
(/.f32 -1/2 (log.f32 (/.f32 1 alpha)))
(/.f32 -1/2 (log.f32 (/.f32 1 alpha)))
(/.f32 -1/2 (log.f32 (/.f32 1 alpha)))
(/.f32 -1/2 (log.f32 (/.f32 -1 alpha)))
(/.f32 -1/2 (log.f32 (/.f32 -1 alpha)))
(/.f32 -1/2 (log.f32 (/.f32 -1 alpha)))
(/.f32 -1/2 (log.f32 (/.f32 -1 alpha)))
(+.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 0)
(+.f32 0 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)))
(-.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 0)
(.f32 (PI.f32) (/.f32 1 (+.f32 (.f32 alpha alpha) -1)))
(.f32 -1 (/.f32 (PI.f32) (-.f32 1 (.f32 alpha alpha))))
(.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) 1)
(.f32 1 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)))
(.f32 (.f32 (PI.f32) 2) (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)))
(.f32 (.f32 (PI.f32) 2) (.f32 (/.f32 1/2 (+.f32 (.f32 alpha alpha) -1)) 1))
(.f32 (.f32 (PI.f32) 2) (.f32 1/2 (/.f32 1 (+.f32 (.f32 alpha alpha) -1))))
(.f32 (.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 2) 1/2)
(.f32 2 (.f32 (PI.f32) (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1))))
(.f32 (.f32 (PI.f32) 1/2) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1)))
(.f32 (.f32 (PI.f32) 4) (/.f32 1 (.f32 (+.f32 (.f32 alpha alpha) -1) 4)))
(.f32 (.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 4) 1/4)
(.f32 4 (/.f32 (PI.f32) (.f32 (+.f32 (*.f32 alpha alpha) -1) 4)))
(.f32 (/.f32 1 (+.f32 (.f32 alpha alpha) -1)) (PI.f32))
(.f32 1/2 (.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 2))
(.f32 (neg.f32 (PI.f32)) (/.f32 1 (-.f32 1 (.f32 alpha alpha))))
(.f32 (/.f32 (PI.f32) (-.f32 1 (.f32 alpha alpha))) -1)
(.f32 (.f32 2 (/.f32 1 (+.f32 (.f32 alpha alpha) -1))) (.f32 (PI.f32) 1/2))
(.f32 (.f32 (PI.f32) (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1))) 2)
(.f32 (/.f32 1/2 (+.f32 (.f32 alpha alpha) -1)) (*.f32 (PI.f32) 2))
(pow.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 1)
(neg.f32 (/.f32 (PI.f32) (-.f32 1 (*.f32 alpha alpha))))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(.f32 -1 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (PI.f32) (-.f32 1 (*.f32 alpha alpha)))))
(.f32 -1 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (neg.f32 (log.f32 (*.f32 alpha alpha)))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) 2)))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1)
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1/2 (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) 2))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) 2) 1))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32))))
(.f32 2 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) 2)))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (*.f32 (PI.f32) 2))))
(.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) 2)))))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 1 (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (*.f32 alpha alpha)) 2)))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) 4))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) 2))) 1/2)
(.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 4) (/.f32 1 (.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 4)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) 1/2)) (/.f32 1 (.f32 (log.f32 (*.f32 alpha alpha)) 2)))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) 2))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 alpha alpha) -1))))
(.f32 (/.f32 2 (PI.f32)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))
(.f32 (/.f32 1/2 (PI.f32)) (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) 2) (/.f32 2 (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32))))
(.f32 (/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) 2)))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(+.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 0)
(+.f32 0 (/.f32 1 (log.f32 (*.f32 alpha alpha))))
(-.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 0)
(-.f32 0 (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(.f32 1 (/.f32 1 (log.f32 (.f32 alpha alpha))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 1)
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) 1/2)
(.f32 2 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 2))
(.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) 2))))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (*.f32 alpha alpha)) 2))))
(.f32 (.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 4) 1/4)
(.f32 1/2 (/.f32 2 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) -1)
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))) (log.f32 (*.f32 alpha alpha)))
(.f32 (/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))) (/.f32 (log.f32 (.f32 alpha alpha)) 2))
(pow.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 1)
(neg.f32 (/.f32 -1 (log.f32 (*.f32 alpha alpha))))

Outputs
(*.f32 -1 (PI.f32))
(neg.f32 (PI.f32))
(+.f32 (.f32 -1 (PI.f32)) (.f32 -1 (*.f32 (pow.f32 alpha 2) (PI.f32))))
(+.f32 (*.f32 (pow.f32 alpha 2) (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))
(.f32 -1 (+.f32 (PI.f32) (.f32 (PI.f32) (pow.f32 alpha 2))))
(*.f32 (PI.f32) (+.f32 -1 (neg.f32 (pow.f32 alpha 2))))
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(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) 2)))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (.f32 (/.f32 (PI.f32) (+.f32 -1 (.f32 alpha alpha))) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 2 (log.f32 (.f32 alpha alpha)))))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 2 (.f32 (/.f32 (PI.f32) (+.f32 -1 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha))))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1/2 (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) 2))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) 2) 1))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 2 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (*.f32 (PI.f32) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) 2)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 1 (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (*.f32 alpha alpha)) 2)))))
(.f32 (.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 1 (.f32 (/.f32 (PI.f32) (+.f32 -1 (.f32 alpha alpha))) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 2 (log.f32 (*.f32 alpha alpha)))))))
(.f32 (log.f32 (.f32 alpha alpha)) (.f32 2 (/.f32 (/.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))) (/.f32 (PI.f32) (+.f32 -1 (.f32 alpha alpha))))))
(.f32 (.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (PI.f32)) (/.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))))
(.f32 (log.f32 (.f32 alpha alpha)) (.f32 2 (.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (PI.f32)) (/.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha))))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) 4))))
(.f32 (.f32 4 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1 (.f32 (PI.f32) (.f32 4 (log.f32 (.f32 alpha alpha))))))
(.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 4 (/.f32 (/.f32 1 (PI.f32)) (.f32 4 (log.f32 (*.f32 alpha alpha))))))
(.f32 (/.f32 1/4 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 4 (+.f32 -1 (*.f32 alpha alpha))))
(.f32 4 (.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 1/4 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) 2))) 1/2)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 4) (/.f32 1 (.f32 (/.f32 (PI.f32) (+.f32 (*.f32 alpha alpha) -1)) 4)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) 1/2)) (/.f32 1 (.f32 (log.f32 (*.f32 alpha alpha)) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 (/.f32 -1 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 -1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (PI.f32)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (PI.f32)) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 2 (PI.f32)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 1/2 (PI.f32)) (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (log.f32 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) 2) (/.f32 2 (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (.f32 (/.f32 (PI.f32) (+.f32 -1 (.f32 alpha alpha))) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 2 (log.f32 (.f32 alpha alpha)))))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 2 (.f32 (/.f32 (PI.f32) (+.f32 -1 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha))))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) 2)))
(.f32 (/.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 2 (/.f32 (PI.f32) (+.f32 -1 (*.f32 alpha alpha))))))
(.f32 (/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 2 (/.f32 (PI.f32) (+.f32 -1 (.f32 alpha alpha))))))
(/.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))) (/.f32 (PI.f32) (+.f32 -1 (*.f32 alpha alpha))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32))
(+.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 0)
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(+.f32 0 (/.f32 1 (log.f32 (*.f32 alpha alpha))))
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(-.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 0)
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(-.f32 0 (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 1 (/.f32 1 (log.f32 (.f32 alpha alpha))))
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 1)
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) 1/2)
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 2 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 2))
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) 2))))
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (*.f32 alpha alpha)) 2))))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 4) 1/4)
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 1/2 (/.f32 2 (log.f32 (.f32 alpha alpha))))
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) -1)
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(.f32 (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))) (log.f32 (*.f32 alpha alpha)))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))) (/.f32 (log.f32 (.f32 alpha alpha)) 2))
(.f32 (/.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))))
(/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))))
(pow.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 1)
(/.f32 1 (log.f32 (*.f32 alpha alpha)))
(neg.f32 (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(/.f32 1 (log.f32 (*.f32 alpha alpha)))

eval831.0ms (5.2%)

Compiler: Compiled 25190 to 13340 computations (47% saved)

prune496.0ms (3.1%)

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	914	31	945
Fresh	13	8	21
Picked	1	0	1
Done	3	1	4
Total	931	40	971

Error

0.0b

Counts

971 → 40

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32)) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.8b	(/.f32 (/.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1 (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	5.8b	(/.f32 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (pow.f32 alpha 2) (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	5.9b	(/.f32 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) (+.f32 -1 (neg.f32 (pow.f32 alpha 2))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
▶	0.8b	(/.f32 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.6b	(/.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	10.9b	(/.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (/.f32 1 alpha))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.6b	(/.f32 (/.f32 (/.f32 -1/2 (log.f32 (/.f32 1 alpha))) (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	10.9b	(/.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) (-.f32 1 (*.f32 cosTheta cosTheta)))
	0.7b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.6b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	1.9b	(/.f32 (/.f32 (+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))))) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
▶	0.5b	(/.f32 (/.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (/.f32 1 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 1 (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
▶	10.9b	(/.f32 (/.f32 -1/2 (+.f32 -1 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	10.9b	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))
	10.9b	(/.f32 (/.f32 -1/2 (log.f32 (pow.f32 alpha (PI.f32)))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	11.2b	(/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32))
	11.2b	(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
	0.7b	(/.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 (*.f32 cosTheta (neg.f32 cosTheta))))
	11.6b	(/.f32 (+.f32 -1 (-.f32 1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 (/.f32 2 (/.f32 (log.f32 alpha) (+.f32 (.f32 alpha alpha) -1))) (PI.f32)) 1/4) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1/2 (log.f32 alpha))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
▶	0.7b	(/.f32 (.f32 (/.f32 2 (PI.f32)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 1 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (.f32 (/.f32 1 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha))))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.8b	(/.f32 (.f32 (/.f32 -1/2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.6b	(/.f32 (.f32 (.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (PI.f32)) (/.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.6b	(/.f32 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) 2))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	10.9b	(/.f32 -1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (*.f32 cosTheta cosTheta))))
▶	11.2b	(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
	10.9b	(.f32 (/.f32 1 (PI.f32)) (/.f32 -1/2 (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))))

Compiler

Compiled 1830 to 1274 computations (30.4% saved)

localize79.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta)
	0.2b	(/.f32 1 (log.f32 (*.f32 alpha alpha)))
✓	0.3b	(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))
✓	0.4b	(/.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)) (PI.f32))

Compiler

Compiled 104 to 48 computations (53.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)) (PI.f32))
0.0ms	alpha	@	inf	(/.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)) (PI.f32))
0.0ms	alpha	@	-inf	(/.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)) (PI.f32))
0.0ms	alpha	@	inf	(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))
0.0ms	alpha	@	-inf	(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2316×	`rational.json-1`
1170×	`rational.json-2`
1170×	`rational.json-3`
1162×	`exponential.json-3`
1162×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	106	66
2	255	66
3	734	66
4	3082	66
5	7883	66

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))) (*.f32 (/.f32 1 (PI.f32)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))) (/.f32 1 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2) (/.f32 1 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (PI.f32)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 2) (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 2) (*.f32 (/.f32 1 (PI.f32)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 (*.f32 alpha alpha) -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4) (/.f32 1 (*.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 1/2 (/.f32 1 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 2 (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (/.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (PI.f32)) (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (PI.f32))) (/.f32 1/2 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (PI.f32)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))) (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2) (/.f32 2 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (PI.f32)) 1/2) (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (PI.f32)) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 1/2)) (*.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (log.f32 (*.f32 alpha alpha)))) (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (*.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) 4)) (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1/2 (PI.f32)) (/.f32 1/2 (PI.f32))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (-.f32 0 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 2 (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)) (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 4) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (-.f32 0 (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)) (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (*.f32 (log.f32 (*.f32 alpha alpha)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 alpha alpha)) (neg.f32 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (-.f32 1 (*.f32 alpha alpha))) (*.f32 2 (neg.f32 (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (log.f32 (*.f32 alpha alpha))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2)) (neg.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (*.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))) (-.f32 0 (neg.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (-.f32 1 (*.f32 alpha alpha)))) (neg.f32 (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4)) (neg.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (-.f32 1 (*.f32 alpha alpha)))) (-.f32 0 (*.f32 2 (neg.f32 (log.f32 (*.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (-.f32 1 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))))))

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational.json-simplify-53`
910×	`rational.json-simplify-51`
906×	`rational.json-simplify-35`
880×	`rational.json-simplify-1`
802×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	4509
1	518	4473
2	1221	3995
3	4040	3995
4	6160	3995

Stop Event

1×	node limit

Counts

103 → 120

Calls

Call 1

Inputs
(/.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 (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 (log.f32 alpha))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/2 (/.f32 1 (log.f32 alpha))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/2 (/.f32 1 (log.f32 alpha))))
(-.f32 (.f32 1/2 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/2 (/.f32 1 (log.f32 alpha))))
(*.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 -1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 -1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 1/2 (/.f32 1 (log.f32 (/.f32 -1 alpha)))) (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) 0)
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))
(.f32 -1 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 1)
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))) (/.f32 1/2 (PI.f32)))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))) (*.f32 (/.f32 1 (PI.f32)) 1/2))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) 2)))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 2))
(.f32 2 (.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))) (/.f32 1 (log.f32 (*.f32 alpha alpha)))))
(.f32 2 (.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)))
(.f32 2 (.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2) (/.f32 1 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(.f32 2 (.f32 (/.f32 1/2 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 1 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 (*.f32 alpha alpha) -1))
(.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 2) (.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))))
(.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 2) (.f32 (/.f32 1 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2)))
(.f32 (/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 (*.f32 alpha alpha) -1))) 1/2)
(.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 4) (/.f32 1 (*.f32 (PI.f32) 4)))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 1/2 (/.f32 1 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (/.f32 1 (log.f32 (*.f32 alpha alpha))))
(.f32 1/2 (/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 (*.f32 alpha alpha) -1))))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (/.f32 -1 (PI.f32)))
(.f32 (/.f32 -1 (PI.f32)) (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 2 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))) (/.f32 1/2 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (.f32 alpha alpha))) (.f32 (+.f32 (.f32 alpha alpha) -1) 2))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1/2 (PI.f32))) (.f32 (/.f32 1 (log.f32 (*.f32 alpha alpha))) 2))
(.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2) (/.f32 2 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(.f32 (.f32 (/.f32 1 (PI.f32)) 1/2) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (/.f32 1 (PI.f32)) (.f32 (+.f32 (.f32 alpha alpha) -1) 1/2)) (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) 2))
(.f32 (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)) -1)
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) 2)) 2)
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) 2) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) 4)) (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4))
(.f32 (+.f32 (/.f32 1/2 (PI.f32)) (/.f32 1/2 (PI.f32))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) 1)
(neg.f32 (/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 0)
(-.f32 0 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))))
(/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 -1 (-.f32 0 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 1)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))) 2)
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4) 4)
(/.f32 4 (.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (*.f32 alpha alpha) -1))))
(/.f32 4 (/.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4) (+.f32 (*.f32 alpha alpha) -1)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))
(/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) -1)
(/.f32 (.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))) 4) 8)
(/.f32 -2 (-.f32 0 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (.f32 (log.f32 (.f32 alpha alpha)) 4))
(/.f32 (-.f32 1 (.f32 alpha alpha)) (neg.f32 (log.f32 (.f32 alpha alpha))))
(/.f32 (.f32 2 (-.f32 1 (.f32 alpha alpha))) (.f32 2 (neg.f32 (log.f32 (.f32 alpha alpha)))))
(/.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (*.f32 alpha alpha))) 4)
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) 2))) 1/2)
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2)) (neg.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2))))
(/.f32 (neg.f32 (-.f32 1 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha)))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2))) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2))) (-.f32 0 (neg.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 1 (.f32 alpha alpha)))) (neg.f32 (log.f32 (.f32 alpha alpha))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4)) (neg.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4)))
(/.f32 (neg.f32 (.f32 2 (-.f32 1 (.f32 alpha alpha)))) (-.f32 0 (.f32 2 (neg.f32 (log.f32 (.f32 alpha alpha))))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 1)
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))))

Outputs
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (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 (.f32 1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (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 (.f32 1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32)))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 1 alpha))) (PI.f32))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (*.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 -1 alpha))) (PI.f32))))
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(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 -1 (-.f32 0 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 1)
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (*.f32 alpha alpha)))) 2)
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (pow.f32 (.f32 alpha alpha) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (pow.f32 (sqrt.f32 (.f32 alpha alpha)) 2)))
(/.f32 (.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 4) 4)
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 4 (.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (*.f32 alpha alpha) -1))))
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (pow.f32 (.f32 alpha alpha) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (pow.f32 (sqrt.f32 (.f32 alpha alpha)) 2)))
(/.f32 4 (/.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4) (+.f32 (*.f32 alpha alpha) -1)))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (pow.f32 (.f32 alpha alpha) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (pow.f32 (sqrt.f32 (.f32 alpha alpha)) 2)))
(/.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) -1)
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (log.f32 (.f32 alpha alpha)))) 4) 8)
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 -2 (-.f32 0 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 (.f32 alpha alpha) -1))))
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (pow.f32 (.f32 alpha alpha) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (pow.f32 (sqrt.f32 (.f32 alpha alpha)) 2)))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (.f32 (log.f32 (.f32 alpha alpha)) 4))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (-.f32 1 (.f32 alpha alpha)) (neg.f32 (log.f32 (.f32 alpha alpha))))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (.f32 2 (-.f32 1 (.f32 alpha alpha))) (.f32 2 (neg.f32 (log.f32 (.f32 alpha alpha)))))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (log.f32 (*.f32 alpha alpha))) 4)
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) 2))) 1/2)
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (pow.f32 (.f32 alpha alpha) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (pow.f32 (sqrt.f32 (.f32 alpha alpha)) 2)))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2)) (neg.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2))))
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (pow.f32 (.f32 alpha alpha) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (pow.f32 (sqrt.f32 (.f32 alpha alpha)) 2)))
(/.f32 (neg.f32 (-.f32 1 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha)))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2))) (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (pow.f32 (.f32 alpha alpha) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (pow.f32 (sqrt.f32 (.f32 alpha alpha)) 2)))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2))) (-.f32 0 (neg.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) 2)))))
(/.f32 2 (/.f32 (log.f32 (pow.f32 (.f32 alpha alpha) 2)) (+.f32 -1 (.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (sqrt.f32 (pow.f32 (.f32 alpha alpha) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (pow.f32 (sqrt.f32 (.f32 alpha alpha)) 2)))
(/.f32 (neg.f32 (neg.f32 (-.f32 1 (.f32 alpha alpha)))) (neg.f32 (log.f32 (.f32 alpha alpha))))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4)) (neg.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4)))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(/.f32 (neg.f32 (.f32 2 (-.f32 1 (.f32 alpha alpha)))) (-.f32 0 (.f32 2 (neg.f32 (log.f32 (.f32 alpha alpha))))))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 1)
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))))
(+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 alpha)
	0.2b	(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
	0.4b	(*.f32 (log.f32 alpha) (PI.f32))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series0.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(log.f32 alpha)
0.0ms	alpha	@	-inf	(log.f32 alpha)
0.0ms	alpha	@	inf	(log.f32 alpha)

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`rational.json-1`
1554×	`rational.json-2`
1554×	`rational.json-3`
1444×	`exponential.json-3`
1444×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	27	5
2	75	5
3	150	5
4	265	5
5	559	5
6	1294	5
7	2921	5
8	4937	5
9	6560	5

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(log.f32 alpha)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 alpha)) (log.f32 (sqrt.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 alpha) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (log.f32 alpha) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 alpha) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 1/8 (log.f32 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 alpha) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (sqrt.f32 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log.f32 alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 alpha) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 (log.f32 alpha) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 alpha) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 alpha) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log.f32 alpha) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log.f32 (pow.f32 alpha 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log.f32 (pow.f32 alpha 16))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (log.f32 (pow.f32 alpha 16)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (log.f32 (pow.f32 alpha 16))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (log.f32 (pow.f32 alpha 16))))) (*.f32 2 (*.f32 2 (*.f32 2 (log.f32 (pow.f32 alpha 16)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 alpha) 1)))))

simplify564.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

6454×	`rational.json-simplify-41`
3830×	`rational.json-simplify-35`
1514×	`rational.json-simplify-49`
1458×	`rational.json-simplify-2`
852×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	371
1	133	355
2	416	355
3	1012	347
4	1586	347
5	2305	347
6	2690	347
7	2798	347
8	2889	347
9	2941	347
10	2992	347
11	3041	347
12	3088	347
13	3135	347
14	3182	347
15	3229	347
16	3276	347
17	3323	347
18	3370	347
19	4365	347
20	4806	347
21	4978	347
22	4978	347
23	5362	347
24	5379	347
25	5554	347
26	5718	347
27	5882	347
28	6046	347
29	6210	347
30	6374	347
31	6538	347
32	6538	347
33	6538	347

Stop Event

1×	node limit

Counts

35 → 36

Calls

Call 1

Inputs
(*.f32 -1 (log.f32 (/.f32 1 alpha)))
(*.f32 -1 (log.f32 (/.f32 1 alpha)))
(*.f32 -1 (log.f32 (/.f32 1 alpha)))
(*.f32 -1 (log.f32 (/.f32 1 alpha)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 alpha) 0)
(+.f32 0 (log.f32 alpha))
(+.f32 (log.f32 (sqrt.f32 alpha)) (log.f32 (sqrt.f32 alpha)))
(-.f32 (log.f32 alpha) 0)
(*.f32 (log.f32 alpha) 1)
(*.f32 1 (log.f32 alpha))
(*.f32 2 (log.f32 (sqrt.f32 alpha)))
(.f32 (.f32 (log.f32 alpha) 2) 1/2)
(.f32 4 (.f32 (log.f32 alpha) 1/4))
(.f32 (.f32 (log.f32 alpha) 4) 1/4)
(.f32 8 (.f32 1/8 (log.f32 alpha)))
(.f32 (.f32 (log.f32 alpha) 8) 1/8)
(.f32 1/2 (.f32 (log.f32 alpha) 2))
(*.f32 (log.f32 (sqrt.f32 alpha)) 2)
(.f32 1/4 (.f32 (log.f32 alpha) 4))
(.f32 (.f32 (log.f32 alpha) 1/4) 4)
(.f32 1/8 (.f32 (log.f32 alpha) 8))
(/.f32 (log.f32 alpha) 1)
(/.f32 (*.f32 (log.f32 alpha) 2) 2)
(/.f32 (*.f32 (log.f32 alpha) 4) 4)
(/.f32 (*.f32 (log.f32 alpha) 8) 8)
(/.f32 (log.f32 (pow.f32 alpha 16)) 16)
(/.f32 (*.f32 2 (log.f32 (pow.f32 alpha 16))) 32)
(/.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 alpha 16)))) 64)
(/.f32 (.f32 2 (.f32 2 (*.f32 2 (log.f32 (pow.f32 alpha 16))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (log.f32 (pow.f32 alpha 16))))) (.f32 2 (.f32 2 (.f32 2 (log.f32 (pow.f32 alpha 16)))))) 256)
(pow.f32 (log.f32 alpha) 1)

Outputs
(*.f32 -1 (log.f32 (/.f32 1 alpha)))
(neg.f32 (log.f32 (/.f32 1 alpha)))
(*.f32 -1 (log.f32 (/.f32 1 alpha)))
(neg.f32 (log.f32 (/.f32 1 alpha)))
(*.f32 -1 (log.f32 (/.f32 1 alpha)))
(neg.f32 (log.f32 (/.f32 1 alpha)))
(*.f32 -1 (log.f32 (/.f32 1 alpha)))
(neg.f32 (log.f32 (/.f32 1 alpha)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))
(+.f32 (log.f32 alpha) 0)
(log.f32 alpha)
(+.f32 0 (log.f32 alpha))
(log.f32 alpha)
(+.f32 (log.f32 (sqrt.f32 alpha)) (log.f32 (sqrt.f32 alpha)))
(log.f32 alpha)
(-.f32 (log.f32 alpha) 0)
(log.f32 alpha)
(*.f32 (log.f32 alpha) 1)
(log.f32 alpha)
(*.f32 1 (log.f32 alpha))
(log.f32 alpha)
(*.f32 2 (log.f32 (sqrt.f32 alpha)))
(log.f32 alpha)
(.f32 (.f32 (log.f32 alpha) 2) 1/2)
(log.f32 alpha)
(.f32 4 (.f32 (log.f32 alpha) 1/4))
(log.f32 alpha)
(.f32 (.f32 (log.f32 alpha) 4) 1/4)
(log.f32 alpha)
(.f32 8 (.f32 1/8 (log.f32 alpha)))
(log.f32 alpha)
(.f32 (.f32 (log.f32 alpha) 8) 1/8)
(log.f32 alpha)
(.f32 1/2 (.f32 (log.f32 alpha) 2))
(log.f32 alpha)
(*.f32 (log.f32 (sqrt.f32 alpha)) 2)
(log.f32 alpha)
(.f32 1/4 (.f32 (log.f32 alpha) 4))
(log.f32 alpha)
(.f32 (.f32 (log.f32 alpha) 1/4) 4)
(log.f32 alpha)
(.f32 1/8 (.f32 (log.f32 alpha) 8))
(log.f32 alpha)
(/.f32 (log.f32 alpha) 1)
(log.f32 alpha)
(/.f32 (*.f32 (log.f32 alpha) 2) 2)
(log.f32 alpha)
(/.f32 (*.f32 (log.f32 alpha) 4) 4)
(log.f32 alpha)
(/.f32 (*.f32 (log.f32 alpha) 8) 8)
(log.f32 alpha)
(/.f32 (log.f32 (pow.f32 alpha 16)) 16)
(/.f32 (*.f32 2 (log.f32 (pow.f32 alpha 16))) 32)
(*.f32 (log.f32 (pow.f32 alpha 16)) 1/16)
(*.f32 16 (log.f32 (pow.f32 alpha 1/16)))
(log.f32 (sqrt.f32 (pow.f32 alpha 2)))
(log.f32 (pow.f32 (sqrt.f32 alpha) 2))
(/.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 alpha 16)))) 64)
(*.f32 (log.f32 (pow.f32 alpha 16)) 1/16)
(*.f32 16 (log.f32 (pow.f32 alpha 1/16)))
(log.f32 (sqrt.f32 (pow.f32 alpha 2)))
(log.f32 (pow.f32 (sqrt.f32 alpha) 2))
(/.f32 (.f32 2 (.f32 2 (*.f32 2 (log.f32 (pow.f32 alpha 16))))) 128)
(*.f32 (log.f32 (pow.f32 alpha 16)) 1/16)
(*.f32 16 (log.f32 (pow.f32 alpha 1/16)))
(log.f32 (sqrt.f32 (pow.f32 alpha 2)))
(log.f32 (pow.f32 (sqrt.f32 alpha) 2))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (log.f32 (pow.f32 alpha 16))))) (.f32 2 (.f32 2 (.f32 2 (log.f32 (pow.f32 alpha 16)))))) 256)
(*.f32 (log.f32 (pow.f32 alpha 16)) 1/16)
(*.f32 16 (log.f32 (pow.f32 alpha 1/16)))
(log.f32 (sqrt.f32 (pow.f32 alpha 2)))
(log.f32 (pow.f32 (sqrt.f32 alpha) 2))
(pow.f32 (log.f32 alpha) 1)
(log.f32 alpha)

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
✓	0.1b	(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
✓	0.2b	(/.f32 -1/2 (+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))
✓	0.4b	(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))

Compiler

Compiled 74 to 34 computations (54.1% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))
0.0ms	alpha	@	-inf	(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))
0.0ms	alpha	@	inf	(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))
0.0ms	alpha	@	inf	(+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
0.0ms	alpha	@	-inf	(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`rational.json-simplify-35`
1026×	`rational.json-1`
1026×	`rational.json-2`
1026×	`rational.json-3`
1014×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	108	104
2	225	92
3	511	84
4	1123	80
5	3218	80

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

Inputs
(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))
(/.f32 -1/2 (+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (-.f32 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -1/2)) (.f32 (log.f32 alpha) (.f32 (PI.f32) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -1 (-.f32 -1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (log.f32 alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -1/2)) (/.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 alpha) (PI.f32)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4)))) (.f32 2 (.f32 2 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (log.f32 alpha) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 alpha (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (sqrt.f32 (pow.f32 alpha (*.f32 (PI.f32) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/4 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (/.f32 1/4 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 alpha) (/.f32 (.f32 (PI.f32) -2) (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (PI.f32)) (/.f32 (.f32 (log.f32 alpha) 2) (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) (/.f32 2 (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 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(#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))) (.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log.f32 alpha) (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))) (.f32 (PI.f32) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))) (.f32 (log.f32 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (neg.f32 (PI.f32)) (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))) (.f32 (log.f32 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))) (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -2 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 -1 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 -1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (PI.f32)) (neg.f32 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(.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (pow.f32 (pow.f32 alpha (neg.f32 (PI.f32))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha -1) (.f32 (PI.f32) 1/2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) 1/2) (log.f32 (pow.f32 (pow.f32 alpha -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) 2) (log.f32 (pow.f32 (pow.f32 alpha -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) 2) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha -1) 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) -2) (log.f32 (pow.f32 alpha -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (.f32 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alpha))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))))

simplify216.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational.json-simplify-35`
1220×	`rational.json-simplify-2`
962×	`exponential.json-simplify-29`
786×	`rational.json-simplify-61`
558×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	312	5884
1	760	5594
2	2756	5112
3	7466	5108

Stop Event

1×	node limit

Counts

212 → 235

Calls

Call 1

Inputs
(.f32 -1 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))
(*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))
(*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))
(*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))
(.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(/.f32 -1/2 (.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
(-.f32 1 (.f32 -1 (.f32 (log.f32 alpha) (PI.f32))))
(-.f32 1 (.f32 -1 (.f32 (log.f32 alpha) (PI.f32))))
(-.f32 1 (.f32 -1 (.f32 (log.f32 alpha) (PI.f32))))
(-.f32 1 (.f32 -1 (.f32 (log.f32 alpha) (PI.f32))))
(-.f32 1 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(-.f32 1 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(-.f32 1 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(-.f32 1 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(-.f32 1 (.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(-.f32 1 (.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(-.f32 1 (.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(-.f32 1 (.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 -1 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32))
(+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 0)
(+.f32 -1 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1))
(+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (PI.f32))))
(+.f32 1 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))
(+.f32 0 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 -2 (-.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1) -1))
(+.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1) 1)
(+.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1) -1)
(+.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -1/2)) (.f32 (log.f32 alpha) (.f32 (PI.f32) -1/2)))
(-.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 0)
(-.f32 -1 (-.f32 -1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(-.f32 1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(-.f32 0 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))))
(-.f32 0 (*.f32 (log.f32 alpha) (PI.f32)))
(-.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1) -1)
(-.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1) 1)
(-.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -1/2)) (/.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2))
(-.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2) -2)
(/.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1)
(/.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) -1)
(/.f32 (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) -2)) -2)
(/.f32 (.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4) -4)
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -2)) 2)
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4)) 4)
(/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8) -8)
(/.f32 (*.f32 (log.f32 alpha) (PI.f32)) -1)
(/.f32 (.f32 2 (.f32 (log.f32 alpha) (*.f32 (PI.f32) -4))) 8)
(/.f32 (.f32 2 (.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8)) -16)
(/.f32 (/.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2) -1/2)
(/.f32 (.f32 2 (.f32 2 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4)))) (.f32 2 (.f32 2 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))) 32)
(pow.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1)
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))))
(neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))
(log.f32 (pow.f32 alpha (neg.f32 (PI.f32))))
(log.f32 (sqrt.f32 (pow.f32 alpha (*.f32 (PI.f32) -2))))
(+.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32))) 0)
(+.f32 0 (/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32))))
(+.f32 (/.f32 1/4 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) (/.f32 1/4 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(-.f32 (/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32))) 0)
(.f32 (log.f32 alpha) (/.f32 (.f32 (PI.f32) -2) (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))))
(.f32 (neg.f32 (PI.f32)) (/.f32 (.f32 (log.f32 alpha) 2) (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))))
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(*.f32 (/.f32 (/.f32 -1 (PI.f32)) (log.f32 alpha)) 1/2)
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(*.f32 (/.f32 (/.f32 (/.f32 -1 (PI.f32)) (log.f32 alpha)) 8) 4)
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(.f32 4 (/.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4))
(.f32 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1) -1)
(.f32 1/2 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 2))
(.f32 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4) 1/4)
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(.f32 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1/2) 2)
(.f32 (/.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4) 4)
(/.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1)
(/.f32 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 2) 2)
(/.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1) -1)
(/.f32 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4) 4)
(/.f32 (.f32 2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)) -2)
(/.f32 (.f32 2 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))) -4)
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4))) 16)
(/.f32 (neg.f32 (.f32 2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))) 2)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4))) (.f32 2 (.f32 2 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4)))) 32)
(/.f32 (+.f32 (neg.f32 (.f32 2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))) (neg.f32 (.f32 2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)))) 4)
(pow.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1)
(neg.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))
(-.f32 -1 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))
(-.f32 1 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1))
(-.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1)
(-.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 0)
(-.f32 0 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(-.f32 -2 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2))
(-.f32 (-.f32 -1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) -1)
(*.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha -2) -1/2)))
(*.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha -1) -1)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha)))
(*.f32 (neg.f32 (PI.f32)) (log.f32 (pow.f32 (pow.f32 alpha 2) -1/2)))
(.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)
(.f32 -1/2 (.f32 (log.f32 alpha) (*.f32 (PI.f32) -2)))
(.f32 -1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
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(*.f32 1 (log.f32 (pow.f32 (pow.f32 alpha (neg.f32 (PI.f32))) -1)))
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(.f32 (.f32 (neg.f32 (PI.f32)) (*.f32 (log.f32 alpha) -2)) 1/2)
(.f32 2 (/.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2))
(*.f32 2 (log.f32 (pow.f32 (pow.f32 alpha (neg.f32 (PI.f32))) -1/2)))
(.f32 2 (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha -1) (.f32 (PI.f32) 1/2)) -1)))
(.f32 (.f32 (PI.f32) 1/2) (log.f32 (pow.f32 (pow.f32 alpha -2) -1)))
(.f32 (.f32 (PI.f32) 2) (log.f32 (pow.f32 (pow.f32 alpha -1) -1/2)))
(.f32 (.f32 (PI.f32) 2) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha -1) 1/2) -1)))
(*.f32 -2 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) -1/2)))
(.f32 (.f32 (PI.f32) -2) (log.f32 (pow.f32 alpha -1/2)))
(.f32 (.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4) 1/4)
(.f32 4 (/.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 4))
(.f32 1/2 (.f32 (neg.f32 (PI.f32)) (*.f32 (log.f32 alpha) -2)))
(.f32 1/2 (log.f32 (pow.f32 (pow.f32 alpha (.f32 (PI.f32) -2)) -1)))
(.f32 (.f32 (log.f32 alpha) (*.f32 (PI.f32) -2)) -1/2)
(.f32 (.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8) 1/8)
(.f32 (/.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2) 2)
(.f32 1/4 (.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4))
(.f32 (.f32 (PI.f32) -1/2) (*.f32 (log.f32 alpha) -2))
(.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 4) 4)
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(/.f32 (.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4) 4)
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -2)) -2)
(/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8) 8)
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(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8))) 32)
(pow.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 1)
(neg.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))

Outputs
(.f32 -1 (.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))
(.f32 -1 (.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))
(.f32 -1 (.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))
(.f32 -1 (.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 (log.f32 alpha)))
(*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))
(*.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))
(*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))
(*.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))
(*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))
(*.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))
(*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))
(*.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))
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(.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha)))) (neg.f32 (PI.f32)))
(*.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
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(*.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha)))) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
(.f32 -1 (.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 alpha)))) (PI.f32)))
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(*.f32 (PI.f32) (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 alpha))))))
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(/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32))
(/.f32 1/2 (*.f32 (log.f32 (/.f32 1 alpha)) (PI.f32)))
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(/.f32 -1/2 (.f32 (PI.f32) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 alpha))))))
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(/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32))
(neg.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) -2)) (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (.f32 (PI.f32) -4))))))
(neg.f32 (/.f32 (.f32 (log.f32 alpha) (.f32 -2 (neg.f32 (PI.f32)))) (.f32 (log.f32 alpha) (.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -4)) (neg.f32 (PI.f32))))))
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) 2)) (.f32 (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) -4) (log.f32 alpha))) (/.f32 (PI.f32) 1)))
(.f32 (.f32 (log.f32 alpha) -2) (neg.f32 (/.f32 (/.f32 -1/4 (*.f32 (log.f32 alpha) (PI.f32))) (log.f32 alpha))))
(/.f32 (neg.f32 (.f32 (log.f32 alpha) -2)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (.f32 (log.f32 alpha) -4))))
(neg.f32 (/.f32 1/2 (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32))
(+.f32 -1 (neg.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2)))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 1 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 0)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 1)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 0 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 -2 (-.f32 (neg.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2)) -1))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (neg.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2)) -1)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1/2) (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1/2))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 -1 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 1 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 2 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1/2))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 2) 1/2)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 4 (/.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1) -1)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 1/2 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 2))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4) 1/4)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 1/4 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1/2) 2)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 (/.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4) 4)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 2) 2)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1) -1)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4) 4)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (.f32 2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)) -2)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (.f32 2 (.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4)) 8)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))) -4)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4))) 16)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (neg.f32 (.f32 2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))) 2)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4))) (.f32 2 (.f32 2 (.f32 (-.f32 1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 4)))) 32)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (+.f32 (neg.f32 (.f32 2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))) (neg.f32 (.f32 2 (+.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)))) 4)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1)
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(neg.f32 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))
(-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(+.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))
(-.f32 -1 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1))
(*.f32 (log.f32 alpha) (PI.f32))
(-.f32 1 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) 1))
(*.f32 (log.f32 alpha) (PI.f32))
(-.f32 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) 1)
(*.f32 (log.f32 alpha) (PI.f32))
(-.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 0)
(*.f32 (log.f32 alpha) (PI.f32))
(-.f32 0 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(*.f32 (log.f32 alpha) (PI.f32))
(-.f32 -2 (+.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2))
(*.f32 (log.f32 alpha) (PI.f32))
(-.f32 (-.f32 -1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) -1)
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha -2) -1/2)))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha -1) -1)))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha)))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (neg.f32 (PI.f32)) (log.f32 (pow.f32 (pow.f32 alpha 2) -1/2)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 -1/2 (.f32 (log.f32 alpha) (*.f32 (PI.f32) -2)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 -1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 1 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 1 (log.f32 (pow.f32 (pow.f32 alpha (.f32 (PI.f32) -2)) -1/2)))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 1 (log.f32 (pow.f32 (pow.f32 alpha (neg.f32 (PI.f32))) -1)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 1)
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (neg.f32 (PI.f32)) (*.f32 (log.f32 alpha) -2)) 1/2)
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 2 (/.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 2 (log.f32 (pow.f32 (pow.f32 alpha (neg.f32 (PI.f32))) -1/2)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 2 (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha -1) (.f32 (PI.f32) 1/2)) -1)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (PI.f32) 1/2) (log.f32 (pow.f32 (pow.f32 alpha -2) -1)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (PI.f32) 2) (log.f32 (pow.f32 (pow.f32 alpha -1) -1/2)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (PI.f32) 2) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha -1) 1/2) -1)))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 -2 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) -1/2)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (PI.f32) -2) (log.f32 (pow.f32 alpha -1/2)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4) 1/4)
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 4 (/.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 4))
(.f32 4 (.f32 (neg.f32 (log.f32 alpha)) (/.f32 (neg.f32 (PI.f32)) 4)))
(.f32 4 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) 1/4))
(.f32 4 (.f32 (PI.f32) (/.f32 (log.f32 alpha) 4)))
(.f32 1/2 (.f32 (neg.f32 (PI.f32)) (*.f32 (log.f32 alpha) -2)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 1/2 (log.f32 (pow.f32 (pow.f32 alpha (.f32 (PI.f32) -2)) -1)))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (log.f32 alpha) (*.f32 (PI.f32) -2)) -1/2)
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8) 1/8)
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (/.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -2) 2)
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 1/4 (.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (.f32 (PI.f32) -1/2) (*.f32 (log.f32 alpha) -2))
(*.f32 (log.f32 alpha) (PI.f32))
(.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 4) 4)
(.f32 4 (.f32 (neg.f32 (log.f32 alpha)) (/.f32 (neg.f32 (PI.f32)) 4)))
(.f32 4 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) 1/4))
(.f32 4 (.f32 (PI.f32) (/.f32 (log.f32 alpha) 4)))
(.f32 1/8 (.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8))
(*.f32 (log.f32 alpha) (PI.f32))
(/.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -1)
(*.f32 (log.f32 alpha) (PI.f32))
(/.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 1)
(*.f32 (log.f32 alpha) (PI.f32))
(/.f32 (.f32 (neg.f32 (PI.f32)) (.f32 (log.f32 alpha) -2)) 2)
(*.f32 (log.f32 alpha) (PI.f32))
(/.f32 (.f32 (.f32 (log.f32 alpha) (neg.f32 (PI.f32))) -4) 4)
(*.f32 (log.f32 alpha) (PI.f32))
(/.f32 (.f32 (log.f32 alpha) (.f32 (PI.f32) -2)) -2)
(*.f32 (log.f32 alpha) (PI.f32))
(/.f32 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8) 8)
(*.f32 (log.f32 alpha) (PI.f32))
(/.f32 (.f32 2 (.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8)) 16)
(*.f32 (log.f32 alpha) (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 8))) 32)
(*.f32 (log.f32 alpha) (PI.f32))
(pow.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (log.f32 alpha))) 1)
(*.f32 (log.f32 alpha) (PI.f32))
(neg.f32 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))
(*.f32 (log.f32 alpha) (PI.f32))

localize346.0ms (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (*.f32 alpha alpha) -1)
	0.1b	(log.f32 (*.f32 alpha alpha))
✓	0.3b	(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))
✓	0.5b	(/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))

Compiler

Compiled 79 to 33 computations (58.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))
0.0ms	alpha	@	0	(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))
0.0ms	alpha	@	-inf	(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))
0.0ms	alpha	@	0	(/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))
0.0ms	alpha	@	inf	(/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))

rewrite526.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`rational.json-1`
1988×	`rational.json-2`
1988×	`rational.json-3`
1976×	`rational.json-4`
798×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	112	79
2	316	79
3	1111	79
4	5259	79

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (/.f32 2 (*.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) (*.f32 (PI.f32) (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) (/.f32 1 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 (/.f32 1/2 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (PI.f32)) (/.f32 (/.f32 (+.f32 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2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (/.f32 1 (*.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) (*.f32 (PI.f32) (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (PI.f32)) 4) (/.f32 1 (*.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 alpha alpha) -1) (*.f32 (log.f32 (*.f32 alpha alpha)) 1/2)) (/.f32 1 (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) (/.f32 1 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 -1 (-.f32 1 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 2) (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 2) (*.f32 1/2 (/.f32 -1 (-.f32 1 (*.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 2) (*.f32 (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) 4) (/.f32 1 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log.f32 (*.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (-.f32 1 (*.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (log.f32 (*.f32 alpha alpha))) (/.f32 1 (-.f32 1 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 -1 (-.f32 1 (*.f32 alpha alpha)))) (*.f32 (log.f32 (*.f32 alpha alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)) (*.f32 (log.f32 (*.f32 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 -1 (-.f32 1 (*.f32 alpha alpha)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 alpha alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 alpha alpha) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (*.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 alpha alpha) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 alpha alpha) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 alpha alpha) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (*.f32 alpha alpha) -1) 1)))))

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational.json-simplify-35`
960×	`rational.json-simplify-1`
832×	`rational.json-simplify-43`
790×	`rational.json-simplify-46`
760×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	4225
1	586	4125
2	1540	4059
3	4277	4053
4	6541	4053

Stop Event

1×	node limit

Counts

113 → 166

Calls

Call 1

Inputs
(/.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 (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 -2 (log.f32 alpha))
(+.f32 (.f32 -2 (log.f32 alpha)) (.f32 -2 (*.f32 (log.f32 alpha) (pow.f32 alpha 2))))
(+.f32 (.f32 -2 (.f32 (log.f32 alpha) (pow.f32 alpha 4))) (+.f32 (.f32 -2 (log.f32 alpha)) (.f32 -2 (*.f32 (log.f32 alpha) (pow.f32 alpha 2)))))
(+.f32 (.f32 -2 (.f32 (log.f32 alpha) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (.f32 (log.f32 alpha) (pow.f32 alpha 4))) (+.f32 (.f32 -2 (log.f32 alpha)) (.f32 -2 (*.f32 (log.f32 alpha) (pow.f32 alpha 2))))))
(*.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2)))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))) (*.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 8))) (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))))))
(*.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2)))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (*.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 8))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))))))
-1
(-.f32 (pow.f32 alpha 2) 1)
(-.f32 (pow.f32 alpha 2) 1)
(-.f32 (pow.f32 alpha 2) 1)
(pow.f32 alpha 2)
(-.f32 (pow.f32 alpha 2) 1)
(-.f32 (pow.f32 alpha 2) 1)
(-.f32 (pow.f32 alpha 2) 1)
(pow.f32 alpha 2)
(-.f32 (pow.f32 alpha 2) 1)
(-.f32 (pow.f32 alpha 2) 1)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (PI.f32) (/.f32 2 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (.f32 (PI.f32) 2)))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(.f32 -1 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha)))))
(.f32 -1 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (neg.f32 (PI.f32))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1)
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1))
(.f32 (/.f32 2 (PI.f32)) (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 2))
(.f32 (/.f32 2 (PI.f32)) (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 2) 1))
(.f32 (/.f32 2 (PI.f32)) (.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))
(.f32 2 (/.f32 (/.f32 1 (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (*.f32 (PI.f32) 2))))
(.f32 2 (/.f32 (PI.f32) (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (.f32 (PI.f32) 2)))))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
(.f32 (.f32 (PI.f32) 2) (/.f32 1 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (*.f32 (PI.f32) 2)))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))
(.f32 (.f32 (/.f32 1 (PI.f32)) 4) (/.f32 1 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 4)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 1/2)) (/.f32 1 (*.f32 (PI.f32) 2)))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 4))))
(.f32 1/2 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 -1 (PI.f32)) (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (/.f32 -1 (PI.f32)))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (neg.f32 (log.f32 (.f32 alpha alpha))) (PI.f32))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1 (/.f32 -1 (-.f32 1 (.f32 alpha alpha)))))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 1 (.f32 (PI.f32) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))
(.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2)
(.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 2) (/.f32 2 (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 (/.f32 2 (PI.f32)) (PI.f32)) (/.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(+.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 0)
(+.f32 0 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))
(-.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 0)
(.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -1 (-.f32 1 (*.f32 alpha alpha))))
(.f32 -1 (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha))))
(.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 1)
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 1/2 (+.f32 (.f32 alpha alpha) -1)))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (.f32 1/2 (/.f32 -1 (-.f32 1 (*.f32 alpha alpha)))))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (.f32 (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)) 1))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1))) 1/2)
(.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 1/2 (+.f32 (.f32 alpha alpha) -1))))
(.f32 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 4) 1/4)
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4) (/.f32 1 (.f32 (+.f32 (*.f32 alpha alpha) -1) 4)))
(.f32 1/2 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1))))
(.f32 (/.f32 -1 (-.f32 1 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))
(.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha))) -1)
(.f32 (neg.f32 (log.f32 (.f32 alpha alpha))) (/.f32 1 (-.f32 1 (*.f32 alpha alpha))))
(.f32 (.f32 2 (/.f32 -1 (-.f32 1 (.f32 alpha alpha)))) (.f32 (log.f32 (*.f32 alpha alpha)) 1/2))
(.f32 (/.f32 1/2 (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) 2))
(pow.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 1)
(neg.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (.f32 alpha alpha))))
(log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 -1 (-.f32 1 (.f32 alpha alpha)))))
(-.f32 (*.f32 alpha alpha) 1)
(-.f32 (+.f32 (*.f32 alpha alpha) -1) 0)
(.f32 1 (+.f32 (.f32 alpha alpha) -1))
(.f32 (+.f32 (.f32 alpha alpha) -1) 1)
(.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) 2) 1/2)
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) 2))
(.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(/.f32 (+.f32 (*.f32 alpha alpha) -1) 1)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) 2)
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (*.f32 alpha alpha) -1) 4)) 8)
(pow.f32 (+.f32 (*.f32 alpha alpha) -1) 1)

Outputs
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 (/.f32 -1/2 (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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (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 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (*.f32 (log.f32 alpha) (PI.f32)))))
(*.f32 1/2 (-.f32 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32)) (/.f32 (/.f32 1 (PI.f32)) (log.f32 alpha))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32)))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 -1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 -1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 -1 alpha)))))
(*.f32 -2 (log.f32 alpha))
(*.f32 (log.f32 alpha) -2)
(+.f32 (.f32 -2 (log.f32 alpha)) (.f32 -2 (*.f32 (log.f32 alpha) (pow.f32 alpha 2))))
(+.f32 (.f32 (log.f32 alpha) -2) (.f32 (log.f32 alpha) (*.f32 (pow.f32 alpha 2) -2)))
(.f32 (log.f32 alpha) (+.f32 -2 (.f32 (pow.f32 alpha 2) -2)))
(+.f32 (.f32 -2 (.f32 (log.f32 alpha) (pow.f32 alpha 4))) (+.f32 (.f32 -2 (log.f32 alpha)) (.f32 -2 (*.f32 (log.f32 alpha) (pow.f32 alpha 2)))))
(+.f32 (.f32 (log.f32 alpha) -2) (+.f32 (.f32 (log.f32 alpha) (.f32 (pow.f32 alpha 2) -2)) (.f32 -2 (*.f32 (log.f32 alpha) (pow.f32 alpha 4)))))
(+.f32 (.f32 (log.f32 alpha) (+.f32 -2 (.f32 (pow.f32 alpha 2) -2))) (.f32 (log.f32 alpha) (.f32 -2 (pow.f32 alpha 4))))
(.f32 -2 (+.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (+.f32 (pow.f32 alpha 2) (pow.f32 alpha 4)))))
(+.f32 (.f32 -2 (.f32 (log.f32 alpha) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (.f32 (log.f32 alpha) (pow.f32 alpha 4))) (+.f32 (.f32 -2 (log.f32 alpha)) (.f32 -2 (*.f32 (log.f32 alpha) (pow.f32 alpha 2))))))
(+.f32 (.f32 -2 (.f32 (log.f32 alpha) (pow.f32 alpha 4))) (+.f32 (+.f32 (.f32 (log.f32 alpha) -2) (.f32 (log.f32 alpha) (.f32 (pow.f32 alpha 2) -2))) (.f32 (log.f32 alpha) (*.f32 (pow.f32 alpha 6) -2))))
(+.f32 (.f32 (log.f32 alpha) (+.f32 -2 (.f32 (pow.f32 alpha 2) -2))) (+.f32 (.f32 (log.f32 alpha) (.f32 -2 (pow.f32 alpha 6))) (.f32 (log.f32 alpha) (.f32 -2 (pow.f32 alpha 4)))))
(+.f32 (.f32 -2 (+.f32 (log.f32 alpha) (.f32 (log.f32 alpha) (+.f32 (pow.f32 alpha 2) (pow.f32 alpha 4))))) (.f32 (log.f32 alpha) (.f32 -2 (pow.f32 alpha 6))))
(+.f32 (.f32 (log.f32 alpha) -2) (.f32 -2 (+.f32 (.f32 (log.f32 alpha) (pow.f32 alpha 6)) (.f32 (log.f32 alpha) (+.f32 (pow.f32 alpha 2) (pow.f32 alpha 4))))))
(*.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2)))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))))
(*.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4)) (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))))
(*.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2)) (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))) (*.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))) (*.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6)) (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4)))))
(*.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2)) (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4)) (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 8))) (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 8))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))) (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))))))
(+.f32 (.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 8)) (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4)))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))) (*.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 8)) (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4)) (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4)) (+.f32 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6)) (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 8))))))
(*.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2)))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))))
(*.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)) (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))))
(*.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2)) (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (*.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))) (*.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6)) (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)))))
(*.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6)) (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2)) (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)))))
(*.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2)) (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)) (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 8))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))) (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 8))))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 8)) (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)))) (*.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6)))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6))) (.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2)) (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)) (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 8))))))
(+.f32 (.f32 -2 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (.f32 -2 (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)) (+.f32 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6)) (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 8))))))
-1
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(pow.f32 alpha 2)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(pow.f32 alpha 2)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(-.f32 (pow.f32 alpha 2) 1)
(+.f32 (pow.f32 alpha 2) -1)
(+.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 0 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(-.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 0)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 1 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (PI.f32) (/.f32 2 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (.f32 (PI.f32) 2)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 -1 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha)))))
(neg.f32 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (.f32 alpha alpha)))))
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 -1 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha)))))
(neg.f32 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (.f32 alpha alpha)))))
(neg.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (/.f32 1/2 (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1/2 (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 1))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 2 (PI.f32)) (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 2))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 2 (PI.f32)) (.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 2) 1))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 2 (PI.f32)) (.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 2 (/.f32 (/.f32 1 (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) (*.f32 (PI.f32) 2))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 2 (/.f32 (PI.f32) (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (.f32 (PI.f32) 2)))))
(.f32 2 (/.f32 (PI.f32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) 2) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))))))
(.f32 2 (/.f32 (/.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))) (.f32 (PI.f32) (*.f32 (PI.f32) 2))))
(.f32 2 (/.f32 (/.f32 (PI.f32) (.f32 (PI.f32) 2)) (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (*.f32 alpha alpha))))))
(.f32 (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) (.f32 (PI.f32) 2))) (.f32 (PI.f32) 2))
(.f32 2 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) 2))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (PI.f32) 2) (/.f32 1 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (*.f32 (PI.f32) 2)))))
(.f32 2 (/.f32 (PI.f32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) 2) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))))))
(.f32 2 (/.f32 (/.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))) (.f32 (PI.f32) (*.f32 (PI.f32) 2))))
(.f32 2 (/.f32 (/.f32 (PI.f32) (.f32 (PI.f32) 2)) (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (*.f32 alpha alpha))))))
(.f32 (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (.f32 (PI.f32) (.f32 (PI.f32) 2))) (.f32 (PI.f32) 2))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) (/.f32 1 (PI.f32)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (/.f32 1 (PI.f32)) 4) (/.f32 1 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 4)))
(.f32 (.f32 4 (/.f32 1 (PI.f32))) (/.f32 1 (.f32 4 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (*.f32 alpha alpha))))))
(.f32 4 (.f32 (/.f32 1 (PI.f32)) (/.f32 1/4 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha))))))
(.f32 4 (.f32 (/.f32 1 (PI.f32)) (/.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (log.f32 (.f32 alpha alpha)) 1/4))))
(.f32 4 (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (/.f32 (log.f32 (*.f32 alpha alpha)) 1/4)) (PI.f32)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 1/2)) (/.f32 1 (*.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (PI.f32) 4))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 1/2 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 -1 (PI.f32)) (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))) (/.f32 -1 (PI.f32)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (.f32 (neg.f32 (log.f32 (.f32 alpha alpha))) (PI.f32))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (neg.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1 (/.f32 -1 (-.f32 1 (.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 1 (.f32 (PI.f32) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (/.f32 1 (PI.f32)) (/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 -1 (*.f32 alpha alpha)) (/.f32 2 (/.f32 1 (PI.f32)))))
(.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 1/2 (/.f32 (PI.f32) (+.f32 -1 (*.f32 alpha alpha)))))
(/.f32 (/.f32 1/2 (/.f32 (PI.f32) (+.f32 -1 (.f32 alpha alpha)))) (/.f32 (log.f32 (.f32 alpha alpha)) 2))
(/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) 2)) (/.f32 (log.f32 (*.f32 alpha alpha)) 2))
(.f32 (/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1/2)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (.f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 2 (PI.f32))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 2) (/.f32 2 (PI.f32)))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 1 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 2 (PI.f32)) (PI.f32)) (/.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))
(.f32 (/.f32 2 (.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 -1 (*.f32 alpha alpha))))))
(.f32 (/.f32 2 (.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))))))
(.f32 (/.f32 2 (.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (*.f32 alpha alpha))))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(pow.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) 1)
(/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))
(+.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 0)
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(+.f32 0 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(-.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 0)
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -1 (-.f32 1 (*.f32 alpha alpha))))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 -1 (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha))))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (*.f32 alpha alpha) -1)) 1)
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (/.f32 1/2 (+.f32 (.f32 alpha alpha) -1)))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (.f32 1/2 (/.f32 -1 (-.f32 1 (*.f32 alpha alpha)))))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 2) (.f32 (/.f32 1/2 (+.f32 (*.f32 alpha alpha) -1)) 1))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1))) 1/2)
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 1/2 (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 4) 1/4)
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4) (/.f32 1 (.f32 (+.f32 (*.f32 alpha alpha) -1) 4)))
(.f32 (.f32 4 (log.f32 (.f32 alpha alpha))) (/.f32 1 (.f32 4 (+.f32 -1 (*.f32 alpha alpha)))))
(.f32 4 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -1/4 (-.f32 1 (.f32 alpha alpha)))))
(.f32 1/2 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1))))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (/.f32 -1 (-.f32 1 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (*.f32 alpha alpha))) -1)
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (neg.f32 (log.f32 (.f32 alpha alpha))) (/.f32 1 (-.f32 1 (*.f32 alpha alpha))))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (.f32 2 (/.f32 -1 (-.f32 1 (.f32 alpha alpha)))) (.f32 (log.f32 (*.f32 alpha alpha)) 1/2))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(.f32 (/.f32 1/2 (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) 2))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(pow.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 1)
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(neg.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (-.f32 1 (.f32 alpha alpha))))
(/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))
(log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 -1 (-.f32 1 (.f32 alpha alpha)))))
(log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 1 (+.f32 -1 (.f32 alpha alpha)))))
(-.f32 (*.f32 alpha alpha) 1)
(+.f32 -1 (*.f32 alpha alpha))
(-.f32 (+.f32 (*.f32 alpha alpha) -1) 0)
(+.f32 -1 (*.f32 alpha alpha))
(.f32 1 (+.f32 (.f32 alpha alpha) -1))
(+.f32 -1 (*.f32 alpha alpha))
(.f32 (+.f32 (.f32 alpha alpha) -1) 1)
(+.f32 -1 (*.f32 alpha alpha))
(.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) 2) 1/2)
(+.f32 -1 (*.f32 alpha alpha))
(.f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) 2))
(+.f32 -1 (*.f32 alpha alpha))
(.f32 (.f32 (+.f32 (*.f32 alpha alpha) -1) 4) 1/4)
(+.f32 -1 (*.f32 alpha alpha))
(.f32 1/2 (.f32 (+.f32 (*.f32 alpha alpha) -1) 2))
(+.f32 -1 (*.f32 alpha alpha))
(/.f32 (+.f32 (*.f32 alpha alpha) -1) 1)
(+.f32 -1 (*.f32 alpha alpha))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 2) 2)
(+.f32 -1 (*.f32 alpha alpha))
(/.f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) 4)
(+.f32 -1 (*.f32 alpha alpha))
(/.f32 (.f32 2 (.f32 (+.f32 (*.f32 alpha alpha) -1) 4)) 8)
(+.f32 -1 (*.f32 alpha alpha))
(pow.f32 (+.f32 (*.f32 alpha alpha) -1) 1)
(+.f32 -1 (*.f32 alpha alpha))

localize208.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 2 (+.f32 (*.f32 alpha alpha) -1))
✓	0.3b	(/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1))))
✓	0.4b	(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1)))
✓	0.5b	(.f32 (/.f32 2 (PI.f32)) (/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (.f32 alpha alpha) -1)))))

Compiler

Compiled 131 to 68 computations (48.1% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	inf	(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1)))
0.0ms	alpha	@	0	(/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1))))
0.0ms	alpha	@	0	(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1)))
0.0ms	alpha	@	-inf	(.f32 (log.f32 (.f32 alpha alpha)) (/.f32 2 (+.f32 (*.f32 alpha alpha) -1)))
0.0ms	alpha	@	inf	(/.f32 2 (+.f32 (*.f32 alpha alpha) -1))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`rational.json-1`
1772×	`rational.json-2`
1772×	`rational.json-3`
1750×	`rational.json-4`
1748×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	150
1	127	144
2	296	138
3	906	126
4	4200	126

Stop Event

1×	node limit

Counts

4 → 262

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (neg.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 alpha alpha) -1) (/.f32 1/2 (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (+.f32 (.f32 alpha alpha) -1)) (/.f32 1/4 (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (+.f32 (.f32 alpha alpha) -1)) (/.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 alpha alpha) -1) 4) (/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha)))) (/.f32 1 (.f32 2 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 1 (.f32 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (/.f32 1 (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) 2) (/.f32 -1 (log.f32 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/4 (log.f32 (.f32 alpha alpha))) (.f32 2 (+.f32 (.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (neg.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 2 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))) (.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4))) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) 1/8)) (.f32 2 (+.f32 (.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) 1/8)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) -1/2)) (-.f32 1 (.f32 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 1 (+.f32 (.f32 alpha alpha) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 -2 (-.f32 1 (.f32 alpha alpha)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (/.f32 -2 (-.f32 1 (.f32 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (+.f32 (.f32 alpha alpha) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) 1)))))

simplify211.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1360×	`rational.json-simplify-44`
1108×	`rational.json-simplify-61`
1078×	`rational.json-simplify-46`
1050×	`rational.json-simplify-47`
826×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	625	12506
1	2233	12256
2	6941	12226

Stop Event

1×	node limit

Counts

310 → 386

Calls

Call 1

Inputs
(/.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 (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 -4 (log.f32 alpha))
(+.f32 (.f32 -4 (log.f32 alpha)) (.f32 -4 (*.f32 (log.f32 alpha) (pow.f32 alpha 2))))
(+.f32 (.f32 -4 (log.f32 alpha)) (+.f32 (.f32 -4 (.f32 (log.f32 alpha) (pow.f32 alpha 2))) (.f32 -4 (*.f32 (log.f32 alpha) (pow.f32 alpha 4)))))
(+.f32 (.f32 -4 (log.f32 alpha)) (+.f32 (.f32 -4 (.f32 (log.f32 alpha) (pow.f32 alpha 6))) (+.f32 (.f32 -4 (.f32 (log.f32 alpha) (pow.f32 alpha 2))) (.f32 -4 (*.f32 (log.f32 alpha) (pow.f32 alpha 4))))))
(*.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2)))
(+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))) (.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))))
(+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))) (+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))) (*.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2)))))
(+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 8))) (+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 4))) (+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 6))) (.f32 -4 (/.f32 (log.f32 (/.f32 1 alpha)) (pow.f32 alpha 2))))))
(*.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2)))
(+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))))
(+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6))) (*.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4)))))
(+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 2))) (+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 6))) (+.f32 (.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 8))) (.f32 -4 (/.f32 (log.f32 (/.f32 -1 alpha)) (pow.f32 alpha 4))))))
(/.f32 -1/4 (log.f32 alpha))
(-.f32 (.f32 1/4 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/4 (/.f32 1 (log.f32 alpha))))
(-.f32 (.f32 1/4 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/4 (/.f32 1 (log.f32 alpha))))
(-.f32 (.f32 1/4 (/.f32 (pow.f32 alpha 2) (log.f32 alpha))) (.f32 1/4 (/.f32 1 (log.f32 alpha))))
(*.f32 -1/4 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha))))
(+.f32 (.f32 1/4 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/4 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 1/4 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/4 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(+.f32 (.f32 1/4 (/.f32 1 (log.f32 (/.f32 1 alpha)))) (.f32 -1/4 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/4 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha))))
(+.f32 (.f32 -1/4 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))) (.f32 1/4 (/.f32 1 (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 -1/4 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))) (.f32 1/4 (/.f32 1 (log.f32 (/.f32 -1 alpha)))))
(+.f32 (.f32 -1/4 (/.f32 (pow.f32 alpha 2) (log.f32 (/.f32 -1 alpha)))) (.f32 1/4 (/.f32 1 (log.f32 (/.f32 -1 alpha)))))
-2
(-.f32 (*.f32 -2 (pow.f32 alpha 2)) 2)
(-.f32 (+.f32 (.f32 -2 (pow.f32 alpha 2)) (.f32 -2 (pow.f32 alpha 4))) 2)
(-.f32 (+.f32 (.f32 -2 (pow.f32 alpha 6)) (+.f32 (.f32 -2 (pow.f32 alpha 2)) (*.f32 -2 (pow.f32 alpha 4)))) 2)
(/.f32 2 (pow.f32 alpha 2))
(+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 4))) (.f32 2 (/.f32 1 (pow.f32 alpha 2))))
(+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 6))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 4))) (*.f32 2 (/.f32 1 (pow.f32 alpha 2)))))
(+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 6))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 8))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 4))) (.f32 2 (/.f32 1 (pow.f32 alpha 2))))))
(/.f32 2 (pow.f32 alpha 2))
(+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 4))) (.f32 2 (/.f32 1 (pow.f32 alpha 2))))
(+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 6))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 4))) (*.f32 2 (/.f32 1 (pow.f32 alpha 2)))))
(+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 6))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 8))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 alpha 4))) (.f32 2 (/.f32 1 (pow.f32 alpha 2))))))
(+.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 0)
(+.f32 0 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))))
(-.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) 0)
(/.f32 2 (.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))))
(/.f32 2 (/.f32 (PI.f32) (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (*.f32 alpha alpha)))))
(/.f32 2 (+.f32 (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) (.f32 (PI.f32) 1/2))) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) (.f32 (PI.f32) 1/2)))))
(/.f32 2 (+.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32))) (/.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)))))
(/.f32 2 (/.f32 (.f32 2 (/.f32 -2 (-.f32 1 (.f32 alpha alpha)))) (/.f32 2 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))))))
(/.f32 2 (/.f32 (.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (*.f32 alpha alpha) -1) (PI.f32))))
(/.f32 (PI.f32) (.f32 (/.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (.f32 (PI.f32) 1/4))))
(/.f32 (/.f32 2 (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -2 (-.f32 1 (*.f32 alpha alpha)))))
(/.f32 1 (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) (*.f32 (PI.f32) 1/2))))
(/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32))))
(/.f32 -1 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -2 (-.f32 1 (.f32 alpha alpha)))) (neg.f32 (*.f32 (PI.f32) 1/2))))
(/.f32 -1 (.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -2 (-.f32 1 (*.f32 alpha alpha)))))))
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(/.f32 (neg.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha)))) (/.f32 -1 (log.f32 (.f32 alpha alpha))))
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(/.f32 (.f32 (log.f32 (.f32 alpha alpha)) 4) (.f32 4 (.f32 (-.f32 1 (*.f32 alpha alpha)) -1/2)))
(/.f32 (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))) (/.f32 (.f32 2 (log.f32 (.f32 alpha alpha))) (.f32 2 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))))))
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(/.f32 (+.f32 (/.f32 (log.f32 (.f32 alpha alpha)) -1/2) (/.f32 (log.f32 (.f32 alpha alpha)) -1/2)) (.f32 2 (-.f32 1 (.f32 alpha alpha))))
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(/.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) 1/2)
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(/.f32 (/.f32 8 (.f32 2 (+.f32 (.f32 alpha alpha) -1))) (.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha)))))
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(/.f32 (/.f32 (neg.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha)))) (/.f32 1 (log.f32 (.f32 alpha alpha)))) -1)
(/.f32 (neg.f32 (.f32 2 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))) (-.f32 0 (.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha))))))
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(pow.f32 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 -2 (-.f32 1 (*.f32 alpha alpha)))) 1)
(log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 -2 (-.f32 1 (.f32 alpha alpha)))))
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(.f32 -1 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (neg.f32 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))))))
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(.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 1)
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(.f32 (.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha)))) (/.f32 1 (.f32 2 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))))))
(.f32 1/2 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))))
(.f32 (-.f32 1 (.f32 alpha alpha)) (/.f32 1 (/.f32 (log.f32 (*.f32 alpha alpha)) -1/2)))
(.f32 (/.f32 -1 (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 1 (*.f32 alpha alpha)) 2))
(.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (/.f32 1 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 (-.f32 1 (.f32 alpha alpha)) 2) (/.f32 -1 (log.f32 (*.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (*.f32 alpha alpha))) 1/2)
(.f32 (/.f32 1/2 (log.f32 (.f32 alpha alpha))) (+.f32 (*.f32 alpha alpha) -1))
(.f32 (/.f32 1/4 (log.f32 (.f32 alpha alpha))) (.f32 2 (+.f32 (.f32 alpha alpha) -1)))
(.f32 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (neg.f32 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))))) -1)
(.f32 (/.f32 1 (.f32 2 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))) (.f32 2 (/.f32 1 (log.f32 (*.f32 alpha alpha)))))
(.f32 (/.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 2) 2)
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 4)) 2)
(.f32 (/.f32 1 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4))) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (/.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) 1/8)) (.f32 2 (+.f32 (.f32 alpha alpha) -1)))
(.f32 (/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) 1/8)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) -1/2)) (-.f32 1 (*.f32 alpha alpha)))
(pow.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (*.f32 alpha alpha))) 1)
(+.f32 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))) 0)
(+.f32 0 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))))
(-.f32 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))) 0)
(.f32 2 (/.f32 1 (+.f32 (.f32 alpha alpha) -1)))
(.f32 1 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))
(.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) 1)
(.f32 (.f32 2 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha)))) 1/2)
(.f32 1/2 (.f32 2 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha)))))
(.f32 (/.f32 1 (+.f32 (.f32 alpha alpha) -1)) 2)
(pow.f32 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))) 1)

Outputs
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 alpha)) (PI.f32))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 alpha)) (PI.f32))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 (/.f32 (pow.f32 alpha 2) (log.f32 alpha)) (PI.f32))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 alpha)) (PI.f32))))
(.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.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 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (PI.f32)) (log.f32 (/.f32 1 alpha)))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 (/.f32 -1 alpha)) (PI.f32))))
(.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha)))))
(*.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 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)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 alpha 2) (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (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 (PI.f32) (log.f32 (/.f32 -1 alpha))))) (.f32 1/2 (/.f32 1 (.f32 (PI.f32) (log.f32 (/.f32 -1 alpha))))))
(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (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)))))
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(+.f32 (.f32 -1/2 (/.f32 (/.f32 (pow.f32 alpha 2) (PI.f32)) (log.f32 (/.f32 -1 alpha)))) (.f32 1/2 (/.f32 (/.f32 1 (log.f32 (/.f32 -1 alpha))) (PI.f32))))
(*.f32 -4 (log.f32 alpha))
(*.f32 (log.f32 alpha) -4)
(+.f32 (.f32 -4 (log.f32 alpha)) (.f32 -4 (*.f32 (log.f32 alpha) (pow.f32 alpha 2))))
(+.f32 (.f32 (log.f32 alpha) -4) (.f32 (log.f32 alpha) (*.f32 (pow.f32 alpha 2) -4)))
(.f32 (log.f32 alpha) (+.f32 -4 (.f32 (pow.f32 alpha 2) -4)))
(+.f32 (.f32 -4 (log.f32 alpha)) (+.f32 (.f32 -4 (.f32 (log.f32 alpha) (pow.f32 alpha 2))) (.f32 -4 (*.f32 (log.f32 alpha) (pow.f32 alpha 4)))))
(+.f32 (.f32 (log.f32 alpha) (.f32 (pow.f32 alpha 2) -4)) (+.f32 (.f32 (log.f32 alpha) (.f32 (pow.f32 alpha 4) -4)) (*.f32 (log.f32 alpha) -4)))
(+.f32 (.f32 (log.f32 alpha) (.f32 (pow.f32 alpha 2) -4)) (.f32 (log.f32 alpha) (+.f32 -4 (.f32 -4 (pow.f32 alpha 4)))))
(+.f32 (.f32 -4 (log.f32 alpha)) (+.f32 (.f32 -4 (.f32 (log.f32 alpha) (pow.f32 alpha 6))) (+.f32 (.f32 -4 (.f32 (log.f32 alpha) (pow.f32 alpha 2))) (.f32 -4 (*.f32 (log.f32 alpha) (pow.f32 alpha 4))))))
(+.f32 (.f32 (log.f32 alpha) -4) (+.f32 (.f32 (log.f32 alpha) (.f32 (pow.f32 alpha 2) -4)) (+.f32 (.f32 (log.f32 alpha) (.f32 (pow.f32 alpha 4) -4)) (.f32 (log.f32 alpha) (*.f32 (pow.f32 alpha 6) -4)))))
(+.f32 (.f32 (log.f32 alpha) (.f32 (pow.f32 alpha 2) -4)) (+.f32 (.f32 (log.f32 alpha) (+.f32 -4 (.f32 -4 (pow.f32 alpha 4)))) (.f32 (log.f32 alpha) (.f32 -4 (pow.f32 alpha 6)))))
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(.f32 (/.f32 1 (.f32 2 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))) (.f32 2 (/.f32 1 (log.f32 (*.f32 alpha alpha)))))
(.f32 2 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 1/2 (/.f32 2 (+.f32 -1 (.f32 alpha alpha))))))
(.f32 2 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 -1 (.f32 alpha alpha)) 4)))
(.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (.f32 1/2 (+.f32 -1 (.f32 alpha alpha))))
(.f32 (/.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (.f32 alpha alpha))) 2) 2)
(.f32 -1/2 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (.f32 -1/2 (-.f32 1 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))
(.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (log.f32 (.f32 alpha alpha)) 4)) 2)
(.f32 -1/2 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (.f32 -1/2 (-.f32 1 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))
(.f32 (/.f32 1 (.f32 2 (.f32 (log.f32 (.f32 alpha alpha)) 4))) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (.f32 4 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1/2 (.f32 4 (log.f32 (*.f32 alpha alpha)))))
(.f32 4 (.f32 (/.f32 1/8 (log.f32 (.f32 alpha alpha))) (+.f32 -1 (.f32 alpha alpha))))
(.f32 (/.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) 1/8)) (.f32 2 (+.f32 (.f32 alpha alpha) -1)))
(.f32 (.f32 2 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1/4 (log.f32 (.f32 alpha alpha))))
(.f32 (/.f32 1/4 (log.f32 (.f32 alpha alpha))) (.f32 2 (+.f32 -1 (.f32 alpha alpha))))
(.f32 (/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) 1/8)) (.f32 (+.f32 (.f32 alpha alpha) -1) 4))
(.f32 (.f32 4 (+.f32 -1 (.f32 alpha alpha))) (/.f32 1/2 (.f32 4 (log.f32 (*.f32 alpha alpha)))))
(.f32 4 (.f32 (/.f32 1/8 (log.f32 (.f32 alpha alpha))) (+.f32 -1 (.f32 alpha alpha))))
(.f32 (/.f32 1 (/.f32 (log.f32 (.f32 alpha alpha)) -1/2)) (-.f32 1 (*.f32 alpha alpha)))
(.f32 -1/2 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (.f32 -1/2 (-.f32 1 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))
(pow.f32 (/.f32 (.f32 (-.f32 1 (.f32 alpha alpha)) -1/2) (log.f32 (*.f32 alpha alpha))) 1)
(.f32 -1/2 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (.f32 -1/2 (-.f32 1 (.f32 alpha alpha))) (log.f32 (*.f32 alpha alpha)))
(+.f32 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))) 0)
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(+.f32 0 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))))
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(-.f32 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))) 0)
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(.f32 2 (/.f32 1 (+.f32 (.f32 alpha alpha) -1)))
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(.f32 1 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))))
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(.f32 (/.f32 -2 (-.f32 1 (.f32 alpha alpha))) 1)
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(.f32 (.f32 2 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha)))) 1/2)
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(.f32 1/2 (.f32 2 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha)))))
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(.f32 (/.f32 1 (+.f32 (.f32 alpha alpha) -1)) 2)
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))
(pow.f32 (/.f32 -2 (-.f32 1 (*.f32 alpha alpha))) 1)
(/.f32 2 (+.f32 -1 (*.f32 alpha alpha)))

eval705.0ms (4.4%)

Compiler: Compiled 28582 to 16597 computations (41.9% saved)

prune481.0ms (3%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1053	19	1072
Fresh	12	22	34
Picked	1	0	1
Done	2	3	5
Total	1068	44	1112

Error

0.0b

Counts

1112 → 44

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))) (PI.f32)) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.9b	(/.f32 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (.f32 -2 (log.f32 (/.f32 1 alpha))) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
✓	0.8b	(/.f32 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	10.9b	(/.f32 (/.f32 (/.f32 1 (PI.f32)) (/.f32 (log.f32 (.f32 alpha alpha)) -1)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.9b	(/.f32 (/.f32 (/.f32 1 (PI.f32)) (.f32 (/.f32 -1 (-.f32 1 (.f32 alpha alpha))) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	5.9b	(/.f32 (/.f32 (/.f32 1 (PI.f32)) (.f32 (log.f32 alpha) (+.f32 -2 (.f32 (pow.f32 alpha 2) -2)))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.6b	(/.f32 (/.f32 (/.f32 1/2 (log.f32 alpha)) (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	10.9b	(/.f32 (/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32)) (-.f32 1 (*.f32 cosTheta cosTheta)))
	0.7b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (.f32 2 (.f32 (log.f32 alpha) (PI.f32)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.6b	(/.f32 (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	1.9b	(/.f32 (/.f32 (+.f32 -1 (-.f32 1 (/.f32 (-.f32 1 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha))))) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.5b	(/.f32 (/.f32 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) (log.f32 (.f32 alpha alpha)))) (+.f32 (.f32 alpha alpha) -1)) (PI.f32)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (/.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 alpha alpha) -1)) (PI.f32)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 1 (/.f32 (PI.f32) (/.f32 (+.f32 (.f32 alpha alpha) -1) (log.f32 (.f32 alpha alpha))))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (/.f32 1 (.f32 (PI.f32) (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	11.2b	(/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (/.f32 1 alpha)))
	10.9b	(/.f32 (/.f32 -1/2 (-.f32 (-.f32 -1 (.f32 (log.f32 alpha) (neg.f32 (PI.f32)))) -1)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	10.9b	(/.f32 (/.f32 -1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 1 (.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))
	11.2b	(/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32))
	11.2b	(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
	11.6b	(/.f32 (+.f32 -1 (-.f32 1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32)))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.9b	(/.f32 (.f32 (/.f32 2 (.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 -1 (.f32 alpha alpha)))))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.9b	(/.f32 (.f32 (/.f32 2 (log.f32 (.f32 alpha alpha))) (/.f32 (/.f32 1 (PI.f32)) (/.f32 2 (+.f32 -1 (.f32 alpha alpha))))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.6b	(/.f32 (.f32 (/.f32 2 (PI.f32)) (/.f32 1 (/.f32 (/.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 2 (/.f32 1 (log.f32 (.f32 alpha alpha))))) (.f32 (+.f32 -1 (.f32 alpha alpha)) (.f32 -1/4 (-.f32 1 (.f32 alpha alpha))))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.8b	(/.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))) (/.f32 1 (/.f32 -1 (-.f32 1 (.f32 alpha alpha))))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.5b	(/.f32 (.f32 (/.f32 1 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (.f32 (/.f32 1 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (.f32 (/.f32 1 (log.f32 (.f32 alpha alpha))) (/.f32 (+.f32 (.f32 alpha alpha) -1) (PI.f32))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.7b	(/.f32 (.f32 (/.f32 1/2 (.f32 (log.f32 alpha) (PI.f32))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.8b	(/.f32 (.f32 (/.f32 -1/2 (.f32 (log.f32 (/.f32 1 alpha)) (PI.f32))) (+.f32 (.f32 alpha alpha) -1)) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	0.9b	(/.f32 (.f32 (PI.f32) (/.f32 2 (.f32 (/.f32 (log.f32 (.f32 alpha alpha)) (+.f32 (.f32 alpha alpha) -1)) (.f32 (PI.f32) (.f32 (PI.f32) 2))))) (+.f32 1 (*.f32 cosTheta (neg.f32 cosTheta))))
	0.5b	(/.f32 (.f32 2 (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 (/.f32 (PI.f32) (+.f32 (.f32 alpha alpha) -1)) (.f32 (log.f32 (.f32 alpha alpha)) (.f32 (log.f32 (.f32 alpha alpha)) 2))))) (+.f32 1 (.f32 cosTheta (.f32 (+.f32 (*.f32 alpha alpha) -1) cosTheta))))
	0.7b	(/.f32 (.f32 1/2 (-.f32 (/.f32 (pow.f32 alpha 2) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 1 (.f32 (log.f32 alpha) (PI.f32))))) (+.f32 1 (.f32 cosTheta (neg.f32 cosTheta))))
	11.2b	(/.f32 -1/2 (+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))
	10.9b	(/.f32 -1/2 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 1 (*.f32 cosTheta cosTheta))))
✓	11.2b	(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
	11.2b	(/.f32 -1/2 (log.f32 (pow.f32 alpha (PI.f32))))
	11.8b	(+.f32 -1 (-.f32 1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32))))
	11.2b	(*.f32 (/.f32 1 (log.f32 alpha)) (/.f32 -1/2 (PI.f32)))
	10.9b	(.f32 (/.f32 1 (PI.f32)) (/.f32 -1/2 (.f32 (log.f32 alpha) (-.f32 1 (*.f32 cosTheta cosTheta)))))

Compiler

Compiled 954 to 684 computations (28.3% saved)

regimes229.0ms (1.4%)

Counts

87 → 1

Calls

Call 1

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

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

Calls

4 calls:

56.0ms	(/.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))))
47.0ms	(*.f32 alpha alpha)
46.0ms	alpha
41.0ms	cosTheta

Results

Error	Segments	Branch
0.4b	1	`cosTheta`
0.4b	1	`alpha`
0.4b	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))))`
0.4b	1	`(*.f32 alpha alpha)`

Compiler

Compiled 1967 to 990 computations (49.7% saved)

regimes190.0ms (1.2%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	(/.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))))
40.0ms	alpha
36.0ms	(*.f32 alpha alpha)
34.0ms	cosTheta

Results

Error	Segments	Branch
0.5b	1	`cosTheta`
0.5b	1	`alpha`
0.5b	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))))`
0.5b	1	`(*.f32 alpha alpha)`

Compiler

Compiled 1516 to 772 computations (49.1% saved)

regimes110.0ms (0.7%)

Counts

42 → 1

Calls

Call 1

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

Calls

4 calls:

26.0ms	alpha
24.0ms	(/.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))))
21.0ms	(*.f32 alpha alpha)
20.0ms	cosTheta

Results

Error	Segments	Branch
0.5b	1	`cosTheta`
0.5b	1	`alpha`
0.5b	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))))`
0.5b	1	`(*.f32 alpha alpha)`

Compiler

Compiled 775 to 392 computations (49.4% saved)

regimes110.0ms (0.7%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	(*.f32 alpha alpha)
24.0ms	cosTheta
20.0ms	alpha

Results

Error	Segments	Branch
0.6b	1	`cosTheta`
0.6b	1	`alpha`
0.6b	1	`(*.f32 alpha alpha)`

Compiler

Compiled 701 to 354 computations (49.5% saved)

regimes75.0ms (0.5%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	(*.f32 alpha alpha)
20.0ms	alpha
20.0ms	cosTheta

Results

Error	Segments	Branch
0.7b	1	`cosTheta`
0.7b	1	`alpha`
0.7b	1	`(*.f32 alpha alpha)`

Compiler

Compiled 653 to 328 computations (49.8% saved)

regimes49.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	alpha
14.0ms	(*.f32 alpha alpha)
13.0ms	cosTheta

Results

Error	Segments	Branch
0.7b	1	`cosTheta`
0.7b	1	`alpha`
0.7b	1	`(*.f32 alpha alpha)`

Compiler

Compiled 314 to 173 computations (44.9% saved)

regimes50.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	alpha
12.0ms	(*.f32 alpha alpha)
12.0ms	cosTheta

Results

Error	Segments	Branch
0.7b	1	`cosTheta`
0.7b	1	`alpha`
0.7b	1	`(*.f32 alpha alpha)`

Compiler

Compiled 295 to 165 computations (44.1% saved)

regimes44.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	alpha
12.0ms	(*.f32 alpha alpha)
9.0ms	cosTheta

Results

Error	Segments	Branch
10.9b	1	`cosTheta`
10.9b	1	`alpha`
10.9b	1	`(*.f32 alpha alpha)`

Compiler

Compiled 276 to 157 computations (43.1% saved)

regimes20.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	cosTheta
8.0ms	alpha

Results

Error	Segments	Branch
10.9b	1	`cosTheta`
10.9b	1	`alpha`

Compiler

Compiled 146 to 89 computations (39% saved)

regimes20.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	cosTheta
8.0ms	alpha

Results

Error	Segments	Branch
10.9b	1	`cosTheta`
10.9b	1	`alpha`

Compiler

Compiled 114 to 70 computations (38.6% saved)

regimes16.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	cosTheta
6.0ms	alpha

Results

Error	Segments	Branch
10.9b	1	`cosTheta`
10.9b	1	`alpha`

Compiler

Compiled 100 to 62 computations (38% saved)

regimes15.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	alpha
5.0ms	cosTheta

Results

Error	Segments	Branch
10.9b	1	`cosTheta`
10.9b	1	`alpha`

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes15.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	alpha
5.0ms	cosTheta

Results

Error	Segments	Branch
10.9b	1	`cosTheta`
10.9b	1	`alpha`

Compiler

Compiled 75 to 49 computations (34.7% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.7b remaining (-6.3%)

Threshold costs -0.7b (-6.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f32 -1/2 (*.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))
(/.f32 (/.f32 -1/2 (log.f32 alpha)) (PI.f32))
(*.f32 (/.f32 1 (log.f32 alpha)) (/.f32 -1/2 (PI.f32)))
(/.f32 (/.f32 1/2 (PI.f32)) (log.f32 (/.f32 1 alpha)))
(+.f32 -1 (-.f32 1 (/.f32 (/.f32 1/2 (log.f32 alpha)) (PI.f32))))
(/.f32 -1/2 (+.f32 -1 (-.f32 1 (*.f32 (log.f32 alpha) (neg.f32 (PI.f32))))))

Outputs
(/.f32 (/.f32 -1/2 (PI.f32)) (log.f32 alpha))

Calls

2 calls:

5.0ms	alpha
5.0ms	cosTheta

Results

Error	Segments	Branch
11.2b	1	`cosTheta`
11.2b	1	`alpha`

Compiler

Compiled 63 to 43 computations (31.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	765

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 278 to 202 computations (27.3% saved)

soundness167.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational.json-simplify-51`
1232×	`rational.json-simplify-2`
962×	`rational.json-simplify-1`
886×	`rational.json-simplify-59`
742×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	31	73
2	63	73
3	154	73
4	541	73
5	3207	73
6	5488	73
7	7785	73

Stop Event

1×	node limit

Compiler

Compiled 330 to 152 computations (53.9% saved)

end98.0ms (0.6%)

Compiler: Compiled 250 to 124 computations (50.4% saved)