Details

analyze271.0ms (2%)

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)

sample2.8s (21.2%)

Results

2.8s	8256×	body	256	valid
2.0ms	8×	body	256	precondition

Bogosity

preprocess42.0ms (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)

simplify24.0ms (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

0.85%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.86%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	41.39%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.42%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.96%	(.f32 (.f32 2 (PI.f32)) u2)
✓	43.37%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series50.0ms (0.4%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
41.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	339	80
2	4099	80

Stop Event

1×	node limit

Counts

4 → 140

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)))
(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))

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

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-/r/`
800×	`associate-r`
742×	`associate-l`
624×	`+-commutative`
590×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	7214
1	1175	6540
2	5233	6414

Stop Event

1×	node limit

Counts

196 → 265

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

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

localize120.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.23%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.42%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.96%	(*.f32 (PI.f32) u2)

Compiler

Compiled 47 to 19 computations (59.6% saved)

series11.0ms (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))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms	u1	@	0	(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))))

rewrite151.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.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 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (+.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 1 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) 1))))) (#(struct:change 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((#(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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(log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 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u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

simplify145.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-*r/`
1056×	`associate-r`
976×	`associate-l`
708×	`+-commutative`
610×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	9303
1	1186	8139
2	5829	8055

Stop Event

1×	node limit

Counts

189 → 262

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

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

eval449.0ms (3.4%)

Compiler: Compiled 14872 to 9236 computations (37.9% saved)

prune209.0ms (1.6%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	495	32	527
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	496	33	529

Error

0.19%

Counts

529 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	27.35%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	25.8%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.07%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	1.89%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.96%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.28%	(.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)))
	0.97%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	10%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	43.76%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	23.35%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	4.57%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	1.28%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	1.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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))))
	1.28%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
	1.15%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
	0.95%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	1.04%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	2.64%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	1.16%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	0.95%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	0.86%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	1.31%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	0.97%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	18.98%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	49.28%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	25.6%	(.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)))
	25.46%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	26.56%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	27.89%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
	29.21%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	25.5%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))

Compiler

Compiled 1239 to 991 computations (20% saved)

localize156.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.42%	(cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.96%	(*.f32 (PI.f32) u2)
✓	1.36%	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)

Compiler

Compiled 66 to 28 computations (57.6% saved)

series4.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`unswap-sqr`
890×	`swap-sqr`
468×	`distribute-rgt-in`
416×	`distribute-lft-in`
346×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	366	61
2	4150	61

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

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

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

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

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

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

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1856×	`associate-/l*`
1516×	`associate-/r*`
872×	`associate-r`
782×	`associate-l`
672×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	7482
1	1016	6666
2	4394	6582

Stop Event

1×	node limit

Counts

140 → 217

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

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

localize73.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(log1p.f32 (neg.f32 u1))
	0.23%	(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))

rewrite50.0ms (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)))))))

simplify57.0ms (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)

localize90.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.42%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.43%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.96%	(*.f32 (PI.f32) u2)
✓	1.69%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 47 to 27 computations (42.6% saved)

series29.0ms (0.2%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
6.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
5.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
3.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms	u1	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 158

Calls

Call 1

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

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

localize102.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.42%	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.66%	(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
✓	0.96%	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 63 to 14 computations (77.8% saved)

series2.0ms (0%)

Counts

4 → 56

Calls

15 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	94
1	346	86
2	4263	30

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

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

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-/l/`
1278×	`fma-def`
844×	`associate-+r+`
770×	`*-commutative`
742×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	3968
1	701	3486
2	1949	3208
3	5907	3208

Stop Event

1×	node limit

Counts

140 → 131

Calls

Call 1

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

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

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.42%	(cos.f32 (*.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	1.91%	(pow.f32 (exp.f32 u2) (PI.f32))
✓	42.8%	(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))

Compiler

Compiled 61 to 21 computations (65.6% saved)

series74.0ms (0.6%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
38.0ms	u2	@	inf	(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
27.0ms	u2	@	-inf	(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
3.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))

rewrite150.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`unswap-sqr`
928×	`swap-sqr`
560×	`distribute-rgt-in`
520×	`distribute-lft-in`
364×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	82
1	359	74
2	4359	74

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u2 (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) 0) (.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (log.f32 (sqrt.f32 (exp.f32 u2)))) (.f32 (PI.f32) (log.f32 (sqrt.f32 (exp.f32 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) 2))) (.f32 (PI.f32) (log.f32 (cbrt.f32 (exp.f32 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))) (.f32 1 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2))) (.f32 1 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (PI.f32)) (.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (sqrt.f32 (exp.f32 u2))) (PI.f32)) (.f32 (log.f32 (sqrt.f32 (exp.f32 u2))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) 2)) (PI.f32)) (.f32 (log.f32 (cbrt.f32 (exp.f32 u2))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 1) (.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2)) 1) (.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (.f32 u2 (PI.f32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (.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 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 u2 (PI.f32))) (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2) (cbrt.f32 (.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 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 u2) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 u2) (sqrt.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 u2 (PI.f32)))) (cbrt.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 u2 (PI.f32)))) (cbrt.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 u2 (PI.f32)))) (cbrt.f32 (.f32 u2 (PI.f32)))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 u2 (PI.f32)))) (cbrt.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (.f32 u2 (PI.f32))))) (.f32 (cbrt.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (.f32 u2 (PI.f32))))))))) (#(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 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 (exp.f32 (log1p.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (exp.f32 (PI.f32)) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (exp.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 (PI.f32)) (pow.f32 (exp.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (PI.f32)) (pow.f32 (sqrt.f32 (exp.f32 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) 2) (PI.f32)) (pow.f32 (cbrt.f32 (exp.f32 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 1 (.f32 (PI.f32) 1/2)) (pow.f32 1 (.f32 (PI.f32) 1/2))) (pow.f32 (exp.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) 2) (.f32 (PI.f32) 1/2)) (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) 2) (.f32 (PI.f32) 1/2))) (.f32 (pow.f32 (cbrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2)) (pow.f32 (cbrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (exp.f32 u2) (/.f32 (PI.f32) 4)) (sqrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))) (.f32 (pow.f32 (exp.f32 u2) (/.f32 (PI.f32) 4)) (sqrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2)) (sqrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))) (.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2)) (sqrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (pow.f32 (exp.f32 u2) (/.f32 (PI.f32) 4))) (.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (pow.f32 (exp.f32 u2) (/.f32 (PI.f32) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2)) (pow.f32 (exp.f32 u2) (/.f32 (PI.f32) 4))) (.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2)) (pow.f32 (exp.f32 u2) (/.f32 (PI.f32) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2))) (.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (exp.f32 u2) (/.f32 (PI.f32) 4)) (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2))) (.f32 (pow.f32 (exp.f32 u2) (/.f32 (PI.f32) 4)) (pow.f32 (sqrt.f32 (exp.f32 u2)) (.f32 (PI.f32) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (.f32 (cbrt.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 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simplify173.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-+r+`
1132×	`associate-r`
1004×	`associate-l`
898×	`+-commutative`
706×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	9638
1	1393	8084
2	6085	7976

Stop Event

1×	node limit

Counts

210 → 275

Calls

Call 1

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

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

eval718.0ms (5.4%)

Compiler: Compiled 32344 to 19936 computations (38.4% saved)

prune418.0ms (3.1%)

Pruning

43 alts after pruning (38 fresh and 5 done)

	Pruned	Kept	Total
New	1064	19	1083
Fresh	8	19	27
Picked	0	1	1
Done	1	4	5
Total	1073	43	1116

Error

0.18%

Counts

1116 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	25.55%	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	27.35%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	36.57%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	25.78%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	35.69%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	44.5%	(*.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) 1)
	11.07%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	1.89%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.96%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	21.91%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	7.28%	(.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)))
	23.48%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	26.09%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	0.97%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	43.76%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	33.92%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	4.57%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	1.28%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	1.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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))))
	1.28%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
	1.15%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
	1.15%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
▶	1.04%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	2.64%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	20.39%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 0))))
✓	1.16%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.95%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	0.86%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	1.31%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	0.97%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	18.98%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	49.28%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	25.46%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))))
	23.35%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	95.57%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	26.56%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
▶	36.15%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	27.89%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	35.44%	(sqrt.f32 (log1p.f32 u1))
	62.14%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	29.21%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	35.51%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 1331 to 1101 computations (17.3% saved)

localize159.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.96%	(.f32 (.f32 2 (PI.f32)) u2)
✓	1.31%	(pow.f32 (log1p.f32 (neg.f32 u1)) 2)
✓	1.38%	(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))

Compiler

Compiled 79 to 40 computations (49.4% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`associate-/r*`
806×	`associate-/l*`
758×	`associate-*r/`
494×	`associate-*l/`
368×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	105
1	368	49
2	4728	49

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs

(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))

(pow.f32 (log1p.f32 (neg.f32 u1)) 2)

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

Outputs

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

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

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1616×	`associate-r`
1568×	`associate-/l*`
1164×	`associate-/r*`
998×	`associate-l`
588×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	575	9212
1	1525	8954

Stop Event

1×	node limit

Counts

262 → 395

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))))
(pow.f32 u1 2)
(+.f32 (pow.f32 u1 2) (pow.f32 u1 3))
(+.f32 (pow.f32 u1 2) (+.f32 (*.f32 11/12 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 (.f32 5/6 (pow.f32 u1 5)) (+.f32 (pow.f32 u1 2) (+.f32 (.f32 11/12 (pow.f32 u1 4)) (pow.f32 u1 3))))
(pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) 2)
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (+.f32 (.f32 -1 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 -1 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 (.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 3))) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))))))
(pow.f32 (log.f32 (/.f32 -1 u1)) 2)
(+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 -1 (/.f32 (-.f32 (.f32 -2/3 (log.f32 (/.f32 -1 u1))) 1) (pow.f32 u1 3))) (+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (log1p.f32 u1) 0)
(+.f32 0 (log1p.f32 u1))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)
(-.f32 0 (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(*.f32 (log1p.f32 u1) (/.f32 (log1p.f32 u1) (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 1 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (/.f32 1 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 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 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (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 (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)) (/.f32 1 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) (sqrt.f32 (/.f32 1 (log1p.f32 u1))))
(*.f32 -1 (log1p.f32 u1))
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(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.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) 3) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (/.f32 1 (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (/.f32 (cbrt.f32 (log1p.f32 u1)) (log1p.f32 u1))) (*.f32 (log1p.f32 u1) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.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) 3) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) 1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (pow.f32 (log1p.f32 u1) 3/2)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (pow.f32 (log1p.f32 u1) 4)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) -1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (*.f32 (log1p.f32 u1) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (neg.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(neg.f32 (pow.f32 (log1p.f32 u1) 2))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 4))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 2)))
(log.f32 (/.f32 1 (exp.f32 (pow.f32 (log1p.f32 u1) 2))))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 2)))
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 2)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 2)) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 1 (log1p.f32 u1))))
(/.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (/.f32 1 (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)))
(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))))))

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 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (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 (+.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 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/3 (pow.f32 u1 3))))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (.f32 -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 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/3 (pow.f32 u1 3)))))
(pow.f32 u1 2)
(*.f32 u1 u1)
(+.f32 (pow.f32 u1 2) (pow.f32 u1 3))
(+.f32 (*.f32 u1 u1) (pow.f32 u1 3))
(+.f32 (pow.f32 u1 2) (+.f32 (*.f32 11/12 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 (*.f32 u1 u1) (fma.f32 11/12 (pow.f32 u1 4) (pow.f32 u1 3)))
(+.f32 (.f32 5/6 (pow.f32 u1 5)) (+.f32 (pow.f32 u1 2) (+.f32 (.f32 11/12 (pow.f32 u1 4)) (pow.f32 u1 3))))
(fma.f32 5/6 (pow.f32 u1 5) (+.f32 (*.f32 u1 u1) (fma.f32 11/12 (pow.f32 u1 4) (pow.f32 u1 3))))
(pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) 2)
(pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2)
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2) (*.f32 -2 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) u1)))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2) (/.f32 -2 (/.f32 u1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (+.f32 (.f32 -1 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2) (fma.f32 -1 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (+.f32 (/.f32 1 (.f32 u1 u1)) (*.f32 -2 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) u1)))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2) (fma.f32 -1 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (+.f32 (/.f32 1 (.f32 u1 u1)) (/.f32 -2 (/.f32 u1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 -1 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 2))) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 (.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (pow.f32 u1 3))) (.f32 -2 (/.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) u1)))))))
(+.f32 (+.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2) (/.f32 1 (.f32 u1 u1))) (fma.f32 -1 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (fma.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (pow.f32 u1 3)) (*.f32 -2 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) u1))))))
(+.f32 (fma.f32 -1 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (fma.f32 -2/3 (/.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (pow.f32 u1 3)) (/.f32 -2 (/.f32 u1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (+.f32 (/.f32 1 (.f32 u1 u1)) (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 2)))
(pow.f32 (log.f32 (/.f32 -1 u1)) 2)
(+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))
(fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1)) (+.f32 (/.f32 1 (.f32 u1 u1)) (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))))
(+.f32 (/.f32 1 (.f32 u1 u1)) (+.f32 (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1))))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 -1 (/.f32 (-.f32 (.f32 -2/3 (log.f32 (/.f32 -1 u1))) 1) (pow.f32 u1 3))) (+.f32 (*.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1)) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)))))
(+.f32 (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 u1)) (+.f32 (/.f32 1 (.f32 u1 u1)) (fma.f32 -1 (/.f32 (fma.f32 -2/3 (log.f32 (/.f32 -1 u1)) -1) (pow.f32 u1 3)) (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)))))
(+.f32 (fma.f32 -1 (/.f32 (fma.f32 -2/3 (log.f32 (/.f32 -1 u1)) -1) (pow.f32 u1 3)) (fma.f32 2 (/.f32 (log.f32 (/.f32 -1 u1)) u1) (pow.f32 (log.f32 (/.f32 -1 u1)) 2))) (+.f32 (/.f32 1 (.f32 u1 u1)) (/.f32 (log.f32 (/.f32 -1 u1)) (.f32 u1 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 (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 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(+.f32 (.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 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
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(/.f32 (pow.f32 (log1p.f32 u1) 3) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (pow.f32 (log1p.f32 u1) 3) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(pow.f32 (log1p.f32 u1) 2)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(neg.f32 (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(pow.f32 (log1p.f32 u1) 2)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (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) 3) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (pow.f32 (log1p.f32 u1) 3) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))) (/.f32 1 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))) 1) (cbrt.f32 (log1p.f32 u1)))
(.f32 (cbrt.f32 (log1p.f32 u1)) (/.f32 (pow.f32 (log1p.f32 u1) 3) (.f32 1 (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(/.f32 (pow.f32 (log1p.f32 u1) 3) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (pow.f32 (log1p.f32 u1) 3) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (pow.f32 (log1p.f32 u1) 3) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (/.f32 1 (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (pow.f32 (log1p.f32 u1) 3) (/.f32 (pow.f32 (log1p.f32 u1) 3/2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3/2)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (/.f32 (cbrt.f32 (log1p.f32 u1)) (log1p.f32 u1))) (*.f32 (log1p.f32 u1) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(pow.f32 (log1p.f32 u1) 2)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.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) 3) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (pow.f32 (log1p.f32 u1) 3) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 2))
(*.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (pow.f32 (log1p.f32 u1) 4) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 3/2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) 1) (pow.f32 (log1p.f32 u1) 2))
(pow.f32 (log1p.f32 u1) 2)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)))
(/.f32 (pow.f32 (log1p.f32 u1) 4) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 2)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (pow.f32 (log1p.f32 u1) 4) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (cbrt.f32 (pow.f32 (log1p.f32 u1) 4))) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(/.f32 (pow.f32 (log1p.f32 u1) 4) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (pow.f32 (log1p.f32 u1) 3/2)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 u1) 4) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 3/2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (pow.f32 (log1p.f32 u1) 4)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2)))
(pow.f32 (log1p.f32 u1) 2)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) -1) (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (*.f32 (log1p.f32 u1) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(pow.f32 (log1p.f32 u1) 2)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 4) (neg.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (pow.f32 (log1p.f32 u1) 4) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 4)))))
(neg.f32 (pow.f32 (log1p.f32 u1) 2))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 4))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 2)))
(pow.f32 (log1p.f32 u1) 2)
(log.f32 (/.f32 1 (exp.f32 (pow.f32 (log1p.f32 u1) 2))))
(neg.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 2))))
(pow.f32 (log1p.f32 u1) 2)
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3))
(pow.f32 (log1p.f32 u1) 2)
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 2)))
(pow.f32 (log1p.f32 u1) 2)
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 2)))
(pow.f32 (log1p.f32 u1) 2)
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 2)) 1))
(pow.f32 (log1p.f32 u1) 2)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 2)))
(pow.f32 (log1p.f32 u1) 2)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 1 (log1p.f32 u1))))
(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (log1p.f32 u1))))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (/.f32 1 (log1p.f32 u1))))
(/.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (/.f32 1 (log1p.f32 u1))))
(/.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (/.f32 1 (log1p.f32 u1))))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (cbrt.f32 (/.f32 1 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))

localize22.0ms (0.2%)

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

localize83.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f32 u1)
✓	0.22%	(log.f32 (log1p.f32 u1))
✓	3.43%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series4.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

100 → 183

Calls

Call 1

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

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

localize53.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.02%	(log1p.f32 (neg.f32 u1))
	0.23%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	3.13%	(log.f32 (exp.f32 (cos.f32 0)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`associate-r`
596×	`add-sqr-sqrt`
586×	`*-un-lft-identity`
554×	`pow1`
542×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	117	1
2	817	1
3	7981	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(log.f32 (exp.f32 (cos.f32 0)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	5	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

localize122.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.42%	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.96%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	2.17%	(expm1.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	u2	@	0	(expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`associate-*r/`
554×	`associate-*l/`
530×	`distribute-rgt-in`
482×	`distribute-lft-in`
338×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	344	56
2	4267	28

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(expm1.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))))))

Outputs

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1060×	`*-commutative`
946×	`distribute-lft-in`
846×	`distribute-rgt-in`
632×	`unswap-sqr`
600×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	3516
1	656	3040
2	2521	2806

Stop Event

1×	node limit

Counts

76 → 119

Calls

Call 1

Inputs
(-.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 (.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 (expm1.f32 (cos.f32 0)) 0)
(+.f32 1 (+.f32 (expm1.f32 (cos.f32 0)) -1))
(+.f32 1 (-.f32 (expm1.f32 (cos.f32 0)) 1))
(+.f32 (exp.f32 (cos.f32 0)) -1)
(+.f32 -1 (exp.f32 (cos.f32 0)))
(-.f32 (exp.f32 (cos.f32 0)) 1)
(-.f32 (+.f32 (expm1.f32 (cos.f32 0)) 2) 2)
(*.f32 (expm1.f32 (cos.f32 0)) 1)
(*.f32 1 (expm1.f32 (cos.f32 0)))
(*.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 (*.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) 1) (+.f32 (expm1.f32 (cos.f32 0)) 2))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1) (+.f32 (*.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) (+.f32 (expm1.f32 (cos.f32 0)) 2)))
(/.f32 (.f32 1 (-.f32 (.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) 1)) (+.f32 (expm1.f32 (cos.f32 0)) 2))
(/.f32 (.f32 1 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1)) (+.f32 (.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) (+.f32 (expm1.f32 (cos.f32 0)) 2)))
(/.f32 (.f32 (-.f32 (.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) 1) 1) (+.f32 (expm1.f32 (cos.f32 0)) 2))
(/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1) 1) (+.f32 (.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) (+.f32 (expm1.f32 (cos.f32 0)) 2)))
(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))))
(-.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 (sqrt.f32 (log1p.f32 u1))) (cos.f32 0)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 3))
(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
(-.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 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2)))) (expm1.f32 1))
(fma.f32 (.f32 -2 (.f32 u2 u2)) (*.f32 (E.f32) (pow.f32 (PI.f32) 2)) (expm1.f32 1))
(fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (E.f32) (*.f32 u2 u2))) (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)
(+.f32 (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 4) 8/3)) (E.f32))) -1)
(+.f32 (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (*.f32 8/3 (E.f32))) (E.f32))) -1)
(+.f32 (expm1.f32 1) (.f32 (E.f32) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 u2 u2))) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 8/3)))))
(-.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 (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (fma.f32 (pow.f32 u2 6) (.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 6) -124/45)) (E.f32)))) -1)
(fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (E.f32) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -124/45)))) (expm1.f32 1)))
(+.f32 (.f32 (E.f32) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -124/45)))) (fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (E.f32) (.f32 u2 u2))) (expm1.f32 1)))
(-.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 u2 (.f32 2 (PI.f32)))))
(-.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 u2 (.f32 2 (PI.f32)))))
(-.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 u2 (.f32 2 (PI.f32)))))
(-.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 u2 (.f32 2 (PI.f32)))))
(-.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 u2 (.f32 2 (PI.f32)))))
(-.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 u2 (.f32 2 (PI.f32)))))
(-.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 u2 (.f32 2 (PI.f32)))))
(-.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 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 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 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 -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 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 (sqrt.f32 -1) -1/2) u1) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))
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(fma.f32 -2 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 -1) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))) (fma.f32 -4/45 (.f32 (sqrt.f32 -1) (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 2/3 (.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (sqrt.f32 -1))) (pow.f32 (PI.f32) 4)))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 -1)))) (.f32 (.f32 -4/45 (sqrt.f32 -1)) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) 1) (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) (+.f32 (.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 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (expm1.f32 (cos.f32 0)) 0)
(expm1.f32 1)
(+.f32 1 (+.f32 (expm1.f32 (cos.f32 0)) -1))
(expm1.f32 1)
(+.f32 1 (-.f32 (expm1.f32 (cos.f32 0)) 1))
(expm1.f32 1)
(+.f32 (exp.f32 (cos.f32 0)) -1)
(expm1.f32 1)
(+.f32 -1 (exp.f32 (cos.f32 0)))
(expm1.f32 1)
(-.f32 (exp.f32 (cos.f32 0)) 1)
(expm1.f32 1)
(-.f32 (+.f32 (expm1.f32 (cos.f32 0)) 2) 2)
(expm1.f32 1)
(*.f32 (expm1.f32 (cos.f32 0)) 1)
(expm1.f32 1)
(*.f32 1 (expm1.f32 (cos.f32 0)))
(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 (*.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) 1) (+.f32 (expm1.f32 (cos.f32 0)) 2))
(expm1.f32 1)
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1) (+.f32 (*.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) (+.f32 (expm1.f32 (cos.f32 0)) 2)))
(/.f32 (+.f32 (pow.f32 (E.f32) 3) -1) (+.f32 (+.f32 2 (expm1.f32 1)) (exp.f32 2)))
(/.f32 (+.f32 -1 (exp.f32 3)) (+.f32 2 (+.f32 (expm1.f32 2) (E.f32))))
(/.f32 (+.f32 -1 (exp.f32 3)) (+.f32 1 (+.f32 (E.f32) (exp.f32 2))))
(/.f32 (.f32 1 (-.f32 (.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) 1)) (+.f32 (expm1.f32 (cos.f32 0)) 2))
(expm1.f32 1)
(/.f32 (.f32 1 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1)) (+.f32 (.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) (+.f32 (expm1.f32 (cos.f32 0)) 2)))
(/.f32 (+.f32 (pow.f32 (E.f32) 3) -1) (+.f32 (+.f32 2 (expm1.f32 1)) (exp.f32 2)))
(/.f32 (+.f32 -1 (exp.f32 3)) (+.f32 2 (+.f32 (expm1.f32 2) (E.f32))))
(/.f32 (+.f32 -1 (exp.f32 3)) (+.f32 1 (+.f32 (E.f32) (exp.f32 2))))
(/.f32 (.f32 (-.f32 (.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) 1) 1) (+.f32 (expm1.f32 (cos.f32 0)) 2))
(expm1.f32 1)
(/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 0)) 3) 1) 1) (+.f32 (.f32 (exp.f32 (cos.f32 0)) (exp.f32 (cos.f32 0))) (+.f32 (expm1.f32 (cos.f32 0)) 2)))
(/.f32 (+.f32 (pow.f32 (E.f32) 3) -1) (+.f32 (+.f32 2 (expm1.f32 1)) (exp.f32 2)))
(/.f32 (+.f32 -1 (exp.f32 3)) (+.f32 2 (+.f32 (expm1.f32 2) (E.f32))))
(/.f32 (+.f32 -1 (exp.f32 3)) (+.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))
(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)
(-.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 (sqrt.f32 (log1p.f32 u1))) (cos.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 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))

eval556.0ms (4.2%)

Compiler: Compiled 23448 to 16071 computations (31.5% saved)

prune336.0ms (2.5%)

Pruning

50 alts after pruning (41 fresh and 9 done)

	Pruned	Kept	Total
New	885	12	897
Fresh	4	29	33
Picked	0	1	1
Done	1	8	9
Total	890	50	940

Error

0.18%

Counts

940 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	25.65%	(/.f32 (.f32 (log1p.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
	25.6%	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (/.f32 1 (log1p.f32 u1))))
	27.35%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	36.57%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	25.78%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	44.5%	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	43.01%	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
▶	11.07%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	1.89%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.96%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	12.62%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 (.f32 u1 u1) (pow.f32 u1 3)) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	21.91%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	7.28%	(.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)))
	23.48%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	27.08%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) (log.f32 (exp.f32 (cos.f32 0))))
▶	26.09%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	0.97%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	43.76%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	34.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (log.f32 (exp.f32 (cos.f32 0))))
✓	33.92%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	4.57%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	1.28%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	1.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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))))
	1.28%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
	1.15%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
	1.15%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
✓	1.04%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	2.64%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	20.39%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 0))))
✓	1.16%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.95%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	0.86%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	1.31%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
▶	0.97%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	18.98%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	49.28%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	25.46%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))))
	23.35%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	95.57%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	36.11%	(.f32 (exp.f32 (.f32 (fma.f32 5/24 (.f32 u1 u1) (+.f32 (log.f32 u1) (.f32 u1 -1/2))) 1/2)) 1)
▶	36.21%	(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 u1 -1/2)) 1/2)) 1)
	60.15%	(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
	36.35%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)) 1/2)) 1)
	26.56%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	34.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
	27.89%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	35.44%	(sqrt.f32 (log1p.f32 u1))
	62.14%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	29.21%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

Compiler

Compiled 1513 to 1253 computations (17.2% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	0.72%	(log1p.f32 (*.f32 (PI.f32) u2))
✓	0.81%	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
	0.96%	(*.f32 (PI.f32) u2)

Compiler

Compiled 62 to 21 computations (66.1% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

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

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

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

136 → 215

Calls

Call 1

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

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2)))
(fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (.f32 u2 (PI.f32)))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 u2 (PI.f32))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 u2 (PI.f32) (.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(fma.f32 1/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 u2 (PI.f32))))
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(/.f32 (.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)))

localize42.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)
✓	0.29%	(sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))

Compiler

Compiled 49 to 27 computations (44.9% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

113 → 163

Calls

Call 1

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

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

localize52.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.56%	(+.f32 (log.f32 u1) (*.f32 u1 -1/2))
✓	3.4%	(exp.f32 (.f32 (+.f32 (log.f32 u1) (.f32 u1 -1/2)) 1/2))

Compiler

Compiled 46 to 31 computations (32.6% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

153 → 211

Calls

Call 1

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

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

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.29%	(sqrt.f32 (neg.f32 (fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))))
✓	0.38%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.42%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.96%	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 67 to 35 computations (47.8% saved)

series5.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`swap-sqr`
576×	`distribute-rgt-in`
522×	`distribute-lft-in`
380×	`add-sqr-sqrt`
366×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	379	62
2	4553	62

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1410×	`associate-+l+`
1304×	`fma-def`
1080×	`times-frac`
1054×	`*-commutative`
930×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	4392
1	553	4356
2	2026	4152
3	7377	4152

Stop Event

1×	node limit

Counts

82 → 148

Calls

Call 1

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

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

localize304.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.42%	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.44%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.96%	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	2.44%	(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
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	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	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)))))

rewrite72.0ms (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)))))))))

simplify93.0ms (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)))))))
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(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (fma.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 u2 4)) 1) (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 6) (.f32 -4/45 (pow.f32 (PI.f32) 6)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 -1) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 u2 6) (*.f32 -4/45 (pow.f32 (PI.f32) 6))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 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) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 (cos.f32 0) 0)
1
(+.f32 0 (cos.f32 0))
1
(+.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 (cbrt.f32 (exp.f32 1))) (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 1)))))
(*.f32 3 (log.f32 (cbrt.f32 (E.f32))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0)))) (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 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2)) (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 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 0))))) (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 0 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 0))) 2))) (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 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))

eval678.0ms (5.1%)

Compiler: Compiled 24978 to 16857 computations (32.5% saved)

prune398.0ms (3%)

Pruning

57 alts after pruning (46 fresh and 11 done)

	Pruned	Kept	Total
New	937	13	950
Fresh	3	33	36
Picked	0	1	1
Done	3	10	13
Total	943	57	1000

Error

0.17%

Counts

1000 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	25.6%	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (/.f32 1 (log1p.f32 u1))))
	27.35%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	36.57%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	25.78%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	44.5%	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	43.01%	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	95.76%	(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) 1)
	81.04%	(.f32 (.f32 (sqrt.f32 1/2) u1) 1)
	12.33%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))))
✓	11.07%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	26.53%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1)) 3))) 1)
	1.89%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.96%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	26.13%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 (neg.f32 u1) (neg.f32 u1))) (-.f32 (.f32 -1/2 (*.f32 u1 u1)) (neg.f32 u1))))) 1)
	12.62%	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 (.f32 u1 u1) (pow.f32 u1 3)) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	21.91%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	7.28%	(.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)))
	23.48%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
✓	26.09%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	0.97%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	26.17%	(.f32 (sqrt.f32 (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1)) (/.f32 1 (fma.f32 -1/2 (*.f32 u1 u1) u1))))) 1)
	26.17%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) 1)
	81.04%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (*.f32 u1 -1/2)))) 1)
	43.76%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	34.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (log.f32 (exp.f32 (cos.f32 0))))
	4.57%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	1.28%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	1.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.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))))
	1.28%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
	1.15%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
	1.15%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
✓	1.04%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	2.64%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	20.39%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 0))))
✓	1.16%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	1.18%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.86%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	1.31%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	18.98%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	49.28%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	55.33%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (exp.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))))) 1)
	25.46%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))))
	23.35%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	33.92%	(*.f32 (sqrt.f32 u1) 1)
	95.57%	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	36.11%	(.f32 (exp.f32 (.f32 (fma.f32 5/24 (.f32 u1 u1) (+.f32 (log.f32 u1) (.f32 u1 -1/2))) 1/2)) 1)
	36.22%	(.f32 (exp.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (.f32 -1/2 u1)) 1/2)) 1)
✓	36.21%	(.f32 (exp.f32 (.f32 (+.f32 (log.f32 u1) (*.f32 u1 -1/2)) 1/2)) 1)
	80.66%	(.f32 (exp.f32 (.f32 (*.f32 u1 -1/2) 1/2)) 1)
	60.15%	(.f32 (exp.f32 (.f32 (log1p.f32 (-.f32 (log1p.f32 u1) 1)) 1/2)) 1)
	36.35%	(.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)) 1/2)) 1)
	34.7%	(.f32 (exp.f32 (.f32 (log.f32 u1) 1/2)) 1)
	27.89%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	35.44%	(sqrt.f32 (log1p.f32 u1))
	62.14%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	29.21%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))

Compiler

Compiled 938 to 775 computations (17.4% saved)

regimes655.0ms (4.9%)

Counts

78 → 1

Calls

Call 1

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

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

Calls

10 calls:

282.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
73.0ms	(.f32 (.f32 2 (PI.f32)) u2)
57.0ms	u2
45.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
35.0ms	cosTheta_i

Results

Error	Segments	Branch
0.86%	1	`cosTheta_i`
0.86%	1	`u1`
0.86%	1	`u2`
0.86%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.86%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.86%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.86%	1	`(log.f32 (-.f32 1 u1))`
0.86%	1	`(-.f32 1 u1)`
0.86%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.86%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1123 to 638 computations (43.2% saved)

regimes376.0ms (2.8%)

Counts

37 → 2

Calls

Call 1

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

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

9 calls:

76.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
62.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
48.0ms	u1
48.0ms	(.f32 (.f32 2 (PI.f32)) u2)
31.0ms	u2

Results

Error	Segments	Branch
7.28%	1	`cosTheta_i`
3.64%	2	`u1`
2.91%	2	`u2`
3.64%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
3.64%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
3.64%	2	`(log.f32 (-.f32 1 u1))`
3.64%	2	`(-.f32 1 u1)`
2.93%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.91%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 444 to 315 computations (29.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005565470200963318	0.0005581195000559092

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes196.0ms (1.5%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

9 calls:

27.0ms	(.f32 (.f32 2 (PI.f32)) u2)
25.0ms	u2
25.0ms	u1
25.0ms	(-.f32 1 u1)
23.0ms	(log.f32 (-.f32 1 u1))

Results

Error	Segments	Branch
18.98%	1	`cosTheta_i`
11.86%	2	`u1`
8.98%	2	`u2`
11.86%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
11.86%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
11.86%	2	`(log.f32 (-.f32 1 u1))`
11.86%	2	`(-.f32 1 u1)`
8.98%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
8.98%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 364 to 268 computations (26.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0022316090762615204	0.0024168933741748333

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes115.0ms (0.9%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

7 calls:

43.0ms	u2
15.0ms	cosTheta_i
13.0ms	u1
11.0ms	(-.f32 1 u1)
10.0ms	(log.f32 (-.f32 1 u1))

Results

Error	Segments	Branch
18.98%	1	`cosTheta_i`
18.98%	1	`u1`
18.98%	1	`u2`
18.98%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
18.98%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
18.98%	1	`(log.f32 (-.f32 1 u1))`
18.98%	1	`(-.f32 1 u1)`

Compiler

Compiled 274 to 205 computations (25.2% saved)

regimes25.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	cosTheta_i
8.0ms	u2
7.0ms	u1

Results

Error	Segments	Branch
21.91%	1	`cosTheta_i`
21.91%	1	`u1`
21.91%	1	`u2`

Compiler

Compiled 132 to 99 computations (25% saved)

regimes25.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

12.0ms	u1
5.0ms	cosTheta_i
5.0ms	u2

Results

Error	Segments	Branch
23.48%	1	`cosTheta_i`
23.48%	1	`u1`
23.48%	1	`u2`

Compiler

Compiled 92 to 71 computations (22.8% saved)

regimes17.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	u2
5.0ms	u1
5.0ms	cosTheta_i

Results

Error	Segments	Branch
26.09%	1	`cosTheta_i`
26.09%	1	`u1`
26.09%	1	`u2`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes38.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	u2
5.0ms	cosTheta_i
4.0ms	u1

Results

Error	Segments	Branch
26.17%	1	`cosTheta_i`
26.17%	1	`u1`
26.17%	1	`u2`

Compiler

Compiled 66 to 53 computations (19.7% saved)

regimes14.0ms (0.1%)

Accuracy

Total -20.0b remaining (-184.2%)

Threshold costs -20b (-184.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	cosTheta_i
4.0ms	u1
4.0ms	u2

Results

Error	Segments	Branch
33.92%	1	`cosTheta_i`
33.92%	1	`u1`
33.92%	1	`u2`

Compiler

Compiled 55 to 44 computations (20% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

196×	`distribute-lft-neg-in`
128×	`*-commutative`
116×	`distribute-rgt-neg-in`
78×	`distribute-neg-in`
72×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	379
1	114	379
2	144	371
3	202	359
4	256	359
5	337	359
6	428	359
7	509	359
8	526	359
9	528	359

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) 9586367/17179869184) (.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) 5153961/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) 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) 9586367/17179869184) (.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))) 9586367/17179869184) (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))) 9586367/17179869184) (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))) 9586367/17179869184) (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))) 9586367/17179869184) (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) 5153961/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 5153961/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4))))) u1)))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.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 (neg.f32 (.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) 1)
(sqrt.f32 (.f32 u1 (neg.f32 (+.f32 (.f32 u1 -1/2) -1))))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2))))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)

Compiler

Compiled 144 to 113 computations (21.5% saved)

soundness29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

end78.0ms (0.6%)

Compiler: Compiled 120 to 70 computations (41.7% saved)

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

Iter	Nodes	Cost
0	65	379
1	114	379
2	144	371
3	202	359
4	256	359
5	337	359
6	428	359
7	509	359
8	526	359
9	528	359

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	65	379
1	114	379
2	144	371
3	202	359
4	256	359
5	337	359
6	428	359
7	509	359
8	526	359
9	528	359

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	65	379
1	114	379
2	144	371
3	202	359
4	256	359
5	337	359
6	428	359
7	509	359
8	526	359
9	528	359

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