Details

analyze178.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.6s (19.3%)

Results

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

Bogosity

preprocess40.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify26.0ms (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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.3b	(.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)

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	13.9b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series97.0ms (0.7%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
58.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
21.0ms	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)))

rewrite121.0ms (0.9%)

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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simplify140.0ms (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)))

localize142.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.4b	(*.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	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
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))))

rewrite131.0ms (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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(cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))

simplify120.0ms (0.9%)

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))

eval469.0ms (3.4%)

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

prune208.0ms (1.5%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	527	31	558
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	527	33	560

Error

0.0b

Counts

560 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	10.2b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)
	8.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	8.6b	(+.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))))
	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.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)))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (+.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)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
	3.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	6.5b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
▶	8.6b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))

Compiler

Compiled 1249 to 1003 computations (19.7% saved)

localize102.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.3b	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 78 to 26 computations (66.7% saved)

series38.0ms (0.3%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite133.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	115
1	390	95
2	4965	47

Stop Event

1×	node limit

Counts

3 → 265

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (-.f32 0 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 -1 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 u1 u1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) 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(#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (-.f32 0 (log1p.f32 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (log1p.f32 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 2))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 0 (log1p.f32 (*.f32 u1 u1))) 0) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) 0) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (-.f32 0 (log1p.f32 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 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(2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.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 (log1p.f32 u1) 3) (/.f32 1 (pow.f32 (log1p.f32 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 1 (log1p.f32 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simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-/r*`
1372×	`associate-r`
1286×	`associate-/l*`
1228×	`associate-l`
552×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	686	12239
1	1794	11689

Stop Event

1×	node limit

Counts

305 → 459

Calls

Call 1

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

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

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))

rewrite53.0ms (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)))))))

simplify56.0ms (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)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
✓	0.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.3b	(pow.f32 (log1p.f32 u1) 3/2)
	0.4b	(*.f32 (PI.f32) u2)

Compiler

Compiled 45 to 25 computations (44.4% saved)

series10.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

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

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

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

simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

123 → 209

Calls

Call 1

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

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

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
✓	0.2b	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
	0.4b	(*.f32 (PI.f32) u2)

Compiler

Compiled 62 to 21 computations (66.1% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

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simplify174.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

136 → 215

Calls

Call 1

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

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

localize347.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
✓	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	0.7b	(expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
✓	0.7b	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))

Compiler

Compiled 77 to 22 computations (71.4% saved)

series78.0ms (0.6%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
57.0ms	u2	@	inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
12.0ms	u2	@	-inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
1.0ms	u2	@	0	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`associate-*r/`
842×	`associate-*l/`
824×	`distribute-lft-in`
370×	`add-sqr-sqrt`
360×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	98
1	384	90
2	4748	34

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

Inputs
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))

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

simplify116.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-+r+`
1030×	`associate-+l+`
962×	`unswap-sqr`
658×	`associate-/l*`
620×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	5226
1	955	4512
2	3358	4190

Stop Event

1×	node limit

Counts

148 → 208

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/720 (.f32 (+.f32 (.f32 720 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 1440 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -1920 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(-.f32 (exp.f32 1) 1)
(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (exp.f32 1)) 1)
(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1))) (exp.f32 1))) 1)
(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1))) (+.f32 (.f32 (pow.f32 u2 6) (.f32 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (*.f32 -4/45 (pow.f32 (PI.f32) 6))) (exp.f32 1))) (exp.f32 1)))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(.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)))))))
(+.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 1/24 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (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 1/720 (.f32 (.f32 (+.f32 (.f32 720 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 1440 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -1920 (pow.f32 (PI.f32) 6)))) (.f32 (sqrt.f32 -1) (pow.f32 u2 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 1/24 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (cos.f32 0) 0)
(+.f32 0 (cos.f32 0))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 0)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0)))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0)))))
(+.f32 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 0)))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2)))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 0)))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0)))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2))) (.f32 1 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 0))))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0))))) (.f32 1 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0))))))
(-.f32 (log.f32 (+.f32 1 (pow.f32 (expm1.f32 (cos.f32 0)) 3))) (log.f32 (+.f32 1 (*.f32 (expm1.f32 (cos.f32 0)) (+.f32 (expm1.f32 (cos.f32 0)) -1)))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (cos.f32 0)) 2))) (log.f32 (-.f32 1 (expm1.f32 (cos.f32 0)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 0))) 1)
(-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))
(-.f32 (+.f32 0 (log.f32 (+.f32 1 (pow.f32 (expm1.f32 (cos.f32 0)) 3)))) (log.f32 (+.f32 1 (*.f32 (expm1.f32 (cos.f32 0)) (+.f32 (expm1.f32 (cos.f32 0)) -1)))))
(-.f32 (+.f32 0 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (cos.f32 0)) 2)))) (log.f32 (-.f32 1 (expm1.f32 (cos.f32 0)))))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (cos.f32 0)))) 1)
(-.f32 (+.f32 0 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))
(*.f32 1 (cos.f32 0))
(*.f32 (cos.f32 0) 1)
(*.f32 (sqrt.f32 (cos.f32 0)) (sqrt.f32 (cos.f32 0)))
(*.f32 (cbrt.f32 (cos.f32 0)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (cbrt.f32 (cos.f32 0)))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0)))))
(pow.f32 (cos.f32 0) 1)
(pow.f32 (sqrt.f32 (cos.f32 0)) 2)
(pow.f32 (cbrt.f32 (cos.f32 0)) 3)
(pow.f32 (pow.f32 (cos.f32 0) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 0) 2))
(cbrt.f32 (pow.f32 (cos.f32 0) 3))
(cos.f32 0)
(expm1.f32 (log1p.f32 (cos.f32 0)))
(exp.f32 (log.f32 (cos.f32 0)))
(exp.f32 (*.f32 (log.f32 (cos.f32 0)) 1))
(log1p.f32 (expm1.f32 (cos.f32 0)))
(+.f32 1 (+.f32 (expm1.f32 (cos.f32 0)) -1))
(+.f32 1 (+.f32 (+.f32 (expm1.f32 (cos.f32 0)) -1) 0))
(+.f32 1 (*.f32 1 (+.f32 (expm1.f32 (cos.f32 0)) -1)))
(+.f32 (expm1.f32 (cos.f32 0)) 0)
(+.f32 (exp.f32 (cos.f32 0)) -1)
(+.f32 0 (expm1.f32 (cos.f32 0)))
(+.f32 -1 (exp.f32 (cos.f32 0)))
(+.f32 (+.f32 (expm1.f32 (cos.f32 0)) -1) 1)
(-.f32 (exp.f32 (cos.f32 0)) 1)
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (cos.f32 0)))) 2)
(-.f32 (+.f32 1 (exp.f32 (cos.f32 0))) 2)
(-.f32 (/.f32 1 (-.f32 1 (expm1.f32 (cos.f32 0)))) (-.f32 (/.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 2) (-.f32 1 (expm1.f32 (cos.f32 0)))) -1))
(-.f32 (/.f32 1 (-.f32 1 (expm1.f32 (cos.f32 0)))) (+.f32 (/.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 2) (-.f32 1 (expm1.f32 (cos.f32 0)))) 1))
(*.f32 1 (expm1.f32 (cos.f32 0)))
(*.f32 (expm1.f32 (cos.f32 0)) 1)
(*.f32 (sqrt.f32 (expm1.f32 (cos.f32 0))) (sqrt.f32 (expm1.f32 (cos.f32 0))))
(*.f32 (cbrt.f32 (expm1.f32 (cos.f32 0))) (pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 0))) 2))
(*.f32 (pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 0))) 2) (cbrt.f32 (expm1.f32 (cos.f32 0))))
(*.f32 (+.f32 1 (sqrt.f32 (exp.f32 (cos.f32 0)))) (-.f32 (sqrt.f32 (exp.f32 (cos.f32 0))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) 1) (+.f32 1 (exp.f32 (cos.f32 0))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1) (+.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) (+.f32 1 (exp.f32 (cos.f32 0)))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) 1)) (+.f32 1 (exp.f32 (cos.f32 0))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1)) (+.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) (+.f32 1 (exp.f32 (cos.f32 0)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) 1) 1) (+.f32 1 (exp.f32 (cos.f32 0))))
(/.f32 (*.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1) 1) (+.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) (+.f32 1 (exp.f32 (cos.f32 0)))))
(pow.f32 (expm1.f32 (cos.f32 0)) 1)
(pow.f32 (sqrt.f32 (expm1.f32 (cos.f32 0))) 2)
(pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 0))) 3)
(pow.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 3) 1/3)
(sqrt.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 2))
(log.f32 (exp.f32 (expm1.f32 (cos.f32 0))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 0)))))
(cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 3))
(exp.f32 (log.f32 (expm1.f32 (cos.f32 0))))
(exp.f32 (*.f32 (log.f32 (expm1.f32 (cos.f32 0))) 1))
(log1p.f32 (expm1.f32 (expm1.f32 (cos.f32 0))))
(fma.f32 1 (exp.f32 (cos.f32 0)) -1)
(fma.f32 (sqrt.f32 (exp.f32 (cos.f32 0))) (sqrt.f32 (exp.f32 (cos.f32 0))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2) (cbrt.f32 (exp.f32 (cos.f32 0))) -1)
0
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 0) (.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2))) (.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 0))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0))))) (.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))

Outputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -48 (pow.f32 (PI.f32) 4) (.f32 24 (.f32 (pow.f32 (PI.f32) 4) 8/3)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -48 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 64))) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 16)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/720 (.f32 (+.f32 (.f32 720 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 1440 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -1920 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))))))
(fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -48 (pow.f32 (PI.f32) 4) (.f32 24 (.f32 (pow.f32 (PI.f32) 4) 8/3)))) (+.f32 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 1/720 (.f32 (fma.f32 720 (.f32 (pow.f32 (PI.f32) 6) -124/45) (fma.f32 1440 (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (*.f32 (pow.f32 (PI.f32) 6) -1920))) (pow.f32 u2 6))))))
(+.f32 (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -48 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 64))) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)) (.f32 1/720 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 6) -1984) (fma.f32 1440 (.f32 (pow.f32 (PI.f32) 4) (.f32 8/3 (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 (PI.f32) 6) -1920))) (pow.f32 u2 6))))
(+.f32 (fma.f32 1/720 (.f32 (+.f32 (.f32 1440 (.f32 (pow.f32 (PI.f32) 6) 8/3)) (.f32 (pow.f32 (PI.f32) 6) -3904)) (pow.f32 u2 6)) (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16)) 1))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(-.f32 (exp.f32 1) 1)
(expm1.f32 1)
(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (exp.f32 1)) 1)
(+.f32 (.f32 (.f32 -2 (.f32 u2 u2)) (.f32 (pow.f32 (PI.f32) 2) (E.f32))) (expm1.f32 1))
(fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (E.f32) (*.f32 u2 u2))) (expm1.f32 1))
(fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (E.f32))) (expm1.f32 1))
(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1))) (exp.f32 1))) 1)
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(+.f32 (fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (E.f32) (.f32 u2 u2))) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (*.f32 8/3 (E.f32))) (E.f32))) -1)
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(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1))) (+.f32 (.f32 (pow.f32 u2 6) (.f32 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (*.f32 -4/45 (pow.f32 (PI.f32) 6))) (exp.f32 1))) (exp.f32 1)))) 1)
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(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
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(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
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1
(-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))
(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(-.f32 (+.f32 0 (log.f32 (+.f32 1 (pow.f32 (expm1.f32 (cos.f32 0)) 3)))) (log.f32 (+.f32 1 (*.f32 (expm1.f32 (cos.f32 0)) (+.f32 (expm1.f32 (cos.f32 0)) -1)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 1) 3)) (log1p.f32 (*.f32 (expm1.f32 1) (+.f32 -1 (expm1.f32 1)))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 1) 3)) (log1p.f32 (*.f32 (expm1.f32 1) (+.f32 -2 (E.f32)))))
(-.f32 (+.f32 0 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (cos.f32 0)) 2)))) (log.f32 (-.f32 1 (expm1.f32 (cos.f32 0)))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 1) 2))) (log.f32 (-.f32 1 (expm1.f32 1))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 1) 2))) (log.f32 (-.f32 2 (E.f32))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 1) 2))) (log1p.f32 (neg.f32 (expm1.f32 1))))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (cos.f32 0)))) 1)
1
(-.f32 (+.f32 0 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))
(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(*.f32 1 (cos.f32 0))
1
(*.f32 (cos.f32 0) 1)
1
(*.f32 (sqrt.f32 (cos.f32 0)) (sqrt.f32 (cos.f32 0)))
1
(*.f32 (cbrt.f32 (cos.f32 0)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2))
1
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (cbrt.f32 (cos.f32 0)))
1
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0)))))
(*.f32 2 (log.f32 (sqrt.f32 (E.f32))))
(pow.f32 (cos.f32 0) 1)
1
(pow.f32 (sqrt.f32 (cos.f32 0)) 2)
1
(pow.f32 (cbrt.f32 (cos.f32 0)) 3)
1
(pow.f32 (pow.f32 (cos.f32 0) 3) 1/3)
1
(sqrt.f32 (pow.f32 (cos.f32 0) 2))
1
(cbrt.f32 (pow.f32 (cos.f32 0) 3))
1
(cos.f32 0)
1
(expm1.f32 (log1p.f32 (cos.f32 0)))
1
(exp.f32 (log.f32 (cos.f32 0)))
1
(exp.f32 (*.f32 (log.f32 (cos.f32 0)) 1))
1
(log1p.f32 (expm1.f32 (cos.f32 0)))
1
(+.f32 1 (+.f32 (expm1.f32 (cos.f32 0)) -1))
(expm1.f32 1)
(+.f32 1 (+.f32 (+.f32 (expm1.f32 (cos.f32 0)) -1) 0))
(expm1.f32 1)
(+.f32 1 (*.f32 1 (+.f32 (expm1.f32 (cos.f32 0)) -1)))
(expm1.f32 1)
(+.f32 (expm1.f32 (cos.f32 0)) 0)
(expm1.f32 1)
(+.f32 (exp.f32 (cos.f32 0)) -1)
(expm1.f32 1)
(+.f32 0 (expm1.f32 (cos.f32 0)))
(expm1.f32 1)
(+.f32 -1 (exp.f32 (cos.f32 0)))
(expm1.f32 1)
(+.f32 (+.f32 (expm1.f32 (cos.f32 0)) -1) 1)
(expm1.f32 1)
(-.f32 (exp.f32 (cos.f32 0)) 1)
(expm1.f32 1)
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (cos.f32 0)))) 2)
(+.f32 (exp.f32 (log1p.f32 (E.f32))) -2)
(+.f32 -2 (exp.f32 (log1p.f32 (E.f32))))
(-.f32 (+.f32 1 (exp.f32 (cos.f32 0))) 2)
(expm1.f32 1)
(-.f32 (/.f32 1 (-.f32 1 (expm1.f32 (cos.f32 0)))) (-.f32 (/.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 2) (-.f32 1 (expm1.f32 (cos.f32 0)))) -1))
(+.f32 (-.f32 (/.f32 1 (-.f32 1 (expm1.f32 1))) (/.f32 (pow.f32 (expm1.f32 1) 2) (-.f32 1 (expm1.f32 1)))) -1)
(+.f32 -1 (-.f32 (/.f32 1 (-.f32 2 (E.f32))) (/.f32 (pow.f32 (expm1.f32 1) 2) (-.f32 2 (E.f32)))))
(-.f32 (-.f32 (/.f32 1 (-.f32 2 (E.f32))) 1) (/.f32 (pow.f32 (expm1.f32 1) 2) (-.f32 2 (E.f32))))
(-.f32 (/.f32 1 (-.f32 1 (expm1.f32 (cos.f32 0)))) (+.f32 (/.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 2) (-.f32 1 (expm1.f32 (cos.f32 0)))) 1))
(+.f32 (-.f32 (/.f32 1 (-.f32 1 (expm1.f32 1))) (/.f32 (pow.f32 (expm1.f32 1) 2) (-.f32 1 (expm1.f32 1)))) -1)
(+.f32 -1 (-.f32 (/.f32 1 (-.f32 2 (E.f32))) (/.f32 (pow.f32 (expm1.f32 1) 2) (-.f32 2 (E.f32)))))
(-.f32 (-.f32 (/.f32 1 (-.f32 2 (E.f32))) 1) (/.f32 (pow.f32 (expm1.f32 1) 2) (-.f32 2 (E.f32))))
(*.f32 1 (expm1.f32 (cos.f32 0)))
(expm1.f32 1)
(*.f32 (expm1.f32 (cos.f32 0)) 1)
(expm1.f32 1)
(*.f32 (sqrt.f32 (expm1.f32 (cos.f32 0))) (sqrt.f32 (expm1.f32 (cos.f32 0))))
(expm1.f32 1)
(*.f32 (cbrt.f32 (expm1.f32 (cos.f32 0))) (pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 0))) 2))
(expm1.f32 1)
(*.f32 (pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 0))) 2) (cbrt.f32 (expm1.f32 (cos.f32 0))))
(expm1.f32 1)
(*.f32 (+.f32 1 (sqrt.f32 (exp.f32 (cos.f32 0)))) (-.f32 (sqrt.f32 (exp.f32 (cos.f32 0))) 1))
(expm1.f32 1)
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) 1) (+.f32 1 (exp.f32 (cos.f32 0))))
(/.f32 (+.f32 (pow.f32 (E.f32) 2) -1) (+.f32 1 (E.f32)))
(/.f32 (+.f32 -1 (exp.f32 2)) (+.f32 1 (E.f32)))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1) (+.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) (+.f32 1 (exp.f32 (cos.f32 0)))))
(/.f32 (+.f32 (pow.f32 (E.f32) 3) -1) (+.f32 (+.f32 1 (E.f32)) (pow.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (E.f32) 3)) (+.f32 1 (+.f32 (E.f32) (exp.f32 2))))
(/.f32 (fma.f32 (E.f32) (exp.f32 2) -1) (+.f32 1 (+.f32 (E.f32) (exp.f32 2))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) 1)) (+.f32 1 (exp.f32 (cos.f32 0))))
(/.f32 (+.f32 (pow.f32 (E.f32) 2) -1) (+.f32 1 (E.f32)))
(/.f32 (+.f32 -1 (exp.f32 2)) (+.f32 1 (E.f32)))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1)) (+.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) (+.f32 1 (exp.f32 (cos.f32 0)))))
(/.f32 (+.f32 (pow.f32 (E.f32) 3) -1) (+.f32 (+.f32 1 (E.f32)) (pow.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (E.f32) 3)) (+.f32 1 (+.f32 (E.f32) (exp.f32 2))))
(/.f32 (fma.f32 (E.f32) (exp.f32 2) -1) (+.f32 1 (+.f32 (E.f32) (exp.f32 2))))
(/.f32 (*.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) 1) 1) (+.f32 1 (exp.f32 (cos.f32 0))))
(/.f32 (+.f32 (pow.f32 (E.f32) 2) -1) (+.f32 1 (E.f32)))
(/.f32 (+.f32 -1 (exp.f32 2)) (+.f32 1 (E.f32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1) 1) (+.f32 (pow.f32 (exp.f32 (cos.f32 0)) 2) (+.f32 1 (exp.f32 (cos.f32 0)))))
(/.f32 (+.f32 (pow.f32 (E.f32) 3) -1) (+.f32 (+.f32 1 (E.f32)) (pow.f32 (E.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (E.f32) 3)) (+.f32 1 (+.f32 (E.f32) (exp.f32 2))))
(/.f32 (fma.f32 (E.f32) (exp.f32 2) -1) (+.f32 1 (+.f32 (E.f32) (exp.f32 2))))
(pow.f32 (expm1.f32 (cos.f32 0)) 1)
(expm1.f32 1)
(pow.f32 (sqrt.f32 (expm1.f32 (cos.f32 0))) 2)
(expm1.f32 1)
(pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 0))) 3)
(expm1.f32 1)
(pow.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 3) 1/3)
(expm1.f32 1)
(sqrt.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 2))
(sqrt.f32 (pow.f32 (expm1.f32 1) 2))
(fabs.f32 (expm1.f32 1))
(log.f32 (exp.f32 (expm1.f32 (cos.f32 0))))
(expm1.f32 1)
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 0)))))
(expm1.f32 1)
(cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 0)) 3))
(expm1.f32 1)
(exp.f32 (log.f32 (expm1.f32 (cos.f32 0))))
(expm1.f32 1)
(exp.f32 (*.f32 (log.f32 (expm1.f32 (cos.f32 0))) 1))
(expm1.f32 1)
(log1p.f32 (expm1.f32 (expm1.f32 (cos.f32 0))))
(expm1.f32 1)
(fma.f32 1 (exp.f32 (cos.f32 0)) -1)
(expm1.f32 1)
(fma.f32 (sqrt.f32 (exp.f32 (cos.f32 0))) (sqrt.f32 (exp.f32 (cos.f32 0))) -1)
(expm1.f32 1)
(fma.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2) (cbrt.f32 (exp.f32 (cos.f32 0))) -1)
(expm1.f32 1)
0
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 0) (.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2))) (.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 0))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (E.f32)))) (log.f32 (cbrt.f32 (E.f32)))))
(.f32 (.f32 3 (log.f32 (cbrt.f32 (E.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 3 (.f32 (log.f32 (cbrt.f32 (E.f32))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0))))) (.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0))))))
(.f32 2 (.f32 (log.f32 (sqrt.f32 (E.f32))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (log.f32 (sqrt.f32 (E.f32))) (.f32 2 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))) 1)
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 1)
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 2)
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 3)
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 3))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 1))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 0 (*.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))

eval746.0ms (5.4%)

Compiler: Compiled 37694 to 24425 computations (35.2% saved)

prune610.0ms (4.5%)

Pruning

50 alts after pruning (44 fresh and 6 done)

	Pruned	Kept	Total
New	1297	24	1321
Fresh	6	20	26
Picked	0	1	1
Done	1	5	6
Total	1304	50	1354

Error

0.0b

Counts

1354 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	10.6b	(fma.f32 -2 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
	8.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	8.6b	(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
	8.6b	(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
▶	12.4b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	12.2b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
▶	0.3b	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.8b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.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)))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	9.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (+.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)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	11.7b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
▶	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	6.5b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	10.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2)) 1))
	8.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	30.2b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	12.3b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
✓	8.6b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.3b	(.f32 3 (.f32 (log.f32 (cbrt.f32 (E.f32))) (sqrt.f32 (log1p.f32 u1))))
	6.5b	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	16.8b	(sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))
	10.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
	12.1b	(sqrt.f32 (log1p.f32 u1))
	20.7b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	12.1b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 1646 to 1328 computations (19.3% saved)

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
✓	0.2b	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
✓	0.3b	(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
✓	0.4b	(*.f32 u2 (PI.f32))

Compiler

Compiled 67 to 21 computations (68.7% saved)

series3.0ms (0%)

Counts

4 → 40

Calls

15 calls:

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

rewrite217.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`distribute-rgt-in`
708×	`associate-*r/`
706×	`distribute-lft-in`
570×	`associate-*l/`
386×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	116
1	374	104
2	4726	92

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u2 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1) (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (.f32 1 (.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (.f32 (.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (.f32 1 (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (.f32 1 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (.f32 1 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (.f32 (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (+.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) 1 (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (+.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (.f32 u1 u1))) (+.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (log1p.f32 (.f32 u1 u1)))))))) 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simplify132.0ms (1%)

Algorithm

1×	egg-herbie

Rules

984×	`associate-r`
962×	`associate-l`
846×	`fma-def`
616×	`associate-/l*`
554×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	640	16885
1	1758	15091

Stop Event

1×	node limit

Counts

239 → 392

Calls

Call 1

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

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

localize78.0ms (0.6%)

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

localize107.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 u1)
	0.3b	(pow.f32 (log1p.f32 u1) 3/2)
✓	1.4b	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
2.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
1.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
0.0ms	u1	@	inf	(log1p.f32 u1)
0.0ms	u1	@	-inf	(log1p.f32 u1)

rewrite374.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	193	14
2	2094	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

890×	`associate-/l*`
718×	`distribute-lft-in`
700×	`distribute-rgt-in`
610×	`+-commutative`
554×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	4294971274
1	845	3640
2	3091	3346

Stop Event

1×	node limit

Counts

66 → 129

Calls

Call 1

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

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

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
	0.4b	(*.f32 (PI.f32) u2)
✓	13.1b	(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)

Compiler

Compiled 72 to 38 computations (47.2% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`associate-*r/`
1210×	`associate-*l/`
404×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	398	42
2	5138	42

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1238×	`distribute-lft-in`
1206×	`associate-*r/`
914×	`associate-*l/`
790×	`associate-/r/`
524×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	370	6381
1	985	5791
2	3833	5791

Stop Event

1×	node limit

Counts

133 → 186

Calls

Call 1

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

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	0.7b	(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))

Compiler

Compiled 63 to 14 computations (77.8% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`associate-*r/`
576×	`distribute-rgt-in`
530×	`distribute-lft-in`
510×	`associate-*l/`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	338	52
2	4226	24

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(log.f32 (exp.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))))))

Outputs

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

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1440×	`fma-def`
1270×	`associate-/l/`
814×	`*-commutative`
590×	`distribute-lft-out`
522×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	3866
1	628	3246
2	1940	2972
3	5907	2864

Stop Event

1×	node limit

Counts

86 → 139

Calls

Call 1

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

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

eval823.0ms (6%)

Compiler: Compiled 38239 to 24434 computations (36.1% saved)

prune470.0ms (3.4%)

Pruning

54 alts after pruning (45 fresh and 9 done)

	Pruned	Kept	Total
New	1099	9	1108
Fresh	3	36	39
Picked	0	1	1
Done	2	8	10
Total	1104	54	1158

Error

0.0b

Counts

1158 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	10.6b	(fma.f32 -2 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
	8.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 3)
	8.6b	(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
	8.6b	(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
✓	12.4b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	12.2b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	12.0b	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
▶	12.0b	(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
	14.8b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
✓	0.3b	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.8b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.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)))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	9.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (+.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)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	6.5b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	10.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2)) 1))
	8.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
	8.0b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
▶	11.7b	(*.f32 (sqrt.f32 u1) 1)
	30.2b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	12.3b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
✓	8.6b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.3b	(.f32 3 (.f32 (log.f32 (cbrt.f32 (E.f32))) (sqrt.f32 (log1p.f32 u1))))
	6.5b	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	16.8b	(sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))
	10.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
	12.1b	(sqrt.f32 (log1p.f32 u1))
	20.7b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	12.1b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 1689 to 1374 computations (18.7% saved)

localize153.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))
	0.4b	(*.f32 u2 (PI.f32))
✓	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 107 to 38 computations (64.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`associate-*r/`
1388×	`associate-*l/`
382×	`add-sqr-sqrt`
372×	`*-un-lft-identity`
370×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	370	70
2	4934	50

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

300×	`+-commutative`
196×	`*-commutative`
186×	`associate-+r+`
166×	`fma-def`
128×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	3875
1	1481	3875
2	3053	3875

Stop Event

1×

unsound

Counts

165 → 169

Calls

Call 1

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

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

localize14.0ms (0.1%)

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

localize36.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (pow.f32 u1 3))
✓	1.4b	(pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3)

Compiler

Compiled 28 to 23 computations (17.9% saved)

series6.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3)
1.0ms	u1	@	inf	(pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3)
0.0ms	u1	@	-inf	(sqrt.f32 (pow.f32 u1 3))
0.0ms	u1	@	0	(sqrt.f32 (pow.f32 u1 3))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`add-sqr-sqrt`
1428×	`*-un-lft-identity`
1358×	`add-cube-cbrt`
1350×	`add-cbrt-cube`
1334×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	193	12
2	2018	12

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3)
(sqrt.f32 (pow.f32 u1 3))

Outputs

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

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

958×	`associate-/l*`
662×	`associate-/r*`
652×	`*-commutative`
608×	`sqr-pow`
528×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	954
1	219	708
2	512	464
3	1675	442
4	4428	442

Stop Event

1×	node limit

Counts

50 → 63

Calls

Call 1

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

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

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (log1p.f32 u1))
✓	0.2b	(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2)) 1))
✓	0.4b	(.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))
✓	1.0b	(pow.f32 (PI.f32) 2)

Compiler

Compiled 60 to 34 computations (43.3% saved)

series6.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`associate-*r/`
616×	`distribute-rgt-in`
556×	`distribute-lft-in`
500×	`associate-*l/`
366×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	370	76
2	4406	76

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 2)
(.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2)) 1))
(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 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (PI.f32) 4) (/.f32 (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1) (.f32 (pow.f32 u2 4) 4))) (+.f32 (/.f32 1 (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -8 (pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -2) (pow.f32 (.f32 u2 (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 -8 (pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) 1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) 1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) 1) 1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (-.f32 1 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) 1) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 4)) -1) (/.f32 (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (.f32 -8 (pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 3))) (/.f32 (+.f32 1 (.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 4)) -1)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (.f32 -8 (pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 3)))) (+.f32 1 (.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 4)) -1) (sqrt.f32 (log1p.f32 u1))) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (.f32 -8 (pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 3))) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1))))) (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) 3)) (+.f32 (.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1))))) (-.f32 (log1p.f32 u1) (.f32 (.f32 -2 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 4)))) (+.f32 1 (.f32 2 (pow.f32 (.f32 u2 (PI.f32)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (neg.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 4))) 1)) (+.f32 1 (.f32 2 (pow.f32 (.f32 u2 (PI.f32)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 -1 (neg.f32 (.f32 -8 (pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 3))))) (neg.f32 (+.f32 1 (.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 4)) -1))) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (.f32 -8 (pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 3))))) (+.f32 1 (.f32 (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2)) 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simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

910×	`associate-r`
800×	`associate-l`
650×	`associate-/l*`
580×	`+-commutative`
570×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	11289
1	1160	9597
2	5905	9439

Stop Event

1×	node limit

Counts

173 → 230

Calls

Call 1

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

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.7b	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)

Compiler

Compiled 67 to 29 computations (56.7% saved)

series5.0ms (0%)

Counts

2 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
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))))
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))))

rewrite81.0ms (0.6%)

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	50
1	388	42
2	4438	42

Stop Event

1×	node limit

Counts

2 → 68

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))))

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 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (PI.f32))) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) 3) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3/2)) (*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(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 2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (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))))))))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1666×	`unswap-sqr`
612×	`associate-/l*`
580×	`times-frac`
574×	`associate-r`
524×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4966
1	841	4258
2	2994	3968

Stop Event

1×	node limit

Counts

88 → 149

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

eval664.0ms (4.8%)

Compiler: Compiled 22917 to 15507 computations (32.3% saved)

prune314.0ms (2.3%)

Pruning

68 alts after pruning (56 fresh and 12 done)

	Pruned	Kept	Total
New	715	19	734
Fresh	3	37	40
Picked	0	1	1
Done	2	11	13
Total	720	68	788

Error

0.0b

Counts

788 → 68

Alt Table

Click to see full alt table

Status	Error	Program
	8.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 3)
	8.6b	(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
	8.6b	(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	10.6b	(+.f32 (.f32 -2 (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
	12.4b	(*.f32 (pow.f32 (pow.f32 (pow.f32 u1 9/2) 1/3) 1/3) 1)
✓	12.4b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	12.0b	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	23.4b	(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 u1 3/2)) 1) 1/3) 1)
	23.2b	(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 u1 3/2) 1)) 1/3) 1)
	12.0b	(.f32 (pow.f32 (.f32 (sqrt.f32 u1) u1) 1/3) 1)
	12.3b	(*.f32 (pow.f32 (cbrt.f32 (pow.f32 u1 9/2)) 1/3) 1)
	11.7b	(*.f32 (pow.f32 (cbrt.f32 u1) 3/2) 1)
	14.8b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	14.5b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 u1)) 1) 1)
	14.2b	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 u1) 1)) 1)
	12.0b	(.f32 (.f32 (pow.f32 (pow.f32 u1 3/4) 1/3) (pow.f32 (pow.f32 u1 3/4) 1/3)) 1)
	12.0b	(.f32 (.f32 (pow.f32 (*.f32 u1 u1) 1/6) (pow.f32 u1 1/6)) 1)
	11.7b	(.f32 (.f32 (pow.f32 u1 1/4) (pow.f32 u1 1/4)) 1)
	11.8b	(.f32 (.f32 (pow.f32 u1 1/6) (cbrt.f32 u1)) 1)
✓	0.3b	(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.8b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.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)))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	9.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (+.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)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 3)) 2)))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))
	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	6.5b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	10.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1))
	8.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.6b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
	8.0b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
✓	11.7b	(*.f32 (sqrt.f32 u1) 1)
	30.2b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	14.6b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 u1))) 1)
	12.0b	(.f32 (exp.f32 (.f32 (*.f32 3 (log.f32 u1)) 1/6)) 1)
	12.3b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	11.9b	(*.f32 (exp.f32 (log.f32 (sqrt.f32 u1))) 1)
✓	8.6b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.7b	(*.f32 (cbrt.f32 (pow.f32 u1 3/2)) 1)
	6.5b	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	16.8b	(sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))
	10.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
	12.1b	(sqrt.f32 (log1p.f32 u1))
	20.7b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	12.1b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 1091 to 902 computations (17.3% saved)

regimes446.0ms (3.3%)

Counts

85 → 1

Calls

Call 1

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

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

Calls

10 calls:

90.0ms	cosTheta_i
63.0ms	(.f32 (.f32 2 (PI.f32)) u2)
39.0ms	(-.f32 1 u1)
38.0ms	u1
38.0ms	u2

Results

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

Compiler

Compiled 1185 to 680 computations (42.6% saved)

regimes209.0ms (1.5%)

Counts

39 → 2

Calls

Call 1

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

Outputs
(*.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 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

Calls

5 calls:

52.0ms	u2
41.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
32.0ms	(.f32 (.f32 2 (PI.f32)) u2)
31.0ms	u1
16.0ms	cosTheta_i

Results

Error	Segments	Branch
3.0b	1	`cosTheta_i`
1.5b	2	`u1`
1.1b	2	`u2`
1.1b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.1b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 381 to 271 computations (28.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00036353935138322413	0.00043974167783744633

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes192.0ms (1.4%)

Counts

35 → 2

Calls

Call 1

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

Calls

5 calls:

63.0ms	u2
49.0ms	(.f32 (.f32 2 (PI.f32)) u2)
35.0ms	u1
21.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
14.0ms	cosTheta_i

Results

Error	Segments	Branch
4.2b	1	`cosTheta_i`
2.0b	2	`u1`
1.6b	2	`u2`
1.6b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 330 to 243 computations (26.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006063529290258884	0.0006333073251880705

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes188.0ms (1.4%)

Counts

34 → 2

Calls

Call 1

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

Calls

5 calls:

63.0ms	u2
53.0ms	u1
29.0ms	(.f32 (.f32 2 (PI.f32)) u2)
21.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
14.0ms	cosTheta_i

Results

Error	Segments	Branch
6.5b	1	`cosTheta_i`
3.9b	2	`u1`
3.0b	2	`u2`
3.0b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.0b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 314 to 232 computations (26.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0029833586886525154	0.0029906078707426786

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes49.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	u2
13.0ms	u1
13.0ms	cosTheta_i

Results

Error	Segments	Branch
6.5b	1	`cosTheta_i`
6.5b	1	`u1`
6.5b	1	`u2`

Compiler

Compiled 268 to 198 computations (26.1% saved)

regimes65.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	cosTheta_i
8.0ms	u1
7.0ms	u2

Results

Error	Segments	Branch
8.0b	1	`cosTheta_i`
8.0b	1	`u1`
8.0b	1	`u2`

Compiler

Compiled 112 to 82 computations (26.8% saved)

regimes15.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	cosTheta_i
5.0ms	u1
4.0ms	u2

Results

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

Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes14.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Error	Segments	Branch
9.3b	1	`cosTheta_i`
9.3b	1	`u1`
9.3b	1	`u2`

Compiler

Compiled 52 to 40 computations (23.1% saved)

regimes12.0ms (0.1%)

Accuracy

Total -2.9b remaining (-24.8%)

Threshold costs -2.9b (-24.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	u1
4.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
11.7b	1	`cosTheta_i`
11.7b	1	`u1`
11.7b	1	`u2`

Compiler

Compiled 41 to 32 computations (22% saved)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

192×	`distribute-lft-neg-in`
128×	`*-commutative`
108×	`distribute-rgt-neg-in`
74×	`distribute-neg-in`
74×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	443
1	118	443
2	143	439
3	204	423
4	260	423
5	337	423
6	426	423
7	510	423
8	527	423
9	529	423

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 13743895/34359738368) (.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 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10651519/17179869184) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 401311/134217728) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 u1) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 13743895/34359738368) (.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 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 13743895/34359738368) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 13743895/34359738368) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (.f32 u1 -1/3)))))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 13743895/34359738368) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 13743895/34359738368) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (-.f32 1/2 (.f32 u1 -1/3))))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10651519/17179869184) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 10651519/17179869184) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 10651519/17179869184) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (neg.f32 u1) (*.f32 u1 -1/2))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 10651519/17179869184) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 u1 (*.f32 u1 1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 401311/134217728) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 401311/134217728) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4))))) u1)))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (*.f32 u1 -1/3))))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (-.f32 1/2 (*.f32 u1 -1/3)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) -1/2) u1)))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) 1/2)))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)

Compiler

Compiled 164 to 128 computations (22% saved)

soundness30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

end81.0ms (0.6%)

Compiler: Compiled 140 to 80 computations (42.9% 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	71	443
1	118	443
2	143	439
3	204	423
4	260	423
5	337	423
6	426	423
7	510	423
8	527	423
9	529	423

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

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

Iter	Nodes	Cost
0	71	443
1	118	443
2	143	439
3	204	423
4	260	423
5	337	423
6	426	423
7	510	423
8	527	423
9	529	423

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

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

Iter	Nodes	Cost
0	71	443
1	118	443
2	143	439
3	204	423
4	260	423
5	337	423
6	426	423
7	510	423
8	527	423
9	529	423

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