Details

analyze204.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.3s (17.7%)

Results

2.3s	8256×	body	256	valid
1.0ms	3×	body	256	precondition

Bogosity

preprocess50.0ms (0.4%)

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

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

99.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize63.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	98.9%	(.f32 (.f32 2 (PI.f32)) u2)
✓	55.3%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series33.0ms (0.3%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	339	74
2	4099	74

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (.f32 -1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (.f32 (neg.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (.f32 -1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) 1) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) -1) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) 1/2)) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 -1 1/2) (pow.f32 -1 1/2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) 1) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))))))))
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simplify143.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-/r/`
744×	`associate-r`
720×	`associate-l`
688×	`+-commutative`
658×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	8531
1	1298	7491
2	5298	7299

Stop Event

1×	node limit

Counts

211 → 301

Calls

Call 1

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

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

localize49.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	98.9%	(*.f32 (PI.f32) u2)

Compiler

Compiled 47 to 19 computations (59.6% saved)

series10.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
0.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite137.0ms (1.1%)

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)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(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 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(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 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 (PI.f32) (+.f32 u2 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 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(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 u2)))) 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 u2))))) 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 u2))))) 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 u2)))) 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 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 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 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 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 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 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 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(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 u2))))) 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 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 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simplify191.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1448×	`associate-*r/`
1048×	`associate-r`
970×	`associate-l`
708×	`+-commutative`
612×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	9303
1	1186	8139
2	5821	8055

Stop Event

1×	node limit

Counts

189 → 257

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

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

eval440.0ms (3.4%)

Compiler: Compiled 16313 to 10172 computations (37.6% saved)

prune190.0ms (1.5%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	531	27	558
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	531	29	560

Accurracy

99.9%

Counts

560 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	74.1%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	74.0%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	91.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	54.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
▶	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
▶	77.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.4%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	74.4%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	69.2%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
▶	67.6%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	74.4%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))

Compiler

Compiled 1055 to 861 computations (18.4% saved)

localize115.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
✓	99.1%	(expm1.f32 (*.f32 (PI.f32) u2))
	98.9%	(*.f32 (PI.f32) u2)
✓	59.8%	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))

Compiler

Compiled 77 to 35 computations (54.5% saved)

series34.0ms (0.3%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	u2	@	inf	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
10.0ms	u2	@	-inf	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
2.0ms	u2	@	-inf	(expm1.f32 (*.f32 (PI.f32) u2))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`distribute-rgt-in`
756×	`distribute-lft-in`
580×	`associate-*r/`
448×	`associate-*l/`
380×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	63
1	398	55
2	4633	55

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs

(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))

(expm1.f32 (*.f32 (PI.f32) u2))

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

simplify174.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-+r+`
772×	`+-commutative`
754×	`associate-/l*`
674×	`associate-r`
646×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	6970
1	1139	6000
2	4609	5820

Stop Event

1×	node limit

Counts

156 → 221

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (.f32 u2 (PI.f32)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (.f32 -3 (pow.f32 (PI.f32) 3)))))) (.f32 u2 (PI.f32))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (.f32 -3 (pow.f32 (PI.f32) 3)))))) (+.f32 (.f32 1/24 (.f32 (+.f32 (.f32 12 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 4)) (+.f32 (pow.f32 (PI.f32) 4) (.f32 -6 (pow.f32 (PI.f32) 4)))))) (pow.f32 u2 4))) (.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 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (.f32 1/6 (*.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 (.f32 1/24 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(.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 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (.f32 (+.f32 (pow.f32 (PI.f32) 2) (.f32 -1 (pow.f32 (PI.f32) 2))) (PI.f32)))) (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 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (.f32 (+.f32 (pow.f32 (PI.f32) 2) (.f32 -1 (pow.f32 (PI.f32) 2))) (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -1/2 (pow.f32 (+.f32 (pow.f32 (PI.f32) 2) (.f32 -1 (pow.f32 (PI.f32) 2))) 2)) (.f32 -2/3 (.f32 (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (*.f32 -3 (pow.f32 (PI.f32) 3)))) (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 (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 0 (*.f32 (PI.f32) u2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2)))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2))) (.f32 1 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))) (.f32 1 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2)) 1) (.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 1))
(+.f32 (.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 1) (.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 1))
(-.f32 (log.f32 (+.f32 1 (pow.f32 (expm1.f32 (.f32 (PI.f32) u2)) 3))) (log.f32 (+.f32 1 (.f32 (expm1.f32 (*.f32 (PI.f32) u2)) (+.f32 (pow.f32 (exp.f32 (PI.f32)) u2) -2)))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (.f32 (PI.f32) u2)) 2))) (log.f32 (-.f32 1 (expm1.f32 (.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(-.f32 (+.f32 0 (log.f32 (+.f32 1 (pow.f32 (expm1.f32 (.f32 (PI.f32) u2)) 3)))) (log.f32 (+.f32 1 (.f32 (expm1.f32 (*.f32 (PI.f32) u2)) (+.f32 (pow.f32 (exp.f32 (PI.f32)) u2) -2)))))
(-.f32 (+.f32 0 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (.f32 (PI.f32) u2)) 2)))) (log.f32 (-.f32 1 (expm1.f32 (.f32 (PI.f32) u2)))))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 1)
(.f32 1 (.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (.f32 (PI.f32) u2) 1)
(*.f32 2 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.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 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.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 (cbrt.f32 (.f32 u2 u2)) (*.f32 (cbrt.f32 u2) (PI.f32)))
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (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)))
(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))
(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 1 (+.f32 (pow.f32 (exp.f32 (PI.f32)) u2) -2))
(+.f32 1 (+.f32 (+.f32 (pow.f32 (exp.f32 (PI.f32)) u2) -2) 0))
(+.f32 1 (*.f32 1 (+.f32 (pow.f32 (exp.f32 (PI.f32)) u2) -2)))
(+.f32 1 (*.f32 (+.f32 (pow.f32 (exp.f32 (PI.f32)) u2) -2) 1))
(+.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 0)
(+.f32 (pow.f32 (exp.f32 (PI.f32)) u2) -1)
(+.f32 0 (expm1.f32 (*.f32 (PI.f32) u2)))
(+.f32 -1 (pow.f32 (exp.f32 (PI.f32)) u2))
(+.f32 (+.f32 (pow.f32 (exp.f32 (PI.f32)) u2) -2) 1)
(-.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 1)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 2)
(-.f32 (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2)) 2)
(-.f32 (/.f32 1 (-.f32 1 (expm1.f32 (.f32 (PI.f32) u2)))) (-.f32 (/.f32 (pow.f32 (expm1.f32 (.f32 (PI.f32) u2)) 2) (-.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))) -1))
(-.f32 (/.f32 1 (-.f32 1 (expm1.f32 (.f32 (PI.f32) u2)))) (+.f32 (/.f32 (pow.f32 (expm1.f32 (.f32 (PI.f32) u2)) 2) (-.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))) 1))
(.f32 1 (expm1.f32 (.f32 (PI.f32) u2)))
(.f32 (expm1.f32 (.f32 (PI.f32) u2)) 1)
(.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 2))
(.f32 (pow.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) 2) (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(*.f32 (+.f32 1 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (-.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 1))
(/.f32 1 (/.f32 (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2)) (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(/.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2)))
(/.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2)) (sqrt.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(/.f32 (.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))) (/.f32 (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2)) (cbrt.f32 (expm1.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 3) 1) (+.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 2) (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 3) 1)) (+.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 2) (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2))))
(/.f32 (.f32 (expm1.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 3) 1) 1) (+.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) u2) 2) (+.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2))))
(pow.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 2)
(pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 2))
(log.f32 (exp.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 3))
(exp.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (.f32 (log.f32 (expm1.f32 (.f32 (PI.f32) u2))) 1))
(log1p.f32 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(fma.f32 1 (pow.f32 (exp.f32 (PI.f32)) u2) -1)
(fma.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) -1)
(fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2) (cbrt.f32 (pow.f32 (exp.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)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) 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 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(+.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 (.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 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (.f32 u2 (PI.f32)))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (.f32 0 (pow.f32 (PI.f32) 2))) (.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (.f32 u2 (.f32 u2 0)))
(.f32 u2 (+.f32 (PI.f32) (.f32 u2 0)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (.f32 -3 (pow.f32 (PI.f32) 3)))))) (.f32 u2 (PI.f32))))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (.f32 0 (pow.f32 (PI.f32) 2))) (fma.f32 1/6 (.f32 (pow.f32 u2 3) (fma.f32 2 (pow.f32 (PI.f32) 3) (.f32 -2 (pow.f32 (PI.f32) 3)))) (.f32 u2 (PI.f32))))
(+.f32 (.f32 u2 (.f32 u2 0)) (fma.f32 u2 (PI.f32) (.f32 1/6 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) 0)))))
(+.f32 (.f32 u2 (+.f32 (PI.f32) (.f32 u2 0))) (.f32 (.f32 (pow.f32 (PI.f32) 3) 0) (*.f32 1/6 (pow.f32 u2 3))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (.f32 -3 (pow.f32 (PI.f32) 3)))))) (+.f32 (.f32 1/24 (.f32 (+.f32 (.f32 12 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 4)) (+.f32 (pow.f32 (PI.f32) 4) (.f32 -6 (pow.f32 (PI.f32) 4)))))) (pow.f32 u2 4))) (.f32 u2 (PI.f32)))))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (.f32 0 (pow.f32 (PI.f32) 2))) (fma.f32 1/6 (.f32 (pow.f32 u2 3) (fma.f32 2 (pow.f32 (PI.f32) 3) (.f32 -2 (pow.f32 (PI.f32) 3)))) (fma.f32 1/24 (.f32 (fma.f32 12 (pow.f32 (PI.f32) 4) (fma.f32 -3 (pow.f32 (PI.f32) 4) (fma.f32 -4 (pow.f32 (PI.f32) 4) (.f32 -5 (pow.f32 (PI.f32) 4))))) (pow.f32 u2 4)) (.f32 u2 (PI.f32)))))
(+.f32 (.f32 u2 (.f32 u2 0)) (fma.f32 1/6 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) 0)) (fma.f32 (.f32 1/24 (+.f32 (.f32 (pow.f32 (PI.f32) 4) -9) (.f32 (pow.f32 (PI.f32) 4) 9))) (pow.f32 u2 4) (.f32 u2 (PI.f32)))))
(+.f32 (.f32 u2 (+.f32 (PI.f32) (.f32 u2 0))) (fma.f32 1/6 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) 0)) (.f32 1/24 (.f32 (*.f32 (pow.f32 (PI.f32) 4) 0) (pow.f32 u2 4)))))
(*.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 1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (.f32 u2 (PI.f32)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 u2 (PI.f32) (.f32 1/6 (pow.f32 (.f32 u2 (PI.f32)) 3))))
(fma.f32 1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 u2 (PI.f32) (.f32 1/6 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(fma.f32 1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 1/6 (pow.f32 (.f32 u2 (PI.f32)) 3) (*.f32 u2 (PI.f32))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 u2 (PI.f32) (fma.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) (pow.f32 u2 4)) (.f32 1/6 (pow.f32 (*.f32 u2 (PI.f32)) 3)))))
(fma.f32 1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 u2 (PI.f32) (fma.f32 1/6 (pow.f32 (.f32 u2 (PI.f32)) 3) (.f32 (pow.f32 (PI.f32) 4) (.f32 1/24 (pow.f32 u2 4))))))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(expm1.f32 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(expm1.f32 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(expm1.f32 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(expm1.f32 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(expm1.f32 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(expm1.f32 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(expm1.f32 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(expm1.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 (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 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (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)))))
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(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (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)))
(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)))))
(.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)))))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (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)))
(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)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 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)))
(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)))
(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)))
(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)))

localize53.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f32 (neg.f32 u1))
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 92

Calls

Call 1

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

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

localize93.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
✓	99.5%	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2))
✓	99.1%	(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
✓	98.9%	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 54 to 18 computations (66.7% saved)

series71.0ms (0.6%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
63.0ms	u2	@	inf	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2))
1.0ms	u1	@	inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
1.0ms	u1	@	-inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
1.0ms	u2	@	inf	(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
1.0ms	u1	@	0	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`unswap-sqr`
844×	`swap-sqr`
534×	`associate-*r/`
480×	`distribute-rgt-in`
460×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	308	108
2	3789	52

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1246×	`distribute-lft-in`
1238×	`distribute-rgt-in`
774×	`associate-*r/`
670×	`associate-+r+`
608×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	5440
1	1029	5108
2	3202	5076

Stop Event

1×	node limit

Counts

150 → 219

Calls

Call 1

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

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

localize56.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
✓	99.4%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	98.9%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	96.9%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

Compiler

Compiled 58 to 12 computations (79.3% saved)

series59.0ms (0.5%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
39.0ms	u2	@	-inf	(log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
13.0ms	u2	@	inf	(log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
1.0ms	u1	@	inf	(log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
1.0ms	u1	@	-inf	(log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
1.0ms	u1	@	inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

rewrite119.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`unswap-sqr`
814×	`swap-sqr`
572×	`distribute-rgt-in`
570×	`associate-*r/`
562×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	103
1	294	103
2	3579	61

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs

(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))

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

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

Outputs

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

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

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

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1518×	`associate-/l*`
1188×	`associate-*r/`
896×	`associate-*l/`
712×	`associate-+r+`
586×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	9404
1	1195	8388
2	4163	8384

Stop Event

1×	node limit

Counts

170 → 211

Calls

Call 1

Inputs
(.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)))))
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(expm1.f32 (log1p.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(exp.f32 (log.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(exp.f32 (.f32 (log.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 1))
(log1p.f32 (-.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1))

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

localize91.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(cbrt.f32 (*.f32 (PI.f32) u2))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	98.9%	(*.f32 (PI.f32) u2)
✓	97.7%	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)

Compiler

Compiled 67 to 29 computations (56.7% saved)

series8.0ms (0.1%)

Counts

3 → 20

Calls

12 calls:

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

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`unswap-sqr`
934×	`swap-sqr`
476×	`distribute-rgt-in`
430×	`distribute-lft-in`
368×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	63
1	388	55
2	4438	55

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
(cbrt.f32 (*.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 *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.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 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(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 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.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 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.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 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simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

968×	`distribute-lft-in`
962×	`distribute-rgt-in`
728×	`associate-r`
666×	`associate-l`
612×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	5961
1	1002	5095
2	3520	4859

Stop Event

1×	node limit

Counts

125 → 200

Calls

Call 1

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

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

eval878.0ms (6.8%)

Compiler: Compiled 29747 to 19651 computations (33.9% saved)

prune281.0ms (2.2%)

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1053	13	1066
Fresh	1	21	22
Picked	0	1	1
Done	1	5	6
Total	1055	40	1095

Accurracy

99.9%

Counts

1095 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	60.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	74.1%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	61.4%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	74.0%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	67.6%	(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	73.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	91.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	72.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	87.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	70.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	54.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	63.0%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
✓	77.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.4%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	5.8%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	71.1%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) u1))
	61.6%	(sqrt.f32 (log1p.f32 u1))
	35.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
▶	60.7%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
✓	67.6%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	61.6%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
▶	74.4%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))

Compiler

Compiled 1247 to 1021 computations (18.1% saved)

localize93.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
	98.9%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	98.9%	(*.f32 u2 (PI.f32))
✓	98.4%	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 105 to 38 computations (63.8% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`associate-*l/`
504×	`add-sqr-sqrt`
488×	`*-un-lft-identity`
484×	`pow1`
464×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	105
1	494	97
2	6518	93

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs

(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

(*.f32 u2 (PI.f32))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1/2 (exp.f32 (log1p.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2) (*.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2)) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (cos.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (cos.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 (log.f32 (sin.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))

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

simplify309.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate-/l*`
692×	`+-commutative`
604×	`associate-/r*`
518×	`associate-+r+`
518×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	8682
1	975	7484
2	3709	7076

Stop Event

1×	node limit

Counts

102 → 188

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

Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 u2 (PI.f32)) 2)
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 u2 (PI.f32)) 2))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 u2 (PI.f32)) 2))))
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(.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3) 1/8 (pow.f32 (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)) (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) 1/4 0)))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) 1/4) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1/2) 2))) (.f32 (sqrt.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) 1/4) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1/2) 2))) (/.f32 (sqrt.f32 0) (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) 1/4) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1/2) 2))) (/.f32 (/.f32 (sqrt.f32 0) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(.f32 (/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (sqrt.f32 0)) (sqrt.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) 1/4) (pow.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1/2) 2))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/8) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1/2) 3))) (.f32 (sqrt.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) 1/4) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1/2) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) 1/8) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1/2) 3))) (/.f32 (sqrt.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) 1/4 (.f32 0 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1/2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))))
(.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/8) (pow.f32 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) -1/2) 3))) (sqrt.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) 1/4 0))) (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(.f32 (/.f32 (.f32 (sqrt.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3) 1/8 (pow.f32 (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 3)))) (sqrt.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) 1/4 0))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1)
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) 2)
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) 3)
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 3) 1/3)
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 3))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) 1))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(.f32 (-.f32 (fma.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1)))

localize20.0ms (0.2%)

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

localize54.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f32 u1)
✓	99.9%	(log.f32 (log1p.f32 u1))
✓	96.4%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series4.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(log.f32 (log1p.f32 u1))
1.0ms	u1	@	inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
1.0ms	u1	@	inf	(log.f32 (log1p.f32 u1))
1.0ms	u1	@	-inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
0.0ms	u1	@	0	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	171	23
2	1889	23

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

906×	`associate-/r*`
626×	`times-frac`
564×	`distribute-rgt-in`
558×	`distribute-lft-in`
496×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	4044
1	692	3352
2	2817	2948

Stop Event

1×	node limit

Counts

100 → 183

Calls

Call 1

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

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

localize112.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(sqrt.f32 (log1p.f32 u1))
✓	99.4%	(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))
✓	98.7%	(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
✓	96.9%	(pow.f32 (PI.f32) 2)

Compiler

Compiled 62 to 35 computations (43.5% saved)

series5.0ms (0%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))
1.0ms	u1	@	-inf	(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))
1.0ms	u1	@	0	(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))
1.0ms	u2	@	0	(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
0.0ms	u2	@	inf	(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`swap-sqr`
598×	`distribute-rgt-in`
578×	`associate-*r/`
536×	`distribute-lft-in`
482×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	82
1	365	70
2	4284	70

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 2)
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(.f32 (+.f32 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2) 1) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))

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

simplify160.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1638×	`associate-/r/`
838×	`associate-r`
778×	`associate-l`
606×	`associate-/l*`
562×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	10292
1	1088	8808
2	5604	8684

Stop Event

1×	node limit

Counts

168 → 223

Calls

Call 1

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

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

localize97.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))
✓	99.0%	(pow.f32 (log1p.f32 u1) 3/2)
	98.9%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	98.8%	(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)

Compiler

Compiled 63 to 25 computations (60.3% saved)

series6.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`swap-sqr`
564×	`associate-*r/`
488×	`distribute-lft-in`
486×	`distribute-rgt-in`
438×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	75
1	356	75
2	4304	47

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

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

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-/r*`
760×	`associate-*r/`
676×	`associate-/l*`
660×	`distribute-lft-in`
648×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	5317
1	1145	4923
2	3322	4599

Stop Event

1×	node limit

Counts

115 → 177

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 4 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))))) (+.f32 1 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (.f32 -2 (pow.f32 (PI.f32) 2))))))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 4 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))))) (+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (.f32 -2 (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -16/3 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -2 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (pow.f32 (PI.f32) 6)))))))))
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
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(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 (.f32 1/2 (cos.f32 0)) (.f32 (*.f32 1/2 (cos.f32 0)) (cos.f32 0)))
(+.f32 (.f32 (cos.f32 0) 1/2) (.f32 (cos.f32 0) (*.f32 1/2 (cos.f32 0))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3))) 1)
(*.f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2))
(*.f32 (pow.f32 (cos.f32 0) 3) 1)
(*.f32 1 (pow.f32 (cos.f32 0) 3))
(.f32 (sqrt.f32 (cos.f32 0)) (.f32 (sqrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))
(*.f32 (pow.f32 (cos.f32 0) 3/2) (pow.f32 (cos.f32 0) 3/2))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (.f32 (cbrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))
(*.f32 (pow.f32 (cos.f32 0) 2) (cos.f32 0))
(.f32 (.f32 (pow.f32 (cos.f32 0) 2) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))
(.f32 (.f32 (pow.f32 (cos.f32 0) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))
(*.f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3) (pow.f32 (sqrt.f32 (cos.f32 0)) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3) (cos.f32 0))
(.f32 (.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (pow.f32 (cos.f32 0) 3))
(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3/2)) (*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 3/2) (pow.f32 (cbrt.f32 (cos.f32 0)) 3/2)))
(/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) (cos.f32 0))) 2)
(/.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (cos.f32 0)) 2)
(sqrt.f32 (pow.f32 (cos.f32 0) 6))
(log.f32 (exp.f32 (pow.f32 (cos.f32 0) 3)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 0) 3))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 0) 3) 3))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3)))
(exp.f32 (*.f32 3 (log.f32 (cos.f32 0))))
(exp.f32 (.f32 (.f32 3 (log.f32 (cos.f32 0))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 0) 3)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(*.f32 (log1p.f32 u1) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (log1p.f32 u1))
(*.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(.f32 (.f32 (pow.f32 1 3/4) (pow.f32 1 3/4)) (pow.f32 (log1p.f32 u1) 3/2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 3/4) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 3/4)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) 1)
(*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(.f32 1 (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(.f32 (sqrt.f32 (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (sqrt.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 0))
(.f32 (cbrt.f32 (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))
(.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))) (cbrt.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1) (cos.f32 0))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))
(.f32 (pow.f32 1 1/3) (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(.f32 (pow.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (cos.f32 0) 3/2)) 1/3) (pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (cos.f32 0) 3/2)) 1/3))
(.f32 (pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)) 1/3) (cbrt.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(pow.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)
(pow.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) 3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(log.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (cos.f32 0)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))) 1/3))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))

Outputs
1
(+.f32 1 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -6)))
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -6) 1)
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 4 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))))) (+.f32 1 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (.f32 -2 (pow.f32 (PI.f32) 2))))))
(fma.f32 (pow.f32 u2 4) (fma.f32 4/3 (pow.f32 (PI.f32) 4) (fma.f32 2/3 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 12))) (+.f32 1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -6))))
(fma.f32 (pow.f32 u2 4) (fma.f32 4/3 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 38/3)) (fma.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -6) 1))
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(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(.f32 (pow.f32 1 1/3) (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(.f32 (pow.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (cos.f32 0) 3/2)) 1/3) (pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (cos.f32 0) 3/2)) 1/3))
(.f32 (cbrt.f32 (.f32 1 (pow.f32 (log1p.f32 u1) 3/4))) (cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/4))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)))
(.f32 (pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)) 1/3) (cbrt.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (cbrt.f32 (.f32 1 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(pow.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) 2)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) 3)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (cos.f32 0)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(exp.f32 (log.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))) 1/3))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

eval784.0ms (6.1%)

Compiler: Compiled 26723 to 18269 computations (31.6% saved)

prune305.0ms (2.4%)

Pruning

54 alts after pruning (44 fresh and 10 done)

	Pruned	Kept	Total
New	760	17	777
Fresh	2	27	29
Picked	0	1	1
Done	1	9	10
Total	763	54	817

Accurracy

100.0%

Counts

817 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.4%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
	73.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	60.7%	(pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1))))
▶	-0.0%	(/.f32 -1 0)
	52.9%	(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
	54.3%	(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
	60.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	74.1%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	74.0%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	67.6%	(.f32 (+.f32 (.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2) 1) (sqrt.f32 (log1p.f32 u1)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	73.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
▶	91.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	72.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	87.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	70.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	54.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	76.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	63.0%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2) 1/2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1) 1/2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)) 1/2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) 1/2)))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
✓	77.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.4%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	5.8%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	71.1%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) u1))
	61.6%	(sqrt.f32 (log1p.f32 u1))
	35.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
▶	60.7%	(exp.f32 (.f32 (+.f32 (log.f32 u1) (.f32 u1 -1/2)) 1/2))
	36.5%	(exp.f32 (*.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2))
	60.7%	(exp.f32 (.f32 (log.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)) 1/2))
	35.1%	(exp.f32 (*.f32 (log.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1)) 1/2))
✓	60.7%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
	35.1%	(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 u1 1))) 1/2))
	62.0%	(exp.f32 (*.f32 (log.f32 u1) 1/2))
✓	67.6%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	61.6%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
✓	74.4%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))
	72.6%	(cbrt.f32 (.f32 (exp.f32 (.f32 3/2 (log.f32 (log1p.f32 u1)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))

Compiler

Compiled 1596 to 1330 computations (16.7% saved)

localize149.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
	98.9%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	98.4%	(pow.f32 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2)
✓	96.9%	(pow.f32 (PI.f32) 3)

Compiler

Compiled 149 to 87 computations (41.6% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
0.0ms	u2	@	-inf	(pow.f32 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2)
0.0ms	u2	@	inf	(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
0.0ms	u2	@	-inf	(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
0.0ms	u2	@	0	(pow.f32 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2)

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`*-commutative`
1016×	`unswap-sqr`
658×	`swap-sqr`
494×	`sqr-pow`
456×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	293	43
2	3190	43

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 3)
(pow.f32 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2)
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 -1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (neg.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (cos.f32 0) 2) (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 4) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (fabs.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2)) (*.f32 (fabs.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 4))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 4)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 4)) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2) (fabs.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2) (fabs.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 6) 1/6) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 2 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) 1) (+.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1/4 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1/8 (pow.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)) (+.f32 1/4 (+.f32 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (*.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 (log.f32 (sin.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))) 1) (+.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) u2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (pow.f32 u2 3) 3) (pow.f32 (pow.f32 (PI.f32) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3 (log.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))))

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-/r/`
1048×	`associate-/l/`
1004×	`fma-def`
648×	`distribute-lft-in`
644×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	3019
1	671	2655
2	2224	2615
3	6542	2615

Stop Event

1×	node limit

Counts

117 → 139

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

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

localize7.0ms (0.1%)

Compiler: Compiled 8 to 8 computations (0% saved)

localize44.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.3%	(+.f32 (log.f32 u1) (*.f32 u1 -1/2))
✓	96.5%	(exp.f32 (.f32 (+.f32 (log.f32 u1) (.f32 u1 -1/2)) 1/2))

Compiler

Compiled 34 to 22 computations (35.3% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(+.f32 (log.f32 u1) (*.f32 u1 -1/2))
2.0ms	u1	@	-inf	(+.f32 (log.f32 u1) (*.f32 u1 -1/2))
1.0ms	u1	@	inf	(+.f32 (log.f32 u1) (*.f32 u1 -1/2))
0.0ms	u1	@	0	(exp.f32 (.f32 (+.f32 (log.f32 u1) (.f32 u1 -1/2)) 1/2))
0.0ms	u1	@	inf	(exp.f32 (.f32 (+.f32 (log.f32 u1) (.f32 u1 -1/2)) 1/2))

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`*-commutative`
704×	`unswap-sqr`
560×	`distribute-lft-in`
556×	`swap-sqr`
550×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	223	34
2	2714	34

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1786×	`associate-*l/`
838×	`associate-/r/`
584×	`associate-+r+`
560×	`associate-r`
534×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	6915
1	1050	6261
2	4213	6107

Stop Event

1×	node limit

Counts

153 → 211

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(+.f32 (.f32 1/32 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(+.f32 (.f32 1/32 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (sqrt.f32 u1) (*.f32 -1/384 (sqrt.f32 (pow.f32 u1 7))))))
(exp.f32 (.f32 1/2 (-.f32 (log.f32 u1) (.f32 1/2 u1))))
(exp.f32 (.f32 1/2 (-.f32 (log.f32 u1) (.f32 1/2 u1))))
(exp.f32 (.f32 1/2 (-.f32 (log.f32 u1) (.f32 1/2 u1))))
(exp.f32 (.f32 1/2 (-.f32 (log.f32 u1) (.f32 1/2 u1))))
(exp.f32 (.f32 1/2 (+.f32 (log.f32 u1) (.f32 -1/2 u1))))
(exp.f32 (.f32 1/2 (+.f32 (log.f32 u1) (.f32 -1/2 u1))))
(exp.f32 (.f32 1/2 (+.f32 (log.f32 u1) (.f32 -1/2 u1))))
(exp.f32 (.f32 1/2 (+.f32 (log.f32 u1) (.f32 -1/2 u1))))
(log.f32 u1)
(+.f32 (log.f32 u1) (*.f32 -1/2 u1))
(+.f32 (log.f32 u1) (*.f32 -1/2 u1))
(+.f32 (log.f32 u1) (*.f32 -1/2 u1))
(*.f32 -1/2 u1)
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (.f32 -1/2 u1))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (.f32 -1/2 u1))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (.f32 -1/2 u1))
(*.f32 -1/2 u1)
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (.f32 -1/2 u1)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (.f32 -1/2 u1)))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (.f32 -1/2 u1)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))) 1)
(.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1))) 1)
(.f32 1 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))
(.f32 (pow.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)) 1/4) (pow.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)) 1/4))
(.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))) (cbrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))
(.f32 (cbrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))) (cbrt.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))) (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))) (cbrt.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)) 1/4)) (sqrt.f32 (cbrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))) (.f32 (cbrt.f32 (pow.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)) 1/4)) (sqrt.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))) (cbrt.f32 (pow.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)) 1/4))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))) (cbrt.f32 (pow.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)) 1/4))))
(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))) 3/2))
(.f32 (pow.f32 (pow.f32 (sqrt.f32 (.f32 u1 (pow.f32 (exp.f32 -1/2) u1))) 3) 1/6) (pow.f32 (pow.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))) 3) 1/6))
(*.f32 (pow.f32 (exp.f32 1/2) (/.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 2)) (pow.f32 (exp.f32 1/2) (/.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 2)))
(.f32 (pow.f32 (exp.f32 1) (/.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2) 2)) (pow.f32 (exp.f32 1) (/.f32 (*.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2) 2)))
(.f32 (pow.f32 (exp.f32 (sqrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2))) (/.f32 (sqrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2)) (pow.f32 (exp.f32 (sqrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2))) (/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2)))
(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2)) (/.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2)) (/.f32 (cbrt.f32 (*.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2)))
(pow.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))) 1)
(pow.f32 (pow.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))) 3)
(pow.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)) 1/2)
(pow.f32 (pow.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))) 3) 1/3)
(pow.f32 (exp.f32 1/2) (fma.f32 u1 -1/2 (log.f32 u1)))
(pow.f32 (exp.f32 1) (*.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2))) (sqrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2)) (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))))))
(cbrt.f32 (pow.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1))) 3))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2))) (-.f32 1 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) 1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 -1/2))) (-.f32 1 (log.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 u1))) (-.f32 1 (*.f32 u1 -1/2)))
(-.f32 (/.f32 (pow.f32 (log.f32 u1) 2) (+.f32 (log.f32 u1) (.f32 u1 1/2))) (/.f32 1/4 (/.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2)) (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 u1) (exp.f32 (log1p.f32 (*.f32 u1 -1/2)))) 1)
(-.f32 (+.f32 (*.f32 u1 -1/2) (exp.f32 (log1p.f32 (log.f32 u1)))) 1)
(-.f32 (+.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2) (exp.f32 (log1p.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)))) 1)
(*.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1)
(*.f32 1/2 (+.f32 (fma.f32 u1 -1/2 (log.f32 u1)) (fma.f32 u1 -1/2 (log.f32 u1))))
(.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2) 2)
(*.f32 1 (fma.f32 u1 -1/2 (log.f32 u1)))
(*.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (+.f32 (.f32 1/2 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (*.f32 1/2 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) (+.f32 (sqrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) (sqrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2))))
(*.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2))
(.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (+.f32 (.f32 1/2 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)) (*.f32 1/2 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2) (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2) (+.f32 (.f32 1/2 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (*.f32 1/2 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))))))
(.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) (+.f32 (pow.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2) (pow.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) 2) (+.f32 (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2)) (cbrt.f32 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2))))
(.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (/.f32 1 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (/.f32 1 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(.f32 (.f32 1/2 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)) (+.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))))
(.f32 (.f32 1/2 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (+.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))))
(.f32 (.f32 1/2 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (+.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)))
(.f32 2 (.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1/2))
(.f32 (/.f32 1 (+.f32 (log.f32 u1) (.f32 u1 1/2))) (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)))
(.f32 (/.f32 1 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))) (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))))
(.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (*.f32 u1 u1) -1/4))) (fma.f32 u1 -1/2 (log.f32 u1)))
(.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 1/8 (pow.f32 u1 3)))) (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 -1/2) (fma.f32 u1 -1/2 (log.f32 u1)))))
(.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (-.f32 (pow.f32 (log.f32 u1) 4) (pow.f32 (.f32 (.f32 u1 -1/2) (-.f32 (.f32 u1 -1/2) (log.f32 u1))) 2))) (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 1/2) (-.f32 (.f32 u1 -1/2) (log.f32 u1)))))
(.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (+.f32 (pow.f32 (pow.f32 (log.f32 u1) 2) 3) (pow.f32 (.f32 (.f32 u1 -1/2) (-.f32 (.f32 u1 -1/2) (log.f32 u1))) 3))) (+.f32 (pow.f32 (log.f32 u1) 4) (.f32 (.f32 (.f32 u1 -1/2) (-.f32 (.f32 u1 -1/2) (log.f32 u1))) (-.f32 (.f32 (.f32 u1 -1/2) (-.f32 (.f32 u1 -1/2) (log.f32 u1))) (pow.f32 (log.f32 u1) 2)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2))))
(.f32 (.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (sqrt.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))))) (*.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (sqrt.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)) (cbrt.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)) (cbrt.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 3) 1/6) (pow.f32 (pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 3) 1/6))
(/.f32 (fma.f32 u1 -1/2 (log.f32 u1)) (/.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2)) (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(/.f32 1 (/.f32 1 (fma.f32 u1 -1/2 (log.f32 u1))))
(/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (+.f32 (log.f32 u1) (*.f32 u1 1/2)))
(/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2)))))
(/.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (/.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (fma.f32 u1 -1/2 (log.f32 u1))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3)))) (/.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4))) (/.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2)) (sqrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (*.f32 u1 u1) -1/4)))))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))))) (/.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))))))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4))) (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)))) (/.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2)) (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)))))
(/.f32 (-.f32 (pow.f32 (log.f32 u1) 6) (.f32 1/64 (pow.f32 u1 6))) (.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (+.f32 (pow.f32 (log.f32 u1) 3) (*.f32 1/8 (pow.f32 u1 3)))))
(/.f32 (-.f32 (.f32 1/4 (.f32 u1 u1)) (pow.f32 (log.f32 u1) 2)) (-.f32 (*.f32 u1 -1/2) (log.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log.f32 u1) 4) (.f32 1/16 (pow.f32 u1 4))) (.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2)) (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 1/4 (*.f32 u1 u1)))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (log.f32 u1) 3) 3) (pow.f32 (.f32 -1/8 (pow.f32 u1 3)) 3)) (.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (+.f32 (pow.f32 (log.f32 u1) 6) (.f32 (.f32 -1/8 (pow.f32 u1 3)) (-.f32 (*.f32 -1/8 (pow.f32 u1 3)) (pow.f32 (log.f32 u1) 3))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (log.f32 u1) 2) 3) (pow.f32 (.f32 1/4 (.f32 u1 u1)) 3)) (.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2)) (+.f32 (+.f32 (pow.f32 (log.f32 u1) 4) (.f32 1/16 (pow.f32 u1 4))) (pow.f32 (.f32 (log.f32 u1) (*.f32 u1 -1/2)) 2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4))) (neg.f32 (+.f32 (log.f32 u1) (*.f32 u1 1/2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3)))) (neg.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2))))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))))) (sqrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) (sqrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)))) (sqrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2) (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))))) (cbrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2) (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)))) (cbrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(/.f32 (.f32 (-.f32 (.f32 1/4 (.f32 u1 u1)) (pow.f32 (log.f32 u1) 2)) 1) (-.f32 (.f32 u1 -1/2) (log.f32 u1)))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4))) 1) (neg.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3)))) 1) (neg.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3)))) (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (sqrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4))) (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1)))) (sqrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3)))) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)) (cbrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(/.f32 (.f32 (cbrt.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4))) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)) (cbrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(/.f32 (.f32 (-.f32 (pow.f32 (log.f32 u1) 4) (.f32 1/16 (pow.f32 u1 4))) (/.f32 1 (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 1/4 (*.f32 u1 u1))))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (log.f32 u1) 2) 3) (pow.f32 (.f32 1/4 (.f32 u1 u1)) 3)) (/.f32 1 (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (+.f32 (+.f32 (pow.f32 (log.f32 u1) 4) (.f32 1/16 (pow.f32 u1 4))) (pow.f32 (.f32 (log.f32 u1) (*.f32 u1 -1/2)) 2)))
(/.f32 (.f32 (-.f32 (pow.f32 (log.f32 u1) 6) (.f32 1/64 (pow.f32 u1 6))) (/.f32 1 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))))) (+.f32 (pow.f32 (log.f32 u1) 3) (*.f32 1/8 (pow.f32 u1 3))))
(/.f32 (.f32 (+.f32 (pow.f32 (pow.f32 (log.f32 u1) 3) 3) (pow.f32 (.f32 -1/8 (pow.f32 u1 3)) 3)) (/.f32 1 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))))) (+.f32 (pow.f32 (log.f32 u1) 6) (.f32 (.f32 -1/8 (pow.f32 u1 3)) (-.f32 (*.f32 -1/8 (pow.f32 u1 3)) (pow.f32 (log.f32 u1) 3)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) 1) (+.f32 (log.f32 u1) (*.f32 u1 1/2)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (sqrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (sqrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (.f32 (cbrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))) (cbrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))) (cbrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (+.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (.f32 u1 -1/2)))) (-.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (.f32 u1 -1/2))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) 1) (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (sqrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))))) (sqrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (.f32 (cbrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))) (cbrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))) (cbrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1)
(pow.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)
(pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 3)
(pow.f32 (pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 3) 1/3)
(neg.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (neg.f32 (+.f32 (log.f32 u1) (*.f32 u1 1/2)))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (neg.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2)))))))
(sqrt.f32 (pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 2))
(log.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 u1 -1/2 (log.f32 u1)))))
(cbrt.f32 (pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 3))
(expm1.f32 (log1p.f32 (fma.f32 u1 -1/2 (log.f32 u1))))
(exp.f32 (log.f32 (fma.f32 u1 -1/2 (log.f32 u1))))
(log1p.f32 (expm1.f32 (fma.f32 u1 -1/2 (log.f32 u1))))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 -1/2 u1 (log.f32 u1))
(fma.f32 1 (log.f32 u1) (*.f32 u1 -1/2))
(fma.f32 1 (*.f32 u1 -1/2) (log.f32 u1))
(fma.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (log.f32 u1)) (*.f32 u1 -1/2))
(fma.f32 (sqrt.f32 (.f32 u1 -1/2)) (sqrt.f32 (.f32 u1 -1/2)) (log.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 u1)) 2) (cbrt.f32 (log.f32 u1)) (*.f32 u1 -1/2))
(fma.f32 (cbrt.f32 (.f32 1/4 (.f32 u1 u1))) (cbrt.f32 (*.f32 u1 -1/2)) (log.f32 u1))

Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(+.f32 (.f32 1/32 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(fma.f32 1/32 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(fma.f32 1/32 (fabs.f32 (pow.f32 u1 5/2)) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(+.f32 (.f32 1/32 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (sqrt.f32 u1) (*.f32 -1/384 (sqrt.f32 (pow.f32 u1 7))))))
(fma.f32 1/32 (sqrt.f32 (pow.f32 u1 5)) (+.f32 (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)) (*.f32 -1/384 (sqrt.f32 (pow.f32 u1 7)))))
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(/.f32 (.f32 (+.f32 (pow.f32 (pow.f32 (log.f32 u1) 3) 3) (pow.f32 (.f32 -1/8 (pow.f32 u1 3)) 3)) (/.f32 1 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))))) (+.f32 (pow.f32 (log.f32 u1) 6) (.f32 (.f32 -1/8 (pow.f32 u1 3)) (-.f32 (*.f32 -1/8 (pow.f32 u1 3)) (pow.f32 (log.f32 u1) 3)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (pow.f32 (log.f32 u1) 3) 3) (.f32 -1/512 (pow.f32 (pow.f32 u1 3) 3))) (fma.f32 1/4 (.f32 u1 u1) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))) (+.f32 (pow.f32 (log.f32 u1) 6) (.f32 (.f32 (pow.f32 u1 3) -1/8) (-.f32 (*.f32 (pow.f32 u1 3) -1/8) (pow.f32 (log.f32 u1) 3)))))
(/.f32 (fma.f32 -1/512 (pow.f32 (pow.f32 u1 3) 3) (pow.f32 (pow.f32 (log.f32 u1) 3) 3)) (.f32 (fma.f32 (log.f32 u1) (fma.f32 u1 1/2 (log.f32 u1)) (.f32 u1 (.f32 u1 1/4))) (fma.f32 (.f32 (pow.f32 u1 3) -1/8) (-.f32 (*.f32 (pow.f32 u1 3) -1/8) (pow.f32 (log.f32 u1) 3)) (pow.f32 (log.f32 u1) 6))))
(/.f32 (/.f32 (fma.f32 -1/512 (pow.f32 (pow.f32 u1 3) 3) (pow.f32 (pow.f32 (log.f32 u1) 3) 3)) (fma.f32 (log.f32 u1) (fma.f32 u1 1/2 (log.f32 u1)) (.f32 u1 (.f32 u1 1/4)))) (fma.f32 (pow.f32 (.f32 u1 -1/2) 3) (-.f32 (pow.f32 (.f32 u1 -1/2) 3) (pow.f32 (log.f32 u1) 3)) (pow.f32 (log.f32 u1) 6)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) 1) (+.f32 (log.f32 u1) (*.f32 u1 1/2)))
(-.f32 (/.f32 (pow.f32 (log.f32 u1) 2) (+.f32 (log.f32 u1) (.f32 u1 1/2))) (.f32 (/.f32 1/4 (+.f32 (log.f32 u1) (.f32 u1 1/2))) (.f32 u1 u1)))
(-.f32 (/.f32 (pow.f32 (log.f32 u1) 2) (fma.f32 u1 1/2 (log.f32 u1))) (/.f32 (.f32 u1 (.f32 u1 1/4)) (fma.f32 u1 1/2 (log.f32 u1))))
(/.f32 (fma.f32 u1 (*.f32 u1 -1/4) (pow.f32 (log.f32 u1) 2)) (fma.f32 u1 1/2 (log.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (sqrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2)))) (sqrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(-.f32 (/.f32 (pow.f32 (log.f32 u1) 2) (+.f32 (log.f32 u1) (.f32 u1 1/2))) (.f32 (/.f32 1/4 (+.f32 (log.f32 u1) (.f32 u1 1/2))) (.f32 u1 u1)))
(-.f32 (/.f32 (pow.f32 (log.f32 u1) 2) (fma.f32 u1 1/2 (log.f32 u1))) (/.f32 (.f32 u1 (.f32 u1 1/4)) (fma.f32 u1 1/2 (log.f32 u1))))
(/.f32 (fma.f32 u1 (*.f32 u1 -1/4) (pow.f32 (log.f32 u1) 2)) (fma.f32 u1 1/2 (log.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (.f32 (cbrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))) (cbrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))) (cbrt.f32 (+.f32 (log.f32 u1) (.f32 u1 1/2))))
(-.f32 (/.f32 (pow.f32 (log.f32 u1) 2) (+.f32 (log.f32 u1) (.f32 u1 1/2))) (.f32 (/.f32 1/4 (+.f32 (log.f32 u1) (.f32 u1 1/2))) (.f32 u1 u1)))
(-.f32 (/.f32 (pow.f32 (log.f32 u1) 2) (fma.f32 u1 1/2 (log.f32 u1))) (/.f32 (.f32 u1 (.f32 u1 1/4)) (fma.f32 u1 1/2 (log.f32 u1))))
(/.f32 (fma.f32 u1 (*.f32 u1 -1/4) (pow.f32 (log.f32 u1) 2)) (fma.f32 u1 1/2 (log.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (+.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (.f32 u1 -1/2)))) (-.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (.f32 u1 -1/2))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 u1 (.f32 u1 -1/4))) (+.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (.f32 u1 -1/2)))) (-.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (.f32 u1 -1/2))))
(/.f32 (fma.f32 u1 (.f32 u1 -1/4) (pow.f32 (log.f32 u1) 2)) (.f32 (+.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (.f32 u1 -1/2))) (-.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (.f32 u1 -1/2)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) 1) (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2)))))
(.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 (pow.f32 u1 3) -1/8)) (/.f32 1 (fma.f32 1/4 (.f32 u1 u1) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2))))))
(/.f32 (fma.f32 (pow.f32 u1 3) -1/8 (pow.f32 (log.f32 u1) 3)) (fma.f32 (log.f32 u1) (fma.f32 u1 1/2 (log.f32 u1)) (.f32 u1 (.f32 u1 1/4))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (sqrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2)))))) (sqrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2))))))
(.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 (pow.f32 u1 3) -1/8)) (/.f32 1 (fma.f32 1/4 (.f32 u1 u1) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2))))))
(/.f32 (fma.f32 (pow.f32 u1 3) -1/8 (pow.f32 (log.f32 u1) 3)) (fma.f32 (log.f32 u1) (fma.f32 u1 1/2 (log.f32 u1)) (.f32 u1 (.f32 u1 1/4))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (.f32 (cbrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))) (cbrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))) (cbrt.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 (pow.f32 u1 3) -1/8)) (/.f32 1 (fma.f32 1/4 (.f32 u1 u1) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2))))))
(/.f32 (fma.f32 (pow.f32 u1 3) -1/8 (pow.f32 (log.f32 u1) 3)) (fma.f32 (log.f32 u1) (fma.f32 u1 1/2 (log.f32 u1)) (.f32 u1 (.f32 u1 1/4))))
(pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 1)
(fma.f32 u1 -1/2 (log.f32 u1))
(pow.f32 (sqrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 2)
(fma.f32 u1 -1/2 (log.f32 u1))
(pow.f32 (cbrt.f32 (fma.f32 u1 -1/2 (log.f32 u1))) 3)
(fma.f32 u1 -1/2 (log.f32 u1))
(pow.f32 (pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 3) 1/3)
(fma.f32 u1 -1/2 (log.f32 u1))
(neg.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 2) (.f32 (.f32 u1 u1) -1/4)) (neg.f32 (+.f32 (log.f32 u1) (*.f32 u1 1/2)))))
(/.f32 (-.f32 (.f32 1/4 (.f32 u1 u1)) (pow.f32 (log.f32 u1) 2)) (-.f32 (*.f32 u1 -1/2) (log.f32 u1)))
(.f32 1 (/.f32 (fma.f32 u1 (.f32 u1 -1/4) (pow.f32 (log.f32 u1) 2)) (fma.f32 u1 1/2 (log.f32 u1))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 -1/8 (pow.f32 u1 3))) (neg.f32 (+.f32 (.f32 1/4 (.f32 u1 u1)) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (*.f32 u1 1/2)))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 u1) 3) (.f32 (pow.f32 u1 3) -1/8))) (neg.f32 (fma.f32 1/4 (.f32 u1 u1) (.f32 (log.f32 u1) (+.f32 (log.f32 u1) (.f32 u1 1/2))))))
(.f32 1 (/.f32 (fma.f32 (pow.f32 u1 3) -1/8 (pow.f32 (log.f32 u1) 3)) (fma.f32 (log.f32 u1) (fma.f32 u1 1/2 (log.f32 u1)) (.f32 u1 (*.f32 u1 1/4)))))
(sqrt.f32 (pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 2))
(fabs.f32 (fma.f32 u1 -1/2 (log.f32 u1)))
(log.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 u1 -1/2 (log.f32 u1)))))
(fma.f32 u1 -1/2 (log.f32 u1))
(cbrt.f32 (pow.f32 (fma.f32 u1 -1/2 (log.f32 u1)) 3))
(fma.f32 u1 -1/2 (log.f32 u1))
(expm1.f32 (log1p.f32 (fma.f32 u1 -1/2 (log.f32 u1))))
(fma.f32 u1 -1/2 (log.f32 u1))
(exp.f32 (log.f32 (fma.f32 u1 -1/2 (log.f32 u1))))
(fma.f32 u1 -1/2 (log.f32 u1))
(log1p.f32 (expm1.f32 (fma.f32 u1 -1/2 (log.f32 u1))))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 -1/2 u1 (log.f32 u1))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 1 (log.f32 u1) (*.f32 u1 -1/2))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 1 (*.f32 u1 -1/2) (log.f32 u1))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 (sqrt.f32 (log.f32 u1)) (sqrt.f32 (log.f32 u1)) (*.f32 u1 -1/2))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 (sqrt.f32 (.f32 u1 -1/2)) (sqrt.f32 (.f32 u1 -1/2)) (log.f32 u1))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 u1)) 2) (cbrt.f32 (log.f32 u1)) (*.f32 u1 -1/2))
(fma.f32 u1 -1/2 (log.f32 u1))
(fma.f32 (cbrt.f32 (.f32 1/4 (.f32 u1 u1))) (cbrt.f32 (*.f32 u1 -1/2)) (log.f32 u1))
(fma.f32 (cbrt.f32 (.f32 u1 (.f32 u1 1/4))) (cbrt.f32 (*.f32 u1 -1/2)) (log.f32 u1))

localize81.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	99.2%	(*.f32 u1 -1/3)
✓	99.0%	(.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))
	98.9%	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 99 to 62 computations (37.4% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`associate-*r/`
462×	`add-sqr-sqrt`
442×	`pow1`
442×	`*-un-lft-identity`
428×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	95
1	451	83
2	5903	83

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 (*.f32 u1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) 1) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1) (*.f32 (*.f32 (*.f32 u1 u1) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 u1) (/.f32 (+.f32 -1/2 (*.f32 1/3 u1)) (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 u1) (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))) (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3)))) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))) (*.f32 u1 u1)) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 (*.f32 u1 u1) -1/2)) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3)))) (-.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u1 u1) -1/2) 3) (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3)) (+.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 (*.f32 u1 u1) -1/2)) (-.f32 (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3))) (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (*.f32 u1 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))))) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 u1) 1/9) 1/4)) (-.f32 (*.f32 u1 -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (neg.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)))) (neg.f32 (+.f32 -1/2 (*.f32 1/3 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (neg.f32 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))))) (neg.f32 (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (*.f32 u1 u1) (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (*.f32 u1 u1) (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))))) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))) (*.f32 u1 u1))) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 (*.f32 u1 u1) -1/2)) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3))))) (-.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 (pow.f32 (*.f32 (*.f32 u1 u1) -1/2) 3) (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3))) (+.f32 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u1 -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u1 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/27 (pow.f32 u1 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u1 u1) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -1/3) u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 -1/27 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u1 -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u1 -1/3)))))))

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

988×	`unswap-sqr`
924×	`associate-/l*`
870×	`distribute-lft-in`
848×	`distribute-rgt-in`
616×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4612
1	701	4186
2	2752	4028

Stop Event

1×	node limit

Counts

108 → 138

Calls

Call 1

Inputs
(*.f32 -1/2 (pow.f32 u1 2))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(+.f32 (.f32 (.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 (*.f32 u1 u1) -1/2))
(+.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) 1) (.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1))
(+.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) 1) (.f32 (.f32 (*.f32 u1 u1) -1/2) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)))) 1)
(/.f32 (.f32 u1 u1) (/.f32 (+.f32 -1/2 (.f32 1/3 u1)) (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9))))
(/.f32 (.f32 u1 u1) (/.f32 (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1))) (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3)))))
(/.f32 (.f32 (.f32 u1 u1) (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9))) (+.f32 -1/2 (*.f32 1/3 u1)))
(/.f32 (.f32 (.f32 u1 u1) (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3)))) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1))))
(/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1)))
(/.f32 (.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))) (.f32 u1 u1)) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 (.f32 u1 u1) -1/2)) (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3)))) (-.f32 (.f32 (.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 u1 u1) -1/2) 3) (pow.f32 (.f32 -1/3 (pow.f32 u1 3)) 3)) (+.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 (.f32 u1 u1) -1/2)) (-.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))) (.f32 (.f32 (.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))
(/.f32 (.f32 u1 (.f32 u1 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (+.f32 -1/2 (*.f32 1/3 u1)))
(/.f32 (.f32 u1 (.f32 u1 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1))))
(/.f32 (.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 u1 u1) 1/9) 1/4)) (-.f32 (*.f32 u1 -1/3) -1/2))
(/.f32 (.f32 (.f32 u1 u1) (neg.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (neg.f32 (+.f32 -1/2 (*.f32 1/3 u1))))
(/.f32 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (neg.f32 (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1)))))
(/.f32 (.f32 1 (.f32 (.f32 u1 u1) (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (+.f32 -1/2 (.f32 1/3 u1)))
(/.f32 (.f32 1 (.f32 (.f32 u1 u1) (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))
(/.f32 (.f32 1 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1))) (+.f32 -1/2 (.f32 1/3 u1)))
(/.f32 (.f32 1 (.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))) (.f32 u1 u1))) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))
(/.f32 (.f32 1 (-.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 (.f32 u1 u1) -1/2)) (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))))) (-.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 -1/3 (pow.f32 u1 3))))
(/.f32 (.f32 1 (+.f32 (pow.f32 (.f32 (.f32 u1 u1) -1/2) 3) (pow.f32 (.f32 -1/3 (pow.f32 u1 3)) 3))) (+.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 (.f32 u1 u1) -1/2)) (-.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))) (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 -1/3 (pow.f32 u1 3))))))
(/.f32 (.f32 (.f32 (.f32 u1 u1) (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) (sqrt.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1)))))
(/.f32 (.f32 (.f32 (.f32 u1 u1) (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) (sqrt.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (sqrt.f32 (+.f32 -1/2 (.f32 1/3 u1))))
(/.f32 (.f32 (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2)) (cbrt.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (cbrt.f32 (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1)))))
(/.f32 (.f32 (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2)) (cbrt.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (cbrt.f32 (+.f32 -1/2 (.f32 1/3 u1))))
(pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 1)
(pow.f32 (*.f32 u1 (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))) 3)
(pow.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3) 1/3)
(sqrt.f32 (*.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)))))
(cbrt.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3))
(expm1.f32 (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(exp.f32 (log.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))) 1))
(log1p.f32 (expm1.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(fma.f32 (.f32 u1 u1) -1/2 (.f32 -1/3 (pow.f32 u1 3)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 -1/3))) 1)
(pow.f32 (*.f32 u1 -1/3) 1)
(pow.f32 (sqrt.f32 (*.f32 u1 -1/3)) 2)
(pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 3)
(pow.f32 (*.f32 -1/27 (pow.f32 u1 3)) 1/3)
(sqrt.f32 (.f32 (.f32 u1 u1) 1/9))
(log.f32 (pow.f32 (exp.f32 -1/3) u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 -1/3))))
(cbrt.f32 (*.f32 -1/27 (pow.f32 u1 3)))
(expm1.f32 (log1p.f32 (*.f32 u1 -1/3)))
(exp.f32 (log.f32 (*.f32 u1 -1/3)))
(exp.f32 (.f32 (log.f32 (.f32 u1 -1/3)) 1))
(log1p.f32 (expm1.f32 (*.f32 u1 -1/3)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)) (.f32 u1 (fma.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2) u1)))))
(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2) u1)))
(pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 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 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 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 (-.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Outputs
(*.f32 -1/2 (pow.f32 u1 2))
(.f32 -1/2 (.f32 u1 u1))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(*.f32 -1/3 u1)
(*.f32 u1 -1/3)
(sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))
(sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 -2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(.f32 (+.f32 (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) 1) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))))
(.f32 (+.f32 1 (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (fma.f32 2/3 (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (+.f32 (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) (.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (+.f32 (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) (+.f32 1 (.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (fma.f32 2/3 (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (fma.f32 -2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (+.f32 (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) (.f32 (.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))) (.f32 (+.f32 (.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)) 1) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (+.f32 (+.f32 (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) (.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4))) (.f32 (.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
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(/.f32 (.f32 (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2)) (cbrt.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (cbrt.f32 (+.f32 -1/2 (.f32 1/3 u1))))
(/.f32 (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2))) (/.f32 (cbrt.f32 (+.f32 -1/2 (.f32 u1 1/3))) (cbrt.f32 (-.f32 1/4 (.f32 u1 (*.f32 u1 1/9))))))
(/.f32 u1 (/.f32 (/.f32 (cbrt.f32 (fma.f32 u1 1/3 -1/2)) (cbrt.f32 (-.f32 1/4 (.f32 u1 (.f32 u1 1/9))))) (*.f32 u1 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2))))
(.f32 (/.f32 (.f32 u1 (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2)) (/.f32 (cbrt.f32 (fma.f32 u1 1/3 -1/2)) u1)) (cbrt.f32 (+.f32 1/4 (.f32 u1 (.f32 u1 -1/9)))))
(pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 1)
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(pow.f32 (*.f32 u1 (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))) 3)
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(pow.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3) 1/3)
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(sqrt.f32 (*.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2)))
(.f32 (fma.f32 u1 -1/3 -1/2) (.f32 u1 (log.f32 (exp.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)))))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(cbrt.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(expm1.f32 (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(exp.f32 (log.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))) 1))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(log1p.f32 (expm1.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(fma.f32 (.f32 u1 u1) -1/2 (.f32 -1/3 (pow.f32 u1 3)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 -1/3))) 1)
(*.f32 u1 -1/3)
(pow.f32 (*.f32 u1 -1/3) 1)
(*.f32 u1 -1/3)
(pow.f32 (sqrt.f32 (*.f32 u1 -1/3)) 2)
(*.f32 u1 -1/3)
(pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 3)
(*.f32 u1 -1/3)
(pow.f32 (*.f32 -1/27 (pow.f32 u1 3)) 1/3)
(cbrt.f32 (*.f32 (pow.f32 u1 3) -1/27))
(sqrt.f32 (.f32 (.f32 u1 u1) 1/9))
(sqrt.f32 (.f32 u1 (.f32 u1 1/9)))
(log.f32 (pow.f32 (exp.f32 -1/3) u1))
(*.f32 u1 -1/3)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 -1/3))))
(*.f32 u1 -1/3)
(cbrt.f32 (*.f32 -1/27 (pow.f32 u1 3)))
(cbrt.f32 (*.f32 (pow.f32 u1 3) -1/27))
(expm1.f32 (log1p.f32 (*.f32 u1 -1/3)))
(*.f32 u1 -1/3)
(exp.f32 (log.f32 (*.f32 u1 -1/3)))
(*.f32 u1 -1/3)
(exp.f32 (.f32 (log.f32 (.f32 u1 -1/3)) 1))
(*.f32 u1 -1/3)
(log1p.f32 (expm1.f32 (*.f32 u1 -1/3)))
(*.f32 u1 -1/3)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)) (.f32 u1 (fma.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2) u1)))))
(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (pow.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) 3) (pow.f32 u1 3)))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4) (.f32 u1 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2) u1)))))
(.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) u1) (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4))))) (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 6) (pow.f32 (fma.f32 u1 -1/3 -1/2) 3)) (pow.f32 u1 3))))
(.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) u1) (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4))))) (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 6) (pow.f32 (fma.f32 u1 -1/3 -1/2) 3)) (pow.f32 u1 3))))
(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2) u1)))
(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2) u1)) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4) (neg.f32 (.f32 u1 u1))))))
(.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) u1))) (sqrt.f32 (-.f32 (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)) (.f32 u1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) u1))) (sqrt.f32 (-.f32 (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)) (.f32 u1 u1))))
(pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(sqrt.f32 (.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) (pow.f32 (-.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (-.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2))) u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/3 -1/2)) (neg.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))

localize51.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
✓	99.4%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	98.9%	(*.f32 (PI.f32) u2)
✓	97.8%	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)

Compiler

Compiled 50 to 23 computations (54% saved)

series15.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	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)))

rewrite118.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`unswap-sqr`
936×	`swap-sqr`
576×	`sqr-pow`
432×	`distribute-rgt-in`
386×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	345	53
2	3808	53

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (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))))))))))

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simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-*r/`
1056×	`associate-*l/`
936×	`associate-r`
868×	`associate-l`
812×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	560	11879
1	1693	10345
2	6528	10315

Stop Event

1×	node limit

Counts

133 → 231

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)))))))))
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(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
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(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1/3))
(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))))
(+.f32 (sqrt.f32 u1) (fma.f32 (+.f32 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 5/96)) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (.f32 -1/4 u1))))
(+.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 u1) (fma.f32 (.f32 (sqrt.f32 u1) -1/4) u1 (fma.f32 (fma.f32 -1/12 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)) (fma.f32 -247/10368 (sqrt.f32 u1) (fma.f32 -11/1728 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) -35/648))))) (pow.f32 u1 3) (.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)))))
(+.f32 (fma.f32 u1 (.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1)) (fma.f32 (fma.f32 -1/12 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (+.f32 (.f32 (cbrt.f32 u1) (.f32 -35/648 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) -313/10368))) (pow.f32 u1 3) (.f32 u1 (.f32 u1 (+.f32 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (*.f32 (sqrt.f32 u1) 5/96))))))
(*.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 (.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))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) -1/2))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) u1) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) -1/2)))
(+.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)))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 (pow.f32 (neg.f32 (neg.f32 (log.f32 u1))) 1/6) (/.f32 (fma.f32 2 (.f32 (cbrt.f32 (neg.f32 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1/72 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/12 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))) (.f32 1/36 (cbrt.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5))))) (.f32 u1 u1)) (+.f32 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) -1/2) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (+.f32 (/.f32 1/72 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (*.f32 1/12 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) u1)) (fma.f32 (pow.f32 (log.f32 u1) 1/6) (/.f32 (fma.f32 1/36 (cbrt.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5))) (.f32 (cbrt.f32 (log.f32 u1)) (.f32 (fma.f32 1/12 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1)))) 2))) (.f32 u1 u1)) (fma.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) -1/2 (/.f32 (.f32 (fma.f32 1/12 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) u1)) (fma.f32 (pow.f32 (log.f32 u1) 1/6) (/.f32 (fma.f32 1/36 (cbrt.f32 (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 5))) (.f32 (cbrt.f32 (log.f32 u1)) (.f32 (+.f32 (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 1/12 (neg.f32 (log.f32 u1))) (/.f32 -1/12 (.f32 (log.f32 u1) (log.f32 u1))))) 2))) (.f32 u1 u1)) (fma.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) -1/2 (/.f32 (.f32 (+.f32 (/.f32 1/72 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 1/12 (neg.f32 (log.f32 u1))) (/.f32 -1/12 (.f32 (log.f32 u1) (log.f32 u1))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))) (.f32 u1 u1))))))
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(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (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)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6))) 1)
(pow.f32 (log1p.f32 u1) 1/6)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(pow.f32 (log1p.f32 u1) 1/6)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/6))
(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))
(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)) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/6)))
(*.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 (pow.f32 (log1p.f32 u1) 1/6)) 3/2) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) 3/2))
(pow.f32 (log1p.f32 u1) 1/6)
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/6)) (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 (.f32 (pow.f32 1 1/6) (pow.f32 1 1/6)) (pow.f32 (log1p.f32 u1) 1/6))
(pow.f32 (log1p.f32 u1) 1/6)
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(pow.f32 (log1p.f32 u1) 1/6)
(.f32 (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))) (*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)))))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))) (sqrt.f32 (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 (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))
(.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))))
(pow.f32 (log1p.f32 u1) 1/6)
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))) (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))
(.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/12) (pow.f32 (log1p.f32 u1) 1/12))
(pow.f32 (log1p.f32 u1) 1/6)
(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)
(log.f32 (+.f32 1 (expm1.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)
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)) 1))
(pow.f32 (log1p.f32 u1) 1/6)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1/3))
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(pow.f32 (log1p.f32 u1) 1/6)

eval754.0ms (5.8%)

Compiler: Compiled 27999 to 18810 computations (32.8% saved)

prune289.0ms (2.2%)

Pruning

60 alts after pruning (49 fresh and 11 done)

	Pruned	Kept	Total
New	744	14	758
Fresh	4	35	39
Picked	1	0	1
Done	3	11	14
Total	752	60	812

Accurracy

100.0%

Counts

812 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.4%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
	73.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	60.6%	(pow.f32 (E.f32) (fma.f32 1/2 (log.f32 u1) (*.f32 u1 -1/4)))
✓	-0.0%	(/.f32 -1 0)
	52.9%	(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
	61.6%	(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
	54.3%	(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
	60.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	74.3%	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	67.6%	(.f32 (+.f32 (.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2) 1) (sqrt.f32 (log1p.f32 u1)))
	73.7%	(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 4)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	91.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (fma.f32 u1 -1/3 -1/2) (.f32 u1 (log.f32 (exp.f32 u1)))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	73.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2)))) 1)))
✓	91.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	91.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 2 u2)))))))
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))))
	72.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	86.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (sqrt.f32 (.f32 (.f32 u1 u1) 1/9)))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	70.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	54.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2) 1/2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)) 1/2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) 1/2)))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1/2 (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
✓	77.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.4%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	76.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	5.8%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	71.1%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) u1))
	61.6%	(sqrt.f32 (*.f32 u1 (pow.f32 (exp.f32 -1/2) u1)))
	61.6%	(sqrt.f32 (log1p.f32 u1))
	35.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	63.0%	(sqrt.f32 u1)
	60.7%	(exp.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (*.f32 -1/2 u1)) 1/2))
✓	60.7%	(exp.f32 (.f32 (+.f32 (log.f32 u1) (.f32 u1 -1/2)) 1/2))
	18.9%	(exp.f32 (.f32 (.f32 u1 -1/2) 1/2))
	36.5%	(exp.f32 (*.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2))
	60.7%	(exp.f32 (.f32 (log.f32 (fma.f32 -1/2 (.f32 u1 u1) u1)) 1/2))
	35.1%	(exp.f32 (*.f32 (log.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1)) 1/2))
✓	60.7%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
	35.1%	(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 u1 1))) 1/2))
	62.0%	(exp.f32 (*.f32 (log.f32 u1) 1/2))
	61.6%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
✓	74.4%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))
	72.6%	(cbrt.f32 (.f32 (exp.f32 (.f32 3/2 (log.f32 (log1p.f32 u1)))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))

Compiler

Compiled 990 to 819 computations (17.3% saved)

regimes358.0ms (2.8%)

Counts

73 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

62.0ms	(-.f32 1 u1)
49.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
38.0ms	(.f32 (.f32 2 (PI.f32)) u2)
35.0ms	u1
31.0ms	u2

Results

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

Compiler

Compiled 1074 to 622 computations (42.1% saved)

regimes289.0ms (2.2%)

Counts

70 → 1

Calls

Call 1

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

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

Calls

10 calls:

33.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
30.0ms	(.f32 (.f32 2 (PI.f32)) u2)
30.0ms	u2
29.0ms	(log.f32 (-.f32 1 u1))
29.0ms	u1

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
99.0%	1	`(log.f32 (-.f32 1 u1))`
99.0%	1	`(-.f32 1 u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 978 to 582 computations (40.5% saved)

regimes130.0ms (1%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

5 calls:

29.0ms	u1
28.0ms	(.f32 (.f32 2 (PI.f32)) u2)
28.0ms	u2
21.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
15.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
91.7%	1	`cosTheta_i`
96.2%	2	`u1`
96.0%	2	`u2`
96.0%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
96.0%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 327 to 229 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.03340234234929085	0.03779830411076546

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes189.0ms (1.5%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

5 calls:

63.0ms	u1
52.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
27.0ms	u2
26.0ms	(.f32 (.f32 2 (PI.f32)) u2)
15.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
87.9%	1	`cosTheta_i`
93.9%	2	`u1`
94.3%	2	`u2`
94.3%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
94.3%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 277 to 198 computations (28.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999988675117493	0.9999990463256836

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes192.0ms (1.5%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

5 calls:

101.0ms	u2
25.0ms	(.f32 (.f32 2 (PI.f32)) u2)
25.0ms	u1
21.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
13.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
77.7%	1	`cosTheta_i`
86.7%	2	`u1`
90.0%	2	`u2`
90.0%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
90.0%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 261 to 187 computations (28.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005989361554384232	0.0060965740121901035

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes40.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	u1
12.0ms	u2
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
77.7%	1	`cosTheta_i`
77.7%	1	`u1`
77.7%	1	`u2`

Compiler

Compiled 195 to 141 computations (27.7% saved)

regimes23.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f32 -1 0)
(sqrt.f32 u1)
(exp.f32 (.f32 (.f32 u1 -1/2) 1/2))
(*.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))
(exp.f32 (*.f32 (log.f32 u1) 1/2))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)

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

Calls

3 calls:

7.0ms	u1
7.0ms	cosTheta_i
6.0ms	u2

Results

Accuracy	Segments	Branch
73.6%	1	`cosTheta_i`
73.6%	1	`u1`
73.6%	1	`u2`

Compiler

Compiled 96 to 70 computations (27.1% saved)

regimes46.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f32 -1 0)
(sqrt.f32 u1)
(exp.f32 (.f32 (.f32 u1 -1/2) 1/2))
(*.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:

35.0ms	cosTheta_i
5.0ms	u2
4.0ms	u1

Results

Accuracy	Segments	Branch
72.5%	1	`cosTheta_i`
72.5%	1	`u1`
72.5%	1	`u2`

Compiler

Compiled 58 to 44 computations (24.1% saved)

regimes15.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f32 -1 0)
(sqrt.f32 u1)
(exp.f32 (.f32 (.f32 u1 -1/2) 1/2))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)

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

Calls

3 calls:

5.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
70.2%	1	`cosTheta_i`
70.2%	1	`u1`
70.2%	1	`u2`

Compiler

Compiled 43 to 34 computations (20.9% saved)

regimes14.0ms (0.1%)

Accuracy

Total -20.2b remaining (-170.3%)

Threshold costs -20.2b (-170.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f32 -1 0)
(sqrt.f32 u1)
(exp.f32 (.f32 (.f32 u1 -1/2) 1/2))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)

Outputs
(sqrt.f32 u1)

Calls

3 calls:

5.0ms	u2
4.0ms	u1
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
63.0%	1	`cosTheta_i`
63.0%	1	`u1`
63.0%	1	`u2`

Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

190×	`distribute-lft-neg-in`
138×	`*-commutative`
108×	`distribute-rgt-neg-in`
84×	`+-commutative`
76×	`distribute-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	533
1	136	533
2	168	529
3	232	513
4	292	513
5	369	513
6	458	513
7	539	513
8	556	513
9	558	513

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 9395241/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16777199/16777216) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.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)
(sqrt.f32 u1)
(/.f32 -1 0)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 (pow.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (+.f32 (pow.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (-.f32 1/2 (pow.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 9395241/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 u1 9395241/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 u1 9395241/268435456) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 u1 9395241/268435456) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 1/3))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16777199/16777216) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 16777199/16777216) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 16777199/16777216) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 -1/2))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/1073741824) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4))))) u1)))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4))))))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (-.f32 1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 (+.f32 (.f32 u1 1/4) 1/3))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) -1/2) u1)))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(sqrt.f32 u1)
(/.f32 -1 0)

Compiler

Compiled 198 to 158 computations (20.2% saved)

soundness133.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1448×	`associate-*r/`
1048×	`associate-r`
970×	`associate-l`
708×	`+-commutative`
612×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41
0	452	9303
1	1186	8139
2	5821	8055

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 174 to 95 computations (45.4% saved)

end133.0ms (1%)

Compiler: Compiled 168 to 99 computations (41.1% 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	85	533
1	136	533
2	168	529
3	232	513
4	292	513
5	369	513
6	458	513
7	539	513
8	556	513
9	558	513

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	85	533
1	136	533
2	168	529
3	232	513
4	292	513
5	369	513
6	458	513
7	539	513
8	556	513
9	558	513

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	85	533
1	136	533
2	168	529
3	232	513
4	292	513
5	369	513
6	458	513
7	539	513
8	556	513
9	558	513