Details

analyze233.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
50%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
75%	0%	0%	100%	0%	0%	0%	7
75%	0%	0%	100%	0%	0%	0%	8
87.5%	0%	0%	100%	0%	0%	0%	9
87.5%	0%	0%	100%	0%	0%	0%	10
87.5%	0%	0%	100%	0%	0%	0%	11
93.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.5s (17.8%)

Results

2.5s	8256×	body	256	valid
1.0ms	4×	body	256	precondition

Bogosity

preprocess48.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

304×	`fma-def`
202×	`+-commutative`
180×	`associate-+l-`
168×	`associate-+l+`
114×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	172
1	62	164
2	98	164
3	123	164
4	151	164
5	187	164
6	242	164
7	324	164
8	603	164
9	687	164
10	739	164
11	1019	164
12	1083	164
13	1118	164
14	1130	164
15	1133	164
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u1)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u1)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (.f32 u1 (*.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (.f32 (PI.f32) (*.f32 u1 2))))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-def`
62×	`associate-+l-`
60×	`+-commutative`
52×	`associate-+l+`
40×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

eval13.0ms (0.1%)

Compiler: Compiled 41 to 32 computations (22% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.3b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize99.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.6b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series62.0ms (0.4%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	u1	@	-inf	(log.f32 (-.f32 1 u1))
25.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`swap-sqr`
530×	`distribute-rgt-in`
516×	`associate-*r/`
478×	`distribute-lft-in`
432×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	339	80
2	4100	80

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

Inputs
(log.f32 (-.f32 1 u1))
(.f32 (.f32 2 (PI.f32)) u2)
(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (.f32 -1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (.f32 (neg.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (.f32 -1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) 1) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) -1) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) 1/2)) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 -1 1/2) (pow.f32 -1 1/2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) 1) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))))

simplify157.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1486×	`associate-/r/`
794×	`associate-r`
730×	`associate-l`
620×	`+-commutative`
578×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	7214
1	1169	6360
2	5192	6234

Stop Event

1×	node limit

Counts

196 → 268

Calls

Call 1

Inputs
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
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(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u2))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2))) 1))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2))))
(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) 1)
(-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 1)
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 2))
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))) 1)
(pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 1)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 2)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 3)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 1))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))

Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (.f32 -1/2 (.f32 u1 u1)))
(-.f32 (.f32 (.f32 -1/2 u1) u1) u1)
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))
(-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1)) u1)
(-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (/.f32 1/2 (*.f32 u1 u1)))) (/.f32 -1 u1))
(+.f32 (log.f32 u1) (-.f32 (-.f32 (log.f32 -1) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(-.f32 (+.f32 (+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (/.f32 1/2 (*.f32 u1 u1)))) (/.f32 -1 u1)) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (-.f32 (-.f32 (/.f32 -1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (-.f32 (-.f32 (/.f32 -1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(+.f32 (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1) (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 u1 u1)))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))) (/.f32 (.f32 u1 u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))) (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
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(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) -1) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (neg.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(pow.f32 (log1p.f32 (neg.f32 u1)) 1)
(log1p.f32 (neg.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2)
(log1p.f32 (neg.f32 u1))
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(log1p.f32 (neg.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(fabs.f32 (log1p.f32 (neg.f32 u1)))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3) 1/3)
(log1p.f32 (neg.f32 u1))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(fabs.f32 (log1p.f32 (neg.f32 u1)))
(cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))
(log1p.f32 (neg.f32 u1))
(expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(exp.f32 (log.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2)))) 1)
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 1)
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3) 1/3)
(.f32 2 (.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 2))
(sqrt.f32 (pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 2))
(fabs.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(.f32 2 (.f32 u2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(.f32 2 (.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3))
(.f32 2 (.f32 u2 (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(.f32 2 (.f32 u2 (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))
(.f32 2 (.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))
(.f32 2 (.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u2))))
(.f32 2 (.f32 u2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2))) 1))
(.f32 2 (.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) 1)
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))
(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 1)
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 2))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1)
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2)
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3)
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3) 1/3)
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 2))
(sqrt.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))
(fabs.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 1))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))) 1)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 2)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 3)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3) 1/3)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 1))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.1b	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.3b	(*.f32 (PI.f32) u2)

Compiler

Compiled 47 to 19 computations (59.6% saved)

series38.0ms (0.3%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`unswap-sqr`
864×	`swap-sqr`
434×	`distribute-rgt-in`
392×	`distribute-lft-in`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	323	70
2	3935	70

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

Inputs
(*.f32 (PI.f32) u2)
(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (+.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 1 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1))))) (#(struct:change 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(PI.f32) u2)) 2)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (-.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (-.f32 1 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((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 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(sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-*r/`
1042×	`associate-r`
982×	`associate-l`
710×	`+-commutative`
614×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	9241
1	1176	8077
2	5814	7993

Stop Event

1×	node limit

Counts

185 → 255

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
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(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(/.f32 (.f32 (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) -1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 -1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(+.f32 (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) 1) (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3)))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 (*.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) (.f32 (pow.f32 (PI.f32) 6) (.f32 -4/45 (pow.f32 u2 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (/.f32 u1 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 (.f32 -1/2 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
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(.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))
(.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3)) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))
(.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3)) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) -1)
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 -1 (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 -1)))
(*.f32 (sqrt.f32 -1) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 -1)))
(*.f32 (sqrt.f32 -1) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(sqrt.f32 (log1p.f32 u1))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))

eval335.0ms (2.4%)

Compiler: Compiled 14752 to 9048 computations (38.7% saved)

prune189.0ms (1.3%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	491	32	523
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	491	34	525

Error

0.1b

Counts

525 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	7.5b	(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
	7.5b	(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))
▶	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.6b	(.f32 (.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	6.8b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
▶	2.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	16.6b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	7.8b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	9.0b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))

Compiler

Compiled 1415 to 1089 computations (23% saved)

localize159.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	0.3b	(*.f32 u2 (PI.f32))
✓	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
✓	29.2b	(fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))

Compiler

Compiled 143 to 38 computations (73.4% saved)

series5.0ms (0%)

Counts

4 → 28

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
1.0ms	u2	@	-inf	(fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
1.0ms	u2	@	inf	(fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
0.0ms	u2	@	0	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
0.0ms	u2	@	inf	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`unswap-sqr`
776×	`swap-sqr`
612×	`associate-*r/`
484×	`associate-*l/`
442×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	310	86
2	3906	50

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) (+.f32 u2 u2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (exp.f32 (log.f32 (-.f32 3/2 (.f32 1/2 (cos.f32 0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) 1/2) (.f32 1/2 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log.f32 (-.f32 3/2 (.f32 1/2 (cos.f32 0))))) (-.f32 3/2 (.f32 1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log.f32 (-.f32 3/2 (.f32 1/2 (cos.f32 0))))) (-.f32 1 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 0)) (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (+.f32 (.f32 1/2 (cos.f32 0)) (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (exp.f32 (log.f32 (-.f32 3/2 (.f32 1/2 (cos.f32 0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) 1/2) (.f32 1/2 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 0 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (sqrt.f32 (.f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (+.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (-.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (+.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (+.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (+.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (+.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (-.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (-.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (-.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (-.f32 (.f32 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((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

288×	`*-commutative`
278×	`associate-r`
272×	`fma-def`
266×	`associate-l`
152×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	4320
1	1126	4320
2	2861	4320

Stop Event

1×

unsound

Counts

160 → 143

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (+.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))))
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(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (cbrt.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (sqrt.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))) (.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (sqrt.f32 (cbrt.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (.f32 (sqrt.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (cbrt.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))))))
(.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))) (.f32 (sqrt.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (-.f32 (cos.f32 0) (cos.f32 0)) 2)
(/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (+.f32 -1/2 (.f32 1/2 (cos.f32 0)))) (sin.f32 (.f32 u2 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (+.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 3))) (+.f32 -1/2 (.f32 1/2 (cos.f32 0))))
(/.f32 (*.f32 1 (-.f32 (cos.f32 0) (cos.f32 0))) 2)
(/.f32 (*.f32 -1 (-.f32 (cos.f32 0) (cos.f32 0))) 2)
(/.f32 (.f32 (+.f32 -1/2 (.f32 1/2 (cos.f32 0))) (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))
(/.f32 (.f32 (+.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 3)) (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 -1/2 (.f32 1/2 (cos.f32 0))))
(/.f32 (*.f32 (-.f32 (cos.f32 0) (cos.f32 0)) 1) 2)
(/.f32 (*.f32 (-.f32 (cos.f32 0) (cos.f32 0)) -1) 2)
(/.f32 (neg.f32 (-.f32 (cos.f32 0) (cos.f32 0))) 2)
(neg.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(log.f32 (exp.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))))))
(cbrt.f32 (pow.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))) 3))
(expm1.f32 (log.f32 (-.f32 3/2 (*.f32 1/2 (cos.f32 0)))))
(exp.f32 (log.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))
(exp.f32 (.f32 (log.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) 1))
(log1p.f32 (expm1.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 1))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
0

Outputs
(.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (+.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/360 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (-.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (exp.f32 (log.f32 (-.f32 3/2 (.f32 1/2 (cos.f32 0)))))) 1)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(+.f32 (-.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) 1/2) (.f32 1/2 (cos.f32 0)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 (exp.f32 (log.f32 (-.f32 3/2 (.f32 1/2 (cos.f32 0))))) (-.f32 3/2 (.f32 1/2 (cos.f32 0))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 (exp.f32 (log.f32 (-.f32 3/2 (.f32 1/2 (cos.f32 0))))) (-.f32 1 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 (exp.f32 (log1p.f32 (.f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))) 1)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 0)) (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 1/2 (+.f32 (.f32 1/2 (cos.f32 0)) (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 (+.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (exp.f32 (log.f32 (-.f32 3/2 (.f32 1/2 (cos.f32 0)))))) 1)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 (+.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) 1/2) (.f32 1/2 (cos.f32 0)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) 2)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) 0)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) -2)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (.f32 2 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))) 1)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 0 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 1 (.f32 2 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (sqrt.f32 (.f32 2 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (sqrt.f32 (.f32 2 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (+.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (-.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (+.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (+.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (+.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (+.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(.f32 (cbrt.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) (+.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))))))
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(log.f32 (+.f32 1 (expm1.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(cbrt.f32 (pow.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))) 3))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(expm1.f32 (log.f32 (-.f32 3/2 (*.f32 1/2 (cos.f32 0)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(exp.f32 (log.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(exp.f32 (.f32 (log.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0)))) 1))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(log1p.f32 (expm1.f32 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 1))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))
0
(.f32 (.f32 0 (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))

localize58.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (neg.f32 u1))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(log1p.f32 (neg.f32 u1))
0.0ms	u1	@	inf	(log1p.f32 (neg.f32 u1))
0.0ms	u1	@	-inf	(log1p.f32 (neg.f32 u1))

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`associate-r`
764×	`add-sqr-sqrt`
752×	`*-un-lft-identity`
714×	`pow1`
700×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	101	5
2	1219	5

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(log1p.f32 (neg.f32 u1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log1p.f32 u1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))))

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-r`
1324×	`associate-+r+`
1134×	`associate-l`
828×	`associate-+l-`
514×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1076
1	280	870
2	894	836
3	4685	834

Stop Event

1×	node limit

Counts

44 → 92

Calls

Call 1

Inputs
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (+.f32 (log1p.f32 u1) 1) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 1 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))

Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (.f32 -1/2 (.f32 u1 u1)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))
(-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1)
(-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(-.f32 (.f32 u1 (.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (.f32 u1 -1/4) -1/3)))) u1)
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(+.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1 u1))
(-.f32 (log.f32 u1) (-.f32 (/.f32 1 u1) (log.f32 -1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(-.f32 (log.f32 u1) (-.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (log.f32 -1)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (-.f32 (/.f32 -1 u1) (/.f32 (/.f32 1/2 u1) u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))))
(+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3)))))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (+.f32 (-.f32 (/.f32 -1 u1) (/.f32 (/.f32 1/2 u1) u1)) (/.f32 -1/3 (pow.f32 u1 3)))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1 u1)))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3)))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 -1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log1p.f32 u1) 1) 1)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (log1p.f32 u1) 1)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 1 (log1p.f32 u1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fabs.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fabs.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(pow.f32 (log1p.f32 u1) 1)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(log.f32 (+.f32 u1 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 47 to 27 computations (42.6% saved)

series30.0ms (0.2%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
10.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
3.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms	u1	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	-inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`unswap-sqr`
912×	`swap-sqr`
574×	`sqr-pow`
416×	`distribute-rgt-in`
368×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	332	42
2	3842	42

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/8) (*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/6) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-/r*`
1140×	`associate-/l*`
952×	`associate-*r/`
790×	`associate-+r+`
758×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	6438
1	1041	5824
2	3767	5760

Stop Event

1×	node limit

Counts

84 → 158

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 2 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))) (pow.f32 u1 3))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))) (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (.f32 -2 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(.f32 (pow.f32 (log1p.f32 u1) 1/8) (.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/8))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/6) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/6))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(/.f32 (.f32 (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 -1/4 (fabs.f32 (pow.f32 u1 3/2)) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 u1) 13/96) (.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 u1) 13/96) (.f32 u1 u1) (fma.f32 -1/4 (fabs.f32 (pow.f32 u1 3/2)) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(fma.f32 (.f32 (sqrt.f32 u1) -35/384) (pow.f32 u1 3) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(fma.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 u1) -35/384) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(fma.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 u1) -35/384) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (fabs.f32 (pow.f32 u1 3/2)) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (.f32 -1/2 (sqrt.f32 -1)) u1)))
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(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/6) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/6))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))
(sqrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3)))
(/.f32 (.f32 (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))

localize88.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
✓	0.1b	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.2b	(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 66 to 18 computations (72.7% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
1.0ms	u2	@	-inf	(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
1.0ms	u2	@	inf	(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
0.0ms	u2	@	0	(sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
0.0ms	u2	@	0	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))

rewrite209.0ms (1.5%)

Algorithm

3×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

1966×	`add-sqr-sqrt`
1948×	`*-un-lft-identity`
1818×	`add-sqr-sqrt`
1810×	`add-cube-cbrt`
1802×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	250	57
2	2887	57
0	12	19
1	250	19
2	2887	19
0	12	19
0	9	19
1	187	19
2	2469	19
0	10	23
1	206	23
2	2688	23

Stop Event

1×	node limit
1×	node limit
1×	iter limit
1×	node limit
1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/4) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)) (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) 1/2) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

932×	`unswap-sqr`
838×	`+-commutative`
822×	`*-commutative`
770×	`fma-def`
640×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	2386
1	332	2286
2	1177	2168
3	4373	2168
4	7873	2168

Stop Event

1×	node limit

Counts

88 → 80

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
1
(+.f32 1 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 1/2 (.f32 (pow.f32 u2 4) (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2)))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 1/2 (.f32 (pow.f32 u2 4) (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2)))) (+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (.f32 -1 (.f32 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2)) (pow.f32 (PI.f32) 2)))) (pow.f32 u2 6))) (.f32 -1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 1 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cbrt.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
(-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1)
(.f32 1 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) 1)
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(.f32 1 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/4) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/4))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2)) (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) 1/2) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/2))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/2)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(log.f32 (exp.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))

Outputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 4) (-.f32 (.f32 5/3 (pow.f32 (PI.f32) 4)) (pow.f32 (neg.f32 (pow.f32 (PI.f32) 2)) 2)) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 4) (-.f32 (.f32 (pow.f32 (PI.f32) 4) 5/3) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 2/3) 1))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
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1
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1
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(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 1 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/4) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/4))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2)) (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) 1/2) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/2))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/2)
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1/4) 2)
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2) 1/3)
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(fabs.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log.f32 (exp.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3/2))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(expm1.f32 (log1p.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(exp.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/2))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))

localize121.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
	0.3b	(*.f32 u2 (PI.f32))
	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 94 to 40 computations (57.4% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))

rewrite125.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`associate-*r/`
424×	`add-sqr-sqrt`
412×	`*-un-lft-identity`
408×	`pow1`
388×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	128
1	420	76
2	5579	76

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))

(+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (sqrt.f32 (log1p.f32 u1)))) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (-.f32 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1) (+.f32 (pow.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 1 (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2))) (+.f32 1 (pow.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (*.f32 2 (pow.f32 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(log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (log1p.f32 u1)) (-.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 3)) (+.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (-.f32 (log1p.f32 u1) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (pow.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2))) (+.f32 (*.f32 2 (pow.f32 (sin.f32 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simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-+r+`
952×	`associate-+l+`
852×	`+-commutative`
652×	`associate-*r/`
572×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	12013
1	1163	10665
2	4870	10649

Stop Event

1×	node limit

Counts

159 → 276

Calls

Call 1

Inputs
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
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(-.f32 (exp.f32 (log.f32 (+.f32 2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) 1)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (-.f32 1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (-.f32 1 (neg.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (+.f32 1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))
(-.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (-.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1))
(-.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))) (-.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))) 1))
(-.f32 (/.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) -1)) (/.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) -1)))
(-.f32 (+.f32 2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1)
(-.f32 (+.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) 0) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (/.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(-.f32 (+.f32 1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)))) (/.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))))
(-.f32 (+.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) 1/2) (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(-.f32 (+.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) 1)
(-.f32 (-.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) 0) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1) 1)
(.f32 (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1)))
(.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) (pow.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1)) 2))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 2) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1)))
(.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1) (/.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1)))
(.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)) (/.f32 1 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))))
(/.f32 1 (/.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) -1) (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1)))
(/.f32 1 (/.f32 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))) (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3))))
(/.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) -1))
(/.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)) (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))))
(/.f32 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1))
(/.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) -1))
(/.f32 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)) (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))))
(/.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) 3)) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (+.f32 (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1)) (neg.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) -1)))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3))) (neg.f32 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)) 1) (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2))))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1) 1) (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1))
(/.f32 (.f32 1 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(/.f32 (.f32 1 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1))
(/.f32 (.f32 1 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3))) (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) 3))) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (+.f32 (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))))
(/.f32 (.f32 1 (neg.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1))) (neg.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1)))
(/.f32 (.f32 1 (neg.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)))) (neg.f32 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) (sqrt.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) (sqrt.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1))) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1)))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 2) (cbrt.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 2) (cbrt.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1))) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1)))
(pow.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1) 1)
(pow.f32 (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 2)
(pow.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 3)
(pow.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1) 2))
(log.f32 (exp.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1))))
(cbrt.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1) 3))
(expm1.f32 (log.f32 (+.f32 2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(exp.f32 (log1p.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(exp.f32 (.f32 (log1p.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
(log1p.f32 (expm1.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)))
(fma.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))) (neg.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
(fma.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))
(fma.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)
(fma.f32 (sqrt.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 2) (cbrt.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1)
(fma.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (neg.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
(fma.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))

Outputs
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 (.f32 -1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) (/.f32 u1 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
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(/.f32 (.f32 1 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(/.f32 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(/.f32 (-.f32 1 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(/.f32 (.f32 1 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1))
(/.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 (+.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1))
(/.f32 (.f32 (+.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1) (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1))
(/.f32 (.f32 1 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3))) (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2))))
(/.f32 (-.f32 1 (.f32 8 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3))) (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))
(/.f32 (+.f32 1 (.f32 -8 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6))) (+.f32 1 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) 3))) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (+.f32 (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))))
(/.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (pow.f32 (+.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 (+.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 (+.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) (pow.f32 (+.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)) (fma.f32 (+.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))
(/.f32 (.f32 1 (neg.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1))) (neg.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1)))
(/.f32 (+.f32 -1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1))
(/.f32 (+.f32 -1 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1))
(/.f32 (.f32 1 (neg.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)))) (neg.f32 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))))
(/.f32 (+.f32 1 (.f32 8 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3))) (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))
(/.f32 (fma.f32 8 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) 1) (+.f32 1 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) (sqrt.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)))) (sqrt.f32 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))))
(/.f32 (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)) (/.f32 (sqrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))) (sqrt.f32 (+.f32 1 (.f32 8 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3))))))
(/.f32 (sqrt.f32 (fma.f32 8 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) 1)) (/.f32 (sqrt.f32 (+.f32 1 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))) (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) (sqrt.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1))) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1)))
(/.f32 (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)) (/.f32 (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)) (sqrt.f32 (+.f32 -1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)))))
(.f32 (/.f32 (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)) (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1))) (sqrt.f32 (+.f32 -1 (.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 2) (cbrt.f32 (+.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)))) (cbrt.f32 (+.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))))
(/.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)) 2) (/.f32 (cbrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1) (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2))) (cbrt.f32 (+.f32 1 (.f32 8 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3))))))
(/.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)) 2) (/.f32 (cbrt.f32 (+.f32 1 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))) (cbrt.f32 (fma.f32 8 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 1))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 2) (cbrt.f32 (+.f32 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2) -1))) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) -1)))
(/.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)) 2) (/.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)) (cbrt.f32 (+.f32 -1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)) 2) (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1))) (cbrt.f32 (+.f32 -1 (.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)) 2) (/.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)) (cbrt.f32 (+.f32 -1 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))))
(pow.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1) 1)
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(pow.f32 (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 2)
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(pow.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)) 3)
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(pow.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1) 3) 1/3)
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(sqrt.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1) 2))
(sqrt.f32 (pow.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) 2))
(fabs.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(log.f32 (exp.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)))
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1))))
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(cbrt.f32 (pow.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1) 3))
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(expm1.f32 (log.f32 (+.f32 2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(exp.f32 (log1p.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(exp.f32 (.f32 (log1p.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
(exp.f32 (log1p.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(log1p.f32 (expm1.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)))
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))) (neg.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
1
(fma.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))
1
(fma.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 (sqrt.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1)
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 2) (cbrt.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1)
(fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (neg.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
(fma.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(fma.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (-.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(fma.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1)))
(neg.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1)))
(fma.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(-.f32 1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))

eval783.0ms (5.5%)

Compiler: Compiled 34991 to 20118 computations (42.5% saved)

prune512.0ms (3.6%)

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	1072	21	1093
Fresh	5	22	27
Picked	1	0	1
Done	1	5	6
Total	1079	48	1127

Error

0.0b

Counts

1127 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	7.5b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	7.5b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	11.6b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
✓	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
▶	11.4b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	7.6b	(.f32 (.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	2.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	10.9b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1) 2))
	2.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1)) 2))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)) (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1)))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	16.6b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	30.4b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	7.8b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	11.4b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	9.0b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
	11.3b	(sqrt.f32 (log1p.f32 u1))
	19.8b	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1693 to 1363 computations (19.5% saved)

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
	0.3b	(*.f32 u2 (PI.f32))
	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 69 to 31 computations (55.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
0.0ms	u2	@	0	(-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`associate-*r/`
626×	`distribute-rgt-in`
590×	`associate-*l/`
564×	`distribute-lft-in`
384×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	84
1	386	76
2	4678	76

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 1 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (-.f32 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (-.f32 1 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)) (/.f32 (+.f32 1 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)) (/.f32 (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (*.f32 (pow.f32 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u2 (PI.f32))) 2) -2) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (+.f32 1 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3))) (+.f32 1 (-.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (-.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))) (neg.f32 (+.f32 1 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (-.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)))) (neg.f32 (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))) (+.f32 1 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)))) (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (-.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)) (sqrt.f32 (log1p.f32 u1)))) (+.f32 1 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (-.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)) (sqrt.f32 (log1p.f32 u1)))) (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (-.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)))) (sqrt.f32 (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (-.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))) (sqrt.f32 (+.f32 1 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) 2)) (cbrt.f32 (-.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)))) (cbrt.f32 (+.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) 2)) (cbrt.f32 (-.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))) (cbrt.f32 (+.f32 1 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1 (pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (-.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 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simplify242.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

866×	`associate-r`
746×	`associate-l`
732×	`associate-/l*`
654×	`associate-+l+`
618×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	14861
1	1314	13741
2	6368	13579

Stop Event

1×	node limit

Counts

167 → 254

Calls

Call 1

Inputs
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))) (+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 1 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1))) 1))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (-.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (-.f32 1 (.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))) 1)
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)) (/.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (/.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3))) (+.f32 1 (-.f32 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))) (neg.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)))) (neg.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))
(/.f32 (.f32 1 (.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)) (sqrt.f32 (log1p.f32 u1)))) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (.f32 1 (.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (sqrt.f32 (log1p.f32 u1)))) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)))) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))) (sqrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 2)) (cbrt.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)))) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 2)) (cbrt.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))) (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (-.f32 1 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (-.f32 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(/.f32 (.f32 (neg.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (neg.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8))) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))) 1) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8))) 1) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))
(/.f32 (.f32 (.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
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(/.f32 (.f32 (sqrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)))) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (sqrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))) (sqrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 2) (cbrt.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)))) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 2) (cbrt.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))) (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (-.f32 1 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 1) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3)) 1) (+.f32 1 (-.f32 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(/.f32 (.f32 (neg.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))) 1) (neg.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (neg.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8))) 1) (neg.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8))) (sqrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))) (sqrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8))) (pow.f32 (cbrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 2)) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))) (pow.f32 (cbrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 2)) (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (.f32 (-.f32 1 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))) (/.f32 1 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))
(/.f32 (.f32 (-.f32 1 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4) 3)) (/.f32 1 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (+.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4) (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (.f32 (-.f32 1 (.f32 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8) (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8))) (/.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))) (+.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)))
(/.f32 (.f32 (-.f32 1 (pow.f32 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8) 3)) (/.f32 1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))) (+.f32 1 (+.f32 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8) (.f32 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8) (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)))))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)) 1) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)) (sqrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (sqrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)) (.f32 (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) 1) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))))) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(pow.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 1)
(pow.f32 (sqrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 2)
(pow.f32 (cbrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 3)
(pow.f32 (pow.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 2))
(log.f32 (exp.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))))
(cbrt.f32 (pow.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 3))
(expm1.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))
(exp.f32 (.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) 1))
(log1p.f32 (expm1.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))

Outputs
(.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sqrt.f32 -1) (.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (.f32 (sqrt.f32 -1) (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) u1)))
(fma.f32 (sqrt.f32 -1) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (/.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1) (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1)))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (.f32 (sqrt.f32 -1) (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) u1))))
(fma.f32 (sqrt.f32 -1) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1) u1)) (.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1))))))
(fma.f32 (sqrt.f32 -1) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
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(/.f32 (-.f32 1 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) -4)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)) (.f32 (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) (cbrt.f32 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (-.f32 1 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) -4)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) 1) (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 1 (.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (fma.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) -8 1) (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (fma.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1)))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4))))) (sqrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 1 (.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (fma.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) -8 1) (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (fma.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1)))
(/.f32 (/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (.f32 (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 4)))))) (cbrt.f32 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 4)))))
(/.f32 (-.f32 1 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) 8)) (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 1 (.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (fma.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3) -8 1) (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (fma.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1)))
(pow.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 1)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(pow.f32 (sqrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 2)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(pow.f32 (cbrt.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) 3)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(pow.f32 (pow.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 3) 1/3)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(sqrt.f32 (pow.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 2))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) 2))
(fabs.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1))
(log.f32 (exp.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(log.f32 (+.f32 1 (expm1.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(cbrt.f32 (pow.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 3))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(expm1.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(expm1.f32 (log.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)))
(exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))
(exp.f32 (.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) 1))
(exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))
(log1p.f32 (expm1.f32 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)

localize22.0ms (0.2%)

Compiler: Compiled 20 to 9 computations (55% saved)

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 u1)
✓	0.1b	(pow.f32 (log1p.f32 u1) 1/4)
	0.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 1/4)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 1/4)
1.0ms	u1	@	0	(pow.f32 (log1p.f32 u1) 1/4)
0.0ms	u1	@	inf	(log1p.f32 u1)
0.0ms	u1	@	-inf	(log1p.f32 u1)

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`add-sqr-sqrt`
1188×	`*-un-lft-identity`
1124×	`pow1`
1114×	`add-cube-cbrt`
1100×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	144	16
2	1602	16

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 u1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1244×	`fma-def`
1218×	`associate-r`
992×	`associate-l`
974×	`+-commutative`
672×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2750
1	574	2324
2	1940	2046
3	7153	2046

Stop Event

1×	node limit

Counts

54 → 122

Calls

Call 1

Inputs
(pow.f32 u1 1/4)
(+.f32 (pow.f32 u1 1/4) (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4))))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -39/1024 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (.f32 -1 (.f32 (/.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4))))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 1 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))

Outputs
(pow.f32 u1 1/4)
(+.f32 (pow.f32 u1 1/4) (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)))
(+.f32 (pow.f32 u1 1/4) (*.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4)))
(fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (pow.f32 u1 1/4))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4))))
(+.f32 (pow.f32 u1 1/4) (fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (*.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4))))
(+.f32 (pow.f32 u1 1/4) (fma.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4) (*.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4))))
(fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (fma.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4) (pow.f32 u1 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -39/1024 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)))))
(+.f32 (pow.f32 u1 1/4) (fma.f32 -39/1024 (pow.f32 (pow.f32 u1 13) 1/4) (fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (*.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4)))))
(+.f32 (pow.f32 u1 1/4) (fma.f32 -39/1024 (pow.f32 (pow.f32 u1 13) 1/4) (fma.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4) (*.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4)))))
(fma.f32 -39/1024 (pow.f32 (pow.f32 u1 13) 1/4) (fma.f32 -1/8 (pow.f32 (pow.f32 u1 5) 1/4) (fma.f32 23/384 (pow.f32 (pow.f32 u1 9) 1/4) (pow.f32 u1 1/4))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)
(pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4)
(pow.f32 (log.f32 u1) 1/4)
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))
(fma.f32 -1/4 (*.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4)) (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4))
(fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (pow.f32 (log.f32 u1) 1/4))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)))
(fma.f32 -1/4 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4)) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4) (/.f32 (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (*.f32 u1 u1)) (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4)))
(fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (.f32 (+.f32 (/.f32 (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) 1) (pow.f32 (log.f32 u1) 1/4)))
(fma.f32 (+.f32 1 (/.f32 (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) (log.f32 u1))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1))) (pow.f32 (log.f32 u1) 1/4) (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) (/.f32 -1/4 u1)))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))))
(fma.f32 -1/4 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4)) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4) (/.f32 (-.f32 (fma.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (neg.f32 (log.f32 u1))) (.f32 1/24 (-.f32 (/.f32 3 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))) (/.f32 1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (pow.f32 u1 3)) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4) (/.f32 (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (.f32 u1 u1)) (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/4))))
(+.f32 (.f32 (pow.f32 (log.f32 u1) 1/4) (+.f32 (/.f32 (fma.f32 -1/32 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/24 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (/.f32 -1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)) (/.f32 (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)))) (fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (pow.f32 (log.f32 u1) 1/4)))
(fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (.f32 (pow.f32 (log.f32 u1) 1/4) (+.f32 (+.f32 1 (/.f32 (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) (log.f32 u1))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1))) (/.f32 (fma.f32 -1/32 (+.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/24 (+.f32 (/.f32 3 (*.f32 (log.f32 u1) (log.f32 u1))) (-.f32 (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (/.f32 -2 (log.f32 u1)))) (/.f32 -1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)))))
(fma.f32 -1/4 (/.f32 (pow.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3)) 1/4) u1) (.f32 (pow.f32 (log.f32 u1) 1/4) (+.f32 (/.f32 (fma.f32 -1/32 (+.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/24 (+.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (-.f32 (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (/.f32 -2 (log.f32 u1)))) (/.f32 -1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (pow.f32 u1 3)) (+.f32 1 (/.f32 (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) (log.f32 u1))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) (*.f32 u1 u1))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4)
(pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4)
(pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4))
(fma.f32 1/4 (*.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) 1/4)) (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4))
(fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))
(+.f32 (fma.f32 1/4 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) 1/4)) (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4)) (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4) (/.f32 (fma.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 1/32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (*.f32 u1 u1))))
(fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 -1/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 1/32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)))) (.f32 u1 u1)) 1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4)))
(fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4) (+.f32 1 (/.f32 (+.f32 (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) -3/32)) (*.f32 u1 u1)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (.f32 -1 (.f32 (/.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4))))))
(+.f32 (fma.f32 1/4 (.f32 (/.f32 1 u1) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) 1/4)) (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4)) (fma.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4) (/.f32 (fma.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 1/32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (.f32 u1 u1)) (neg.f32 (.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 1/4) (/.f32 (-.f32 (fma.f32 -1/24 (+.f32 (/.f32 2 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)) (+.f32 (/.f32 3 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 2 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)) (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (/.f32 1/384 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (pow.f32 u1 3))))))
(+.f32 (fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4)) (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4) (+.f32 (/.f32 (+.f32 (/.f32 -1/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (+.f32 (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 1/32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)))) (.f32 u1 u1)) (neg.f32 (/.f32 (fma.f32 -1/24 (+.f32 (/.f32 2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (+.f32 (/.f32 3 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (fma.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -1/384 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (pow.f32 u1 3))))))
(fma.f32 1/4 (/.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) 1/4) u1) (.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 1/4) (-.f32 (+.f32 1 (/.f32 (+.f32 (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) -3/32)) (*.f32 u1 u1))) (/.f32 (+.f32 (+.f32 (/.f32 -1/12 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (+.f32 (/.f32 -1/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -1/12 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (+.f32 (/.f32 (+.f32 (/.f32 1/32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 1/32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -1/384 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))) (pow.f32 u1 3)))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(fma.f32 -1/2 (*.f32 u1 u1) u1)
(fma.f32 (*.f32 u1 u1) -1/2 u1)
(fma.f32 u1 (*.f32 u1 -1/2) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1))
(fma.f32 (*.f32 u1 u1) -1/2 (fma.f32 (pow.f32 u1 3) 1/3 u1))
(fma.f32 u1 (*.f32 u1 -1/2) (fma.f32 (pow.f32 u1 3) 1/3 u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 (*.f32 u1 u1) -1/2 (fma.f32 (pow.f32 u1 3) 1/3 u1)))
(fma.f32 u1 (*.f32 u1 -1/2) (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 (pow.f32 u1 3) 1/3 u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(neg.f32 (neg.f32 (log.f32 u1)))
(log.f32 u1)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (log.f32 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (/.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 u1)) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (log.f32 u1) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (/.f32 1 u1) (+.f32 (+.f32 (log.f32 u1) (/.f32 1/3 (pow.f32 u1 3))) (/.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1))
(-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1)))
(+.f32 (log.f32 -1) (-.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (-.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (-.f32 (+.f32 (log.f32 -1) (/.f32 -1/2 (*.f32 u1 u1))) (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 -1/2 (*.f32 u1 u1)))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (-.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 -1/2 (*.f32 u1 u1)))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (/.f32 1 u1) (-.f32 (+.f32 (log.f32 -1) (/.f32 -1/2 (*.f32 u1 u1))) (log.f32 (/.f32 -1 u1)))))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1)
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/4))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/2)
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/2)
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 3))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(pow.f32 (log1p.f32 u1) 1/4)
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (log1p.f32 u1) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 1 (log1p.f32 u1))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (log1p.f32 u1) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(log.f32 (+.f32 u1 1))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)

localize90.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 78 to 26 computations (66.7% saved)

series37.0ms (0.3%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite114.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`associate-*r/`
826×	`distribute-lft-in`
698×	`associate-*l/`
398×	`add-sqr-sqrt`
386×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	390	70
2	4965	38

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

Inputs
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

Outputs

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simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1654×	`times-frac`
1098×	`associate-/l*`
1068×	`associate-r`
1058×	`associate-/r*`
994×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	593	8784
1	1594	7682

Stop Event

1×	node limit

Counts

256 → 366

Calls

Call 1

Inputs
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (.f32 -1 (log.f32 (/.f32 -1 u1))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
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(/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
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(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))
(/.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) 1) (log1p.f32 u1))
(/.f32 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 -1 (pow.f32 (log1p.f32 u1) 3)) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 3))) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3))) (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(/.f32 (/.f32 1 (log1p.f32 u1)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (.f32 (pow.f32 (log1p.f32 u1) 2) (+.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (+.f32 (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 3))))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3)) (.f32 (log1p.f32 u1) (+.f32 (+.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 3))) (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)))))
(/.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3) (log1p.f32 u1))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) 1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))) (log1p.f32 u1))
(/.f32 (.f32 1 (.f32 -1 (pow.f32 (log1p.f32 u1) 3))) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (*.f32 1 (-.f32 0 (pow.f32 (log1p.f32 u1) 2))) (log1p.f32 u1))
(/.f32 (.f32 1 (-.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 0 (log1p.f32 u1)))))
(/.f32 (.f32 -1 (.f32 -1 (pow.f32 (log1p.f32 u1) 3))) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (*.f32 -1 (-.f32 0 (pow.f32 (log1p.f32 u1) 2))) (log1p.f32 u1))
(/.f32 (.f32 -1 (-.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 0 (log1p.f32 u1)))))
(/.f32 (.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))) (log1p.f32 u1))
(/.f32 (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (.f32 (.f32 -1 (pow.f32 (log1p.f32 u1) 3)) 1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) 1) (log1p.f32 u1))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) 1) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 0 (log1p.f32 u1)))))
(/.f32 (.f32 (.f32 -1 (pow.f32 (log1p.f32 u1) 3)) -1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) -1) (log1p.f32 u1))
(/.f32 (.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) -1) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 0 (log1p.f32 u1)))))
(/.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (sqrt.f32 (log1p.f32 u1))) (log1p.f32 u1))
(/.f32 (*.f32 (log1p.f32 u1) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (log1p.f32 u1))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (log1p.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 3))) (/.f32 1 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3)) (/.f32 1 (log1p.f32 u1))) (+.f32 (+.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 3))) (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3))) (/.f32 1 (pow.f32 (log1p.f32 u1) 2))) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2))) (+.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (+.f32 (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 3)))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) -1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) 1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) 1) (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (*.f32 -1 (pow.f32 (log1p.f32 u1) 3)) 1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (.f32 -1 (pow.f32 (log1p.f32 u1) 3)) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) 1) (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) -1) (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(fma.f32 1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))) (log1p.f32 u1))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (log1p.f32 u1))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (log1p.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (.f32 -1/2 (.f32 u1 u1)))
(-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))
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(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(log1p.f32 u1)
(fma.f32 1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))) (log1p.f32 u1))
(/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (/.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (log1p.f32 u1) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (log1p.f32 u1))
(/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (/.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (log1p.f32 u1) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 1 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (.f32 (log1p.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 1 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))

localize90.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))
	0.3b	(*.f32 u2 (PI.f32))
	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 107 to 38 computations (64.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

u2

(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))

0.0ms

u2

inf

(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))

0.0ms

u2

-inf

(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))

rewrite149.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`associate-*r/`
1440×	`associate-*l/`
382×	`add-sqr-sqrt`
372×	`*-un-lft-identity`
370×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	370	51
2	4934	33

Stop Event

1×	node limit

Counts

1 → 109

Calls

Call 1

Inputs
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 0)) (*.f32 (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))) 1) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))) 1) (fma.f32 (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))) 1 (+.f32 1/2 (*.f32 -1/2 (cos.f32 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))) 1) (fma.f32 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simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

218×	`+-commutative`
122×	`*-commutative`
120×	`associate-+r+`
106×	`fma-def`
96×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	3175
1	1147	3175
2	2300	3175

Stop Event

1×

unsound

Counts

121 → 123

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(+.f32 (.f32 (-.f32 (.f32 -2/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6)) (+.f32 1 (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
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(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0)))))))
(/.f32 (-.f32 1/4 (.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))))) (-.f32 1/2 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) (-.f32 (pow.f32 (cos.f32 0) 2) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))))
(/.f32 (+.f32 1/8 (pow.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) 3)) (+.f32 1/4 (-.f32 (.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) (.f32 1/2 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))) 3)) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (-.f32 (.f32 (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) (.f32 (pow.f32 (cos.f32 0) 2) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (neg.f32 (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))
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(/.f32 (.f32 1 (-.f32 1/4 (.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))))) (-.f32 1/2 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))
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(/.f32 (.f32 1 (+.f32 1/8 (pow.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) 3))) (+.f32 1/4 (-.f32 (.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) (.f32 1/2 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))))
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(/.f32 (.f32 (sqrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)))) (sqrt.f32 (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)))) (sqrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) 2) (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)))) (cbrt.f32 (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) 2) (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)))) (cbrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)) 1) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (*.f32 -1/2 (cos.f32 0)))))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) 1) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (*.f32 -1/2 (cos.f32 0)))))))
(/.f32 (.f32 (-.f32 1/4 (.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))))) 1) (-.f32 1/2 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) 1) (-.f32 (pow.f32 (cos.f32 0) 2) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))))
(/.f32 (.f32 (+.f32 1/8 (pow.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) 3)) 1) (+.f32 1/4 (-.f32 (.f32 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) (.f32 1/2 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))))
(/.f32 (.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))) 3)) 1) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (-.f32 (.f32 (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))) (.f32 (pow.f32 (cos.f32 0) 2) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))))))
(/.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 1) (neg.f32 (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (*.f32 -1/2 (cos.f32 0))))))
(/.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6))) 1) (neg.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (*.f32 -1/2 (cos.f32 0))))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (sqrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))))) (sqrt.f32 (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6))) (sqrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0)))))) (sqrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (pow.f32 (cbrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) 2)) (cbrt.f32 (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6))) (pow.f32 (cbrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) 2)) (cbrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0))))))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (pow.f32 (cos.f32 0) 2) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (/.f32 1 (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0)))))) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4) 3)) (/.f32 1 (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0)))))) (+.f32 (.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (pow.f32 (cos.f32 0) 2) 2)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)) (.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6))) (/.f32 1 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0)))))))) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 6)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6) 3)) (/.f32 1 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (.f32 (+.f32 1/2 (.f32 -1/2 (cos.f32 0))) (+.f32 1/2 (+.f32 (pow.f32 (cos.f32 0) 2) (.f32 -1/2 (cos.f32 0)))))))) (+.f32 (.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 6)))))
(pow.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))) 1)
(pow.f32 (sqrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))) 2)
(pow.f32 (cbrt.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))) 3)
(pow.f32 (pow.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))) 2))
(log.f32 (exp.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))))))
(cbrt.f32 (pow.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))) 3))
(expm1.f32 (log1p.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))
(exp.f32 (log.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))
(exp.f32 (.f32 (log.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) 1))
(log1p.f32 (expm1.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))
(fma.f32 1 (pow.f32 (cos.f32 0) 2) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))
(fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))

Outputs
1
(+.f32 1 (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 1 (.f32 (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (.f32 u2 u2)))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(+.f32 1 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (.f32 (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (*.f32 u2 u2))))
(+.f32 (.f32 (-.f32 (.f32 -2/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6)) (+.f32 1 (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))))
(fma.f32 (-.f32 (.f32 -2/45 (pow.f32 (PI.f32) 6)) (.f32 (pow.f32 (PI.f32) 6) 2/45)) (pow.f32 u2 6) (+.f32 1 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (.f32 (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (*.f32 u2 u2)))))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(+.f32 1/2 (fma.f32 1/2 (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0)))))
1
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1
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(exp.f32 (.f32 (log.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (.f32 -1/2 (cos.f32 0))))) 1))
1
(log1p.f32 (expm1.f32 (fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))))
1
(fma.f32 1 (pow.f32 (cos.f32 0) 2) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))
1
(fma.f32 (cos.f32 0) (cos.f32 0) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))
1
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (-.f32 -1/2 (*.f32 -1/2 (cos.f32 0))))
1

eval826.0ms (5.8%)

Compiler: Compiled 36207 to 23604 computations (34.8% saved)

prune716.0ms (5.1%)

Pruning

54 alts after pruning (47 fresh and 7 done)

	Pruned	Kept	Total
New	1102	16	1118
Fresh	7	31	38
Picked	0	1	1
Done	3	6	9
Total	1112	54	1166

Error

0.0b

Counts

1166 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	7.5b	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
	7.5b	(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
	7.5b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	11.4b	(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 1/4) 2) 1)
	19.9b	(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 1/4) 2) 1)
▶	11.6b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	11.4b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	19.8b	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
	10.9b	(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
	11.3b	(.f32 (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)) 1)
	7.6b	(.f32 (.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	2.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1) 2))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)) 2)))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
	6.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (-.f32 1/2 (.f32 1/2 (cos.f32 0)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 1 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	16.6b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	10.9b	(*.f32 (sqrt.f32 u1) 1)
	30.4b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	7.8b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	11.4b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	6.9b	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
▶	9.0b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
	11.3b	(sqrt.f32 (log1p.f32 u1))
	19.8b	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1787 to 1469 computations (17.8% saved)

localize98.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))
✓	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
✓	0.2b	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)

Compiler

Compiled 62 to 21 computations (66.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	-inf	(log1p.f32 (*.f32 (PI.f32) u2))
1.0ms	u2	@	inf	(log1p.f32 (*.f32 (PI.f32) u2))
1.0ms	u2	@	0	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	0	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
0.0ms	u2	@	-inf	(cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`*-commutative`
836×	`sqrt-prod`
682×	`unswap-sqr`
566×	`swap-sqr`
394×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	238	41
2	2581	41

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (*.f32 (PI.f32) u2))
(cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (*.f32 (PI.f32) u2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) u2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (*.f32 (PI.f32) u2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2)) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) (+.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))) (/.f32 1 (+.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 (sqrt.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (PI.f32) (sqrt.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 u2 (cbrt.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (*.f32 (PI.f32) u2) (cbrt.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u2) (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (PI.f32) (cbrt.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (cbrt.f32 u2)) (pow.f32 (cbrt.f32 u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 2) -1) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 1)) 1) (-.f32 (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 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(sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))) (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)) 1) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) 1) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 3)) (+.f32 (pow.f32 (cos.f32 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(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (cos.f32 0)) (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (cos.f32 0)) 2) (*.f32 2 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))

simplify151.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-/r*`
924×	`+-commutative`
750×	`associate-+r-`
724×	`associate-r`
648×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	8606
1	1062	7426
2	5084	6926

Stop Event

1×	node limit

Counts

194 → 278

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (.f32 u2 (PI.f32))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(+.f32 (*.f32 (PI.f32) u2) 0)
(+.f32 1 (+.f32 (*.f32 (PI.f32) u2) -1))
(+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1))
(+.f32 (+.f32 (*.f32 (PI.f32) u2) 1) -1)
(+.f32 -1 (+.f32 (*.f32 (PI.f32) u2) 1))
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2)
(-.f32 (/.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 2) (+.f32 (.f32 (PI.f32) u2) 2)) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 2)))
(-.f32 (/.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 3) (+.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 2) (+.f32 (.f32 (PI.f32) u2) 2))) (/.f32 1 (+.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (.f32 (PI.f32) u2) 1)
(.f32 1 (.f32 (PI.f32) u2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 u2 (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (.f32 u2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 u2) (.f32 (PI.f32) (sqrt.f32 u2)))
(.f32 (sqrt.f32 u2) (sqrt.f32 (.f32 (PI.f32) (*.f32 (PI.f32) u2))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 u2 (cbrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 (.f32 (PI.f32) u2) (cbrt.f32 (*.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (cbrt.f32 u2) (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (PI.f32) (cbrt.f32 u2)))
(.f32 (sqrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
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(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) (pow.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 3)) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (-.f32 (.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 3)) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (-.f32 (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3) 1) (+.f32 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (+.f32 1 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))))
(/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (cos.f32 0)) (-.f32 (cos.f32 0) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (cos.f32 0)) 2) (.f32 2 (-.f32 (cos.f32 0) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 4)
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(fabs.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))
(fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (.f32 u2 (PI.f32)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 u2 (PI.f32))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 u2 (PI.f32) (.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 u2 (PI.f32))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 u2 (PI.f32) (.f32 (*.f32 -1/4 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 u2 (PI.f32) (.f32 -1/4 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 u2 (PI.f32) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/4)))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(+.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 (/.f32 1 u2) (PI.f32))) (neg.f32 (neg.f32 (log.f32 u2))))
(+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (*.f32 u2 (PI.f32))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 (/.f32 1 u2) (PI.f32))) (neg.f32 (neg.f32 (log.f32 u2)))) (/.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (.f32 u2 (PI.f32)))) (/.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))
(+.f32 (log.f32 (.f32 u2 (PI.f32))) (-.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (/.f32 1/2 (pow.f32 (.f32 u2 (PI.f32)) 2))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 (/.f32 1 u2) (PI.f32))) (fma.f32 -1 (neg.f32 (log.f32 u2)) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3)))) (/.f32 1/2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (.f32 u2 (PI.f32)))) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3))) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.f32 (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (.f32 u2 (PI.f32)))) (-.f32 (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3)) (/.f32 1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))
(-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))
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(fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (neg.f32 (PI.f32)))))
(+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (/.f32 1 (.f32 u2 (PI.f32))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (neg.f32 (PI.f32))))) (/.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))) (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (-.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))) (/.f32 1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (.f32 -1 (PI.f32))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 1/3 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (log.f32 (neg.f32 (PI.f32))) (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3))))) (/.f32 1/2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3))) (/.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))
(+.f32 (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))) (-.f32 (/.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3)) (/.f32 1/2 (pow.f32 (.f32 u2 (PI.f32)) 2))))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) -2 1)
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -2 (.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 2/3))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 (*.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
(+.f32 1 (fma.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) 2/3 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -2 (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (fma.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) 2/3 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -2 (.f32 (pow.f32 (PI.f32) 6) (.f32 -4/45 (pow.f32 u2 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(+.f32 (*.f32 (PI.f32) u2) 0)
(*.f32 u2 (PI.f32))
(+.f32 1 (+.f32 (*.f32 (PI.f32) u2) -1))
(*.f32 u2 (PI.f32))
(+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1))
(*.f32 u2 (PI.f32))
(+.f32 (+.f32 (*.f32 (PI.f32) u2) 1) -1)
(*.f32 u2 (PI.f32))
(+.f32 -1 (+.f32 (*.f32 (PI.f32) u2) 1))
(*.f32 u2 (PI.f32))
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)
(*.f32 u2 (PI.f32))
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2)
(*.f32 u2 (PI.f32))
(-.f32 (/.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 2) (+.f32 (.f32 (PI.f32) u2) 2)) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 2)))
(-.f32 (/.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (fma.f32 (PI.f32) u2 2)) (/.f32 1 (fma.f32 (PI.f32) u2 2)))
(+.f32 (/.f32 (pow.f32 (fma.f32 u2 (PI.f32) 1) 2) (fma.f32 u2 (PI.f32) 2)) (/.f32 -1 (fma.f32 u2 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u2 (PI.f32) 1) 2)) (fma.f32 u2 (PI.f32) 2))
(-.f32 (/.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 3) (+.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 2) (+.f32 (.f32 (PI.f32) u2) 2))) (/.f32 1 (+.f32 (pow.f32 (+.f32 (.f32 (PI.f32) u2) 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))
(-.f32 (/.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) (+.f32 (fma.f32 (PI.f32) u2 2) (pow.f32 (fma.f32 (PI.f32) u2 1) 2))) (/.f32 1 (+.f32 (fma.f32 (PI.f32) u2 2) (pow.f32 (fma.f32 (PI.f32) u2 1) 2))))
(+.f32 (/.f32 (pow.f32 (fma.f32 u2 (PI.f32) 1) 3) (+.f32 (fma.f32 u2 (PI.f32) 2) (pow.f32 (fma.f32 u2 (PI.f32) 1) 2))) (/.f32 -1 (+.f32 (fma.f32 u2 (PI.f32) 2) (pow.f32 (fma.f32 u2 (PI.f32) 1) 2))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u2 (PI.f32) 1) 3)) (+.f32 (fma.f32 u2 (PI.f32) 2) (pow.f32 (fma.f32 u2 (PI.f32) 1) 2)))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
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(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 3)) (fma.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))
(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3) (pow.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)) (fma.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (-.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 3)) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (-.f32 (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3)) (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3)) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4)))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3) 1) (+.f32 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (+.f32 1 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3) -1) (+.f32 (exp.f32 (+.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (+.f32 1 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)) (+.f32 (exp.f32 (.f32 2 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (+.f32 1 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 3)) (+.f32 1 (+.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (exp.f32 (.f32 2 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))))))
(/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (cos.f32 0)) (-.f32 (cos.f32 0) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 0 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(/.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2)
(/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (cos.f32 0)) 2) (.f32 2 (-.f32 (cos.f32 0) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 4)
(/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 0 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(/.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2)
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))
(/.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3)) (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3)) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4)))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(fabs.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))

localize13.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize54.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 u1)
✓	0.3b	(pow.f32 (log1p.f32 u1) 3/2)
✓	1.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
4.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
2.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1396×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1368×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	193	20
2	2094	20

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (log1p.f32 u1) 3/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))))))

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1422×	`associate-/l*`
730×	`distribute-lft-in`
718×	`distribute-rgt-in`
610×	`associate-*r/`
578×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	5406
1	884	4910
2	3155	4462

Stop Event

1×	node limit

Counts

62 → 127

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (.f32 1/3 (.f32 (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))))) (+.f32 (.f32 -1/8 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6))))))))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 3))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 -1/8 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))))))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 3)))))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(*.f32 1 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))
(.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))

Outputs
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
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(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(fabs.f32 (pow.f32 (log1p.f32 u1) 3/2))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (log1p.f32 u1) 3/2)
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(pow.f32 (log1p.f32 u1) 3/2)
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (log1p.f32 u1) 3/2)
(exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 3/2)
(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(pow.f32 (log1p.f32 u1) 3/2)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (log1p.f32 u1) 3/2)

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))
	0.1b	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.2b	(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 54 to 18 computations (66.7% saved)

series6.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
1.0ms	u2	@	0	(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))
1.0ms	u1	@	0	(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))
0.0ms	u1	@	inf	(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))
0.0ms	u2	@	inf	(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`unswap-sqr`
782×	`swap-sqr`
550×	`associate-*r/`
434×	`associate-*l/`
426×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	288	60
2	3553	32

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 u1) 1/2) (*.f32 (log1p.f32 u1) (*.f32 1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log1p.f32 u1)) (*.f32 (*.f32 1/2 (cos.f32 0)) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 u1) (+.f32 (cos.f32 0) (cos.f32 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (cos.f32 0) 4) (pow.f32 (log1p.f32 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (log1p.f32 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))))))

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1396×	`associate-/l*`
1358×	`fma-def`
1236×	`associate-/r/`
834×	`associate-/r*`
592×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	2295
1	620	2263
2	1688	1989
3	5235	1989

Stop Event

1×	node limit

Counts

85 → 145

Calls

Call 1

Inputs
1
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) 1)
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))))
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (+.f32 (.f32 (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 -8/3 (pow.f32 (PI.f32) 6))) (pow.f32 u2 6)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4)))))))
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(log.f32 (+.f32 1 u1))
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))
(+.f32 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1))))
(+.f32 (.f32 (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 -8/3 (pow.f32 (PI.f32) 6))) (.f32 (pow.f32 u2 6) (log.f32 (+.f32 1 u1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4))) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))))
(.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)))
(+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (.f32 1/3 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))
(+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1))
(+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (/.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 1/3 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))))))
(+.f32 1/2 (*.f32 1/2 (cos.f32 0)))
(+.f32 1/2 (.f32 1 (.f32 1/2 (cos.f32 0))))
(+.f32 1/2 (.f32 (.f32 1/2 (cos.f32 0)) 1))
(+.f32 (*.f32 1/2 (cos.f32 0)) 1/2)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 0) 2))) 1)
(*.f32 (cos.f32 0) (cos.f32 0))
(*.f32 (pow.f32 (cos.f32 0) 2) 1)
(*.f32 1 (pow.f32 (cos.f32 0) 2))
(.f32 (sqrt.f32 (cos.f32 0)) (.f32 (sqrt.f32 (cos.f32 0)) (cos.f32 0)))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (cbrt.f32 (pow.f32 (cos.f32 0) 4)))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (.f32 (cbrt.f32 (cos.f32 0)) (cos.f32 0)))
(*.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2))
(.f32 (.f32 (cos.f32 0) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))
(.f32 (.f32 (cos.f32 0) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)))
(.f32 (.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)))) (*.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4))) (cbrt.f32 (cos.f32 0))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4))) (cbrt.f32 (cos.f32 0))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2))) (*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2))))
(/.f32 (+.f32 (cos.f32 0) (cos.f32 0)) 2)
(/.f32 (*.f32 1 (+.f32 (cos.f32 0) (cos.f32 0))) 2)
(/.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) 1) 2)
(sqrt.f32 (pow.f32 (cos.f32 0) 4))
(log.f32 (exp.f32 (pow.f32 (cos.f32 0) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 0) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 0) 2)))
(exp.f32 (*.f32 2 (log.f32 (cos.f32 0))))
(exp.f32 (.f32 (.f32 2 (log.f32 (cos.f32 0))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 0) 2)))
(+.f32 (.f32 (log1p.f32 u1) 1/2) (.f32 (log1p.f32 u1) (*.f32 1/2 (cos.f32 0))))
(+.f32 (.f32 1/2 (log1p.f32 u1)) (.f32 (*.f32 1/2 (cos.f32 0)) (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)))) 1)
(/.f32 (*.f32 (log1p.f32 u1) (+.f32 (cos.f32 0) (cos.f32 0))) 2)
(/.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (log1p.f32 u1)) 2)
(pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 1)
(pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 2)
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 3) 1/3)
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 0) 4) (pow.f32 (log1p.f32 u1) 2)))
(log.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (cos.f32 0) 2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 3))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (log1p.f32 u1) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))

Outputs
1
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) 1)
(fma.f32 -4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))))
(+.f32 (fma.f32 -4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3)))
(fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3) 1))
(fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 16/3) 1))
(fma.f32 (.f32 u2 u2) (.f32 -4 (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 16/3) 1))
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (+.f32 (.f32 (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 -8/3 (pow.f32 (PI.f32) 6))) (pow.f32 u2 6)) (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4)))))))
(+.f32 (fma.f32 -4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1) (fma.f32 (.f32 (pow.f32 (PI.f32) 6) -128/45) (pow.f32 u2 6) (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3))))
(+.f32 (fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3) (.f32 (pow.f32 (PI.f32) 6) (*.f32 -128/45 (pow.f32 u2 6)))))
(fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 16/3) (fma.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 u2 6) -128/45) 1)))
(fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3) (fma.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 u2 6) -128/45) 1)))
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(log.f32 (+.f32 1 u1))
(log1p.f32 u1)
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))
(fma.f32 -4 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1))) (log1p.f32 u1))
(fma.f32 -4 (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1))) (log1p.f32 u1))
(.f32 (fma.f32 -4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1))
(+.f32 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1))))
(fma.f32 (pow.f32 u2 4) (.f32 (.f32 (pow.f32 (PI.f32) 4) 16/3) (log1p.f32 u1)) (fma.f32 -4 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1))) (log1p.f32 u1)))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (.f32 16/3 (log1p.f32 u1))) (fma.f32 -4 (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1))) (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) (.f32 (log1p.f32 u1) (fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 16/3)))))
(+.f32 (.f32 (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 -8/3 (pow.f32 (PI.f32) 6))) (.f32 (pow.f32 u2 6) (log.f32 (+.f32 1 u1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 6) -128/45) (.f32 (pow.f32 u2 6) (log1p.f32 u1)) (fma.f32 (pow.f32 u2 4) (.f32 (.f32 (pow.f32 (PI.f32) 4) 16/3) (log1p.f32 u1)) (fma.f32 -4 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1))) (log1p.f32 u1))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 6) -128/45) (.f32 (pow.f32 u2 6) (log1p.f32 u1)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (.f32 16/3 (log1p.f32 u1))) (fma.f32 -4 (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1))) (log1p.f32 u1))))
(+.f32 (.f32 (fma.f32 -4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1) (log1p.f32 u1)) (.f32 (log1p.f32 u1) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16/3) (.f32 (pow.f32 (PI.f32) 6) (*.f32 (pow.f32 u2 6) -128/45)))))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) u1)
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1)
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) u1 (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (.f32 (*.f32 u1 u1) -1/2)))
(.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 u1 (.f32 -1/2 (*.f32 u1 u1))))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (+.f32 u1 (.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 1/3 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3)) (fma.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 1/3 (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (pow.f32 u1 3)) (fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) u1 (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (.f32 (.f32 u1 u1) -1/2))))
(fma.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 1/3 (pow.f32 u1 3)))))
(fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (.f32 -1/2 (.f32 u1 u1)) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4))) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))))
(fma.f32 1/3 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3)) (fma.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (fma.f32 -1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))))
(fma.f32 1/3 (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (pow.f32 u1 3)) (fma.f32 -1/2 (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (.f32 u1 u1)) (fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) u1 (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (*.f32 (pow.f32 u1 4) -1/4)))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 u1 (.f32 -1/4 (pow.f32 u1 4)))) (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 1/3 (pow.f32 u1 3)))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (+.f32 u1 (.f32 -1/4 (pow.f32 u1 4)))) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (+.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 1/3 (pow.f32 u1 3)))))
(.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)))
(neg.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1))))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (neg.f32 (neg.f32 (log.f32 u1))))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 u1))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log.f32 u1))
(+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))))
(+.f32 (neg.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1)))) (/.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 (neg.f32 (neg.f32 (log.f32 u1))) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) u1))
(fma.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 u1) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (log.f32 u1) (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) u1))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))))
(+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1)) (neg.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1)))))
(-.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) u1)) (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (neg.f32 (log.f32 u1))))
(fma.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 u1) (.f32 (+.f32 (/.f32 -1/2 u1) 1) (/.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (log.f32 u1) (.f32 (+.f32 (/.f32 -1/2 u1) 1) (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1)))
(+.f32 (.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 -1 (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (.f32 1/3 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))))))
(+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1)) (fma.f32 -1 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1))) (.f32 1/3 (/.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3)))))
(+.f32 (-.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) u1)) (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (neg.f32 (log.f32 u1)))) (.f32 1/3 (/.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (pow.f32 u1 3))))
(+.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 u1) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1)) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (+.f32 -1/2 (/.f32 1/3 u1))))
(+.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (log.f32 u1) (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) u1)) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (.f32 u1 u1)) (+.f32 -1/2 (/.f32 1/3 u1))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) u1))
(fma.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) u1))
(+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (/.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) u1)))
(fma.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (.f32 (+.f32 (/.f32 -1/2 u1) 1) (/.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (.f32 (+.f32 (/.f32 -1/2 u1) 1) (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1)))
(+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 1/3 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))))))
(fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1)) (.f32 1/3 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3)))))
(fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (.f32 u1 u1)) (fma.f32 1/3 (/.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (pow.f32 u1 3)) (/.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) u1))))
(+.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1)) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (+.f32 -1/2 (/.f32 1/3 u1))))
(+.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) u1)) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (.f32 u1 u1)) (+.f32 -1/2 (/.f32 1/3 u1))))
(+.f32 1/2 (*.f32 1/2 (cos.f32 0)))
1
(+.f32 1/2 (.f32 1 (.f32 1/2 (cos.f32 0))))
1
(+.f32 1/2 (.f32 (.f32 1/2 (cos.f32 0)) 1))
1
(+.f32 (*.f32 1/2 (cos.f32 0)) 1/2)
1
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 0) 2))) 1)
1
(*.f32 (cos.f32 0) (cos.f32 0))
1
(*.f32 (pow.f32 (cos.f32 0) 2) 1)
1
(*.f32 1 (pow.f32 (cos.f32 0) 2))
1
(.f32 (sqrt.f32 (cos.f32 0)) (.f32 (sqrt.f32 (cos.f32 0)) (cos.f32 0)))
1
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (cbrt.f32 (pow.f32 (cos.f32 0) 4)))
1
(.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (.f32 (cbrt.f32 (cos.f32 0)) (cos.f32 0)))
1
(*.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2))
1
(.f32 (.f32 (cos.f32 0) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))
1
(.f32 (.f32 (cos.f32 0) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))
1
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)))
1
(.f32 (.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)))) (*.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)))))
1
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4)))))
1
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4))) (cbrt.f32 (cos.f32 0))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 0) 4))) (cbrt.f32 (cos.f32 0))))
1
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2))) (*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2))))
1
(/.f32 (+.f32 (cos.f32 0) (cos.f32 0)) 2)
1
(/.f32 (*.f32 1 (+.f32 (cos.f32 0) (cos.f32 0))) 2)
1
(/.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) 1) 2)
1
(sqrt.f32 (pow.f32 (cos.f32 0) 4))
1
(log.f32 (exp.f32 (pow.f32 (cos.f32 0) 2)))
1
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 0) 2))))
1
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3))
1
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 0) 2)))
1
(exp.f32 (*.f32 2 (log.f32 (cos.f32 0))))
1
(exp.f32 (.f32 (.f32 2 (log.f32 (cos.f32 0))) 1))
1
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 0) 2)))
1
(+.f32 (.f32 (log1p.f32 u1) 1/2) (.f32 (log1p.f32 u1) (*.f32 1/2 (cos.f32 0))))
(log1p.f32 u1)
(+.f32 (.f32 1/2 (log1p.f32 u1)) (.f32 (*.f32 1/2 (cos.f32 0)) (log1p.f32 u1)))
(log1p.f32 u1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)))) 1)
(log1p.f32 u1)
(/.f32 (*.f32 (log1p.f32 u1) (+.f32 (cos.f32 0) (cos.f32 0))) 2)
(log1p.f32 u1)
(/.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (log1p.f32 u1)) 2)
(log1p.f32 u1)
(pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 1)
(log1p.f32 u1)
(pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 2)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))) 3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 3) 1/3)
(log1p.f32 u1)
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 0) 4) (pow.f32 (log1p.f32 u1) 2)))
(sqrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 2)))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(log.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (cos.f32 0) 2)))
(log1p.f32 u1)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)))))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)) 3))
(log1p.f32 u1)
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (log1p.f32 u1) 3)))
(log1p.f32 u1)
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))
(log1p.f32 u1)
(exp.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))
(log1p.f32 u1)
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))) 1))
(log1p.f32 u1)
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1))))
(log1p.f32 u1)

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.7b	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)

Compiler

Compiled 67 to 36 computations (46.3% saved)

series17.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
5.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
1.0ms	u1	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`unswap-sqr`
924×	`swap-sqr`
386×	`distribute-rgt-in`
362×	`add-sqr-sqrt`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	384	38
2	4390	38

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/6) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/6) (neg.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (neg.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)) (neg.f32 (pow.f32 (log1p.f32 u1) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 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(log1p.f32 u1)) 3/4) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1 (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) 1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3)) 1) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) -1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3)) -1) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) 1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) -1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6))) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3)) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 u1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))))

simplify154.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-/r/`
978×	`+-commutative`
912×	`associate-r`
768×	`associate-l`
720×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	509	10812
1	1554	9166
2	6301	8976

Stop Event

1×	node limit

Counts

126 → 199

Calls

Call 1

Inputs
(.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
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(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (log1p.f32 u1) 0)
(+.f32 0 (log1p.f32 u1))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)
(-.f32 0 (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(*.f32 1 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (pow.f32 (log1p.f32 u1) 1/6) (neg.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (neg.f32 (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(*.f32 -1 (log1p.f32 u1))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)) (neg.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (neg.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (neg.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))
(*.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/6)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (neg.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(.f32 (neg.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (neg.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3)) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (log1p.f32 u1))
(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3/2)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2)))
(.f32 (.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (log1p.f32 u1))
(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (pow.f32 -1 1/2) (pow.f32 -1 1/2)) (log1p.f32 u1))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (log1p.f32 u1) 1/4)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (log1p.f32 u1) 1/4)))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)))
(/.f32 (log1p.f32 u1) 1)
(/.f32 (log1p.f32 u1) -1)
(/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (log1p.f32 u1))
(/.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(/.f32 (*.f32 1 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))
(/.f32 (*.f32 1 (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(/.f32 (*.f32 -1 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))
(/.f32 (*.f32 -1 (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) 1) (log1p.f32 u1))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3)) 1) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) -1) (log1p.f32 u1))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3)) -1) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) 1) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) -1) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6))) (pow.f32 (log1p.f32 u1) 1/6))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 1/6))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))
(/.f32 (neg.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))

Outputs
(.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
(fma.f32 -1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (+.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 (.f32 -2/3 (*.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (/.f32 1 u1))))
(fma.f32 -1/3 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) -2/3 (+.f32 (log.f32 -1) (log.f32 u1))))
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(*.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/2)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/6))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) -1) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/2)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6))) (pow.f32 (log1p.f32 u1) 1/6))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/6))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 1/6))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(log1p.f32 u1)
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))

eval783.0ms (5.5%)

Compiler: Compiled 31406 to 21926 computations (30.2% saved)

prune402.0ms (2.8%)

Pruning

62 alts after pruning (52 fresh and 10 done)

	Pruned	Kept	Total
New	881	18	899
Fresh	8	34	42
Picked	0	1	1
Done	2	9	11
Total	891	62	953

Error

0.0b

Counts

953 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	7.5b	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
	7.5b	(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
	7.5b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	11.7b	(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
	19.9b	(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3) 1)
✓	11.6b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	7.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	11.4b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	19.8b	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
	11.2b	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	10.9b	(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
	24.0b	(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3) 1)
	11.2b	(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
	13.9b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	10.9b	(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
	11.3b	(.f32 (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)) 1)
	13.6b	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	0.4b	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.0b	(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	2.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1) 2))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)) 2)))
	6.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (-.f32 1/2 (.f32 1/2 (cos.f32 0)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 1 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	6.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	16.6b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	6.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	10.9b	(*.f32 (sqrt.f32 u1) 1)
	30.4b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	7.8b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	11.4b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	6.9b	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	8.4b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
	11.3b	(sqrt.f32 (log1p.f32 u1))
	19.8b	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1076 to 905 computations (15.9% saved)

regimes372.0ms (2.6%)

Counts

89 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)) 1)
(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 1/4) 2) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 1 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (-.f32 1/2 (.f32 1/2 (cos.f32 0)))))
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1)) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)) (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(.f32 (.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (*.f32 2 (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))

Calls

10 calls:

44.0ms	(-.f32 1 u1)
40.0ms	u2
40.0ms	(.f32 (.f32 2 (PI.f32)) u2)
39.0ms	u1
39.0ms	cosTheta_i

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1484 to 793 computations (46.6% saved)

regimes367.0ms (2.6%)

Counts

85 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)) 1)
(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 1/4) 2) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 1 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (-.f32 1/2 (.f32 1/2 (cos.f32 0)))))
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1)) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 1 (pow.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 2)) (+.f32 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))

Calls

10 calls:

63.0ms	cosTheta_i
38.0ms	(.f32 (.f32 2 (PI.f32)) u2)
37.0ms	u2
36.0ms	(-.f32 1 u1)
35.0ms	u1

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1340 to 723 computations (46% saved)

regimes376.0ms (2.7%)

Counts

67 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)) 1)
(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 1/4) 2) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 1 (+.f32 1 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (+.f32 1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (-.f32 1/2 (.f32 1/2 (cos.f32 0)))))
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Calls

10 calls:

74.0ms	cosTheta_i
58.0ms	(.f32 (.f32 2 (PI.f32)) u2)
47.0ms	(-.f32 1 u1)
45.0ms	(log.f32 (-.f32 1 u1))
29.0ms	u1

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.3b	1	`(log.f32 (-.f32 1 u1))`
0.3b	1	`(-.f32 1 u1)`
0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 933 to 562 computations (39.8% saved)

regimes193.0ms (1.4%)

Counts

35 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)) 1)
(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 1/4) 2) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

Calls

9 calls:

52.0ms	cosTheta_i
34.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
17.0ms	(.f32 (.f32 2 (PI.f32)) u2)
17.0ms	u1
15.0ms	u2

Results

Error	Segments	Branch
2.0b	1	`cosTheta_i`
2.0b	1	`u1`
2.0b	1	`u2`
2.0b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.0b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.0b	1	`(log.f32 (-.f32 1 u1))`
2.0b	1	`(-.f32 1 u1)`
2.0b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.0b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 408 to 304 computations (25.5% saved)

regimes290.0ms (2%)

Counts

32 → 2

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)) 1)
(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 1/4) 2) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Calls

9 calls:

52.0ms	u1
51.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
47.0ms	u2
31.0ms	(-.f32 1 u1)
28.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
2.9b	1	`cosTheta_i`
1.6b	2	`u1`
1.5b	2	`u2`
1.6b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
1.6b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
1.6b	2	`(log.f32 (-.f32 1 u1))`
1.6b	2	`(-.f32 1 u1)`
1.5b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.5b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 367 to 276 computations (24.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
1.0ms	0.0002838134823832661	0.0003180075727868825

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes206.0ms (1.5%)

Counts

31 → 2

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)) 1)
(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 1/4) 2) 1)
(.f32 (pow.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(.f32 (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)) 1)

Outputs
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)

Calls

9 calls:

29.0ms	(.f32 (.f32 2 (PI.f32)) u2)
28.0ms	(-.f32 1 u1)
27.0ms	u2
27.0ms	u1
24.0ms	(log.f32 (-.f32 1 u1))

Results

Error	Segments	Branch
6.8b	1	`cosTheta_i`
4.2b	2	`u1`
2.9b	2	`u2`
4.2b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
4.2b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
4.2b	2	`(log.f32 (-.f32 1 u1))`
4.2b	2	`(-.f32 1 u1)`
2.9b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 351 to 265 computations (24.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999969005584717	0.9999972581863403

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes75.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))

Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)

Calls

7 calls:

16.0ms	cosTheta_i
11.0ms	u1
10.0ms	(log.f32 (-.f32 1 u1))
10.0ms	(-.f32 1 u1)
10.0ms	u2

Results

Error	Segments	Branch
6.8b	1	`cosTheta_i`
6.8b	1	`u1`
6.8b	1	`u2`
6.8b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
6.8b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
6.8b	1	`(log.f32 (-.f32 1 u1))`
6.8b	1	`(-.f32 1 u1)`

Compiler

Compiled 209 to 156 computations (25.4% saved)

regimes19.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)

Calls

3 calls:

7.0ms	u1
5.0ms	u2
5.0ms	cosTheta_i

Results

Error	Segments	Branch
7.6b	1	`cosTheta_i`
7.6b	1	`u1`
7.6b	1	`u2`

Compiler

Compiled 84 to 60 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)

Calls

3 calls:

5.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Error	Segments	Branch
7.9b	1	`cosTheta_i`
7.9b	1	`u1`
7.9b	1	`u2`

Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)

Calls

3 calls:

5.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
8.5b	1	`cosTheta_i`
8.5b	1	`u1`
8.5b	1	`u2`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)

Outputs
(*.f32 (sqrt.f32 u1) 1)

Calls

3 calls:

3.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
10.9b	1	`cosTheta_i`
10.9b	1	`u1`
10.9b	1	`u2`

Compiler

Compiled 25 to 20 computations (20% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

192×	`distribute-lft-neg-in`
144×	`*-commutative`
108×	`distribute-rgt-neg-in`
88×	`+-commutative`
76×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	591
1	139	591
2	173	587
3	238	571
4	298	571
5	375	571
6	464	571
7	545	571
8	562	571
9	564	571

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5153961/17179869184) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388583/8388608) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 u1) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (.f32 u1 -1/3)))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 1/3))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5153961/17179869184) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 5153961/17179869184) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 5153961/17179869184) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 -1/2))))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 5153961/17179869184) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 u1 (.f32 u1 (*.f32 u1 1/2))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388583/8388608) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 8388583/8388608) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4))))) u1)))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (-.f32 -1/2 (.f32 u1 (+.f32 (.f32 u1 1/4) 1/3))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (*.f32 u1 -1/3))))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) -1/2) u1)))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) -1/2)))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)

Compiler

Compiled 212 to 161 computations (24.1% saved)

soundness106.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1440×	`associate-*r/`
1042×	`associate-r`
982×	`associate-l`
710×	`+-commutative`
614×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41
0	443	9241
1	1176	8077
2	5814	7993

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 228 to 95 computations (58.3% saved)

end73.0ms (0.5%)

Compiler: Compiled 182 to 95 computations (47.8% saved)

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Iter	Nodes	Cost
0	82	591
1	139	591
2	173	587
3	238	571
4	298	571
5	375	571
6	464	571
7	545	571
8	562	571
9	564	571

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Iter	Nodes	Cost
0	82	591
1	139	591
2	173	587
3	238	571
4	298	571
5	375	571
6	464	571
7	545	571
8	562	571
9	564	571

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Iter	Nodes	Cost
0	82	591
1	139	591
2	173	587
3	238	571
4	298	571
5	375	571
6	464	571
7	545	571
8	562	571
9	564	571