Details

analyze223.0ms (1.8%)

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)

sample2.9s (23.5%)

Results

2.8s	8256×	body	256	valid
1.0ms	5×	body	256	precondition

Bogosity

preprocess40.0ms (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)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize81.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 19 computations (59.6% saved)

series36.0ms (0.3%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u1	@	0	(.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	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

rewrite84.0ms (0.7%)

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

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

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate-*r/`
1054×	`associate-r`
980×	`associate-l`
706×	`+-commutative`
612×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	9303
1	1188	8139
2	5835	8055

Stop Event

1×	node limit

Counts

189 → 259

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)))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
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 (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)))
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(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)))

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

eval121.0ms (1%)

Compiler: Compiled 7848 to 4183 computations (46.7% saved)

prune142.0ms (1.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	240	19	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	240	20	260

Error

0.1b

Counts

260 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	8.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	1.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
▶	0.2b	(.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))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	6.2b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	7.9b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
▶	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	7.9b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.7b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))

Compiler

Compiled 725 to 587 computations (19% saved)

localize92.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))
✓	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.5b	(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	(-.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)

rewrite145.0ms (1.2%)

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
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((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

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

simplify91.0ms (0.7%)

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)))
(.f32 2 (.f32 u2 (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 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 (.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)))))
(-.f32 (.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (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 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (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 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (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 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (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 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))))))
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(/.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))))

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))))
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(.f32 (/.f32 (sqrt.f32 (-.f32 1/8 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6))) 1/2) (sqrt.f32 1/2))
(.f32 (sqrt.f32 (-.f32 1/8 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6))) (/.f32 (sqrt.f32 1/2) 1/2))
(/.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 (sqrt.f32 (-.f32 1/4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (/.f32 (sqrt.f32 1/2) (sqrt.f32 1/2)))
(.f32 1 (sqrt.f32 (-.f32 1/4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))
(/.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 (cbrt.f32 (-.f32 1/8 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) (/.f32 (cbrt.f32 1/4) (pow.f32 (cbrt.f32 1/2) 2)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 1/2) 2) (cbrt.f32 1/4)) (cbrt.f32 (-.f32 1/8 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6))))
(.f32 (pow.f32 (cbrt.f32 1/2) 2) (/.f32 (cbrt.f32 (-.f32 1/8 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6))) (cbrt.f32 1/4)))
(/.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 (cbrt.f32 (-.f32 1/4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (/.f32 (cbrt.f32 1/2) (pow.f32 (cbrt.f32 1/2) 2)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 1/2) 2) (cbrt.f32 1/2)) (cbrt.f32 (-.f32 1/4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))
(.f32 (cbrt.f32 (-.f32 1/4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (/.f32 (pow.f32 (cbrt.f32 1/2) 2) (cbrt.f32 1/2)))
(/.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 1/16 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 8)) (+.f32 1/8 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/2)))
(.f32 (/.f32 (-.f32 1/16 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 8)) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/4)) 2)
(/.f32 (+.f32 1/8 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 8))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/4))
(/.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 1/64 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 3)) (+.f32 1/32 (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 8) (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/4)) 1/2)))
(.f32 (/.f32 (-.f32 1/64 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 3)) (+.f32 1/16 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 1/4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 8)))) 2)
(.f32 (/.f32 2 (+.f32 1/16 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) 1/4 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 8)))) (-.f32 1/64 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 12)))
(/.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 1/64 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 12)) (+.f32 1/32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 1/4)))
(/.f32 4 (/.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) 1/8) (-.f32 1/64 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 12))))
(/.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 1/512 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) 3)) (+.f32 1/256 (.f32 1/4 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 12) (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 1/8)))))
(/.f32 (-.f32 1/128 (/.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) 3) 1/4)) (+.f32 1/64 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) 1/8 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 12))))
(/.f32 (-.f32 1/512 (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) 3)) (+.f32 1/256 (.f32 1/4 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6) 1/8 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 12)))))
(/.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 1/2 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/2))
(+.f32 1/2 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))
(/.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 1/2 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/2))
(+.f32 1/2 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))
(/.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 1/2 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/2))
(+.f32 1/2 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))
(/.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 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))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.5%)

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)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.1b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.3b	(*.f32 (PI.f32) u2)
✓	1.1b	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

Compiler

Compiled 51 to 26 computations (49% saved)

series23.0ms (0.2%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	u2	@	inf	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
1.0ms	u2	@	0	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
1.0ms	u1	@	-inf	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
1.0ms	u1	@	-inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`unswap-sqr`
992×	`swap-sqr`
498×	`distribute-rgt-in`
460×	`distribute-lft-in`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	335	42
2	3870	42

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))

Outputs

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

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

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1636×	`distribute-lft-in`
1316×	`associate-/r*`
1148×	`associate-/l*`
692×	`associate-*r/`
646×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	5322
1	775	4888
2	3606	4832

Stop Event

1×	node limit

Counts

82 → 144

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

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

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 63 to 14 computations (77.8% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u2	@	0	(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`associate-*r/`
558×	`associate-*l/`
542×	`distribute-rgt-in`
496×	`distribute-lft-in`
338×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	346	52
2	4263	24

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

Outputs

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

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

simplify123.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/l/`
1278×	`fma-def`
842×	`associate-+r+`
780×	`*-commutative`
734×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	3354
1	697	2876
2	1945	2602
3	5900	2602

Stop Event

1×	node limit

Counts

84 → 130

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

localize89.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 66 to 18 computations (72.7% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`associate-*r/`
526×	`associate-*l/`
520×	`distribute-rgt-in`
466×	`distribute-lft-in`
354×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	372	52
2	4428	24

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1282×	`fma-def`
1270×	`associate-/l/`
880×	`associate-+r+`
852×	`associate-+l+`
792×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	3300
1	573	2822
2	1888	2524
3	5729	2524

Stop Event

1×	node limit

Counts

66 → 108

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 0))) 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 (sqrt.f32 (cos.f32 0)) (sqrt.f32 (cos.f32 0)))
(*.f32 (cos.f32 0) 1)
(*.f32 1 (cos.f32 0))
(.f32 (pow.f32 (cos.f32 0) 1/4) (.f32 (pow.f32 (cos.f32 0) 1/4) (sqrt.f32 (cos.f32 0))))
(*.f32 (cbrt.f32 (cos.f32 0)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2))
(.f32 (cbrt.f32 (cos.f32 0)) (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (cbrt.f32 (cos.f32 0)))
(.f32 (.f32 (sqrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 1/4)) (pow.f32 (cos.f32 0) 1/4))
(.f32 (.f32 (sqrt.f32 (cos.f32 0)) (cbrt.f32 (cos.f32 0))) (cbrt.f32 (sqrt.f32 (cos.f32 0))))
(sqrt.f32 (pow.f32 (cos.f32 0) 2))
(log.f32 (exp.f32 (cos.f32 0)))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 0))))
(cbrt.f32 (pow.f32 (cos.f32 0) 3))
(cos.f32 0)
(expm1.f32 (log1p.f32 (cos.f32 0)))
(exp.f32 (log.f32 (cos.f32 0)))
(log1p.f32 (expm1.f32 (cos.f32 0)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))) 1)
(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)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(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))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 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 (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 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 4) (-.f32 (.f32 5/3 (pow.f32 (PI.f32) 4)) (pow.f32 (neg.f32 (pow.f32 (PI.f32) 2)) 2)) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 4) (-.f32 (.f32 (pow.f32 (PI.f32) 4) 5/3) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 u2 4) (*.f32 2/3 (pow.f32 (PI.f32) 4)) 1))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(fma.f32 (pow.f32 u2 4) (-.f32 (.f32 5/3 (pow.f32 (PI.f32) 4)) (pow.f32 (neg.f32 (pow.f32 (PI.f32) 2)) 2)) (+.f32 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 (PI.f32) 6) (.f32 -4/45 (pow.f32 u2 6)))) (fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 (pow.f32 (PI.f32) 4) 5/3) (pow.f32 (PI.f32) 4)) 1))
(fma.f32 (pow.f32 u2 4) (.f32 2/3 (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) 1)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) -1/2) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.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 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(fma.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (sqrt.f32 -1) (.f32 (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 (sqrt.f32 -1) u1)) (.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.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 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (+.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))))))))))))))
(fma.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (sqrt.f32 -1) (.f32 (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 u1 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (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 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 u1 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) -1/2) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) -1/2) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 u1 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (pow.f32 (sqrt.f32 -1) 2)))
(.f32 -1 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) u1))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 -1 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
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(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))

eval1.2s (9.9%)

Compiler: Compiled 33627 to 21871 computations (35% saved)

prune439.0ms (3.6%)

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1071	19	1090
Fresh	7	7	14
Picked	0	1	1
Done	1	4	5
Total	1079	31	1110

Error

0.1b

Counts

1110 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	8.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.5b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.2b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	11.3b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	14.3b	(*.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) 1)
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	7.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	8.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
▶	10.7b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
✓	1.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	0.3b	(.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))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	6.6b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 0))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	6.2b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	7.9b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	30.5b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
▶	14.2b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
✓	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2))))))
	11.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
▶	7.9b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	23.9b	(*.f32 3 (sqrt.f32 (log1p.f32 u1)))
	8.7b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	11.1b	(sqrt.f32 (log1p.f32 u1))
	20.3b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	11.2b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 790 to 663 computations (16.1% saved)

localize118.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
✓	0.2b	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)

Compiler

Compiled 62 to 21 computations (66.1% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	inf	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	0	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	-inf	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`unswap-sqr`
886×	`swap-sqr`
486×	`distribute-rgt-in`
440×	`distribute-lft-in`
346×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	359	55
2	4144	55

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (*.f32 (PI.f32) u2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))

Outputs

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

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

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

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1664×	`associate-/r*`
730×	`+-commutative`
668×	`associate-/l*`
642×	`associate-r`
526×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	372	6142
1	1026	5442
2	4157	5442

Stop Event

1×	node limit

Counts

136 → 215

Calls

Call 1

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

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

localize22.0ms (0.2%)

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 u1)
✓	0.1b	(sqrt.f32 (log1p.f32 u1))
✓	0.3b	(*.f32 3 (sqrt.f32 (log1p.f32 u1)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(*.f32 3 (sqrt.f32 (log1p.f32 u1)))
1.0ms	u1	@	inf	(*.f32 3 (sqrt.f32 (log1p.f32 u1)))
1.0ms	u1	@	0	(*.f32 3 (sqrt.f32 (log1p.f32 u1)))
0.0ms	u1	@	inf	(sqrt.f32 (log1p.f32 u1))
0.0ms	u1	@	-inf	(sqrt.f32 (log1p.f32 u1))

rewrite118.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`add-sqr-sqrt`
1330×	`*-un-lft-identity`
1236×	`add-cube-cbrt`
1224×	`add-cbrt-cube`
1210×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	156	29
2	1726	29

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(*.f32 3 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 u1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 3 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 3 (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 3 (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 3 (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 3 (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 3) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 3 (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 3 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 3 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 3 (sqrt.f32 (log1p.f32 u1)))))))))

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

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

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1556×	`fma-def`
1268×	`associate-/r/`
822×	`*-commutative`
806×	`+-commutative`
602×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	4029
1	552	3393
2	2193	2841
3	6721	2841

Stop Event

1×	node limit

Counts

79 → 166

Calls

Call 1

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 u1)
✓	0.0b	(exp.f32 (sqrt.f32 (log1p.f32 u1)))
	0.1b	(sqrt.f32 (log1p.f32 u1))
✓	6.5b	(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series4.0ms (0%)

Counts

2 → 17

Calls

6 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`add-sqr-sqrt`
978×	`*-un-lft-identity`
920×	`pow1`
906×	`add-cube-cbrt`
896×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	127	22
2	1295	22

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (sqrt.f32 (log1p.f32 u1)))

Outputs

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1320×	`fma-def`
996×	`associate-+r+`
872×	`associate-+l+`
764×	`times-frac`
764×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	4035
1	589	3695
2	2107	3165
3	6753	3165

Stop Event

1×	node limit

Counts

59 → 106

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)))))))
1
(exp.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (exp.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (exp.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (/.f32 (.f32 (exp.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (.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)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 2))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (exp.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (exp.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (/.f32 (.f32 (exp.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.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)))))) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/48 (.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (.f32 -1/4 (/.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 (.f32 (exp.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (.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)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 2)))))
(exp.f32 (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 (exp.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) u1))) (exp.f32 (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 (exp.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) u1))) (+.f32 (exp.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (exp.f32 (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 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)))) (.f32 1/8 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (exp.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) u1))) (+.f32 (exp.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (/.f32 (.f32 (exp.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1/48 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.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))))))) (.f32 1/4 (/.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))) (/.f32 (.f32 (exp.f32 (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 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)))) (.f32 1/8 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 0 (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))
(-.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 (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 1/2) (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 (log1p.f32 u1) 3/2) 1/3)
(sqrt.f32 (log1p.f32 u1))
(fabs.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))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (+.f32 1 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 1 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2) (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (exp.f32 1) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (exp.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) 2))
(log.f32 (exp.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))

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

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

series6.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)
0.0ms	u1	@	0	(pow.f32 (log1p.f32 u1) 3/2)
0.0ms	u1	@	inf	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
0.0ms	u1	@	-inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`unswap-sqr`
912×	`swap-sqr`
570×	`sqr-pow`
412×	`distribute-rgt-in`
366×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	323	53
2	3775	53

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1772×	`associate-/r*`
970×	`associate-*r/`
896×	`associate-r`
836×	`associate-l`
738×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	8079
1	1222	6921
2	5315	6845

Stop Event

1×	node limit

Counts

123 → 209

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

Outputs
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(fma.f32 -3/4 (fabs.f32 (pow.f32 u1 5/2)) (sqrt.f32 (pow.f32 u1 3)))
(+.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 (sqrt.f32 (pow.f32 u1 3)) (fma.f32 -3/4 (fabs.f32 (pow.f32 u1 5/2)) (*.f32 19/32 (fabs.f32 (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 (fabs.f32 (pow.f32 u1 5/2)) (fma.f32 -63/128 (sqrt.f32 (pow.f32 u1 9)) (*.f32 19/32 (fabs.f32 (pow.f32 u1 7/2))))))
(*.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 (.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 (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.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 (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 3/4 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1)))) u1)) (sqrt.f32 -1))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 3/4 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1)))) 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))))))))
(fma.f32 (/.f32 (-.f32 (fma.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (neg.f32 (log.f32 u1))) (.f32 1/4 (-.f32 (/.f32 3 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))) (/.f32 9/16 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (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 (*.f32 -3/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (neg.f32 (log.f32 u1)))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1)))) (.f32 (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (+.f32 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (fma.f32 -9/8 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/4 (-.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))) (/.f32 -9/16 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))) (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 3/4 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1)))) u1)))))
(+.f32 (fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1)))) (.f32 (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 3/4 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1)))) u1)) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (fma.f32 -9/8 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/4 (+.f32 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -2 (log.f32 u1))) (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (/.f32 -9/16 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))
(sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 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)))
(fma.f32 3/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (sqrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3)))
(fma.f32 3/2 (/.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) u1) (sqrt.f32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3)))
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(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(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 (.f32 (pow.f32 1 1/6) (pow.f32 1 1/6)) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.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 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (sqrt.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))))))
(sqrt.f32 (log1p.f32 u1))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) 2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1/3))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))

eval527.0ms (4.3%)

Compiler: Compiled 26787 to 18938 computations (29.3% saved)

prune500.0ms (4.1%)

Pruning

39 alts after pruning (30 fresh and 9 done)

	Pruned	Kept	Total
New	841	12	853
Fresh	3	18	21
Picked	0	1	1
Done	1	8	9
Total	845	39	884

Error

0.1b

Counts

884 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	7.9b	(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	8.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.5b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	11.2b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
▶	11.3b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	14.3b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	7.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	8.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
✓	10.7b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
✓	1.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
▶	0.3b	(.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))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	6.6b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 0))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (fma.f32 u2 (PI.f32) (.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))))))
✓	6.2b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	7.9b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
▶	30.5b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	14.6b	(*.f32 (log.f32 (-.f32 (+.f32 1 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)) 1)
	14.2b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) -1/2 u1)))) 1)
	20.3b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1)))) 1)
✓	14.2b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	20.3b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 u1 1))))) 1)
	13.8b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 u1))) 1)
	29.9b	(*.f32 (log.f32 1) 1)
✓	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2))))))
	11.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
✓	7.9b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (cbrt.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	23.9b	(*.f32 3 (sqrt.f32 (log1p.f32 u1)))
▶	23.9b	(*.f32 3 (sqrt.f32 u1))
	8.7b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	11.1b	(sqrt.f32 (log1p.f32 u1))
	20.3b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	11.2b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 928 to 804 computations (13.4% saved)

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 84 to 42 computations (50% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(.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))))
2.0ms	u1	@	inf	(.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))))
1.0ms	u1	@	0	(.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))))
1.0ms	u2	@	inf	(.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))))
1.0ms	u2	@	-inf	(.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))))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`associate-*r/`
1208×	`associate-*l/`
450×	`add-sqr-sqrt`
432×	`*-un-lft-identity`
428×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	112
1	447	104
2	5602	104

Stop Event

1×	node limit

Counts

4 → 167

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)))
(.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))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u2 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 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simplify153.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-+l+`
938×	`associate-r`
838×	`+-commutative`
808×	`associate-l`
768×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	14763
1	1481	13617
2	6040	13593

Stop Event

1×	node limit

Counts

203 → 302

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 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
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(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.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 (sqrt.f32 (log1p.f32 u1)) (+.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 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2))))
(/.f32 (.f32 (.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2)) (sqrt.f32 (log1p.f32 u1))) 1) (-.f32 0 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))
(/.f32 (.f32 (.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 1/4 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 1/2 (sqrt.f32 (log1p.f32 u1))) (.f32 1/2 (sqrt.f32 (log1p.f32 u1)))) (.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1))) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1))))) 1) (-.f32 (.f32 1/2 (sqrt.f32 (log1p.f32 u1))) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 1/2 (sqrt.f32 (log1p.f32 u1))) 3) (pow.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1))) 3)) 1) (+.f32 (.f32 (.f32 1/2 (sqrt.f32 (log1p.f32 u1))) (.f32 1/2 (sqrt.f32 (log1p.f32 u1)))) (-.f32 (.f32 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1))) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (log1p.f32 u1))) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1)))))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1/4 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2))) (.f32 (hypot.f32 1 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 -2))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (-.f32 0 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))))
(/.f32 (.f32 (sqrt.f32 (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3))) (.f32 (hypot.f32 1 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 -2))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (+.f32 1/4 (.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1/2)))))
(pow.f32 (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (.f32 (hypot.f32 1 (.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 -2))) (pow.f32 (log1p.f32 u1) 1/4)) 2)
(pow.f32 (cbrt.f32 (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 2)))
(log.f32 (pow.f32 (exp.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2) 1)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) 3)))
(expm1.f32 (log1p.f32 (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (+.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)) (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (+.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (log.f32 (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1) (sqrt.f32 (log1p.f32 u1)))))
(fma.f32 1/2 (sqrt.f32 (log1p.f32 u1)) (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1))))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) 1/2 (.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) (sqrt.f32 (log1p.f32 u1))))

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 3 (sqrt.f32 u1))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(*.f32 3 (sqrt.f32 u1))
0.0ms	u1	@	-inf	(*.f32 3 (sqrt.f32 u1))
0.0ms	u1	@	inf	(*.f32 3 (sqrt.f32 u1))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`add-sqr-sqrt`
1184×	`*-un-lft-identity`
1122×	`pow1`
1102×	`add-cube-cbrt`
1092×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	137	11
2	1529	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f32 3 (sqrt.f32 u1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 3 (sqrt.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 3 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 3 (sqrt.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 3 (sqrt.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 3 (sqrt.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u1 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 3 (sqrt.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 3 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 3 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 3 (sqrt.f32 u1))))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1116×	`distribute-lft-in`
1098×	`distribute-rgt-in`
858×	`log-prod`
726×	`distribute-lft-out`
584×	`exp-sum`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	253
1	80	187
2	271	121
3	1659	121
4	5642	121

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

Outputs
(-.f32 (+.f32 1 (*.f32 3 (sqrt.f32 u1))) 1)
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(pow.f32 (*.f32 3 (sqrt.f32 u1)) 1)
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 3 (sqrt.f32 u1))) 2)
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 3 (sqrt.f32 u1))) 3)
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(pow.f32 (pow.f32 (*.f32 3 (sqrt.f32 u1)) 3) 1/3)
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(sqrt.f32 (*.f32 u1 9))
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) 3))
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 3 (sqrt.f32 u1)) 3))
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(expm1.f32 (log1p.f32 (*.f32 3 (sqrt.f32 u1))))
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(exp.f32 (log.f32 (*.f32 3 (sqrt.f32 u1))))
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 3 (sqrt.f32 u1))))
(+.f32 1 (-.f32 (*.f32 3 (sqrt.f32 u1)) 1))
(+.f32 (*.f32 3 (sqrt.f32 u1)) 0)
(*.f32 3 (sqrt.f32 u1))

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 u1)
	0.1b	(sqrt.f32 (log1p.f32 u1))
✓	0.1b	(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
✓	0.7b	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
3.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
1.0ms	u1	@	0	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
1.0ms	u1	@	-inf	(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
1.0ms	u1	@	inf	(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`add-sqr-sqrt`
1332×	`*-un-lft-identity`
1258×	`add-cube-cbrt`
1246×	`add-cbrt-cube`
1232×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	182	20
2	1839	20

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1462×	`associate-/r*`
1210×	`distribute-lft-in`
1068×	`+-commutative`
844×	`associate-/l*`
802×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	7033
1	1057	6457
2	3995	6377

Stop Event

1×	node limit

Counts

67 → 131

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3))))) (+.f32 (.f32 -247/10368 (sqrt.f32 u1)) (+.f32 (.f32 -11/1728 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 -11/1728 (pow.f32 (.f32 1 u1) 1/3)) (.f32 -247/5184 (pow.f32 (.f32 1 u1) 1/3))))))) (pow.f32 u1 3)) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (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 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/6 (*.f32 (/.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 1/18 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 -1/6 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 -1/6 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 3)))) (+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 1/36 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))) (.f32 -1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (-.f32 (+.f32 (.f32 1/36 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))) (.f32 -1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))) (.f32 -1/3 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))))) (pow.f32 u1 3))))))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/3 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) u1)) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/3 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) u1)) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/3)) (.f32 2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.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 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/3 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) u1)) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/3)) (.f32 2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.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 (/.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (+.f32 (.f32 1/36 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/3)) (.f32 2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))))) (+.f32 (.f32 (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3) (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))))) (.f32 2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (-.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/72 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/1296 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))))) (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/72 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/1296 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (.f32 -1/3 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))))) (pow.f32 u1 3))))))))
(pow.f32 u1 1/6)
(+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(+.f32 (.f32 11/288 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6)))
(+.f32 (.f32 11/288 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 -247/10368 (pow.f32 (.f32 1 (pow.f32 u1 19)) 1/6)) (pow.f32 u1 1/6))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/6)
(+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1))))
(+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1)))))
(+.f32 (.f32 (/.f32 (-.f32 (+.f32 (.f32 1/36 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))) (.f32 -1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6)) (+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1))))
(+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1)))))
(+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 -1/12 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (+.f32 (.f32 -1 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (-.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/72 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/1296 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1))))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.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 (sqrt.f32 (log1p.f32 u1)) 1/6) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) 1) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 1/6))
(*.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))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/6)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/3))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/3) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 1 1/3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3))
(pow.f32 (log1p.f32 u1) 1/6)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3)
(pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 2)
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) 3)
(sqrt.f32 (cbrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6)))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(fma.f32 u1 (*.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 u1) (fma.f32 (.f32 (sqrt.f32 u1) -1/4) u1 (.f32 (fma.f32 1/72 (sqrt.f32 u1) (fma.f32 11/288 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)))) (*.f32 u1 u1))))
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(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/3))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/3) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 1 1/3) (pow.f32 (log1p.f32 u1) 1/6))
(pow.f32 (log1p.f32 u1) 1/6)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/6)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(pow.f32 (log1p.f32 u1) 1/6)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3)
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 2)
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) 3)
(pow.f32 (log1p.f32 u1) 1/6)
(sqrt.f32 (cbrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(pow.f32 (log1p.f32 u1) 1/6)
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(pow.f32 (log1p.f32 u1) 1/6)
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(pow.f32 (log1p.f32 u1) 1/6)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(pow.f32 (log1p.f32 u1) 1/6)

localize93.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
	0.3b	(*.f32 (PI.f32) u2)
✓	14.3b	(-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2)

Compiler

Compiled 71 to 37 computations (47.9% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`associate-*r/`
1154×	`associate-*l/`
400×	`add-sqr-sqrt`
386×	`*-un-lft-identity`
384×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	387	42
2	5107	42

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (fma.f32 (PI.f32) u2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (+.f32 (fma.f32 (PI.f32) u2 -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (-.f32 (fma.f32 (PI.f32) u2 -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (PI.f32) u2 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (PI.f32) u2 -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (fma.f32 (PI.f32) u2 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (*.f32 (PI.f32) u2) 4) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2)))) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4) (+.f32 (*.f32 (PI.f32) u2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (-.f32 4 (*.f32 (fma.f32 (PI.f32) u2 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 0) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 0 (pow.f32 (*.f32 (PI.f32) u2) 3)) (+.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (-.f32 0 (*.f32 (*.f32 (PI.f32) u2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) 1) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) 1) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (-.f32 4 (*.f32 (fma.f32 (PI.f32) u2 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 0)) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 0 (pow.f32 (*.f32 (PI.f32) u2) 3))) (+.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (-.f32 0 (*.f32 (*.f32 (PI.f32) u2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4))) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8))) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4))) (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8))) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4))) (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4) 1) (+.f32 (*.f32 (PI.f32) u2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 0) 1) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 0 (pow.f32 (*.f32 (PI.f32) u2) 3)) 1) (+.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (-.f32 0 (*.f32 (*.f32 (PI.f32) u2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)) 1) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)) 1) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)) (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)) (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (pow.f32 (fma.f32 (PI.f32) u2 2) 2)) 16) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 4))) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) 3) 64) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 4))) (+.f32 (*.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (pow.f32 (fma.f32 (PI.f32) u2 2) 2)) (+.f32 16 (*.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) (pow.f32 (fma.f32 (PI.f32) u2 2) 3)) 64) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2)))))) (+.f32 8 (pow.f32 (fma.f32 (PI.f32) u2 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) 3) 512) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2)))))) (+.f32 (*.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) (pow.f32 (fma.f32 (PI.f32) u2 2) 3)) (+.f32 64 (*.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (PI.f32) u2 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u2 (PI.f32) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 (PI.f32) u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 (PI.f32) u2 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 2)) (sqrt.f32 (fma.f32 (PI.f32) u2 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (PI.f32) u2 2)) 2) (cbrt.f32 (fma.f32 (PI.f32) u2 2)) -2)))))

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

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1224×	`associate-*r/`
1156×	`distribute-lft-in`
1118×	`distribute-rgt-in`
954×	`associate-*l/`
762×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	368	6394
1	962	5736
2	3713	5736

Stop Event

1×	node limit

Counts

128 → 180

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 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (*.f32 (PI.f32) u2) 0)
(+.f32 2 (fma.f32 (PI.f32) u2 -2))
(+.f32 2 (+.f32 (fma.f32 (PI.f32) u2 -2) 0))
(+.f32 2 (-.f32 (fma.f32 (PI.f32) u2 -2) 0))
(+.f32 (fma.f32 (PI.f32) u2 2) -2)
(+.f32 0 (*.f32 (PI.f32) u2))
(+.f32 (fma.f32 (PI.f32) u2 -2) 2)
(+.f32 -2 (fma.f32 (PI.f32) u2 2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (.f32 (PI.f32) u2) 1)
(.f32 1 (.f32 (PI.f32) u2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4) (/.f32 1 (+.f32 (.f32 (PI.f32) u2) 4)))
(.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (.f32 2 (fma.f32 (PI.f32) u2 2))))))
(.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 1 (/.f32 (+.f32 (*.f32 (PI.f32) u2) 4) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2)))) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4) (+.f32 (*.f32 (PI.f32) u2) 4))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (-.f32 4 (*.f32 (fma.f32 (PI.f32) u2 2) -2))))
(/.f32 (-.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 0) (.f32 (PI.f32) u2))
(/.f32 (+.f32 0 (pow.f32 (.f32 (PI.f32) u2) 3)) (+.f32 (pow.f32 (.f32 (PI.f32) u2) 2) (-.f32 0 (.f32 (.f32 (PI.f32) u2) 0))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))
(/.f32 (.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) 1) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (.f32 2 (fma.f32 (PI.f32) u2 2)))))
(/.f32 (.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8) 1) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (-.f32 4 (.f32 (fma.f32 (PI.f32) u2 2) -2))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 0)) (*.f32 (PI.f32) u2))
(/.f32 (.f32 1 (+.f32 0 (pow.f32 (.f32 (PI.f32) u2) 3))) (+.f32 (pow.f32 (.f32 (PI.f32) u2) 2) (-.f32 0 (.f32 (*.f32 (PI.f32) u2) 0))))
(/.f32 (.f32 1 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4))) (neg.f32 (+.f32 (.f32 (PI.f32) u2) 4)))
(/.f32 (.f32 1 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8))) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (.f32 2 (fma.f32 (PI.f32) u2 2))))))
(/.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))
(/.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4))) (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8))) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4))) (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))
(/.f32 (.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4) 1) (+.f32 (.f32 (PI.f32) u2) 4))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 0) 1) (*.f32 (PI.f32) u2))
(/.f32 (.f32 (+.f32 0 (pow.f32 (.f32 (PI.f32) u2) 3)) 1) (+.f32 (pow.f32 (.f32 (PI.f32) u2) 2) (-.f32 0 (.f32 (*.f32 (PI.f32) u2) 0))))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)) 1) (neg.f32 (+.f32 (.f32 (PI.f32) u2) 4)))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)) 1) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (.f32 2 (fma.f32 (PI.f32) u2 2))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)) (sqrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)) (sqrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) -8)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2))))))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) -4)) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 4)))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (pow.f32 (fma.f32 (PI.f32) u2 2) 2)) 16) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 4))) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) 4))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) 3) 64) (/.f32 1 (+.f32 (.f32 (PI.f32) u2) 4))) (+.f32 (.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (pow.f32 (fma.f32 (PI.f32) u2 2) 2)) (+.f32 16 (.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) 4))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) (pow.f32 (fma.f32 (PI.f32) u2 2) 3)) 64) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (*.f32 2 (fma.f32 (PI.f32) u2 2)))))) (+.f32 8 (pow.f32 (fma.f32 (PI.f32) u2 2) 3)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) 3) 512) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 2) (+.f32 4 (.f32 2 (fma.f32 (PI.f32) u2 2)))))) (+.f32 (.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) (pow.f32 (fma.f32 (PI.f32) u2 2) 3)) (+.f32 64 (.f32 (pow.f32 (fma.f32 (PI.f32) u2 2) 3) 8))))
(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))
(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)))
(fma.f32 (PI.f32) u2 0)
(fma.f32 u2 (PI.f32) 0)
(fma.f32 1 (*.f32 (PI.f32) u2) 0)
(fma.f32 1 (fma.f32 (PI.f32) u2 2) -2)
(fma.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 (PI.f32) u2)) 0)
(fma.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 2)) (sqrt.f32 (fma.f32 (PI.f32) u2 2)) -2)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (.f32 (PI.f32) u2)) 0)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (PI.f32) u2 2)) 2) (cbrt.f32 (fma.f32 (PI.f32) u2 2)) -2)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(/.f32 (.f32 (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) (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 (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 (.f32 (pow.f32 (sin.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) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(/.f32 (.f32 (-.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) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (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 (.f32 (pow.f32 (sin.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) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 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 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 u1 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (sqrt.f32 -1)) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.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 (cos.f32 (.f32 (PI.f32) (.f32 u2 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)))))))))
(fma.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (/.f32 u1 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (fma.f32 (/.f32 (.f32 -1/2 (sqrt.f32 -1)) (/.f32 u1 (/.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (/.f32 u1 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) u1)) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
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(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
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(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2)))
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(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
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(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
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eval1.1s (8.7%)

Compiler: Compiled 33878 to 23764 computations (29.9% saved)

prune378.0ms (3.1%)

Pruning

62 alts after pruning (51 fresh and 11 done)

	Pruned	Kept	Total
New	942	29	971
Fresh	3	22	25
Picked	0	1	1
Done	3	10	13
Total	948	62	1010

Error

0.0b

Counts

1010 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	7.9b	(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	7.9b	(+.f32 (.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
	11.5b	(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 6) 1)
	8.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.5b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	11.2b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	11.1b	(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1)
	12.1b	(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/6)) 1) 3) 1)
	11.8b	(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)) 3) 1)
✓	11.3b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	10.8b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 u1)) 3) 1)
	7.9b	(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1/4 (.f32 (.f32 -2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2)))) (+.f32 1/8 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 3)))
	14.3b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	11.2b	(.f32 (+.f32 (sqrt.f32 u1) (.f32 u1 (*.f32 (sqrt.f32 u1) -1/4))) 1)
	13.9b	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	11.3b	(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 4)) 1)
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	7.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	8.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (+.f32 (.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2) 1)) 3))
	19.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2 1/2) 2) 1/4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -2)))
	18.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.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)))))
	0.3b	(.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))
	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
	3.2b	(.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))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (+.f32 1/2 (.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1) -2))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (+.f32 1/2 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)) -2))))
	19.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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)))))
	6.6b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 0))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (fma.f32 u2 (PI.f32) (.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))))))
✓	6.2b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	7.9b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	7.9b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
	10.7b	(*.f32 (sqrt.f32 u1) 1)
	30.5b	(*.f32 (neg.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)) 1)
	30.5b	(*.f32 (neg.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))) 1)
	30.5b	(.f32 (neg.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) -1/2 u1))) 1)
✓	30.5b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	30.4b	(*.f32 (neg.f32 (sqrt.f32 (log.f32 (+.f32 u1 1)))) 1)
	30.5b	(*.f32 (neg.f32 (sqrt.f32 u1)) 1)
	30.5b	(*.f32 (neg.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) 1)
	30.5b	(*.f32 (neg.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
	14.6b	(*.f32 (log.f32 (-.f32 (+.f32 1 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)) 1)
	14.2b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) -1/2 u1)))) 1)
	20.3b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1)))) 1)
✓	14.2b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	20.3b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 u1 1))))) 1)
	13.8b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 u1))) 1)
	29.9b	(*.f32 (log.f32 1) 1)
	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (-.f32 (+.f32 (.f32 (PI.f32) u2) 2) 2))))
✓	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
✓	7.9b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	23.9b	(*.f32 3 (sqrt.f32 (log1p.f32 u1)))
✓	23.9b	(*.f32 3 (sqrt.f32 u1))
	8.7b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	11.1b	(sqrt.f32 (log1p.f32 u1))
	20.3b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	11.2b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 953 to 820 computations (14% saved)

regimes403.0ms (3.3%)

Counts

81 → 1

Calls

Call 1

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

Outputs
(.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))))

Calls

10 calls:

60.0ms	(log.f32 (-.f32 1 u1))
47.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
35.0ms	u2
35.0ms	(.f32 (.f32 2 (PI.f32)) u2)
35.0ms	u1

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`u1`
0.2b	1	`u2`
0.2b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.2b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.2b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.2b	1	`(log.f32 (-.f32 1 u1))`
0.2b	1	`(-.f32 1 u1)`
0.2b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.2b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1149 to 660 computations (42.6% saved)

regimes298.0ms (2.4%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

10 calls:

50.0ms	(-.f32 1 u1)
33.0ms	(.f32 (.f32 2 (PI.f32)) u2)
32.0ms	u2
31.0ms	cosTheta_i
31.0ms	u1

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`u1`
0.2b	1	`u2`
0.2b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.2b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.2b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.2b	1	`(log.f32 (-.f32 1 u1))`
0.2b	1	`(-.f32 1 u1)`
0.2b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.2b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 874 to 529 computations (39.5% saved)

regimes112.0ms (0.9%)

Counts

40 → 2

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	u2
33.0ms	u1
16.0ms	cosTheta_i

Results

Error	Segments	Branch
6.2b	1	`cosTheta_i`
3.8b	2	`u1`
3.3b	2	`u2`

Compiler

Compiled 349 to 243 computations (30.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.004927038215100765	0.005097778048366308

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes55.0ms (0.4%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	u2
15.0ms	u1
15.0ms	cosTheta_i

Results

Error	Segments	Branch
6.2b	1	`cosTheta_i`
6.2b	1	`u1`
6.2b	1	`u2`

Compiler

Compiled 306 to 215 computations (29.7% saved)

regimes23.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	u2
7.0ms	cosTheta_i
7.0ms	u1

Results

Error	Segments	Branch
7.3b	1	`cosTheta_i`
7.3b	1	`u1`
7.3b	1	`u2`

Compiler

Compiled 102 to 71 computations (30.4% saved)

regimes16.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	u1
5.0ms	u2
5.0ms	cosTheta_i

Results

Error	Segments	Branch
7.7b	1	`cosTheta_i`
7.7b	1	`u1`
7.7b	1	`u2`

Compiler

Compiled 64 to 47 computations (26.6% saved)

regimes16.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	cosTheta_i
5.0ms	u2
5.0ms	u1

Results

Error	Segments	Branch
8.4b	1	`cosTheta_i`
8.4b	1	`u1`
8.4b	1	`u2`

Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes14.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f32 3 (sqrt.f32 u1))
(*.f32 (log.f32 1) 1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (neg.f32 (sqrt.f32 u1)) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)

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

Calls

3 calls:

5.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Error	Segments	Branch
10.7b	1	`cosTheta_i`
10.7b	1	`u1`
10.7b	1	`u2`

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total -6.0b remaining (-25.1%)

Threshold costs -6.0b (-25.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f32 3 (sqrt.f32 u1))
(*.f32 (log.f32 1) 1)

Outputs
(*.f32 3 (sqrt.f32 u1))

Calls

3 calls:

4.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
23.9b	1	`cosTheta_i`
23.9b	1	`u1`
23.9b	1	`u2`

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

158×	`distribute-lft-neg-in`
112×	`*-commutative`
90×	`distribute-rgt-neg-in`
66×	`+-commutative`
64×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	327
1	108	327
2	131	323
3	181	315
4	223	315
5	283	315
6	358	315
7	435	315
8	452	315
9	454	315

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u2 5368709/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 3 (sqrt.f32 u1))

Outputs
(.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)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)))
(if (<=.f32 u2 5368709/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(if (<=.f32 u2 5368709/1073741824) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.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 (.f32 u1 -1/4) -1/3)))) 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 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))
(sqrt.f32 (+.f32 u1 (.f32 (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 (*.f32 u1 u1)))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) -1/2) u1)))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)
(*.f32 3 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) 3)

Compiler

Compiled 128 to 101 computations (21.1% saved)

soundness29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

end50.0ms (0.4%)

Compiler: Compiled 104 to 56 computations (46.2% 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	66	327
1	108	327
2	131	323
3	181	315
4	223	315
5	283	315
6	358	315
7	435	315
8	452	315
9	454	315

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	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	66	327
1	108	327
2	131	323
3	181	315
4	223	315
5	283	315
6	358	315
7	435	315
8	452	315
9	454	315

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	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	66	327
1	108	327
2	131	323
3	181	315
4	223	315
5	283	315
6	358	315
7	435	315
8	452	315
9	454	315

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