Details

analyze171.0ms (1.1%)

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)

sample2.6s (17.2%)

Results

2.6s	8256×	body	256	valid
1.0ms	6×	body	256	precondition

Bogosity

preprocess52.0ms (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)

simplify52.0ms (0.3%)

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))))

eval1.0ms (0%)

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

prune1.0ms (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

Accurracy

99.1%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	57.5%	(.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)

localize97.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.5%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
✓	98.8%	(.f32 (.f32 2 (PI.f32)) u2)
✓	55.5%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series6.0ms (0%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
1.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
1.0ms	u2	@	0	(.f32 (.f32 2 (PI.f32)) u2)
0.0ms	u2	@	inf	(.f32 (.f32 2 (PI.f32)) u2)

rewrite106.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`unswap-sqr`
856×	`swap-sqr`
510×	`associate-*r/`
492×	`distribute-rgt-in`
446×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	319	56
2	3833	56

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

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

simplify141.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-/r/`
710×	`associate-r`
682×	`distribute-lft-neg-in`
680×	`associate-l`
674×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	493	7005
1	1268	6071
2	4710	5965

Stop Event

1×	node limit

Counts

225 → 312

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

localize92.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.6%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	98.8%	(*.f32 (PI.f32) u2)

Compiler

Compiled 47 to 19 computations (59.6% saved)

series33.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
27.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`unswap-sqr`
860×	`swap-sqr`
518×	`sqr-pow`
434×	`distribute-rgt-in`
392×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	323	70
2	3934	70

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(*.f32 (PI.f32) u2)
(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 2 (*.f32 (PI.f32) u2))))

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-*r/`
1054×	`associate-r`
978×	`associate-l`
712×	`+-commutative`
614×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	9303
1	1188	8139
2	5832	8055

Stop Event

1×	node limit

Counts

189 → 263

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

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

eval276.0ms (1.8%)

Compiler: Compiled 15583 to 9487 computations (39.1% saved)

prune144.0ms (1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	549	26	575
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	549	28	577

Accurracy

99.9%

Counts

577 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	74.5%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	74.4%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	74.3%	(.f32 (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
▶	98.4%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.3%	(.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)))
	93.7%	(.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)))
	89.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (.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))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	53.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	55.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	77.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	95.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	98.7%	(.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 u2)))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	89.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	79.8%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	73.6%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
▶	72.3%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))

Compiler

Compiled 1031 to 849 computations (17.7% saved)

localize145.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.1%	(-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))
✓	98.8%	(*.f32 (PI.f32) (+.f32 u2 u2))
	98.8%	(*.f32 (PI.f32) u2)
✓	98.3%	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)

Compiler

Compiled 112 to 39 computations (65.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
0.0ms	u2	@	0	(-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))
0.0ms	u2	@	inf	(-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))
0.0ms	u2	@	-inf	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
0.0ms	u2	@	-inf	(-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`associate-*r/`
800×	`associate-*l/`
702×	`distribute-rgt-in`
676×	`distribute-lft-in`
348×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	83
1	340	83
2	4342	47

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

(0)

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

simplify159.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-r`
1220×	`associate-l`
874×	`associate-/l*`
674×	`*-commutative`
496×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	5128
1	1515	4486
2	2933	4430

Stop Event

1×	node limit

Counts

174 → 233

Calls

Call 1

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

Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) (*.f32 -1/3 (pow.f32 u2 4))))
(fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 u2 4) (*.f32 -1/3 (pow.f32 (PI.f32) 4))))
(+.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))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) (.f32 -1/3 (pow.f32 u2 4)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 u2 4) (.f32 -1/3 (pow.f32 (PI.f32) 4)))))
(+.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)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) (*.f32 -1/3 (pow.f32 u2 4))))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 u2 4) (*.f32 -1/3 (pow.f32 (PI.f32) 4))))))
(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))) 2)
(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))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 u2 (.f32 2 (PI.f32)))
1/2
(+.f32 1/2 (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 (.f32 (.f32 u2 u2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) 1/2)
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) 1/2)
(+.f32 1/2 (+.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 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (.f32 (*.f32 u2 u2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) 1/2)
(+.f32 (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) 1/2) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3)))
(+.f32 (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) 1/2) (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 2/3)))
(+.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 1/2 (+.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)))))
(fma.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 6) -2/45) (.f32 (pow.f32 (PI.f32) 6) 2/45)) (pow.f32 u2 6) (+.f32 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (.f32 (*.f32 u2 u2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) 1/2))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45) (+.f32 (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) 1/2) (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45) (+.f32 (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) 1/2) (.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 2/3))))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 (*.f32 1/2 (cos.f32 0))))) 1)
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 1/2))) 1)
0
(-.f32 1/2 (*.f32 1/2 (cos.f32 0)))
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 1/2))) 1)
0
(-.f32 (exp.f32 (log.f32 (-.f32 3/2 (*.f32 1/2 (cos.f32 0))))) 1)
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 1/2))) 1)
0
(.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0))) 1)
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 1/2))) 1)
0
(.f32 1 (-.f32 1/2 (.f32 1/2 (cos.f32 0))))
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 1/2))) 1)
0
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (cbrt.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)))
(.f32 (cbrt.f32 0) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))
(.f32 (cbrt.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0)))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(.f32 (cbrt.f32 0) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cbrt.f32 0) (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)) (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))))
(.f32 (cbrt.f32 0) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cbrt.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))
(.f32 (cbrt.f32 0) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cbrt.f32 0) (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) (cos.f32 0)) 2)
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 1/2))) 1)
0
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(-.f32 1/2 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 1/4))
(+.f32 1/2 (.f32 -4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6)))
(/.f32 (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 0) 3) 1/8) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (sqrt.f32 (+.f32 (.f32 (pow.f32 (cos.f32 0) 2) 1/4) (.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0))) (-.f32 (pow.f32 (cos.f32 0) 2) (.f32 1/2 (cos.f32 0))))))) (sqrt.f32 (+.f32 (.f32 (pow.f32 (cos.f32 0) 2) 1/4) (.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0))) (-.f32 (pow.f32 (cos.f32 0) 2) (.f32 1/2 (cos.f32 0)))))))
(-.f32 1/2 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 1/4))
(+.f32 1/2 (.f32 -4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6)))
(/.f32 (/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 0) 3) 1/8) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (cos.f32 0) 2) 1/4) (.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0))) (-.f32 (pow.f32 (cos.f32 0) 2) (.f32 1/2 (cos.f32 0)))))) (cbrt.f32 (+.f32 (.f32 (pow.f32 (cos.f32 0) 2) 1/4) (.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0))) (-.f32 (pow.f32 (cos.f32 0) 2) (.f32 1/2 (cos.f32 0)))))))) (cbrt.f32 (+.f32 (.f32 (pow.f32 (cos.f32 0) 2) 1/4) (.f32 (-.f32 1/2 (.f32 1/2 (cos.f32 0))) (-.f32 (pow.f32 (cos.f32 0) 2) (*.f32 1/2 (cos.f32 0)))))))
(-.f32 1/2 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 1/4))
(+.f32 1/2 (.f32 -4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6)))
(pow.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 1)
1/2
(pow.f32 (sqrt.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2)
1/2
(pow.f32 (cbrt.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 3)
1/2
(pow.f32 (pow.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3) 1/3)
1/2
(sqrt.f32 (pow.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 2))
1/2
(log.f32 (exp.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
1/2
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))
1/2
(cbrt.f32 (pow.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3))
1/2
(expm1.f32 (log1p.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
1/2
(exp.f32 (log.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
1/2
(exp.f32 (.f32 (log.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (.f32 1/2 (cos.f32 0))))) 1))
1/2
(log1p.f32 (expm1.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
1/2
(fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
1/2
(fma.f32 (cos.f32 0) 1/2 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
1/2
(fma.f32 1 (.f32 1/2 (cos.f32 0)) (+.f32 -1/2 (.f32 1/2 (cos.f32 0))))
1/2
(fma.f32 (sqrt.f32 (.f32 1/2 (cos.f32 0))) (sqrt.f32 (.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
1/2
(fma.f32 (cbrt.f32 (.f32 (pow.f32 (cos.f32 0) 2) 1/4)) (cbrt.f32 (.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
(fma.f32 (cbrt.f32 1/4) (cbrt.f32 1/2) 0)
(*.f32 (cbrt.f32 1/4) (cbrt.f32 1/2))

localize28.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f32 (neg.f32 u1))
	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series0.0ms (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))

rewrite81.0ms (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

((-.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))))

simplify53.0ms (0.3%)

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)

localize88.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
✓	99.5%	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2))
✓	99.2%	(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
	98.8%	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 54 to 18 computations (66.7% saved)

series59.0ms (0.4%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	u1	@	inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
15.0ms	u2	@	inf	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2))
3.0ms	u1	@	-inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
1.0ms	u1	@	0	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
1.0ms	u2	@	0	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`unswap-sqr`
840×	`swap-sqr`
566×	`associate-*r/`
460×	`distribute-rgt-in`
450×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	308	93
2	3789	51

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

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

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

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

Outputs

((+.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 (*.f32 (pow.f32 (cos.f32 0) 4) (pow.f32 (log1p.f32 u1) 2)) 1/2) (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)))) (log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (log1p.f32 u1)))))

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

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1244×	`distribute-lft-in`
1238×	`distribute-rgt-in`
778×	`associate-*r/`
680×	`associate-+r+`
610×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	5259
1	1029	4927
2	3194	4895

Stop Event

1×	node limit

Counts

137 → 217

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

localize106.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.5%	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
✓	99.2%	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
	98.8%	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 78 to 26 computations (66.7% saved)

series3.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
0.0ms	u1	@	0	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
0.0ms	u1	@	inf	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
0.0ms	u1	@	0	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`add-sqr-sqrt`
1908×	`*-un-lft-identity`
1780×	`add-cube-cbrt`
1764×	`add-cbrt-cube`
226×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	231	46
2	3087	46

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))

Outputs

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

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

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/r*`
1000×	`distribute-lft-in`
828×	`*-commutative`
660×	`+-commutative`
640×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	5527
1	784	4617
2	3207	4609

Stop Event

1×	node limit

Counts

109 → 181

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

localize92.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.5%	(sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)))
	98.8%	(.f32 (.f32 2 (PI.f32)) u2)
✓	97.9%	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)

Compiler

Compiled 67 to 36 computations (46.3% saved)

series11.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
3.0ms	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)
0.0ms	u1	@	0	(sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)))
0.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)))

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1414×	`*-un-lft-identity`
1338×	`add-cube-cbrt`
1326×	`add-cbrt-cube`
1310×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	226	14
2	2516	14

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)))

Outputs

((+.f32 0 (log1p.f32 u1)) (-.f32 0 (log1p.f32 u1)) (-.f32 (+.f32 1 (log1p.f32 u1)) 1) (*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (log1p.f32 u1) 1) (*.f32 (log1p.f32 u1) -1) (*.f32 1 (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 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (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 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (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 -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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1) (cbrt.f32 (log1p.f32 u1))) (*.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 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (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 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))) (*.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3) (cbrt.f32 (log1p.f32 u1))) (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1)) (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1))))) (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))

((-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) (*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 1 (sqrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 1) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)) (*.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 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 1 3/2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2)) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (log1p.f32 u1) 1/2) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (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)) (exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3/2)) (log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1572×	`associate-/r*`
1532×	`associate-/l*`
906×	`+-commutative`
826×	`associate-*r/`
660×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	7620
1	1137	6578
2	4445	6578

Stop Event

1×	node limit

Counts

82 → 136

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)))))
(+.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 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.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))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/9))) (+.f32 (.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))) (+.f32 (.f32 2/9 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3) (/.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3) (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))))) (.f32 2/9 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 8)) 1/9)))) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))) (pow.f32 u1 3)))) (+.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 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))))))
(.f32 -1 (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3))) (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3)))) u1)) (.f32 -1 (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3))) (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3)))) u1)) (+.f32 (.f32 2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3) (/.f32 1 (pow.f32 u1 2))))) (+.f32 (.f32 -1 (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (pow.f32 u1 2)))) (.f32 (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (cbrt.f32 -1)))) (.f32 1/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))))) (pow.f32 u1 2)))))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3))) (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3)))) u1)) (+.f32 (.f32 2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3) (/.f32 1 (pow.f32 u1 2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (cbrt.f32 -1)))) (.f32 1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))))))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (-.f32 1/3 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 1/27 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))))) (+.f32 (.f32 (.f32 (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 8)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 8)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (-.f32 1/3 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 1/27 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))) (cbrt.f32 -1))))) (cbrt.f32 -1)) (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3)) (.f32 -2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))))))))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (cbrt.f32 -1)))) (.f32 1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))))) (pow.f32 u1 2))) (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (pow.f32 u1 2)))))))))
(.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 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 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (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 (sqrt.f32 -1) u1) (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 1/3 (.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))) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.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)) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.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)) (pow.f32 u1 2)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.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)))))) (pow.f32 u1 3)))))))
(+.f32 0 (log1p.f32 u1))
(-.f32 0 (log1p.f32 u1))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(*.f32 1 (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 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (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 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (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 -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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1) (cbrt.f32 (log1p.f32 u1)))
(.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 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (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 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(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)
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4))
(*.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 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 3/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(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))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3/2))
(log1p.f32 (expm1.f32 (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 (/.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))) -2/3)))
(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))))
(+.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 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.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))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))
(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))) (fma.f32 -1/3 (.f32 1 (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18)))) (.f32 u1 u1))) (+.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (fma.f32 -2/3 (.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))) (fma.f32 (/.f32 (fma.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18)))) (cbrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 1/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4)) 1/18)))) (.f32 u1 u1)) (cbrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 2/9 (.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18)) (/.f32 1 (.f32 u1 u1)))))))))
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eval759.0ms (5%)

Compiler: Compiled 36556 to 25261 computations (30.9% saved)

prune578.0ms (3.8%)

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1075	18	1093
Fresh	5	16	21
Picked	1	0	1
Done	2	4	6
Total	1083	38	1121

Accurracy

99.9%

Counts

1121 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	63.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	64.7%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	74.4%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	69.7%	(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))
	74.3%	(.f32 (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
▶	79.4%	(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
	98.3%	(.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)))
	77.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	93.7%	(.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)))
	89.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) 1)
	74.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	79.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) 1)
	98.6%	(.f32 (sqrt.f32 (neg.f32 (.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))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	53.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	55.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	77.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	66.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.7%	(.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 u2)))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	89.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (+.f32 1/2 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	79.8%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	4.2%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	73.6%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	64.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
▶	64.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	74.3%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
	64.9%	(sqrt.f32 (log1p.f32 u1))
	37.4%	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1187 to 988 computations (16.8% saved)

localize99.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.5%	(sqrt.f32 (*.f32 (PI.f32) u2))
	98.8%	(*.f32 (PI.f32) u2)
✓	98.3%	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)

Compiler

Compiled 66 to 28 computations (57.6% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1558×	`*-un-lft-identity`
1442×	`add-cube-cbrt`
1424×	`add-cbrt-cube`
1408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	200	22
2	2026	22

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-+r+`
1190×	`distribute-lft-in`
1168×	`associate-+l+`
1148×	`distribute-rgt-in`
784×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1261
1	234	967
2	884	677
3	2881	677

Stop Event

1×	node limit

Counts

53 → 63

Calls

Call 1

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

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

localize41.0ms (0.3%)

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

localize81.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f32 u1)
✓	99.5%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
✓	99.0%	(pow.f32 (log1p.f32 u1) 3/2)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series7.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
2.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	-inf	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
0.0ms	u1	@	0	(pow.f32 (log1p.f32 u1) 3/2)

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`add-sqr-sqrt`
1292×	`*-un-lft-identity`
1218×	`add-cube-cbrt`
1204×	`add-cbrt-cube`
1192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	160	25
2	1817	25

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

((-.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) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.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)))) (log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))

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

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

956×	`associate-/r*`
724×	`times-frac`
580×	`associate-*r/`
546×	`+-commutative`
532×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	4679
1	774	3989
2	2906	3337

Stop Event

1×	node limit

Counts

89 → 183

Calls

Call 1

Inputs
(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 (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 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 3))) (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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (+.f32 (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 1/3 (.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))))) (pow.f32 u1 3)))))))
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) 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) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.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))))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.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 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.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))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 1 (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 (pow.f32 (log1p.f32 u1) 3/4) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 2/3)
(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
(sqrt.f32 (pow.f32 u1 3))
(pow.f32 u1 3/2)
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(fma.f32 -3/4 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 -3/4 (pow.f32 u1 5/2) (pow.f32 u1 3/2))
(+.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)) (fma.f32 -3/4 (sqrt.f32 (pow.f32 u1 5)) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 -3/4 (pow.f32 u1 5/2) (pow.f32 u1 3/2)) (*.f32 19/32 (pow.f32 u1 7/2)))
(+.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 (pow.f32 u1 3)) (fma.f32 -3/4 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 -63/128 (sqrt.f32 (pow.f32 u1 9)) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 -3/4 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 7)) (*.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))))))
(+.f32 (fma.f32 -3/4 (pow.f32 u1 5/2) (pow.f32 u1 3/2)) (fma.f32 19/32 (pow.f32 u1 7/2) (*.f32 -63/128 (pow.f32 u1 9/2))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (pow.f32 (log.f32 u1) 3))))
(*.f32 (sqrt.f32 -1) (pow.f32 (neg.f32 (log.f32 u1)) 3/2))
(+.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))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.f32 -3/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (pow.f32 (log.f32 u1) 3))) (.f32 -3/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(fma.f32 (sqrt.f32 -1) (pow.f32 (neg.f32 (log.f32 u1)) 3/2) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -3/2 (/.f32 (sqrt.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)))))))
(fma.f32 (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 3/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (/.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.f32 -3/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (neg.f32 (log.f32 u1)))))))
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(*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(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 (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 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(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))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)))
(pow.f32 (log1p.f32 u1) 1/2)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) 2)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(-.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 (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)
(*.f32 1 (log1p.f32 u1))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.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 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.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 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 4))
(*.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 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 4))
(pow.f32 (log1p.f32 u1) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 2/3)
(+.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)
(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)
(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)

localize101.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f32 (neg.f32 u1))
✓	99.7%	(cbrt.f32 (log1p.f32 (neg.f32 u1)))
	99.5%	(sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)))
	97.9%	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)

Compiler

Compiled 46 to 23 computations (50% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(cbrt.f32 (log1p.f32 (neg.f32 u1)))
1.0ms	u1	@	inf	(cbrt.f32 (log1p.f32 (neg.f32 u1)))
0.0ms	u1	@	0	(cbrt.f32 (log1p.f32 (neg.f32 u1)))

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
844×	`pow1`
838×	`add-cube-cbrt`
828×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	118	9
2	1417	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

((-.f32 (+.f32 (cbrt.f32 (log1p.f32 u1)) 1) 1) (*.f32 (cbrt.f32 (log1p.f32 u1)) 1) (*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 1 1/3)) (*.f32 1 (cbrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/3)) (*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (pow.f32 1 1/3) (cbrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3)) (*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 1/3) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))) (log.f32 (exp.f32 (cbrt.f32 (log1p.f32 u1)))) (expm1.f32 (log1p.f32 (cbrt.f32 (log1p.f32 u1)))) (exp.f32 (log.f32 (cbrt.f32 (log1p.f32 u1)))) (log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 u1)))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1412×	`distribute-lft-in`
1264×	`associate-/l/`
1134×	`associate-r`
1026×	`associate-l`
876×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	2470
1	366	2114
2	1251	2070
3	5563	2070

Stop Event

1×	node limit

Counts

28 → 52

Calls

Call 1

Inputs
(pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) 1/3)
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/9) (/.f32 1 u1))) (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 1/3))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/9) (/.f32 1 u1))) (pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) 1/3)))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/9) (/.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)))) 2)) 1/3) (/.f32 (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))) (pow.f32 u1 3)))) (pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) 1/3))))
(.f32 (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3) (cbrt.f32 -1))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))) (.f32 (pow.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3) (cbrt.f32 -1)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2))))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))) (.f32 (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3) (cbrt.f32 -1))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/3) (/.f32 (-.f32 1/3 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 1/27 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3))))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2))))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))) (.f32 (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3) (cbrt.f32 -1)))))
(-.f32 (+.f32 (cbrt.f32 (log1p.f32 u1)) 1) 1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) 1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 1 1/3))
(*.f32 1 (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/3))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 2)
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3)
(sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)))
(log.f32 (exp.f32 (cbrt.f32 (log1p.f32 u1))))
(expm1.f32 (log1p.f32 (cbrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 u1))))

Outputs
(pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) 1/3)
(cbrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))
(cbrt.f32 (+.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)))) 2)) 1/9) (/.f32 1 u1))) (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 1/3))
(fma.f32 -1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2)) 1/18))) (cbrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
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(fma.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2))) (/.f32 (-.f32 1/3 (fma.f32 -2/3 (.f32 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/18)) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (+.f32 1/2 (.f32 1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18)) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))))) (.f32 1/27 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2))))))) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2))) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18)) (cbrt.f32 (/.f32 1 (cbrt.f32 -1)))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 -1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/18)) (.f32 (/.f32 1 u1) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))))) (.f32 (cbrt.f32 (log.f32 (/.f32 -1 u1))) (cbrt.f32 -1)))))
(+.f32 (fma.f32 -1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/18)) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)) (.f32 (cbrt.f32 (log.f32 (/.f32 -1 u1))) (cbrt.f32 -1))) (.f32 (.f32 -1/3 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)))) (+.f32 (/.f32 (-.f32 1/3 (fma.f32 -2/3 (.f32 (.f32 (.f32 (fma.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18))) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1/2) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/18)) (.f32 1/27 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2))) (pow.f32 (cbrt.f32 -1) 2))))) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2))) (/.f32 (fma.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18))) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1/2) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))))))
(fma.f32 -1/3 (.f32 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2))) (pow.f32 (cbrt.f32 -1) 2)) (+.f32 (/.f32 (-.f32 1/3 (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2))) (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (.f32 (.f32 (.f32 (fma.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18)) (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1)))) 1/2) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -2/3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/18)))) (pow.f32 u1 3)) (/.f32 (fma.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18)) (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1)))) 1/2) (.f32 u1 u1)))) (fma.f32 -1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/18)) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)) (*.f32 (cbrt.f32 (log.f32 (/.f32 -1 u1))) (cbrt.f32 -1))))
(fma.f32 -1/3 (.f32 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2))) (pow.f32 (cbrt.f32 -1) 2)) (+.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18)) (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1)))) 1/2) (.f32 u1 u1)) (/.f32 (-.f32 1/3 (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2))) (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (.f32 (.f32 (.f32 (fma.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18) (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/18)) (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1)))) 1/2) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5))) -2/3)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/18)) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/18)))) (pow.f32 u1 3)))) (fma.f32 -1/3 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/18)) (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1)) (*.f32 (cbrt.f32 (log.f32 (/.f32 -1 u1))) (cbrt.f32 -1))))
(-.f32 (+.f32 (cbrt.f32 (log1p.f32 u1)) 1) 1)
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log1p.f32 u1)) 1)
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 1 1/3))
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(*.f32 1 (cbrt.f32 (log1p.f32 u1)))
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/6))
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/3))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (log1p.f32 u1)))
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))))
(pow.f32 (log1p.f32 u1) 1/3)
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 1)
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 2)
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3)
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)))
(log.f32 (exp.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (cbrt.f32 (log1p.f32 u1)) 0)
(cbrt.f32 (log1p.f32 u1))

localize127.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(+.f32 1/2 (+.f32 1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))
	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	98.8%	(*.f32 u2 (PI.f32))
✓	98.3%	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 84 to 42 computations (50% saved)

series1.0ms (0%)

Counts

3 → 16

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	-inf	(+.f32 1/2 (+.f32 1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))
0.0ms	u2	@	inf	(+.f32 1/2 (+.f32 1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))
0.0ms	u2	@	0	(+.f32 1/2 (+.f32 1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -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)

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`associate-*r/`
762×	`distribute-rgt-in`
748×	`associate-*l/`
738×	`distribute-lft-in`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	321	59
2	3886	59

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

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

((-.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 (PI.f32)) u2)) (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)))))

((-.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 0) (-.f32 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2))) 1/2) (-.f32 (exp.f32 (log.f32 (+.f32 2 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) 1) (-.f32 (/.f32 1/4 (+.f32 1/2 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (-.f32 (/.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (+.f32 1/2 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1/2)) (-.f32 (/.f32 1/4 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) (/.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2) (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (-.f32 (+.f32 2 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) 1) (-.f32 (+.f32 1/2 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2)))) 1) (-.f32 (+.f32 1/2 (/.f32 1/4 (+.f32 1/2 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (/.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (+.f32 1/2 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (*.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 1) (*.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) (*.f32 (hypot.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 -2))) (hypot.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 -2)))) (*.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) (pow.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2)) (*.f32 (pow.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2) (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))) (*.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (/.f32 1 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (*.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (/.f32 1 (+.f32 1/4 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(*.f32 (sqrt.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3))) (hypot.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 -2)))) (sqrt.f32 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (/.f32 (*.f32 (sqrt.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2))) (hypot.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 -2)))) (sqrt.f32 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (/.f32 (*.f32 (cbrt.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3))) (pow.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2)) (cbrt.f32 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (/.f32 (*.f32 (cbrt.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2))) (pow.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2)) (cbrt.f32 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (/.f32 (*.f32 (-.f32 1/16 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2))) (/.f32 1 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2) 1/4)) (/.f32 (*.f32 (-.f32 1/64 (pow.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2) 3)) (/.f32 1 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (+.f32 1/16 (+.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (*.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2))))) (/.f32 (*.f32 (-.f32 1/64 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3))) (/.f32 1 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (-.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3))) (/.f32 (*.f32 (+.f32 1/512 (pow.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3) 3)) (/.f32 1 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (+.f32 1/64 (-.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (*.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3))))) (/.f32 (/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2)) 1) (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) (/.f32 (/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (sqrt.f32 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (/.f32 (/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (*.f32 (cbrt.f32 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) (cbrt.f32 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))) (cbrt.f32 (-.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (/.f32 (/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3)) 1) (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (/.f32 (/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (sqrt.f32 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (sqrt.f32 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (/.f32 (/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (*.f32 (cbrt.f32 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (cbrt.f32 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))) (cbrt.f32 (+.f32 1/4 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 1) (pow.f32 (hypot.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 -2))) 2) (pow.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 3) (pow.f32 (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 3) 1/3) (sqrt.f32 (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 2)) (log.f32 (exp.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))) (log.f32 (+.f32 1 (expm1.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)))) (cbrt.f32 (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 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 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))) (fma.f32 1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 1/2) (fma.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2)) (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2)) 1/2) (fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2)) 2) (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2)) 1/2))

simplify145.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1646×	`associate-/r*`
1612×	`associate-/l*`
924×	`associate-*r/`
716×	`associate-+r+`
708×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	361	8507
1	969	8265
2	3658	8265

Stop Event

1×	node limit

Counts

135 → 211

Calls

Call 1

Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.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 (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 (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)))))
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 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)))
(+.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)))
(+.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)))
(+.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)))
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1)
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)
(.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.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 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)
(/.f32 (.f32 1 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 2)
(/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 1) 2)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(exp.f32 (.f32 2 (log.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(exp.f32 (.f32 (.f32 2 (log.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.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 (PI.f32)) u2))
(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))))
(-.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 0)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2))) 1/2)
(-.f32 (exp.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))) 1)
(-.f32 (/.f32 1/4 (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (/.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) 1/2))
(-.f32 (/.f32 1/4 (-.f32 0 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) (/.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2) (-.f32 0 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
(-.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 1)
(-.f32 (+.f32 1/2 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2)))) 1)
(-.f32 (+.f32 1/2 (/.f32 1/4 (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (/.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 1)
(.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))
(.f32 (hypot.f32 1 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 -2))) (hypot.f32 1 (.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 -2))))
(.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) (pow.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) 2) (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)))
(.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (/.f32 1 (-.f32 0 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (/.f32 1 (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))
(.f32 (/.f32 1 (-.f32 0 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)))
(.f32 (/.f32 1 (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)))
(.f32 (/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2))) (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))
(.f32 (/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (-.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3))) (+.f32 1/4 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))))
(.f32 (/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (-.f32 1/16 (.f32 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) (-.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
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(log.f32 (exp.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1))))
(cbrt.f32 (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 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 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)))
(fma.f32 1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 1/2)
(fma.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)) (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)) 1/2)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)) 2) (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)) 1/2)

Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 u2 (PI.f32)) 2)
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 u2 (PI.f32)) 2))
(+.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))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.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)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (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 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) -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 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2)))
(+.f32 1 (fma.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) 2/3 (.f32 -2 (pow.f32 (*.f32 u2 (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 (.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))))))
(fma.f32 -2 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45)) (+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2))))
(+.f32 (fma.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) 2/3 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))) (fma.f32 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45)) -2 1))
(fma.f32 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45)) -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 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 1/2 (.f32 -1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 1/2 (.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) -1/2))
(+.f32 1/2 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) -1/2))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)
(/.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)
(-.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2))
(-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(/.f32 (.f32 1 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 2)
(/.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)
(-.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2))
(-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 1) 2)
(/.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)
(-.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2))
(-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(cbrt.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(exp.f32 (.f32 2 (log.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(exp.f32 (.f32 (.f32 2 (log.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 1))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(*.f32 u2 (PI.f32))
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 1))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(-.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 0)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2))) 1/2)
(+.f32 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2))) -1/2)
(+.f32 1/2 (expm1.f32 (log1p.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2))))
(-.f32 (exp.f32 (log.f32 (+.f32 2 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(-.f32 (/.f32 1/4 (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (/.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) 1/2))
(+.f32 (-.f32 (/.f32 1/4 (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (/.f32 4 (/.f32 (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) 1/2)
(+.f32 (+.f32 1/2 (/.f32 1/4 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2))) (/.f32 -4 (/.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))
(+.f32 1/2 (+.f32 (/.f32 1/4 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)) (/.f32 -4 (/.f32 (fma.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(-.f32 (/.f32 1/4 (-.f32 0 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) (/.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2) (-.f32 0 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
(/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (neg.f32 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.f32 (-.f32 1/4 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 2)) (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 (-.f32 1/4 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 2)) (/.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (+.f32 2 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(-.f32 (+.f32 1/2 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2)))) 1)
(+.f32 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2))) -1/2)
(+.f32 1/2 (expm1.f32 (log1p.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2))))
(-.f32 (+.f32 1/2 (/.f32 1/4 (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (/.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
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(/.f32 (.f32 (+.f32 1/512 (pow.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3) 3)) (/.f32 1 (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) (+.f32 1/64 (-.f32 (.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3)))))
(/.f32 (+.f32 1/512 (pow.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3) 3)) (.f32 (+.f32 1/4 (fma.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (+.f32 1/64 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 6)) (.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 3)))))
(/.f32 (+.f32 1/512 (pow.f32 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 3) 3)) (.f32 (+.f32 1/4 (-.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (fma.f32 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 3) (+.f32 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2) 3) -1/8) 1/64)))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) 1) (-.f32 0 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))
(/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (neg.f32 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.f32 (-.f32 1/4 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 2)) (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 (-.f32 1/4 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 2)) (/.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (sqrt.f32 (-.f32 0 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (-.f32 0 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
(/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (neg.f32 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.f32 (-.f32 1/4 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 2)) (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 (-.f32 1/4 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 2)) (/.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (.f32 (cbrt.f32 (-.f32 0 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))) (cbrt.f32 (-.f32 0 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))) (cbrt.f32 (-.f32 0 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(/.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (neg.f32 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.f32 (-.f32 1/4 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 2)) (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 (-.f32 1/4 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 2)) (/.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) 1) (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (+.f32 1/4 (fma.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (+.f32 1/8 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 3)) (+.f32 1/4 (-.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (sqrt.f32 (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) (sqrt.f32 (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))
(/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (+.f32 1/4 (fma.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (+.f32 1/8 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 3)) (+.f32 1/4 (-.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (.f32 (cbrt.f32 (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (cbrt.f32 (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))) (cbrt.f32 (+.f32 1/4 (+.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))
(/.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (+.f32 1/4 (fma.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (+.f32 1/8 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2) 3)) (+.f32 1/4 (-.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 1)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(pow.f32 (hypot.f32 1 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 -2))) 2)
(pow.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) 3)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(pow.f32 (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 3) 1/3)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(sqrt.f32 (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 2))
(sqrt.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) 2))
(fabs.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(log.f32 (exp.f32 (+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(cbrt.f32 (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 3))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(expm1.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))
(exp.f32 (log1p.f32 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(exp.f32 (.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) 1))
(exp.f32 (log1p.f32 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(log1p.f32 (expm1.f32 (+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2) 1/2)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)) (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)) 1/2)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)) 2) (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)) 1/2)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)

eval1.1s (7.1%)

Compiler: Compiled 33363 to 24012 computations (28% saved)

prune378.0ms (2.5%)

Pruning

52 alts after pruning (46 fresh and 6 done)

	Pruned	Kept	Total
New	907	18	925
Fresh	1	28	29
Picked	1	0	1
Done	2	6	8
Total	911	52	963

Accurracy

99.9%

Counts

963 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	63.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	64.7%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	63.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	74.4%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	64.8%	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	55.7%	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	69.7%	(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))
	57.4%	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	74.3%	(.f32 (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	73.9%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 3))) 1)
	98.3%	(.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)))
	77.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	93.7%	(.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)))
▶	89.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) 1)
▶	74.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	79.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) 1)
	98.6%	(.f32 (sqrt.f32 (neg.f32 (.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))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	53.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	55.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	77.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	66.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))))
	98.7%	(.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 u2)))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 1/4 (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (/.f32 (.f32 4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (+.f32 1/2 (.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1/2)))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) 1))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
	88.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (+.f32 1/2 (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) -2))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (+.f32 1/2 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2)) -2))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 1 (*.f32 (PI.f32) u2)) 1))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	79.8%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	4.2%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	73.6%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	64.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	64.8%	(.f32 (cbrt.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2)) 1)
	38.7%	(*.f32 (cbrt.f32 (pow.f32 (+.f32 1 (-.f32 (log1p.f32 u1) 1)) 3/2)) 1)
	37.4%	(*.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2)) 1)
	66.4%	(*.f32 (cbrt.f32 (pow.f32 u1 3/2)) 1)
	25.7%	(*.f32 (cbrt.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1)) 1)
	74.3%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
	64.9%	(sqrt.f32 (log1p.f32 u1))
	37.4%	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1664 to 1406 computations (15.5% saved)

localize109.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(+.f32 1/2 (+.f32 1/2 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)) -2)))
	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
	98.8%	(.f32 (.f32 2 (PI.f32)) u2)
✓	38.5%	(-.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2))

Compiler

Compiled 119 to 85 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(+.f32 1/2 (+.f32 1/2 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)) -2)))
0.0ms	u2	@	0	(-.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2))
0.0ms	u2	@	inf	(+.f32 1/2 (+.f32 1/2 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)) -2)))
0.0ms	u2	@	-inf	(+.f32 1/2 (+.f32 1/2 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)) -2)))
0.0ms	u2	@	inf	(-.f32 1/2 (/.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`associate-*l/`
486×	`associate-/r*`
400×	`associate-/l*`
386×	`add-sqr-sqrt`
372×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	376	74
2	4841	68

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

((+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)) (+.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) 1/2) (+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) 1) (*.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)) 1) (*.f32 1 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (*.f32 (sqrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (sqrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (*.f32 (cbrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (pow.f32 (cbrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2)) (*.f32 (pow.f32 (cbrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2) (cbrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (*.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) (/.f32 1 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (*.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)) (/.f32 1 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (/.f32 1 (/.f32 1 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (/.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)) (/.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)) (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (/.f32 (sqrt.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2) (sqrt.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))))) (/.f32 (sqrt.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) (/.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) (sqrt.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))))) (/.f32 (*.f32 (cbrt.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (cbrt.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2) (cbrt.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))))) (/.f32 (*.f32 (cbrt.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) (cbrt.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)))) (/.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) (cbrt.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))))) (/.f32 (-.f32 1/4 (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)) (/.f32 (+.f32 1/8 (pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) 3)) (+.f32 1/4 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (/.f32 (neg.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (neg.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (/.f32 (neg.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) (neg.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (/.f32 (*.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) 1) (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)) (/.f32 (*.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)) 1) (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (/.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 1) (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)) (/.f32 (*.f32 (+.f32 1/8 (pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) 3)) 1) (+.f32 1/4 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)) (*.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (/.f32 (*.f32 (neg.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) 1) (neg.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (/.f32 (*.f32 (neg.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) 1) (neg.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (/.f32 (*.f32 (sqrt.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (sqrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (sqrt.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (/.f32 (*.f32 (sqrt.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) (sqrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (sqrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (/.f32 (*.f32 (cbrt.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (pow.f32 (cbrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2)) (cbrt.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (/.f32 (*.f32 (cbrt.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) (pow.f32 (cbrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2)) (cbrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (/.f32 (*.f32 (-.f32 1/16 (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8) (/.f32 2 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (/.f32 1 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4) 1/4)) (/.f32 (*.f32 (-.f32 1/64 (pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4) 3)) (/.f32 1 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (+.f32 1/16 (+.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8) (/.f32 2 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))))) (/.f32 (*.f32 (-.f32 1/64 (*.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) (/.f32 1 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (+.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) (/.f32 (*.f32 (-.f32 1/512 (pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8) 3)) (/.f32 1 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (+.f32 (+.f32 1/64 (*.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8))) (*.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)))) (/.f32 (/.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) 1) (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)) (/.f32 (/.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) (sqrt.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (sqrt.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (/.f32 (/.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) (*.f32 (cbrt.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)) (cbrt.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)))) (cbrt.f32 (*.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))) (/.f32 (/.f32 (-.f32 1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)) (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1/2) (/.f32 (/.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)) 1) (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (/.f32 (/.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)) (sqrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (sqrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (/.f32 (/.f32 (-.f32 1/8 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)) (*.f32 (cbrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))) (cbrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))))) (cbrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))) (pow.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)) 1) (pow.f32 (sqrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2) (pow.f32 (cbrt.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3) (pow.f32 (pow.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)) 3) 1/3) (sqrt.f32 (pow.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)) 2)) (log.f32 (exp.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (log.f32 (+.f32 1 (expm1.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (cbrt.f32 (pow.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)) 3)) (expm1.f32 (log.f32 (+.f32 3/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (exp.f32 (log.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (exp.f32 (*.f32 (log.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 1)) (log1p.f32 (expm1.f32 (+.f32 1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))

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(-.f32 1/64 (*.f32 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3) (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3))) (/.f32 1 (+.f32 1/4 (*.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))))) (-.f32 1/8 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3))) (/.f32 (*.f32 (+.f32 1/512 (pow.f32 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3) 3)) (/.f32 1 (+.f32 1/4 (*.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))))) (+.f32 1/64 (-.f32 (*.f32 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3) (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3)) (*.f32 1/8 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3))))) (/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2)) 1) (-.f32 1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2)) (sqrt.f32 (-.f32 1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (sqrt.f32 (-.f32 1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2)) (*.f32 (cbrt.f32 (-.f32 1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (cbrt.f32 (-.f32 1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))) (cbrt.f32 (-.f32 1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3)) 1) (+.f32 1/4 (*.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))) (/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3)) (sqrt.f32 (+.f32 1/4 (*.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))))) (sqrt.f32 (+.f32 1/4 (*.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))))) (/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3)) (*.f32 (cbrt.f32 (+.f32 1/4 (*.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))) (cbrt.f32 (+.f32 1/4 (*.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))))) (cbrt.f32 (+.f32 1/4 (*.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))))) (pow.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 1) (pow.f32 (sqrt.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 2) (pow.f32 (cbrt.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 3) (pow.f32 (pow.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3) 1/3) (sqrt.f32 (pow.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2)) (log.f32 (exp.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (log.f32 (+.f32 1 (expm1.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))) (cbrt.f32 (pow.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3)) (expm1.f32 (log1p.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (exp.f32 (log1p.f32 (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (exp.f32 (*.f32 (log1p.f32 (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1)) (log1p.f32 (expm1.f32 (+.f32 0 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (fma.f32 1 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 1/2) (fma.f32 (sqrt.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (sqrt.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1/2) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 2) (cbrt.f32 (+.f32 -1/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1/2))

simplify128.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1124×	`associate-*r/`
878×	`associate-/l/`
862×	`associate-/r/`
670×	`associate-*l/`
554×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	11655
1	1068	10467
2	4463	10133

Stop Event

1×	node limit

Counts

141 → 263

Calls

Call 1

Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.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 2/45 (.f32 (pow.f32 u2 6) (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 -1/315 (.f32 (pow.f32 u2 8) (pow.f32 (PI.f32) 8))) (+.f32 (.f32 2/45 (.f32 (pow.f32 u2 6) (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 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 1/2 (.f32 1/2 (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))))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1/2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))
(+.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2) 1/2)
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))) 1)
(.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)) 1)
(.f32 1 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))
(.f32 (sqrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (sqrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))))
(.f32 (cbrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (pow.f32 (cbrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2))
(.f32 (pow.f32 (cbrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2) (cbrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))))
(.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4)) (/.f32 1 (.f32 (+.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)))
(.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8)) (/.f32 1 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))))
(/.f32 1 (/.f32 1 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))))
(/.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4)) (.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1/2))
(/.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8)) (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4)))
(/.f32 (sqrt.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))) (/.f32 (.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1/2) (sqrt.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))))
(/.f32 (sqrt.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8))) (/.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4)) (sqrt.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))) (cbrt.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4)))) (/.f32 (.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1/2) (cbrt.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8))) (cbrt.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8)))) (/.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4)) (cbrt.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/8)))))
(/.f32 (-.f32 1/4 (.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1/2))
(/.f32 (+.f32 1/8 (pow.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2) 3)) (+.f32 1/4 (-.f32 (.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)) (.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(/.f32 (neg.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))) (neg.f32 (.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1/2)))
(/.f32 (neg.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8))) (neg.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))))
(/.f32 (.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4)) 1) (.f32 (+.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))
(/.f32 (.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8)) 1) (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4)))
(/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 1) (.f32 (+.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2))
(/.f32 (.f32 (+.f32 1/8 (pow.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2) 3)) 1) (+.f32 1/4 (-.f32 (.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)) (.f32 1/2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))
(/.f32 (.f32 (neg.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))) 1) (neg.f32 (.f32 (+.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1/2)))
(/.f32 (.f32 (neg.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8))) 1) (neg.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) 1/4))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))) (sqrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (sqrt.f32 (.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1/2)))
(/.f32 (.f32 (sqrt.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8))) (sqrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (sqrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))) (pow.f32 (cbrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) (cbrt.f32 (.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1/2)))
(/.f32 (.f32 (cbrt.f32 (-.f32 1/8 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8))) (pow.f32 (cbrt.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) (cbrt.f32 (+.f32 (+.f32 1/4 (/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)) (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4))))
(/.f32 (.f32 (-.f32 1/16 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/8) (/.f32 2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (/.f32 1 (.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1/2))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/4) 1/4))
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(/.f32 (.f32 (-.f32 1/64 (pow.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2) 3)) (/.f32 1 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))) (+.f32 1/16 (+.f32 (.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2) (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) (.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2)))))
(/.f32 (.f32 (-.f32 1/64 (.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3) (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3))) (/.f32 1 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))))) (-.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 3)))
(/.f32 (.f32 (+.f32 1/512 (pow.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3) 3)) (/.f32 1 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))))) (+.f32 1/64 (-.f32 (.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3) (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)) (.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)))))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) 1) (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) (sqrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))) (sqrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) (.f32 (cbrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (cbrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))) (cbrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)) 1) (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))))))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)) (sqrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))))) (sqrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)) (.f32 (cbrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))) (cbrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))))) (cbrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))))
(pow.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 1)
(pow.f32 (sqrt.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 2)
(pow.f32 (cbrt.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 3)
(pow.f32 (pow.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2))
(log.f32 (exp.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))))
(cbrt.f32 (pow.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3))
(expm1.f32 (log1p.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(exp.f32 (log1p.f32 (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(exp.f32 (.f32 (log1p.f32 (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1))
(log1p.f32 (expm1.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(fma.f32 1 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 1/2)
(fma.f32 (sqrt.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (sqrt.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 1/2)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 2) (cbrt.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 1/2)

Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) (*.f32 -1/3 (pow.f32 u2 4))))
(+.f32 (.f32 2/45 (.f32 (pow.f32 u2 6) (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))))
(fma.f32 2/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 2/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(fma.f32 2/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) (.f32 -1/3 (pow.f32 u2 4)))))
(+.f32 (.f32 -1/315 (.f32 (pow.f32 u2 8) (pow.f32 (PI.f32) 8))) (+.f32 (.f32 2/45 (.f32 (pow.f32 u2 6) (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)))))
(fma.f32 -1/315 (.f32 (pow.f32 u2 8) (pow.f32 (PI.f32) 8)) (fma.f32 2/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 -1/315 (.f32 (pow.f32 u2 8) (pow.f32 (PI.f32) 8)) (fma.f32 2/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(fma.f32 -1/315 (.f32 (pow.f32 u2 8) (pow.f32 (PI.f32) 8)) (fma.f32 2/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) (*.f32 -1/3 (pow.f32 u2 4))))))
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2))
(fma.f32 (.f32 (.f32 u2 u2) (pow.f32 (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 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2)))
(+.f32 1 (fma.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3))))
(+.f32 (fma.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -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 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) -4/45))))
(+.f32 1 (fma.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) 2/3 (fma.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2 (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) -4/45)))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 1/2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(+.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2) 1/2)
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))) 1)
(+.f32 1 (-.f32 1/2 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
(-.f32 1/2 (expm1.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
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(/.f32 (.f32 (+.f32 1/512 (pow.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3) 3)) (/.f32 1 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))))) (+.f32 1/64 (-.f32 (.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3) (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)) (.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)))))
(/.f32 (.f32 (/.f32 1 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) (+.f32 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2)) -1)))) (+.f32 1/512 (pow.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) 3) 3))) (+.f32 1/64 (+.f32 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) 6) (.f32 -1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2))) 3)))))
(/.f32 (/.f32 (+.f32 1/512 (pow.f32 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 3) 3)) (fma.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (-.f32 -1 (.f32 -1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 1/4)) (fma.f32 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 3) (+.f32 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 3) -1/8) 1/64))
(/.f32 (+.f32 1/512 (pow.f32 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 3) 3)) (.f32 (fma.f32 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 3) (+.f32 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 3) -1/8) 1/64) (fma.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (+.f32 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) -1) 1/4)))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) 1) (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) 2)) (+.f32 1 (.f32 2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2)) (+.f32 1 (.f32 -1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 2)) (+.f32 1 (.f32 -1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) (sqrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))) (sqrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) 2)) (+.f32 1 (.f32 2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2)) (+.f32 1 (.f32 -1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 2)) (+.f32 1 (.f32 -1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))
(/.f32 (/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2)) (.f32 (cbrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (cbrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))) (cbrt.f32 (-.f32 1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) 2)) (+.f32 1 (.f32 2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2)) (+.f32 1 (.f32 -1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(/.f32 (-.f32 1/4 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 2)) (+.f32 1 (.f32 -1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)) 1) (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))))))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) 3)) (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) (+.f32 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2)) -1))))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 3)) (fma.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (-.f32 -1 (.f32 -1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 1/4))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 3)) (fma.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (+.f32 (.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))) -1) 1/4))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)) (sqrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))))) (sqrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) 3)) (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) (+.f32 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2)) -1))))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 3)) (fma.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (-.f32 -1 (.f32 -1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 1/4))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 3)) (fma.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (+.f32 (.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))) -1) 1/4))
(/.f32 (/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3)) (.f32 (cbrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))) (cbrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))))) (cbrt.f32 (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) 3)) (+.f32 1/4 (.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2))) (+.f32 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2)) -1))))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 3)) (fma.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (-.f32 -1 (.f32 -1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 1/4))
(/.f32 (+.f32 1/8 (pow.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 3)) (fma.f32 (+.f32 -1/2 (.f32 1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (+.f32 (.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))) -1) 1/4))
(pow.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 1)
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(pow.f32 (sqrt.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 2)
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(pow.f32 (cbrt.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 3)
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(pow.f32 (pow.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3) 1/3)
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(sqrt.f32 (pow.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2))
(sqrt.f32 (pow.f32 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2)) 2))
(fabs.f32 (.f32 1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fabs.f32 (.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (exp.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(cbrt.f32 (pow.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 3))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(expm1.f32 (log1p.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(exp.f32 (log1p.f32 (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(exp.f32 (log1p.f32 (+.f32 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2)) -1)))
(exp.f32 (log1p.f32 (-.f32 -1 (.f32 -1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
(exp.f32 (log1p.f32 (+.f32 (.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))) -1)))
(exp.f32 (.f32 (log1p.f32 (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1))
(exp.f32 (log1p.f32 (+.f32 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2)) -1)))
(exp.f32 (log1p.f32 (-.f32 -1 (.f32 -1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
(exp.f32 (log1p.f32 (+.f32 (.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))) -1)))
(log1p.f32 (expm1.f32 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))))
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(fma.f32 1 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 1/2)
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(fma.f32 (sqrt.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (sqrt.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 1/2)
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 2) (cbrt.f32 (+.f32 -1/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) 1/2)
(+.f32 1 (.f32 -2 (fma.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1/2 1/2)))
(fma.f32 -2 (fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2) 1)
(.f32 1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))

localize60.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
✓	99.7%	(sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))

Compiler

Compiled 49 to 27 computations (44.9% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
0.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
0.0ms	u1	@	inf	(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
0.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
0.0ms	u1	@	0	(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2014×	`add-sqr-sqrt`
1988×	`*-un-lft-identity`
1862×	`add-cube-cbrt`
210×	`pow1`
208×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	216	42
2	2878	42

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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

((+.f32 (*.f32 -1/2 (*.f32 u1 u1)) (neg.f32 u1)) (+.f32 (*.f32 -1/2 (*.f32 u1 u1)) (*.f32 (neg.f32 u1) 1)) (+.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) (fma.f32 (neg.f32 u1) 1 u1)) (+.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) (fma.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1) u1)) (+.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1)) (+.f32 (neg.f32 u1) (*.f32 -1/2 (*.f32 u1 u1))) (+.f32 0 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (+.f32 (-.f32 0 (*.f32 -1/2 (*.f32 u1 u1))) u1) (+.f32 (*.f32 -1 (*.f32 -1/2 (*.f32 u1 u1))) (*.f32 -1 (neg.f32 u1))) (+.f32 (*.f32 (*.f32 -1/2 (*.f32 u1 u1)) -1) (*.f32 (neg.f32 u1) -1)) (+.f32 (neg.f32 (*.f32 -1/2 (*.f32 u1 u1))) (neg.f32 (neg.f32 u1))) (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)) (*.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 1) (*.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) -1) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (neg.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)))) (*.f32 1 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (*.f32 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 1/4) (*.f32 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 1/4) (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)))) (*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) 2) (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) 2) (neg.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)))) (*.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (pow.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) 2)) (*.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)))) (*.f32 (-.f32 (*.f32 (pow.f32 u1 4) 1/4) (*.f32 u1 u1)) (/.f32 1 (fma.f32 -1/2 (*.f32 u1 u1) u1))) (*.f32 -1 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (*.f32 (-.f32 (*.f32 (pow.f32 (*.f32 u1 u1) 3) -1/8) (pow.f32 u1 3)) (/.f32 1 (+.f32 (*.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 1/4)) (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 1/4)) (*.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (cbrt.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)))) (*.f32 (*.f32 -1 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) 2)) (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) 2)) (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (*.f32 (+.f32 (*.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 u1)) (-.f32 (*.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 u1))) (/.f32 1 (/.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1) (-.f32 (*.f32 (pow.f32 u1 4) 1/4) (*.f32 u1 u1)))) (/.f32 1 (/.f32 (+.f32 (*.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3)))) (-.f32 (*.f32 (pow.f32 (*.f32 u1 u1) 3) -1/8) (pow.f32 u1 3)))) (/.f32 (-.f32 (*.f32 (pow.f32 u1 4) 1/4) (*.f32 u1 u1)) (fma.f32 -1/2 (*.f32 u1 u1) u1)) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 u1 u1) 3) -1/8) (pow.f32 u1 3)) (+.f32 (*.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3))))) (/.f32 (*.f32 -1 (-.f32 (*.f32 (pow.f32 u1 4) 1/4) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 u1 u1) u1)) (/.f32 (*.f32 -1 (-.f32 (*.f32 (pow.f32 (*.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (+.f32 (*.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3))))) (/.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 u1 4) 1/4) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 u1 u1) u1)) (/.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 u1 4) 1/4) (*.f32 u1 u1))) (neg.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1))) (/.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 (*.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (+.f32 (*.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3))))) (/.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 (*.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (neg.f32 (+.f32 (*.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3)))))) (/.f32 (-.f32 (*.f32 (pow.f32 u1 4) 1/4) (*.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) (neg.f32 u1))) (/.f32 (-.f32 0 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 2)) (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (/.f32 (+.f32 (*.f32 (pow.f32 (*.f32 u1 u1) 3) -1/8) (pow.f32 (neg.f32 u1) 3)) (+.f32 (*.f32 (pow.f32 u1 4) 1/4) (-.f32 (*.f32 (neg.f32 u1) (neg.f32 u1)) (*.f32 (*.f32 -1/2 (*.f32 u1 u1)) (neg.f32 u1))))) (/.f32 (-.f32 0 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 3)) (+.f32 0 (+.f32 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 2) (*.f32 0 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))))) (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 1) (pow.f32 (sqrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) 2) (pow.f32 (cbrt.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) 3) (pow.f32 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 2) 1/2) (pow.f32 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 3) 1/3) (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) (sqrt.f32 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 2)) (log.f32 (exp.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (log.f32 (+.f32 1 (expm1.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)))) (cbrt.f32 (pow.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1) 3)) (expm1.f32 (log1p.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (exp.f32 (log.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)) 1)) (log1p.f32 (expm1.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) (fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1)) (fma.f32 (*.f32 u1 u1) -1/2 (neg.f32 u1)) (fma.f32 1 (*.f32 -1/2 (*.f32 u1 u1)) (neg.f32 u1)) (fma.f32 (*.f32 u1 (sqrt.f32 -1/2)) (*.f32 u1 (sqrt.f32 -1/2)) (neg.f32 u1)) (fma.f32 (cbrt.f32 (*.f32 (pow.f32 u1 4) 1/4)) (cbrt.f32 (*.f32 -1/2 (*.f32 u1 u1))) (neg.f32 u1)) (fma.f32 (*.f32 -1/2 u1) u1 (neg.f32 u1)))

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1560×	`associate-/r*`
842×	`distribute-lft-in`
832×	`*-commutative`
742×	`distribute-rgt-in`
446×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	3603
1	599	3043
2	2438	2995

Stop Event

1×	node limit

Counts

113 → 163

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 1/2) u1)
(+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 (sqrt.f32 1/2) u1)) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(.f32 -1 (.f32 (sqrt.f32 1/2) u1))
(-.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) u1)) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2))))))
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/2 (pow.f32 u1 2))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/2 (pow.f32 u1 2))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))) 1)
(.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 1)
(.f32 1 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/4) (pow.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1) 1/4))
(.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))
(.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))
(.f32 (sqrt.f32 -1) (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 1/2))
(.f32 (pow.f32 -1 1/2) (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (sqrt.f32 (+.f32 (.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/2)
(pow.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 1)
(pow.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) 3)
(pow.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))))
(cbrt.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(exp.f32 (log.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(+.f32 (.f32 -1/2 (.f32 u1 u1)) (neg.f32 u1))
(+.f32 (.f32 -1/2 (.f32 u1 u1)) (*.f32 (neg.f32 u1) 1))
(+.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) (fma.f32 (neg.f32 u1) 1 u1))
(+.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) (fma.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1) u1))
(+.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(+.f32 (neg.f32 u1) (.f32 -1/2 (.f32 u1 u1)))
(+.f32 0 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(+.f32 (-.f32 0 (.f32 -1/2 (.f32 u1 u1))) u1)
(+.f32 (.f32 -1 (.f32 -1/2 (.f32 u1 u1))) (.f32 -1 (neg.f32 u1)))
(+.f32 (.f32 (.f32 -1/2 (.f32 u1 u1)) -1) (.f32 (neg.f32 u1) -1))
(+.f32 (neg.f32 (.f32 -1/2 (.f32 u1 u1))) (neg.f32 (neg.f32 u1)))
(.f32 u1 (-.f32 (.f32 -1/2 u1) 1))
(.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1) 1)
(.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1) -1)
(.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (neg.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))
(.f32 1 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))
(.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/4) (.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/4) (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2) (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2) (neg.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))
(.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 2))
(.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1)) (/.f32 1 (fma.f32 -1/2 (.f32 u1 u1) u1)))
(.f32 -1 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))
(.f32 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3)) (/.f32 1 (+.f32 (.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3))))))
(.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/4)) (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/4))
(.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(.f32 (.f32 -1 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2)) (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(.f32 (neg.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2)) (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (+.f32 (.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 u1)) (-.f32 (*.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 u1)))
(/.f32 1 (/.f32 (fma.f32 -1/2 (.f32 u1 u1) u1) (-.f32 (.f32 (pow.f32 u1 4) 1/4) (*.f32 u1 u1))))
(/.f32 1 (/.f32 (+.f32 (.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3)))) (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1)) (fma.f32 -1/2 (*.f32 u1 u1) u1))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3)))))
(/.f32 (.f32 -1 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1))) (fma.f32 -1/2 (.f32 u1 u1) u1))
(/.f32 (.f32 -1 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3)))))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1))) (fma.f32 -1/2 (*.f32 u1 u1) u1))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1))) (neg.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3)))))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (neg.f32 (+.f32 (.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3))))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (.f32 -1/2 (.f32 u1 u1)) (neg.f32 u1)))
(/.f32 (-.f32 0 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 2)) (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(/.f32 (+.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 (neg.f32 u1) 3)) (+.f32 (.f32 (pow.f32 u1 4) 1/4) (-.f32 (.f32 (neg.f32 u1) (neg.f32 u1)) (.f32 (.f32 -1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 3)) (+.f32 0 (+.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 2) (.f32 0 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))))
(pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1)
(pow.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2)
(pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 3)
(pow.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 2) 1/2)
(pow.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 3) 1/3)
(neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 2))
(log.f32 (exp.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(cbrt.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 3))
(expm1.f32 (log1p.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(exp.f32 (log.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 1))
(log1p.f32 (expm1.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))
(fma.f32 (*.f32 u1 u1) -1/2 (neg.f32 u1))
(fma.f32 1 (.f32 -1/2 (.f32 u1 u1)) (neg.f32 u1))
(fma.f32 (.f32 u1 (sqrt.f32 -1/2)) (.f32 u1 (sqrt.f32 -1/2)) (neg.f32 u1))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 u1 4) 1/4)) (cbrt.f32 (.f32 -1/2 (*.f32 u1 u1))) (neg.f32 u1))
(fma.f32 (*.f32 -1/2 u1) u1 (neg.f32 u1))

Outputs
(*.f32 (sqrt.f32 1/2) u1)
(+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/2 (sqrt.f32 1/2)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 (sqrt.f32 1/2) u1)) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(-.f32 (fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/2 (sqrt.f32 1/2))) (/.f32 1/8 (*.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))
(+.f32 (fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/2 (sqrt.f32 1/2))) (*.f32 (/.f32 (/.f32 2 (sqrt.f32 1/2)) u1) -1/8))
(+.f32 (/.f32 1/2 (sqrt.f32 1/2)) (fma.f32 (sqrt.f32 1/2) u1 (/.f32 -1/4 (*.f32 (sqrt.f32 1/2) u1))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(-.f32 (+.f32 (/.f32 1/2 (sqrt.f32 1/2)) (fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/16 (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))))) (/.f32 1/8 (*.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))
(+.f32 (fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/2 (sqrt.f32 1/2))) (+.f32 (/.f32 (/.f32 1/16 (.f32 u1 u1)) (pow.f32 (sqrt.f32 1/2) 5)) (.f32 (/.f32 (/.f32 2 (sqrt.f32 1/2)) u1) -1/8)))
(+.f32 (/.f32 1/2 (sqrt.f32 1/2)) (+.f32 (/.f32 (/.f32 1/16 (.f32 u1 u1)) (pow.f32 (sqrt.f32 1/2) 5)) (fma.f32 (sqrt.f32 1/2) u1 (/.f32 -1/4 (.f32 (sqrt.f32 1/2) u1)))))
(.f32 -1 (.f32 (sqrt.f32 1/2) u1))
(neg.f32 (*.f32 (sqrt.f32 1/2) u1))
(*.f32 (sqrt.f32 1/2) (neg.f32 u1))
(-.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) u1)) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (neg.f32 (*.f32 (sqrt.f32 1/2) u1)) (/.f32 1/2 (sqrt.f32 1/2)))
(neg.f32 (fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/2 (sqrt.f32 1/2))))
(-.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (*.f32 (sqrt.f32 1/2) u1))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(+.f32 (/.f32 1/8 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) (-.f32 (neg.f32 (.f32 (sqrt.f32 1/2) u1)) (/.f32 1/2 (sqrt.f32 1/2))))
(fma.f32 1/8 (/.f32 (/.f32 2 (sqrt.f32 1/2)) u1) (neg.f32 (fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/2 (sqrt.f32 1/2)))))
(-.f32 (/.f32 1/4 (*.f32 (sqrt.f32 1/2) u1)) (fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/2 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2))))))
(+.f32 (/.f32 1/8 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) (-.f32 (neg.f32 (.f32 (sqrt.f32 1/2) u1)) (+.f32 (/.f32 1/2 (sqrt.f32 1/2)) (/.f32 1/16 (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))))))
(-.f32 (fma.f32 1/8 (/.f32 (/.f32 2 (sqrt.f32 1/2)) u1) (neg.f32 (fma.f32 (sqrt.f32 1/2) u1 (/.f32 1/2 (sqrt.f32 1/2))))) (/.f32 (/.f32 1/16 (*.f32 u1 u1)) (pow.f32 (sqrt.f32 1/2) 5)))
(+.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (-.f32 (/.f32 1/4 (.f32 (sqrt.f32 1/2) u1)) (fma.f32 (sqrt.f32 1/2) u1 (/.f32 (/.f32 1/16 (.f32 u1 u1)) (pow.f32 (sqrt.f32 1/2) 5)))))
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(*.f32 -1/2 (pow.f32 u1 2))
(.f32 -1/2 (.f32 u1 u1))
(.f32 u1 (.f32 u1 -1/2))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(*.f32 -1/2 (pow.f32 u1 2))
(.f32 -1/2 (.f32 u1 u1))
(.f32 u1 (.f32 u1 -1/2))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))) 1)
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 1)
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(.f32 1 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/4) (pow.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1) 1/4))
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))
(.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))
(.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))
(.f32 (fabs.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(.f32 (sqrt.f32 -1) (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) (sqrt.f32 -1))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (sqrt.f32 -1))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 1/2))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))
(.f32 (fabs.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(.f32 (pow.f32 -1 1/2) (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))
(.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) (sqrt.f32 -1))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (sqrt.f32 -1))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (sqrt.f32 (+.f32 (.f32 (pow.f32 u1 4) 1/4) (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 (pow.f32 u1 4) 1/4 (fma.f32 u1 u1 (*.f32 -1/2 (pow.f32 u1 3))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 1/4 (pow.f32 u1 4) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/2)
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(pow.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 1)
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(pow.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1/4) 2)
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) 3)
(sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
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(fma.f32 1/2 (*.f32 u1 u1) u1)
(/.f32 (+.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 (neg.f32 u1) 3)) (+.f32 (.f32 (pow.f32 u1 4) 1/4) (-.f32 (.f32 (neg.f32 u1) (neg.f32 u1)) (.f32 (.f32 -1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(.f32 (-.f32 (.f32 (pow.f32 (.f32 u1 u1) 3) -1/8) (pow.f32 u1 3)) (/.f32 1 (fma.f32 (pow.f32 u1 4) 1/4 (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3))))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 u1 u1 (.f32 -1/2 (pow.f32 u1 3)))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1))))
(/.f32 (-.f32 0 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 3)) (+.f32 0 (+.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 2) (.f32 0 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)))))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 1)
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(pow.f32 (sqrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2)
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 3)
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(pow.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 2) 1/2)
(sqrt.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 2))
(fabs.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(pow.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 3) 1/3)
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(sqrt.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 2))
(fabs.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(log.f32 (exp.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(cbrt.f32 (pow.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1) 3))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(expm1.f32 (log1p.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(exp.f32 (log.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 1))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(log1p.f32 (expm1.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(fma.f32 (*.f32 u1 u1) -1/2 (neg.f32 u1))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(fma.f32 1 (.f32 -1/2 (.f32 u1 u1)) (neg.f32 u1))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(fma.f32 (.f32 u1 (sqrt.f32 -1/2)) (.f32 u1 (sqrt.f32 -1/2)) (neg.f32 u1))
(-.f32 (.f32 (.f32 u1 u1) (*.f32 (sqrt.f32 -1/2) (sqrt.f32 -1/2))) u1)
(fma.f32 (cbrt.f32 (.f32 (pow.f32 u1 4) 1/4)) (cbrt.f32 (.f32 -1/2 (*.f32 u1 u1))) (neg.f32 u1))
(fma.f32 (cbrt.f32 (.f32 1/4 (pow.f32 u1 4))) (cbrt.f32 (.f32 -1/2 (*.f32 u1 u1))) (neg.f32 u1))
(-.f32 (.f32 (cbrt.f32 (.f32 1/4 (pow.f32 u1 4))) (cbrt.f32 (.f32 u1 (.f32 u1 -1/2)))) u1)
(fma.f32 (cbrt.f32 (.f32 1/4 (pow.f32 u1 4))) (cbrt.f32 (.f32 u1 (*.f32 u1 -1/2))) (neg.f32 u1))
(fma.f32 (*.f32 -1/2 u1) u1 (neg.f32 u1))
(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
(*.f32 u1 (fma.f32 u1 -1/2 -1))

localize35.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f32 u1)
✓	99.9%	(log.f32 (log1p.f32 u1))
✓	96.6%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	-inf	(log.f32 (log1p.f32 u1))
0.0ms	u1	@	inf	(log.f32 (log1p.f32 u1))
0.0ms	u1	@	-inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
0.0ms	u1	@	inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
0.0ms	u1	@	0	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

rewrite52.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`add-sqr-sqrt`
1412×	`*-un-lft-identity`
1306×	`add-cube-cbrt`
1292×	`add-cbrt-cube`
1276×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	171	18
2	1889	18

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(log.f32 (log1p.f32 u1))

Outputs

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

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1270×	`fma-def`
1120×	`unswap-sqr`
822×	`associate-/r*`
682×	`+-commutative`
620×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	3208
1	544	2852
2	2118	2382
3	7688	2382

Stop Event

1×	node limit

Counts

64 → 126

Calls

Call 1

Inputs
(*.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 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 3))) (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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (+.f32 (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 1/3 (.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))))) (pow.f32 u1 3)))))))
(log.f32 u1)
(+.f32 (log.f32 u1) (*.f32 -1/2 u1))
(+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (.f32 -1/2 u1)))
(+.f32 (.f32 -1/8 (pow.f32 u1 3)) (+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (*.f32 -1/2 u1))))
(log.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (+.f32 (.f32 1/6 (/.f32 (-.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))))) (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(log.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (.f32 -1/2 (/.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)))) (pow.f32 u1 2)))))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (+.f32 (.f32 -1/2 (/.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)))) (pow.f32 u1 2))) (.f32 1/6 (/.f32 (+.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)))))) (pow.f32 u1 3))))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.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))
(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 (sqrt.f32 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (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))))
(cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (log.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 0 (log.f32 (log1p.f32 u1)))
(-.f32 (+.f32 1 (log.f32 (log1p.f32 u1))) 1)
(*.f32 (log.f32 (log1p.f32 u1)) 1)
(*.f32 1 (log.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) (sqrt.f32 (log.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2) (cbrt.f32 (log.f32 (log1p.f32 u1))))
(pow.f32 (log.f32 (log1p.f32 u1)) 1)
(pow.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) 2)
(pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))
(cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (log.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (log.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log.f32 (log1p.f32 u1))) 1))
(log1p.f32 (-.f32 (log1p.f32 u1) 1))

Outputs
(*.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 1 (.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 1 (*.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 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 1 (*.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))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (.f32 1/2 (.f32 (/.f32 1 (.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 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 -1/4 (.f32 -1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (.f32 (sqrt.f32 -1) (.f32 u1 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 (.f32 -1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.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 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (.f32 1/2 (+.f32 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 -1/4 (.f32 -1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1)) 1/3) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.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))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) u1)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 1/2 u1) (/.f32 (.f32 -1/2 (fma.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/4 1/2)) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (+.f32 (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 1/3 (.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))))) (pow.f32 u1 3)))))))
(fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (+.f32 (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (pow.f32 u1 3))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) u1)) (fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3)) (pow.f32 u1 3)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))))
(+.f32 (fma.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (.f32 u1 u1) (fma.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/4 1/2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (+.f32 (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/4 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3) (pow.f32 u1 3)) (/.f32 1 u1))))
(+.f32 (fma.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (.f32 u1 u1) (fma.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/4 1/2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (+.f32 (/.f32 1 u1) (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/4 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3) (pow.f32 u1 3)))))
(log.f32 u1)
(+.f32 (log.f32 u1) (*.f32 -1/2 u1))
(+.f32 (log.f32 u1) (*.f32 u1 -1/2))
(fma.f32 u1 -1/2 (log.f32 u1))
(+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (.f32 -1/2 u1)))
(fma.f32 5/24 (.f32 u1 u1) (+.f32 (log.f32 u1) (.f32 u1 -1/2)))
(fma.f32 (*.f32 u1 u1) 5/24 (fma.f32 u1 -1/2 (log.f32 u1)))
(fma.f32 u1 -1/2 (fma.f32 (*.f32 u1 u1) 5/24 (log.f32 u1)))
(+.f32 (.f32 -1/8 (pow.f32 u1 3)) (+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (*.f32 -1/2 u1))))
(fma.f32 -1/8 (pow.f32 u1 3) (fma.f32 5/24 (.f32 u1 u1) (+.f32 (log.f32 u1) (.f32 u1 -1/2))))
(fma.f32 (pow.f32 u1 3) -1/8 (fma.f32 (*.f32 u1 u1) 5/24 (fma.f32 u1 -1/2 (log.f32 u1))))
(fma.f32 (pow.f32 u1 3) -1/8 (fma.f32 u1 -1/2 (fma.f32 (*.f32 u1 u1) 5/24 (log.f32 u1))))
(log.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))))
(log.f32 (neg.f32 (neg.f32 (log.f32 u1))))
(log.f32 (log.f32 u1))
(-.f32 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (log.f32 (neg.f32 (neg.f32 (log.f32 u1)))) (/.f32 1 (*.f32 u1 (neg.f32 (log.f32 u1)))))
(-.f32 (log.f32 (log.f32 u1)) (/.f32 (/.f32 1 u1) (neg.f32 (log.f32 u1))))
(-.f32 (log.f32 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) u1))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (fma.f32 1/2 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (.f32 u1 u1)) (log.f32 (neg.f32 (neg.f32 (log.f32 u1))))) (/.f32 1 (.f32 u1 (neg.f32 (log.f32 u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) (log.f32 (log.f32 u1))) (/.f32 -1 (*.f32 u1 (neg.f32 (log.f32 u1)))))
(+.f32 (log.f32 (log.f32 u1)) (-.f32 (/.f32 (fma.f32 1/2 (/.f32 -1 (log.f32 u1)) (/.f32 -1/2 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) u1)))
(-.f32 (+.f32 (.f32 1/6 (/.f32 (-.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))))) (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (fma.f32 1/6 (/.f32 (-.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)))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (.f32 u1 u1)) (log.f32 (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 1 (.f32 u1 (neg.f32 (log.f32 u1)))))
(+.f32 (fma.f32 1/6 (/.f32 (-.f32 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 2 (neg.f32 (log.f32 u1)))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 u1 u1)) (log.f32 (log.f32 u1)))) (/.f32 -1 (.f32 u1 (neg.f32 (log.f32 u1)))))
(+.f32 (-.f32 (log.f32 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) u1)) (fma.f32 1/6 (/.f32 (+.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)))) (pow.f32 u1 3)) (/.f32 (fma.f32 1/2 (/.f32 -1 (log.f32 u1)) (/.f32 -1/2 (.f32 (log.f32 u1) (log.f32 u1)))) (*.f32 u1 u1))))
(+.f32 (log.f32 (log.f32 u1)) (-.f32 (fma.f32 1/6 (/.f32 (+.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)))) (pow.f32 u1 3)) (/.f32 (fma.f32 1/2 (/.f32 -1 (log.f32 u1)) (/.f32 -1/2 (.f32 (log.f32 u1) (log.f32 u1)))) (*.f32 u1 u1))) (/.f32 (/.f32 -1 (log.f32 u1)) u1)))
(log.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(log.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)))
(+.f32 (log.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (/.f32 1 (*.f32 u1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (.f32 -1/2 (/.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)))) (pow.f32 u1 2)))))
(+.f32 (log.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 u1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (*.f32 u1 u1)))))
(+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (fma.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (*.f32 u1 u1)) (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(+.f32 (+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (+.f32 (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (*.f32 u1 u1)))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (+.f32 (.f32 -1/2 (/.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)))) (pow.f32 u1 2))) (.f32 1/6 (/.f32 (+.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)))))) (pow.f32 u1 3))))))
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(+.f32 (+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (fma.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (*.f32 u1 u1)) (/.f32 1/6 (/.f32 (pow.f32 u1 3) (+.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))))))))))
(+.f32 (+.f32 (log.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 (/.f32 1 u1) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (+.f32 (/.f32 -1/2 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (*.f32 u1 u1)) (/.f32 (fma.f32 1/6 (+.f32 (/.f32 2 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)) (/.f32 3 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (/.f32 1/3 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.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)) (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 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/3)
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (+.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(+.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (log.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (log1p.f32 u1)))) (log.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 3 (log.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 0 (log.f32 (log1p.f32 u1)))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(-.f32 (+.f32 1 (log.f32 (log1p.f32 u1))) 1)
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(*.f32 (log.f32 (log1p.f32 u1)) 1)
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(*.f32 1 (log.f32 (log1p.f32 u1)))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) (sqrt.f32 (log.f32 (log1p.f32 u1))))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2) (cbrt.f32 (log.f32 (log1p.f32 u1))))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(pow.f32 (log.f32 (log1p.f32 u1)) 1)
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) 2)
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 3)
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3) 1/3)
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (log.f32 (log1p.f32 u1))))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (log.f32 (log1p.f32 u1))))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log.f32 (log1p.f32 u1))) 1))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(log1p.f32 (-.f32 (log1p.f32 u1) 1))
(log1p.f32 (+.f32 (log1p.f32 u1) -1))
(log1p.f32 (+.f32 -1 (log1p.f32 u1)))

localize71.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1)))
✓	99.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.6%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
	98.8%	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 70 to 46 computations (34.3% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`associate-*r/`
790×	`distribute-lft-in`
656×	`associate-*l/`
382×	`add-sqr-sqrt`
366×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	374	70
2	4694	70

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

((-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1) (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (*.f32 -1/8 (pow.f32 (*.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1))))) (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1))) (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1/8 (pow.f32 (*.f32 u1 u1) 3)) (pow.f32 u1 3))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1))))) (/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1))) (/.f32 (*.f32 (cbrt.f32 (-.f32 (*.f32 -1/8 (pow.f32 (*.f32 u1 u1) 3)) (pow.f32 u1 3))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1))))) (/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1))) (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1) (pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3) (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3) (sqrt.f32 (*.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)) (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 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))))) (log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)) (cbrt.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)) 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 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)) 3/2))) (expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (exp.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)) (log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))

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

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1462×	`associate-+l+`
1434×	`associate-+r+`
954×	`fma-def`
874×	`unswap-sqr`
790×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	5292
1	620	5004
2	1983	4816
3	5882	4816

Stop Event

1×	node limit

Counts

90 → 189

Calls

Call 1

Inputs
(.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (+.f32 (.f32 1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))) (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))
(+.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1)))))
(+.f32 (.f32 -1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))) (+.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))))
(sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (.f32 -2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 2/3 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (.f32 -4/45 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 2/3 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 1/2) u1)
(+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 (sqrt.f32 1/2) u1)) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(.f32 -1 (.f32 (sqrt.f32 1/2) u1))
(-.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) u1)) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)))
(pow.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) (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 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 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 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))) 1)
(.f32 (sqrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) 1)
(.f32 1 (sqrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))))
(.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 1/4) (pow.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)) 1/4))
(.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))) (cbrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))))
(.f32 (cbrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))))
(.f32 (sqrt.f32 -1) (sqrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) 2)) (sqrt.f32 (cbrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) 2) 1/2) (pow.f32 (cbrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) 1/2))
(.f32 (pow.f32 -1 1/2) (sqrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))))
(/.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)))
(/.f32 (.f32 1 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 1 (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))) (cbrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))) (cbrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))) (cbrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (pow.f32 -1 1/2) (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 (pow.f32 -1 1/2) (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) 1) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) 1) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))) (cbrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 1/2)
(pow.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) 1)
(pow.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))) 3)
(pow.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))
(log.f32 (exp.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))))
(cbrt.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))
(exp.f32 (log.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))
(exp.f32 (.f32 (log.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))

Outputs
(.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))
(.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(fma.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (/.f32 1/2 (/.f32 (sqrt.f32 1/2) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
(fma.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 (/.f32 1/2 (sqrt.f32 1/2)) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 1/2)) (fma.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 -1/8 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (*.f32 1/2 (sqrt.f32 1/2))) u1))))
(fma.f32 (/.f32 -1/4 (sqrt.f32 1/2)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1) (fma.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 (/.f32 1/2 (sqrt.f32 1/2)) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (+.f32 (.f32 1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))) (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) (fma.f32 1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 1/2)) (fma.f32 -1/8 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 1/2 (sqrt.f32 1/2))) u1) (fma.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 (/.f32 1/16 (pow.f32 (sqrt.f32 1/2) 5)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 u1))))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 1/2)) (fma.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (fma.f32 (/.f32 (/.f32 1/16 u1) u1) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 (sqrt.f32 1/2) 5)) (.f32 (/.f32 (/.f32 -1/4 (sqrt.f32 1/2)) u1) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))
(.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))
(neg.f32 (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(.f32 (sqrt.f32 1/2) (neg.f32 (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))
(.f32 (sqrt.f32 1/2) (.f32 u1 (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))
(+.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(fma.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) -1/2))
(-.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 1/2)) -1/2) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
(-.f32 (.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
(+.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1)))))
(fma.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) 1/8)))
(-.f32 (fma.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 1/2)) -1/2 (.f32 (/.f32 1/8 (.f32 1/2 (sqrt.f32 1/2))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1))) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))
(-.f32 (fma.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 1/2)) -1/2 (/.f32 (.f32 (/.f32 1/4 (sqrt.f32 1/2)) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) u1)) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
(+.f32 (.f32 -1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))) (+.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))))
(fma.f32 -1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))) (fma.f32 -1 (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) 1/8))))
(fma.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))) -1/16 (-.f32 (fma.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 1/2)) -1/2 (.f32 (/.f32 1/8 (.f32 1/2 (sqrt.f32 1/2))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1))) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))
(-.f32 (fma.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 u1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 5)))) -1/16 (fma.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 1/2)) -1/2 (/.f32 (.f32 (/.f32 1/4 (sqrt.f32 1/2)) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) u1))) (.f32 (sqrt.f32 1/2) (.f32 u1 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
(sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1))))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(sqrt.f32 (fma.f32 (*.f32 1/2 u1) u1 u1))
(+.f32 (.f32 -2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))
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(.f32 (/.f32 (sqrt.f32 -1) (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1))) (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))))
(.f32 (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (/.f32 (sqrt.f32 -1) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 1)))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1)))))
(/.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 u1 6)) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1) (*.f32 1/4 (pow.f32 u1 4)))))
(/.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 u1 6)) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (*.f32 1/4 (pow.f32 u1 4)))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)))
(/.f32 (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 1))))
(/.f32 (.f32 (pow.f32 -1 1/2) (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (sqrt.f32 -1) (/.f32 (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1)))) (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3)))))
(.f32 (/.f32 (sqrt.f32 -1) (sqrt.f32 (fma.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1) (.f32 1/4 (pow.f32 u1 4))))) (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 u1 6)) (pow.f32 u1 3))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 u1 6)) (pow.f32 u1 3))) (/.f32 (sqrt.f32 -1) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (.f32 1/4 (pow.f32 u1 4))))))
(/.f32 (.f32 (pow.f32 -1 1/2) (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (sqrt.f32 -1) (/.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)) (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1)))))
(.f32 (/.f32 (sqrt.f32 -1) (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1))) (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))))
(.f32 (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (/.f32 (sqrt.f32 -1) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 1)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) 1) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) (sqrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1)))))
(/.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 u1 6)) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1) (*.f32 1/4 (pow.f32 u1 4)))))
(/.f32 (sqrt.f32 (-.f32 (.f32 -1/8 (pow.f32 u1 6)) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (*.f32 1/4 (pow.f32 u1 4)))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) 1) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)))
(/.f32 (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 1))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3)) (pow.f32 u1 3))) (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))) (cbrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))
(/.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (fma.f32 -1/2 u1 -1)))) (/.f32 (cbrt.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1)))) (cbrt.f32 (-.f32 (.f32 -1/8 (pow.f32 (*.f32 u1 u1) 3)) (pow.f32 u1 3)))))
(.f32 (/.f32 (cbrt.f32 (-.f32 (.f32 -1/8 (pow.f32 u1 6)) (pow.f32 u1 3))) (cbrt.f32 (fma.f32 u1 (fma.f32 -1/2 (.f32 u1 u1) u1) (.f32 1/4 (pow.f32 u1 4))))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(.f32 (cbrt.f32 (-.f32 (.f32 -1/8 (pow.f32 u1 6)) (pow.f32 u1 3))) (/.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (cbrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (*.f32 1/4 (pow.f32 u1 4))))))
(/.f32 (.f32 (cbrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (.f32 u1 u1))) (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))) (cbrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (fma.f32 -1/2 u1 -1)))) (/.f32 (cbrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)) (cbrt.f32 (-.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 2) (*.f32 u1 u1)))))
(.f32 (/.f32 (cbrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (cbrt.f32 (fma.f32 -1/2 (.f32 u1 u1) u1))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (/.f32 (cbrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 u1 u1))) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 1)))))
(pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 1/2)
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(pow.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) 1)
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(pow.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 1/4) 2)
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(pow.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))) 3)
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(pow.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 3/2) 1/3)
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)) 3/2))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3/2))
(fabs.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(log.f32 (exp.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))))))
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(cbrt.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 3/2))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)) 3/2))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(exp.f32 (log.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(exp.f32 (.f32 (log.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) 1/2))
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) 1))
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(log1p.f32 (expm1.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)))))
(sqrt.f32 (*.f32 u1 (fma.f32 -1/2 u1 -1)))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))

localize92.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.1%	(-.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) 1)
	98.8%	(*.f32 u2 (PI.f32))
	98.3%	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 84 to 42 computations (50% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

u2

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

0.0ms

u2

-inf

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

0.0ms

u2

inf

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`associate-*r/`
906×	`associate-*l/`
762×	`distribute-rgt-in`
722×	`distribute-lft-in`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	316	31
2	3835	31

Stop Event

1×	node limit

Counts

1 → 92

Calls

Call 1

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

Outputs

((+.f32 2 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1)) (+.f32 2 (*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 1)) (+.f32 2 (*.f32 1 (*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 1))) (+.f32 2 (*.f32 (*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 1) 1)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (+.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) -1) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (+.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 2) (+.f32 -1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)) (+.f32 (*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 1) 2) (*.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) (*.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 1) (*.f32 (sqrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) (sqrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))) (*.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) (pow.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2)) (*.f32 (pow.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2) (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))) (*.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (/.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3))) (*.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)) (/.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2))))) (*.f32 (+.f32 1 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2))) (-.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)) 1)) (*.f32 (/.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1)) (*.f32 (/.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)))) (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3))) (*.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) (*.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (-.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2))) (-.f32 -1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) (*.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (+.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3))) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) (-.f32 -1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (*.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)) (-.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)) (*.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)))) (-.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3))) (*.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)) (+.f32 (pow.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) 3) (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3) 3))) (+.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)) (-.f32 (*.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)) (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3))))) (/.f32 1 (/.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))) (/.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) (-.f32 1 (*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) -1))) (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)))) (/.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 1) (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)) (/.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3) (/.f32 (+.f32 (*.f32 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(*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)) 1) (/.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2))))) (+.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3))) (/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3) 3) 1) (/.f32 1 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2))))) (+.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)) (+.f32 1 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3) 1)))) (/.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1) 1) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)) (/.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (sqrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3))) (sqrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3))) (/.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (*.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)) (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)))) (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3))) (/.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)) 1) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)))) (/.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)) (sqrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2))))) (sqrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2))))) (/.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)) (*.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)))) (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)))))) (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2))))) (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 1) (pow.f32 (sqrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2) (pow.f32 (cbrt.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 3) (pow.f32 (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 3) 1/3) (sqrt.f32 (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 2)) (log.f32 (exp.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))) (log.f32 (+.f32 1 (expm1.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)))) (cbrt.f32 (pow.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 3)) (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)) (log1p.f32 (expm1.f32 (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))) (fma.f32 1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) -1) (fma.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)) (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)) -1) (fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)) 2) (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)) -1))

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-/r*`
1016×	`associate-*r/`
734×	`associate-*l/`
686×	`associate-+r+`
626×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	8276
1	778	8238
2	3116	8132

Stop Event

1×	node limit

Counts

104 → 162

Calls

Call 1

Inputs
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 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)))
(+.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)))
(+.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)))
(+.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)))
(+.f32 2 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1))
(+.f32 2 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 -1) 1))
(+.f32 2 (.f32 1 (.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 1)))
(+.f32 2 (.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 1) 1))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)
(+.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) -1)
(+.f32 1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))
(+.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 2)
(+.f32 -1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2))
(+.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 -1) 1) 2)
(.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))
(.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 1)
(.f32 (sqrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) (sqrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)))
(.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) (pow.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2))
(.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) 2) (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)))
(.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3)))
(.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)))))
(.f32 (+.f32 1 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2))) (-.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)) 1))
(.f32 (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3)) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1))
(.f32 (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2)))) (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)))
(.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1)) (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))
(.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (-.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2))) (-.f32 -1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))
(.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (+.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3))) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (-.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (-.f32 (.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2)) (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3)))) (-.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (+.f32 (pow.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) 3) (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3) 3))) (+.f32 (.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2)) (-.f32 (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3)) (.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (-.f32 1 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) -1))) (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3))))
(/.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 1)
(/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3))
(/.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3) (/.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (-.f32 1 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) -1))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1)) (/.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1))))
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(log.f32 (exp.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1))))
(cbrt.f32 (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 3))
(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))
(log1p.f32 (expm1.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)))
(fma.f32 1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) -1)
(fma.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2)) (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2)) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2)) 2) (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2)) -1)

Outputs
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 (.f32 u2 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 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 u2 u2)))))
(+.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))))))
(fma.f32 -2 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45)) (+.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 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))) (fma.f32 (.f32 -2 (pow.f32 u2 6)) (.f32 (pow.f32 (PI.f32) 6) 2/45) 1))
(+.f32 (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 u2 u2)))) (fma.f32 -2 (.f32 (pow.f32 (PI.f32) 6) (.f32 2/45 (pow.f32 u2 6))) 1))
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 2 (fma.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 2 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 -1) 1))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 2 (.f32 1 (.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 1)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 2 (.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 1) 1))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) -1)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 -1) 2)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 -1 (fma.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(+.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 -1) 1) 2)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 1 (+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 1)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (sqrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) (sqrt.f32 (+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) (pow.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 2))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) 2) (cbrt.f32 (+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (/.f32 1 (+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (+.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 3) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 3)) (+.f32 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 2) (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 3)) (+.f32 1 (.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3))))
(.f32 (+.f32 1 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2))) (-.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2)) 1))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3)) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (/.f32 1 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (+.f32 3 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2)))) (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 3)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (+.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 3) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) 2)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 3)) (+.f32 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 2) (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 3)) (+.f32 1 (.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3))))
(.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1)) (+.f32 (.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)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (-.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2))) (-.f32 -1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2)) (-.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2))) (-.f32 -1 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 2)) (-.f32 1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 2))) (-.f32 -1 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(+.f32 1 (neg.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) -1) (+.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3))) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (-.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2))))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2)) (+.f32 1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3))) (+.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (-.f32 -1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 2)) (+.f32 1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 3))) (+.f32 -1 (+.f32 (.f32 2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 2))))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 2)) (+.f32 1 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 3))) (-.f32 (pow.f32 (fma.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 2) 2) (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 3)) (-.f32 (.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2)) (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 3)))) (-.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2) 2) (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 3)))
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(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 1 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 2) -1)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2)) (sqrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2)) -1)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2)) 2) (cbrt.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 2)) -1)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)
(fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)

eval1.1s (7.2%)

Compiler: Compiled 41413 to 28903 computations (30.2% saved)

prune536.0ms (3.5%)

Pruning

60 alts after pruning (55 fresh and 5 done)

	Pruned	Kept	Total
New	1256	22	1278
Fresh	8	33	41
Picked	1	0	1
Done	5	5	10
Total	1270	60	1330

Accurracy

100.0%

Counts

1330 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	63.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	64.7%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	63.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) 1)
	63.6%	(*.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) 1)
	74.4%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	64.8%	(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) 1)
	55.7%	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	57.4%	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	74.3%	(.f32 (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	4.3%	(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) 1)
	18.9%	(.f32 (.f32 (sqrt.f32 1/2) u1) 1)
	89.8%	(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	73.9%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 3))) 1)
	98.3%	(.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)))
	77.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	93.7%	(.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)))
	81.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	88.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	89.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	76.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) 1)
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	79.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) 1)
	73.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 2) (cbrt.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))))) 1)
	74.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) 1)
	53.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	55.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	77.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	66.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (+.f32 0 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2))))))
	98.7%	(.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 u2)))))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 1/4 (-.f32 3/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (-.f32 (/.f32 (pow.f32 (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2) (-.f32 3/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1/2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1))
	88.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) -2)) 1))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (+.f32 1/2 (.f32 (-.f32 1/2 (expm1.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))) -2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (+.f32 1/2 (.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 1/4 (.f32 1/4 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)))) (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (sqrt.f32 (-.f32 1/4 (.f32 1/4 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))))) -2))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 1 (*.f32 (PI.f32) u2)) 1))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	79.8%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	44.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (exp.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))) 1)
	4.2%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	64.2%	(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 u1 -1/2)) 1/2)) 1)
	38.7%	(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
	73.6%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	37.4%	(.f32 (exp.f32 (.f32 (log.f32 (log.f32 (+.f32 u1 1))) 1/2)) 1)
	65.6%	(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
	64.8%	(.f32 (cbrt.f32 (pow.f32 (fma.f32 (.f32 u1 u1) -1/2 u1) 3/2)) 1)
	37.4%	(*.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2)) 1)
	66.4%	(*.f32 (cbrt.f32 (pow.f32 u1 3/2)) 1)
	25.7%	(*.f32 (cbrt.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1)) 1)
	74.2%	(sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1))))
	74.3%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
	64.9%	(sqrt.f32 (log1p.f32 u1))
	37.4%	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1040 to 884 computations (15% saved)

regimes348.0ms (2.3%)

Counts

86 → 1

Calls

Call 1

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

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 1/4 (-.f32 3/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) (-.f32 (/.f32 (pow.f32 (+.f32 -1 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))) 2) (-.f32 3/2 (*.f32 -2 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1/2)))

Calls

10 calls:

41.0ms	(.f32 (.f32 2 (PI.f32)) u2)
38.0ms	(-.f32 1 u1)
38.0ms	u1
36.0ms	u2
34.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
99.1%	1	`(log.f32 (-.f32 1 u1))`
99.1%	1	`(-.f32 1 u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1366 to 859 computations (37.1% saved)

regimes478.0ms (3.2%)

Counts

81 → 1

Calls

Call 1

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

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

Calls

10 calls:

145.0ms	cosTheta_i
63.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
35.0ms	u1
35.0ms	u2
34.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
99.1%	1	`(log.f32 (-.f32 1 u1))`
99.1%	1	`(-.f32 1 u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1178 to 740 computations (37.2% saved)

regimes318.0ms (2.1%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

10 calls:

63.0ms	u2
61.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
43.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
21.0ms	u1

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
99.1%	1	`(log.f32 (-.f32 1 u1))`
99.1%	1	`(-.f32 1 u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 598 to 420 computations (29.8% saved)

regimes253.0ms (1.7%)

Counts

41 → 1

Calls

Call 1

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

63.0ms	u2
44.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
22.0ms	(-.f32 1 u1)
19.0ms	(.f32 (.f32 2 (PI.f32)) u2)
19.0ms	u1

Results

Accuracy	Segments	Branch
93.7%	1	`cosTheta_i`
93.7%	1	`u1`
93.7%	1	`u2`
93.7%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
93.7%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
93.7%	1	`(log.f32 (-.f32 1 u1))`
93.7%	1	`(-.f32 1 u1)`
93.7%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
93.7%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 475 to 349 computations (26.5% saved)

regimes374.0ms (2.5%)

Counts

36 → 2

Calls

Call 1

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

Calls

9 calls:

88.0ms	(.f32 (.f32 2 (PI.f32)) u2)
69.0ms	(log.f32 (-.f32 1 u1))
67.0ms	u2
31.0ms	u1
29.0ms	(-.f32 1 u1)

Results

Accuracy	Segments	Branch
89.8%	1	`cosTheta_i`
93.7%	2	`u1`
94.6%	2	`u2`
93.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
93.7%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
93.7%	2	`(log.f32 (-.f32 1 u1))`
93.7%	2	`(-.f32 1 u1)`
94.6%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
94.6%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 405 to 301 computations (25.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999932646751404	0.9999945163726807

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes311.0ms (2.1%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

9 calls:

73.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
61.0ms	u2
31.0ms	(.f32 (.f32 2 (PI.f32)) u2)
29.0ms	u1
27.0ms	(-.f32 1 u1)

Results

Accuracy	Segments	Branch
79.8%	1	`cosTheta_i`
86.2%	2	`u1`
89.5%	2	`u2`
86.2%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
86.2%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
86.2%	2	`(log.f32 (-.f32 1 u1))`
86.2%	2	`(-.f32 1 u1)`
89.5%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
89.5%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 374 to 281 computations (24.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999351501464844	0.9999384880065918

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes391.0ms (2.6%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

7 calls:

301.0ms	u1
20.0ms	cosTheta_i
15.0ms	u2
14.0ms	(-.f32 1 u1)
13.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
79.8%	1	`cosTheta_i`
79.8%	1	`u1`
79.8%	1	`u2`
79.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
79.8%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
79.8%	1	`(log.f32 (-.f32 1 u1))`
79.8%	1	`(-.f32 1 u1)`

Compiler

Compiled 307 to 234 computations (23.8% saved)

regimes34.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

16.0ms	u1
9.0ms	u2
7.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
77.8%	1	`cosTheta_i`
77.8%	1	`u1`
77.8%	1	`u2`

Compiler

Compiled 125 to 92 computations (26.4% saved)

regimes19.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	cosTheta_i
6.0ms	u2
5.0ms	u1

Results

Accuracy	Segments	Branch
76.5%	1	`cosTheta_i`
76.5%	1	`u1`
76.5%	1	`u2`

Compiler

Compiled 79 to 59 computations (25.3% saved)

regimes62.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	u1
5.0ms	u2
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
74.2%	1	`cosTheta_i`
74.2%	1	`u1`
74.2%	1	`u2`

Compiler

Compiled 64 to 48 computations (25% saved)

regimes17.0ms (0.1%)

Accuracy

Total -20.1b remaining (-187.5%)

Threshold costs -20.1b (-187.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	cosTheta_i
3.0ms	u2
3.0ms	u1

Results

Accuracy	Segments	Branch
66.5%	1	`cosTheta_i`
66.5%	1	`u1`
66.5%	1	`u2`

Compiler

Compiled 34 to 27 computations (20.6% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

358×	`distribute-lft-neg-in`
292×	`*-commutative`
168×	`+-commutative`
160×	`distribute-rgt-neg-in`
138×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	629
1	159	629
2	239	629
3	364	617
4	499	617
5	621	617
6	670	617
7	703	617
8	727	617
9	746	617
10	761	617
11	792	617
12	858	617
13	913	617
14	951	617
15	962	617
16	964	617

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 1/4 (-.f32 3/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (-.f32 (/.f32 (pow.f32 (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2) (-.f32 3/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
(.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 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16777115/16777216) (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388071/8388608) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (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 u1 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) 1)
(sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 1/4 (-.f32 3/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2)))) (-.f32 (/.f32 (pow.f32 (+.f32 -1 (.f32 -2 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1/2))) 2) (-.f32 3/2 (.f32 -2 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) -1/2)))) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 1/4 (+.f32 3/2 (.f32 2 (.f32 -1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 -2 (.f32 -1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) -1) 2) (+.f32 3/2 (.f32 2 (.f32 -1/2 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 1/4 (-.f32 3/2 (.f32 -2 (.f32 -1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (+.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -2 (.f32 -1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) -1) 2) (-.f32 3/2 (.f32 -2 (.f32 -1/2 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 1/4 (+.f32 3/2 (.f32 -2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (+.f32 -1/2 (/.f32 (pow.f32 (+.f32 (.f32 -2 (.f32 -1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) -1) 2) (+.f32 3/2 (.f32 -2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (/.f32 1/4 (+.f32 3/2 (.f32 -2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (-.f32 1/2 (/.f32 (pow.f32 (+.f32 (.f32 -2 (.f32 -1/2 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) -1) 2) (+.f32 3/2 (.f32 -2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (+.f32 (.f32 -1/2 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 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)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (.f32 u1 -1/3)))))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 1/3))))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16777115/16777216) (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 16777115/16777216) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 u1 (.f32 1/2 (*.f32 u1 u1))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388071/8388608) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388071/8388608) (.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (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 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))))) u1))
(sqrt.f32 (+.f32 u1 (.f32 (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))) (neg.f32 (.f32 u1 u1)))))
(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 u1 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)))
(sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 (neg.f32 u1) (+.f32 -1/2 (*.f32 u1 -1/3))))))
(sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 (+.f32 1/2 (*.f32 u1 1/3))))))
(sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1))))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 u1)

Compiler

Compiled 229 to 186 computations (18.8% saved)

soundness178.0ms (1.2%)

Algorithm

3×	egg-herbie

Rules

1646×	`associate-/r*`
1612×	`associate-/l*`
1356×	`associate-r`
1220×	`associate-l`
924×	`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	398	5128
1	1515	4486
2	2933	4430
0	361	8507
1	969	8265
2	3658	8265

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 601 to 370 computations (38.4% saved)

end94.0ms (0.6%)

Compiler: Compiled 199 to 124 computations (37.7% 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	87	629
1	159	629
2	239	629
3	364	617
4	499	617
5	621	617
6	670	617
7	703	617
8	727	617
9	746	617
10	761	617
11	792	617
12	858	617
13	913	617
14	951	617
15	962	617
16	964	617

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	87	629
1	159	629
2	239	629
3	364	617
4	499	617
5	621	617
6	670	617
7	703	617
8	727	617
9	746	617
10	761	617
11	792	617
12	858	617
13	913	617
14	951	617
15	962	617
16	964	617

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	87	629
1	159	629
2	239	629
3	364	617
4	499	617
5	621	617
6	670	617
7	703	617
8	727	617
9	746	617
10	761	617
11	792	617
12	858	617
13	913	617
14	951	617
15	962	617
16	964	617