Details

analyze216.0ms (1.7%)

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 (22.1%)

Results

2.8s	8256×	body	256	valid
3.0ms	11×	body	256	precondition

Bogosity

preprocess38.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.5b	(.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)

localize89.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.1b	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.1b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series6.0ms (0%)

Counts

4 → 44

Calls

12 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

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

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

225 → 312

Calls

Call 1

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

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

localize95.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 19 computations (59.6% saved)

series31.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

189 → 263

Calls

Call 1

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

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

eval371.0ms (2.9%)

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

prune168.0ms (1.3%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	545	30	575
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	545	32	577

Error

0.1b

Counts

577 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	8.4b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (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))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	0.3b	(.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))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	5.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.8b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
▶	8.3b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	9.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))

Compiler

Compiled 1189 to 955 computations (19.7% saved)

localize76.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 78 to 26 computations (66.7% saved)

series6.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	231	57
2	3087	57

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1766×	`associate-/r*`
1034×	`associate-+r+`
996×	`associate-+l+`
876×	`+-commutative`
870×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	6271
1	894	5317
2	3930	5309

Stop Event

1×	node limit

Counts

137 → 244

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 92

Calls

Call 1

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

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

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

series30.0ms (0.2%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
10.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)
2.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	-inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

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

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1780×	`associate-/r*`
974×	`associate-*r/`
900×	`associate-r`
836×	`associate-l`
738×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	8079
1	1221	6921
2	5321	6845

Stop Event

1×	node limit

Counts

123 → 211

Calls

Call 1

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

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
✓	0.2b	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
	0.4b	(*.f32 (PI.f32) u2)

Compiler

Compiled 62 to 21 computations (66.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	inf	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	-inf	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	0	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
0.0ms	u2	@	-inf	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`add-sqr-sqrt`
1420×	`*-un-lft-identity`
1308×	`add-cube-cbrt`
1288×	`add-cbrt-cube`
1272×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	173	22
2	1805	22

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (*.f32 (PI.f32) u2))

Outputs

((#(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) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (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 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(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 (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 (*.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 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) 1) (+.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))) (#(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 1 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 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 (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 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 1 (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 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))))))

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1504×	`associate-+r-`
1294×	`fma-def`
1058×	`associate-/r*`
896×	`unswap-sqr`
736×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1539
1	404	1245
2	1680	1231
3	7259	1231

Stop Event

1×	node limit

Counts

69 → 91

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

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

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.3b	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
✓	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 76 to 19 computations (75% saved)

series38.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	u2	@	-inf	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
13.0ms	u2	@	inf	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
1.0ms	u2	@	0	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
0.0ms	u2	@	0	(log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
0.0ms	u2	@	0	(*.f32 (PI.f32) (+.f32 u2 u2))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`*-commutative`
802×	`unswap-sqr`
778×	`associate-*r/`
614×	`associate-*l/`
594×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	270	57
2	3232	15

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs
(*.f32 (PI.f32) (+.f32 u2 u2))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
(log1p.f32 (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 0 (cos.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 0) 0)))) (#(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 1 (-.f32 (cos.f32 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 0) 2) -2)))) (#(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 (*.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 -1 (cos.f32 0)) 1)))) (#(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 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (/.f32 1 (+.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (sqrt.f32 (+.f32 (cos.f32 0) 1))) (-.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1)) 1) (+.f32 1 (sqrt.f32 (+.f32 (cos.f32 0) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (cos.f32 0) 2)) (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))) (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2))) (cos.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (-.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 2))) (-.f32 0 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (+.f32 1 (+.f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (-.f32 (*.f32 (+.f32 (cos.f32 0) 1) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (*.f32 (+.f32 (cos.f32 0) 2) (+.f32 (cos.f32 0) 2)))) (-.f32 (+.f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 (pow.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) 3) (pow.f32 (+.f32 (cos.f32 0) 2) 3))) (+.f32 (*.f32 (+.f32 (cos.f32 0) 1) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (*.f32 (+.f32 (cos.f32 0) 2) (-.f32 (+.f32 (cos.f32 0) 2) (pow.f32 (+.f32 (cos.f32 0) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 0))) (cbrt.f32 (cos.f32 0))) (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 0))) (cbrt.f32 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 0))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 0))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (cbrt.f32 (cos.f32 0)))) (*.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (cbrt.f32 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (sqrt.f32 (cos.f32 0)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (sqrt.f32 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (*.f32 (+.f32 (cos.f32 0) 1) -1))) (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (+.f32 (cos.f32 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (cos.f32 0) 2) (/.f32 (+.f32 (cos.f32 0) 2) (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (*.f32 (+.f32 (cos.f32 0) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2))) (/.f32 (+.f32 (cos.f32 0) 2) (sqrt.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)) (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (*.f32 (+.f32 (cos.f32 0) 1) -1))) (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2))) (cbrt.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))) (/.f32 (+.f32 (cos.f32 0) 2) (cbrt.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (cbrt.f32 (+.f32 -1 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simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`fma-def`
1042×	`+-commutative`
886×	`associate--r+`
664×	`associate--l+`
642×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	349	1694
1	1301	1500
2	2316	1426
3	5091	1410
4	6792	1410

Stop Event

1×	node limit

Counts

156 → 162

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 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/24 (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))) (.f32 1/2 (pow.f32 (PI.f32) 4)))))))
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(*.f32 (sqrt.f32 (log1p.f32 (cos.f32 0))) (sqrt.f32 (log1p.f32 (cos.f32 0))))
(*.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2) (cbrt.f32 (log1p.f32 (cos.f32 0))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (cos.f32 0)))) (cbrt.f32 (log1p.f32 (cos.f32 0)))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (cos.f32 0)))) (cbrt.f32 (log1p.f32 (cos.f32 0)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (cos.f32 0)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (cos.f32 0)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2))))
(.f32 (.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) (sqrt.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))))) (*.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) (sqrt.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (cos.f32 0))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (cos.f32 0))))))
(pow.f32 (log1p.f32 (cos.f32 0)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (cos.f32 0))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 3)
(pow.f32 (pow.f32 (log1p.f32 (cos.f32 0)) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (cos.f32 0)) 2))
(log.f32 (+.f32 (cos.f32 0) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (cos.f32 0)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (cos.f32 0))))
(exp.f32 (log.f32 (log1p.f32 (cos.f32 0))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 (PI.f32) 2))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/24 (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))) (.f32 1/2 (pow.f32 (PI.f32) 4)))))))
(+.f32 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 (.f32 2 (pow.f32 u2 4)) (fma.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) -4) (.f32 (pow.f32 (PI.f32) 4) 1/2)))))
(+.f32 1 (fma.f32 2 (.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (PI.f32) 4) 1/2 (.f32 (pow.f32 (PI.f32) 4) -1/6))) (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (*.f32 u2 u2)))))
(fma.f32 2 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 1/3)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 2 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 1/720 (+.f32 (.f32 240 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -240 (pow.f32 (PI.f32) 6)) (.f32 -32 (pow.f32 (PI.f32) 6))))))))) (.f32 2 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/24 (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))) (*.f32 1/2 (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 2 (+.f32 (.f32 (pow.f32 u2 6) (fma.f32 -1/6 (pow.f32 (PI.f32) 6) (fma.f32 -1/24 (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) -4)) (.f32 1/720 (fma.f32 240 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 (PI.f32) 6) -272)))))) (.f32 (pow.f32 u2 4) (fma.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) -4) (*.f32 (pow.f32 (PI.f32) 4) 1/2)))))))
(+.f32 1 (fma.f32 2 (fma.f32 (pow.f32 u2 6) (fma.f32 -1/6 (pow.f32 (PI.f32) 6) (fma.f32 1/720 (.f32 (pow.f32 (PI.f32) 6) -32) (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 (pow.f32 (PI.f32) 4) -4) -1/24)))) (.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (PI.f32) 4) 1/2 (.f32 (pow.f32 (PI.f32) 4) -1/6)))) (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (*.f32 u2 u2)))))
(fma.f32 2 (fma.f32 (pow.f32 u2 6) (fma.f32 -1/24 (.f32 (pow.f32 (PI.f32) 6) -4) (fma.f32 -1/6 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 (PI.f32) 6) -2/45))) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 1/3))) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(fma.f32 2 (fma.f32 (pow.f32 u2 6) (fma.f32 -1/24 (.f32 (pow.f32 (PI.f32) 6) -4) (.f32 (pow.f32 (PI.f32) 6) -19/90)) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 1/3))) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(log.f32 2)
(+.f32 (log.f32 2) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (log.f32 2) (neg.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(-.f32 (log.f32 2) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))
(-.f32 (log.f32 2) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(+.f32 (log.f32 2) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4))))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 2) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -4)) (neg.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 2) (-.f32 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/6)) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/6) (log.f32 2)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 240 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -240 (pow.f32 (PI.f32) 6)) (.f32 -32 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))) (+.f32 (log.f32 2) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4))))) (.f32 -1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(fma.f32 1/720 (.f32 (pow.f32 u2 6) (fma.f32 240 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 (PI.f32) 6) -272))) (+.f32 (log.f32 2) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -4)) (neg.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(+.f32 (-.f32 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/6)) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))) (fma.f32 1/720 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -32)) (log.f32 2)))
(-.f32 (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -2/45) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/6) (log.f32 2))) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
0
(+.f32 0 (cos.f32 0))
1
(+.f32 (cos.f32 0) 0)
1
(+.f32 (+.f32 (cos.f32 0) 1) -1)
1
(+.f32 1 (+.f32 (cos.f32 0) -1))
1
(+.f32 1 (-.f32 (cos.f32 0) 1))
1
(+.f32 (+.f32 (cos.f32 0) 2) -2)
1
(+.f32 -1 (+.f32 (cos.f32 0) 1))
1
(+.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))))
(fma.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(-.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 -1 (cos.f32 0)) 1)
1
(*.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 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (/.f32 1 (+.f32 (cos.f32 0) 2)))
1
(*.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))
1
(*.f32 (+.f32 1 (sqrt.f32 (+.f32 (cos.f32 0) 1))) (-.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1)) 1))
1
(*.f32 (-.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1)) 1) (+.f32 1 (sqrt.f32 (+.f32 (cos.f32 0) 1))))
1
(.f32 (/.f32 1 (+.f32 (cos.f32 0) 2)) (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))
1
(*.f32 (/.f32 1 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))) (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))
1
(.f32 (/.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2))) (cos.f32 0))
1
(.f32 (/.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (-.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 2))) (-.f32 0 (cos.f32 0)))
1
(.f32 (/.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (+.f32 1 (+.f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2))))
1
(.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (-.f32 (.f32 (+.f32 (cos.f32 0) 1) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (*.f32 (+.f32 (cos.f32 0) 2) (+.f32 (cos.f32 0) 2)))) (-.f32 (+.f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2)) 1))
1
(.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 (pow.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) 3) (pow.f32 (+.f32 (cos.f32 0) 2) 3))) (+.f32 (.f32 (+.f32 (cos.f32 0) 1) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (*.f32 (+.f32 (cos.f32 0) 2) (-.f32 (+.f32 (cos.f32 0) 2) (pow.f32 (+.f32 (cos.f32 0) 1) 2)))))
1
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (cos.f32 0))) (cbrt.f32 (cos.f32 0))) (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 0))) (cbrt.f32 (cos.f32 0))))
1
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 0))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 0))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2))))
1
(.f32 (.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (cbrt.f32 (cos.f32 0)))) (*.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (cbrt.f32 (cos.f32 0)))))
1
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (sqrt.f32 (cos.f32 0)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (sqrt.f32 (cos.f32 0)))))
1
(/.f32 (cos.f32 0) 1)
1
(/.f32 1 (/.f32 1 (cos.f32 0)))
1
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (*.f32 (+.f32 (cos.f32 0) 1) -1))) (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))))
1
(/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (+.f32 (cos.f32 0) 2))
1
(/.f32 (+.f32 (cos.f32 0) 2) (/.f32 (+.f32 (cos.f32 0) 2) (cos.f32 0)))
1
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)))
1
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (*.f32 (+.f32 (cos.f32 0) 1) -1))))
1
(/.f32 (sqrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2))) (/.f32 (+.f32 (cos.f32 0) 2) (sqrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))))
1
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)) (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))
1
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (*.f32 (+.f32 (cos.f32 0) 1) -1))) (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))
1
(/.f32 (.f32 (cbrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2))) (cbrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))) (/.f32 (+.f32 (cos.f32 0) 2) (cbrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))))
1
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))) (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)) (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))
1
(/.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))) (/.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (.f32 (+.f32 (cos.f32 0) 1) -1))) (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))
1
(/.f32 (-.f32 (.f32 (+.f32 (cos.f32 0) 1) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) 1) (.f32 (+.f32 (cos.f32 0) 2) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 2))))
1
(/.f32 (-.f32 (.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) 1) (.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))))
1
(/.f32 (-.f32 (.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) 1) (.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (*.f32 (+.f32 (cos.f32 0) 1) -1))) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))))
1
(/.f32 (-.f32 (pow.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) 3) 1) (.f32 (+.f32 (cos.f32 0) 2) (+.f32 (.f32 (+.f32 (cos.f32 0) 1) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 2)))))
1
(/.f32 (-.f32 (pow.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) 3) 1) (.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)) (+.f32 (.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))
1
(/.f32 (-.f32 (pow.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) 3) 1) (.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (-.f32 1 (.f32 (+.f32 (cos.f32 0) 1) -1))) (+.f32 (*.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))))
1
(/.f32 (*.f32 (+.f32 (cos.f32 0) 2) (neg.f32 (cos.f32 0))) (neg.f32 (+.f32 (cos.f32 0) 2)))
1
(/.f32 (+.f32 (neg.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) 1) (neg.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))
1
(/.f32 (.f32 (sqrt.f32 (cos.f32 0)) (sqrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))) (sqrt.f32 (+.f32 (cos.f32 0) 2)))
1
(/.f32 (*.f32 (sqrt.f32 (cos.f32 0)) (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))
1
(/.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (cbrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)))) (cbrt.f32 (+.f32 (cos.f32 0) 2)))
1
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))
1
(/.f32 (.f32 (.f32 (+.f32 (cos.f32 0) 2) (neg.f32 (cos.f32 0))) 1) (neg.f32 (+.f32 (cos.f32 0) 2)))
1
(/.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) 1) 1) (neg.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))
1
(/.f32 (.f32 (sqrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2))) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (+.f32 (cos.f32 0) 2)))
1
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))
1
(/.f32 (.f32 (cbrt.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2))) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (+.f32 (cos.f32 0) 2)))
1
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))
1
(/.f32 (.f32 (-.f32 (.f32 (+.f32 (cos.f32 0) 1) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) 1) (/.f32 1 (+.f32 (cos.f32 0) 2))) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 2)))
1
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) 3) 1) (/.f32 1 (+.f32 (cos.f32 0) 2))) (+.f32 (.f32 (+.f32 (cos.f32 0) 1) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 2))))
1
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) 1) (/.f32 1 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)))) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)))
1
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) 3) 1) (/.f32 1 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)))) (+.f32 (.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 3) (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (+.f32 1 (pow.f32 (+.f32 (cos.f32 0) 1) 3))))
1
(/.f32 (/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) 1) (+.f32 (cos.f32 0) 2))
1
(/.f32 (/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (sqrt.f32 (+.f32 (cos.f32 0) 2))) (sqrt.f32 (+.f32 (cos.f32 0) 2)))
1
(/.f32 (/.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (.f32 (cbrt.f32 (+.f32 (cos.f32 0) 2)) (cbrt.f32 (+.f32 (cos.f32 0) 2)))) (cbrt.f32 (+.f32 (cos.f32 0) 2)))
1
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) 1) (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)))
1
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (sqrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))
1
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (*.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2))))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.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
(neg.f32 (/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) 2)) (neg.f32 (+.f32 (cos.f32 0) 2))))
1
(neg.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 (cos.f32 0) 1) 3)) (neg.f32 (+.f32 (pow.f32 (+.f32 (cos.f32 0) 1) 2) (+.f32 (cos.f32 0) 2)))))
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
(expm1.f32 (log1p.f32 (cos.f32 0)))
1
(exp.f32 (log.f32 (cos.f32 0)))
1
(log1p.f32 (expm1.f32 (cos.f32 0)))
1
(fma.f32 1 (+.f32 (cos.f32 0) 1) -1)
1
(fma.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1)) (sqrt.f32 (+.f32 (cos.f32 0) 1)) -1)
1
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2) (cbrt.f32 (+.f32 (cos.f32 0) 1)) -1)
1
(+.f32 0 (log1p.f32 (cos.f32 0)))
(log1p.f32 1)
(+.f32 (log1p.f32 (cos.f32 0)) 0)
(log1p.f32 1)
(+.f32 (log.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2)))
(+.f32 (log.f32 (cbrt.f32 2)) (*.f32 2 (log.f32 (cbrt.f32 2))))
(*.f32 3 (log.f32 (cbrt.f32 2)))
(+.f32 (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1))) (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1))))
(*.f32 2 (log.f32 (sqrt.f32 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1))))
(+.f32 (log.f32 (cbrt.f32 2)) (*.f32 2 (log.f32 (cbrt.f32 2))))
(*.f32 3 (log.f32 (cbrt.f32 2)))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1)))) (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1))))
(*.f32 2 (log.f32 (sqrt.f32 2)))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2))) (log.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1))))
(+.f32 (log.f32 (cbrt.f32 2)) (*.f32 2 (log.f32 (cbrt.f32 2))))
(*.f32 3 (log.f32 (cbrt.f32 2)))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1)))) (.f32 1 (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1)))))
(*.f32 2 (log.f32 (sqrt.f32 2)))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2))) (.f32 1 (log.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)))))
(+.f32 (log.f32 (cbrt.f32 2)) (*.f32 2 (log.f32 (cbrt.f32 2))))
(*.f32 3 (log.f32 (cbrt.f32 2)))
(+.f32 (.f32 (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1))) 1) (.f32 (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1))) 1))
(*.f32 2 (log.f32 (sqrt.f32 2)))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2)) 1) (.f32 (log.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1))) 1))
(+.f32 (log.f32 (cbrt.f32 2)) (*.f32 2 (log.f32 (cbrt.f32 2))))
(*.f32 3 (log.f32 (cbrt.f32 2)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (cos.f32 0)))) 1)
(log1p.f32 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (cos.f32 0))))) 1)
(log1p.f32 1)
(*.f32 (log1p.f32 (cos.f32 0)) 1)
(log1p.f32 1)
(*.f32 1 (log1p.f32 (cos.f32 0)))
(log1p.f32 1)
(*.f32 (sqrt.f32 (log1p.f32 (cos.f32 0))) (sqrt.f32 (log1p.f32 (cos.f32 0))))
(log1p.f32 1)
(*.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2))
(log1p.f32 1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2) (cbrt.f32 (log1p.f32 (cos.f32 0))))
(log1p.f32 1)
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 (cos.f32 0) 1))))
(*.f32 2 (log.f32 (sqrt.f32 2)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (cos.f32 0)))) (cbrt.f32 (log1p.f32 (cos.f32 0)))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (cos.f32 0)))) (cbrt.f32 (log1p.f32 (cos.f32 0)))))
(log1p.f32 1)
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (cos.f32 0)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (cos.f32 0)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2))))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 1))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 1)) 2)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 1)) 2)))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 1)) 2) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 1))) (cbrt.f32 (sqrt.f32 (log1p.f32 1)))))
(.f32 (.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) (sqrt.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))))) (*.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) (sqrt.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))))))
(log1p.f32 1)
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (cos.f32 0))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (cos.f32 0))))))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 1))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 1)) 2)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 1)) 2)))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 1)) 2) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 1))) (cbrt.f32 (sqrt.f32 (log1p.f32 1)))))
(pow.f32 (log1p.f32 (cos.f32 0)) 1)
(log1p.f32 1)
(pow.f32 (sqrt.f32 (log1p.f32 (cos.f32 0))) 2)
(log1p.f32 1)
(pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 0))) 3)
(log1p.f32 1)
(pow.f32 (pow.f32 (log1p.f32 (cos.f32 0)) 3) 1/3)
(log1p.f32 1)
(sqrt.f32 (pow.f32 (log1p.f32 (cos.f32 0)) 2))
(log1p.f32 1)
(log.f32 (+.f32 (cos.f32 0) 1))
(log.f32 2)
(cbrt.f32 (pow.f32 (log1p.f32 (cos.f32 0)) 3))
(log1p.f32 1)
(expm1.f32 (log1p.f32 (log1p.f32 (cos.f32 0))))
(log1p.f32 1)
(exp.f32 (log.f32 (log1p.f32 (cos.f32 0))))
(log1p.f32 1)

eval1.2s (9.4%)

Compiler: Compiled 31500 to 20289 computations (35.6% saved)

prune593.0ms (4.7%)

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	1087	22	1109
Fresh	6	19	25
Picked	1	0	1
Done	1	5	6
Total	1095	46	1141

Error

0.0b

Counts

1141 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	8.3b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.0b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	11.6b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	11.7b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	2.9b	(.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)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	11.1b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	6.5b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2) (cbrt.f32 (+.f32 (cos.f32 0) 1)) -1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (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))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	6.3b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 0))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2)))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (-.f32 (+.f32 1 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	5.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.8b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	30.6b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	11.9b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	11.6b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	11.6b	(sqrt.f32 (log1p.f32 u1))
	20.2b	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1494 to 1229 computations (17.7% saved)

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 21 computations (69.6% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`sqrt-prod`
932×	`unswap-sqr`
776×	`swap-sqr`
442×	`sqr-pow`
426×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	242	41
2	2891	41

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs

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

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

((#(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 #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1/2) (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x -.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 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (-.f32 1 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (+.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) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))) (/.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 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simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1208×	`distribute-lft-in`
1206×	`distribute-rgt-in`
768×	`associate-/l*`
578×	`associate-+r+`
552×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	5617
1	765	4933
2	3425	4753

Stop Event

1×	node limit

Counts

127 → 171

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

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

localize21.0ms (0.2%)

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

localize35.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 u1)
✓	0.0b	(pow.f32 (log1p.f32 u1) 1/4)
✓	0.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
2.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
2.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 1/4)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 1/4)
1.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`add-sqr-sqrt`
1420×	`*-un-lft-identity`
1328×	`add-cube-cbrt`
1318×	`add-cbrt-cube`
1302×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	189	25
2	2026	25

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 u1)

Outputs

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

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

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

838×	`associate-/r*`
748×	`+-commutative`
724×	`associate-+l+`
710×	`associate-+r+`
646×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	5360
1	899	4868
2	3036	4552

Stop Event

1×	node limit

Counts

98 → 192

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))))))))
(pow.f32 u1 1/4)
(+.f32 (pow.f32 u1 1/4) (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4))))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -39/1024 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.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))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (-.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))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.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))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.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 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.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 (.f32 (/.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)))) (pow.f32 u1 3)) (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4))))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (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 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4)))
(*.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))
(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))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))
(exp.f32 (.f32 (.f32 1/4 (log.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 1 (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 (pow.f32 (log1p.f32 u1) 3/4) (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 (pow.f32 (log1p.f32 u1) 1/4) 4)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))

Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.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)))
(fma.f32 (.f32 (sqrt.f32 u1) 13/96) (.f32 u1 u1) (fma.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))))
(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))))
(+.f32 (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (+.f32 (.f32 -35/384 (pow.f32 u1 3)) (.f32 13/96 (.f32 u1 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 (.f32 -1/2 (/.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 (/.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)))
(+.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)))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (.f32 (.f32 -1/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1))))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) u1)) (+.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (.f32 -1/2 (sqrt.f32 -1)) u1)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (*.f32 (log.f32 u1) (log.f32 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)))))))))))
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u1
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(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (log.f32 -1))) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 -1/2 (*.f32 u1 u1)))))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (+.f32 (-.f32 (/.f32 1/3 (pow.f32 u1 3)) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (log1p.f32 u1) 1/2)
(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)))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (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 (sqrt.f32 (log1p.f32 u1))) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.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))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(.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 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (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)))
(pow.f32 (log1p.f32 u1) 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 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1/2)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1)
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/4) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 1/4) 0)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/2)
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/2)
(fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (log1p.f32 u1) 1/4)
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)
(exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/4)
(exp.f32 (.f32 (.f32 1/4 (log.f32 (log1p.f32 u1))) 1))
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(*.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 1 (log1p.f32 u1))
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(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 (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 3/4))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 4)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(log1p.f32 u1)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)

localize46.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (neg.f32 u1))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	1.0b	(log.f32 (exp.f32 (cos.f32 0)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite84.0ms (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)))))

simplify13.0ms (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

localize78.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.3b	(expm1.f32 (*.f32 (PI.f32) u2))
	0.4b	(*.f32 (PI.f32) u2)
✓	13.4b	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))

Compiler

Compiled 77 to 35 computations (54.5% saved)

series26.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	u2	@	-inf	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
11.0ms	u2	@	inf	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
1.0ms	u2	@	0	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
0.0ms	u2	@	0	(expm1.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	inf	(expm1.f32 (*.f32 (PI.f32) u2))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`add-sqr-sqrt`
1854×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1696×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	213	22
2	2323	22

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1070×	`unswap-sqr`
976×	`distribute-lft-in`
904×	`distribute-rgt-in`
870×	`associate-+r+`
772×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1453
1	477	1345
2	2187	1267

Stop Event

1×	node limit

Counts

81 → 87

Calls

Call 1

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

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

eval398.0ms (3.2%)

Compiler: Compiled 23732 to 14793 computations (37.7% saved)

prune711.0ms (5.6%)

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	805	11	816
Fresh	2	34	36
Picked	0	1	1
Done	5	4	9
Total	812	50	862

Error

0.0b

Counts

862 → 50

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.3b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
	26.6b	(*.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) (log.f32 u1)) 1/4) 2) 1)
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.0b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	20.2b	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
	11.1b	(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
	12.9b	(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1) 2) 1)
	11.7b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	14.5b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	14.2b	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	2.9b	(.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)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) (log.f32 (exp.f32 (cos.f32 0))))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	6.5b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2) (cbrt.f32 (+.f32 (cos.f32 0) 1)) -1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)) (+.f32 1 (+.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (exp.f32 (.f32 2 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (-.f32 (+.f32 1 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))))
✓	5.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.8b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	11.1b	(*.f32 (sqrt.f32 u1) 1)
	30.6b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	11.9b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
▶	11.6b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	11.6b	(sqrt.f32 (log1p.f32 u1))
	20.2b	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1638 to 1325 computations (19.1% saved)

localize130.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.1b	(sin.f32 (*.f32 u2 (PI.f32)))
✓	0.4b	(*.f32 u2 (PI.f32))
✓	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 79 to 37 computations (53.2% saved)

series2.0ms (0%)

Counts

3 → 8

Calls

9 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`add-sqr-sqrt`
1716×	`*-un-lft-identity`
1580×	`add-cube-cbrt`
1560×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	198	41
2	2217	41

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1196×	`fma-def`
970×	`+-commutative`
716×	`*-commutative`
502×	`distribute-lft-in`
486×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1282
1	403	1248
2	1684	1222
3	5127	1222

Stop Event

1×	node limit

Counts

62 → 95

Calls

Call 1

Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 u2 (PI.f32)) (.f32 -1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 1/120 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 -1/5040 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)
(.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2))
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2)) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (+.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) 2)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(exp.f32 (.f32 2 (log.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(exp.f32 (.f32 (.f32 2 (log.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(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 (sin.f32 (*.f32 u2 (PI.f32))))) 1)
(.f32 (sin.f32 (.f32 u2 (PI.f32))) 1)
(.f32 1 (sin.f32 (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 1)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(fabs.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (exp.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 (PI.f32)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32)))))

Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 u2 (PI.f32)) 2)
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 u2 (PI.f32)) 2))
(fma.f32 -1/3 (pow.f32 (.f32 u2 (PI.f32)) 4) (pow.f32 (.f32 u2 (PI.f32)) 2))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (pow.f32 (.f32 u2 (PI.f32)) 4) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 -1/3 (pow.f32 (.f32 u2 (PI.f32)) 4) (fma.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 u2 6) 2/45) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (pow.f32 (.f32 u2 (PI.f32)) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (pow.f32 (.f32 u2 (PI.f32)) 4) (fma.f32 (pow.f32 (PI.f32) 8) (.f32 (pow.f32 u2 8) -1/315) (pow.f32 (.f32 u2 (PI.f32)) 2))))
(fma.f32 (pow.f32 (PI.f32) 8) (.f32 (pow.f32 u2 8) -1/315) (fma.f32 -1/3 (pow.f32 (.f32 u2 (PI.f32)) 4) (fma.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 u2 6) 2/45) (pow.f32 (.f32 u2 (PI.f32)) 2))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 u2 (PI.f32)) (.f32 -1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 u2 (PI.f32) (.f32 -1/6 (pow.f32 (.f32 u2 (PI.f32)) 3)))
(fma.f32 -1/6 (pow.f32 (.f32 u2 (PI.f32)) 3) (.f32 u2 (PI.f32)))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 1/120 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (pow.f32 (.f32 u2 (PI.f32)) 3) (.f32 1/120 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 u2 (PI.f32) (fma.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -1/6 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(fma.f32 (pow.f32 (PI.f32) 5) (.f32 1/120 (pow.f32 u2 5)) (fma.f32 -1/6 (pow.f32 (.f32 u2 (PI.f32)) 3) (*.f32 u2 (PI.f32))))
(fma.f32 (pow.f32 u2 5) (.f32 1/120 (pow.f32 (PI.f32) 5)) (fma.f32 -1/6 (pow.f32 (.f32 u2 (PI.f32)) 3) (*.f32 u2 (PI.f32))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 -1/5040 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 -1/6 (pow.f32 (.f32 u2 (PI.f32)) 3) (fma.f32 u2 (PI.f32) (fma.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 1/2 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) -1/2))
(fma.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1/2 1/2)
(fma.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -1/2 1/2)
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2)) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (+.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) 2)
(/.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)
(-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(/.f32 (-.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)
(+.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) -2))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(cbrt.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(exp.f32 (.f32 2 (log.f32 (sin.f32 (.f32 u2 (PI.f32))))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(exp.f32 (.f32 (.f32 2 (log.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 1))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(*.f32 u2 (PI.f32))
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(*.f32 u2 (PI.f32))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 1))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 1)
(sin.f32 (*.f32 u2 (PI.f32)))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) 1)
(sin.f32 (*.f32 u2 (PI.f32)))
(.f32 1 (sin.f32 (.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (PI.f32)))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2))
(sin.f32 (*.f32 u2 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2)))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))) (fabs.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 4)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 1)
(sin.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)
(sin.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2)
(sin.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 3)
(sin.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 3) 1/3)
(sin.f32 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(sin.f32 (*.f32 u2 (PI.f32)))
(fabs.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 u2 (PI.f32)))
(log.f32 (exp.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(sin.f32 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 3))
(sin.f32 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 (PI.f32)))) 1))
(sin.f32 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))

localize14.0ms (0.1%)

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

localize36.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 u1)
	0.1b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
	0.3b	(pow.f32 (log1p.f32 u1) 3/2)

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (log1p.f32 u1))
✓	0.3b	(/.f32 1 (sqrt.f32 (log1p.f32 u1)))
✓	0.3b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
✓	0.4b	(.f32 (PI.f32) (.f32 2 u2))

Compiler

Compiled 44 to 26 computations (40.9% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

15 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-*r/`
798×	`associate-*l/`
792×	`associate-/r*`
632×	`associate-/l*`
320×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	321	68
2	3855	68

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 2 u2))
(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))

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

simplify175.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-r`
622×	`+-commutative`
604×	`associate-l`
584×	`*-commutative`
546×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	565	10294
1	1516	9824
2	6152	9628

Stop Event

1×	node limit

Counts

224 → 311

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

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

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.3b	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)
	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 66 to 18 computations (72.7% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite170.0ms (1.3%)

Algorithm

2×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

1818×	`add-sqr-sqrt`
1802×	`*-un-lft-identity`
1674×	`add-cube-cbrt`
1650×	`add-cbrt-cube`
900×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	252	38
2	2962	38
0	12	19
1	252	19
2	2962	19
0	12	19
0	9	19
1	187	19
2	2469	19

Stop Event

1×	node limit
1×	iter limit
1×	node limit
1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))

Outputs

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

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1630×	`distribute-lft-in`
1358×	`distribute-rgt-in`
1024×	`+-commutative`
908×	`fma-def`
860×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1715
1	314	1671
2	1207	1425
3	3680	1337

Stop Event

1×	node limit

Counts

55 → 50

Calls

Call 1

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

Outputs
1
(+.f32 (.f32 (+.f32 (.f32 -2/3 (pow.f32 (PI.f32) 2)) (*.f32 -4/3 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)) 1)
(fma.f32 (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 u2 u2) 1)
(fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) 1)
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2)) 1)
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) -2) 1)
(+.f32 (.f32 (+.f32 (.f32 -2/3 (pow.f32 (PI.f32) 2)) (.f32 -4/3 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)) (+.f32 1 (.f32 (+.f32 (.f32 4/9 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 2/3 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 8/9 (pow.f32 (PI.f32) 4)) (.f32 1/3 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 4/3 (pow.f32 (PI.f32) 4))))))) (pow.f32 u2 4))))
(+.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 u2 u2) 1) (.f32 (fma.f32 4/9 (pow.f32 (PI.f32) 4) (fma.f32 2/3 (.f32 (pow.f32 (PI.f32) 4) -2/3) (fma.f32 8/9 (pow.f32 (PI.f32) 4) (.f32 (.f32 (pow.f32 (PI.f32) 4) -2/3) 1/3)))) (pow.f32 u2 4)))
(fma.f32 (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 u2 u2) (fma.f32 (+.f32 (fma.f32 (pow.f32 (PI.f32) 4) 8/9 (.f32 (pow.f32 (PI.f32) 4) -2/9)) (fma.f32 4/9 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) -4/9))) (pow.f32 u2 4) 1))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2)) (fma.f32 (fma.f32 4/9 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 (PI.f32) 4) 2/9)) (pow.f32 u2 4) 1))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) -2) (fma.f32 (pow.f32 (PI.f32) 4) (*.f32 2/3 (pow.f32 u2 4)) 1))
(+.f32 (.f32 (+.f32 (.f32 -2/3 (pow.f32 (PI.f32) 2)) (.f32 -4/3 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)) (+.f32 1 (+.f32 (.f32 (+.f32 (.f32 4/9 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 2/3 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 8/9 (pow.f32 (PI.f32) 4)) (.f32 1/3 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 4/3 (pow.f32 (PI.f32) 4))))))) (pow.f32 u2 4)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/3 (-.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -4/3 (.f32 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 4/3 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -8/27 (pow.f32 (PI.f32) 6))))) (+.f32 (.f32 -2/3 (.f32 (+.f32 (.f32 4/9 (pow.f32 (PI.f32) 4)) (.f32 2/3 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 4/3 (pow.f32 (PI.f32) 4))))) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -8/9 (.f32 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 4/3 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 2/3 (-.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -4/3 (.f32 (-.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 4/3 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (*.f32 -8/27 (pow.f32 (PI.f32) 6))))))))))))
(+.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 u2 u2) 1) (fma.f32 (fma.f32 4/9 (pow.f32 (PI.f32) 4) (fma.f32 2/3 (.f32 (pow.f32 (PI.f32) 4) -2/3) (fma.f32 8/9 (pow.f32 (PI.f32) 4) (.f32 (.f32 (pow.f32 (PI.f32) 4) -2/3) 1/3)))) (pow.f32 u2 4) (.f32 (pow.f32 u2 6) (fma.f32 1/3 (-.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (fma.f32 -4/3 (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) -2/3)) (.f32 (pow.f32 (PI.f32) 6) -8/27))) (fma.f32 -2/3 (.f32 (pow.f32 (PI.f32) 2) (fma.f32 4/9 (pow.f32 (PI.f32) 4) (.f32 2/3 (.f32 (pow.f32 (PI.f32) 4) -2/3)))) (fma.f32 -8/9 (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) -2/3)) (.f32 2/3 (-.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (fma.f32 -4/3 (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) -2/3)) (.f32 (pow.f32 (PI.f32) 6) -8/27))))))))))
(+.f32 (fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) 1) (fma.f32 (pow.f32 u2 6) (fma.f32 1/3 (-.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (fma.f32 (.f32 -4/3 (.f32 -2/3 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 6) -8/27))) (+.f32 (.f32 2/3 (-.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (fma.f32 (.f32 -4/3 (.f32 -2/3 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 6) -8/27)))) (.f32 (pow.f32 (PI.f32) 2) (+.f32 (.f32 -2/3 (fma.f32 4/9 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) -4/9))) (.f32 (.f32 -2/3 (pow.f32 (PI.f32) 4)) -8/9))))) (.f32 (+.f32 (fma.f32 (pow.f32 (PI.f32) 4) 8/9 (.f32 (pow.f32 (PI.f32) 4) -2/9)) (fma.f32 4/9 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 (PI.f32) 4) -4/9))) (pow.f32 u2 4))))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2)) (fma.f32 (fma.f32 4/9 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 2/9)) (pow.f32 u2 4) (fma.f32 (pow.f32 u2 6) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 -2/3 (+.f32 (.f32 (pow.f32 (PI.f32) 4) 0) (.f32 (pow.f32 (PI.f32) 4) -8/9))) (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 6) 28/135) (.f32 -4/3 (.f32 (pow.f32 (PI.f32) 6) 2/3))) 1)) 1)))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) -2) (fma.f32 (.f32 (pow.f32 (PI.f32) 4) 2/3) (pow.f32 u2 4) (fma.f32 (pow.f32 u2 6) (+.f32 (fma.f32 (pow.f32 (PI.f32) 6) 28/135 (.f32 -4/3 (.f32 2/3 (pow.f32 (PI.f32) 6)))) (.f32 (*.f32 -2/3 (pow.f32 (PI.f32) 6)) -8/9)) 1)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 u2 u2) 1)
(fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) 1)
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2)) 1)
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) -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 (fma.f32 (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 u2 u2) 1) (.f32 (fma.f32 4/9 (pow.f32 (PI.f32) 4) (fma.f32 2/3 (.f32 (pow.f32 (PI.f32) 4) -2/3) (fma.f32 8/9 (pow.f32 (PI.f32) 4) (.f32 (.f32 (pow.f32 (PI.f32) 4) -2/3) 1/3)))) (pow.f32 u2 4)))
(fma.f32 (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 u2 u2) (fma.f32 (+.f32 (fma.f32 (pow.f32 (PI.f32) 4) 8/9 (.f32 (pow.f32 (PI.f32) 4) -2/9)) (fma.f32 4/9 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) -4/9))) (pow.f32 u2 4) 1))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2)) (fma.f32 (fma.f32 4/9 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 (PI.f32) 4) 2/9)) (pow.f32 u2 4) 1))
(fma.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) -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 (PI.f32) 4) (pow.f32 u2 4)) (fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (fma.f32 2/3 (.f32 (pow.f32 (PI.f32) 4) (pow.f32 u2 4)) (fma.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) -2)))))
(fma.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 u2 4)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 -2))) (fma.f32 (pow.f32 u2 6) (*.f32 -4/45 (pow.f32 (PI.f32) 6)) 1)))
(+.f32 (fma.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) -2) 1) (fma.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 u2 4)) (.f32 (pow.f32 (PI.f32) 6) (*.f32 (pow.f32 u2 6) -4/45))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 1 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3/2) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3/2))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cbrt.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(-.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 (.f32 (PI.f32) (+.f32 u2 u2))) 1)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 1 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))

eval470.0ms (3.7%)

Compiler: Compiled 25420 to 17344 computations (31.8% saved)

prune214.0ms (1.7%)

Pruning

57 alts after pruning (49 fresh and 8 done)

	Pruned	Kept	Total
New	814	13	827
Fresh	4	36	40
Picked	0	1	1
Done	2	7	9
Total	820	57	877

Error

0.0b

Counts

877 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	8.3b	(pow.f32 (/.f32 (pow.f32 (log1p.f32 u1) -1/2) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) -1)
	8.3b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (pow.f32 (log1p.f32 u1) -1/2))
	8.3b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (/.f32 1 (log1p.f32 u1))))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (+.f32 (.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.0b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	20.2b	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 1/4) 2) 1)
	11.1b	(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
	12.9b	(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1) 2) 1)
	11.7b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	14.5b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	14.2b	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	2.9b	(.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)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) (log.f32 (exp.f32 (cos.f32 0))))
	8.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	6.5b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 0) 1)) 2) (cbrt.f32 (+.f32 (cos.f32 0) 1)) -1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	1.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2)) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) 3))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (neg.f32 (pow.f32 (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32)))))) 2))) 1))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (neg.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))) 1))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (neg.f32 (log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (-.f32 (+.f32 1 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))))
✓	5.8b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.8b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	11.1b	(*.f32 (sqrt.f32 u1) 1)
	30.6b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	11.9b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	26.6b	(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) (log.f32 u1)) 3/2)) 1)
	20.2b	(*.f32 (cbrt.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2)) 1)
	11.1b	(*.f32 (cbrt.f32 (pow.f32 u1 3/2)) 1)
	11.6b	(sqrt.f32 (log1p.f32 u1))
	20.2b	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 967 to 809 computations (16.3% saved)

regimes308.0ms (2.4%)

Counts

78 → 1

Calls

Call 1

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

Calls

10 calls:

39.0ms	u1
34.0ms	(.f32 (.f32 2 (PI.f32)) u2)
33.0ms	u2
31.0ms	(log.f32 (-.f32 1 u1))
31.0ms	cosTheta_i

Results

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

Compiler

Compiled 1214 to 668 computations (45% saved)

regimes187.0ms (1.5%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

10 calls:

22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
21.0ms	u1
20.0ms	u2
19.0ms	(log.f32 (-.f32 1 u1))
19.0ms	(-.f32 1 u1)

Results

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

Compiler

Compiled 604 to 413 computations (31.6% saved)

regimes145.0ms (1.2%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

10 calls:

16.0ms	u1
16.0ms	(.f32 (.f32 2 (PI.f32)) u2)
16.0ms	u2
16.0ms	cosTheta_i
15.0ms	(-.f32 1 u1)

Results

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

Compiler

Compiled 449 to 321 computations (28.5% saved)

regimes188.0ms (1.5%)

Counts

29 → 2

Calls

Call 1

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

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:

26.0ms	(.f32 (.f32 2 (PI.f32)) u2)
25.0ms	u2
25.0ms	u1
23.0ms	(-.f32 1 u1)
23.0ms	(log.f32 (-.f32 1 u1))

Results

Error	Segments	Branch
2.9b	1	`cosTheta_i`
1.3b	2	`u1`
1.3b	2	`u2`
1.3b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
1.3b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
1.3b	2	`(log.f32 (-.f32 1 u1))`
1.3b	2	`(-.f32 1 u1)`
1.3b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.3b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 338 to 250 computations (26% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00021039231796748936	0.00022466082009486854

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes177.0ms (1.4%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

9 calls:

28.0ms	(-.f32 1 u1)
23.0ms	(.f32 (.f32 2 (PI.f32)) u2)
23.0ms	u2
22.0ms	u1
21.0ms	(log.f32 (-.f32 1 u1))

Results

Error	Segments	Branch
4.0b	1	`cosTheta_i`
1.7b	2	`u1`
1.6b	2	`u2`
1.7b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
1.7b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
1.7b	2	`(log.f32 (-.f32 1 u1))`
1.7b	2	`(-.f32 1 u1)`
1.6b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 289 to 221 computations (23.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.004706263542175293	0.004791323561221361

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes389.0ms (3.1%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

9 calls:

209.0ms	(log.f32 (-.f32 1 u1))
45.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
24.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u2
21.0ms	u1

Results

Error	Segments	Branch
5.8b	1	`cosTheta_i`
3.4b	2	`u1`
2.7b	2	`u2`
3.4b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
3.4b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
3.4b	2	`(log.f32 (-.f32 1 u1))`
3.4b	2	`(-.f32 1 u1)`
2.7b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.7b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 273 to 210 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.009683105163276196	0.009797453880310059

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes139.0ms (1.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

58.0ms	cosTheta_i
27.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
13.0ms	u1
11.0ms	(-.f32 1 u1)
10.0ms	(log.f32 (-.f32 1 u1))

Results

Error	Segments	Branch
5.8b	1	`cosTheta_i`
5.8b	1	`u1`
5.8b	1	`u2`
5.8b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
5.8b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
5.8b	1	`(log.f32 (-.f32 1 u1))`
5.8b	1	`(-.f32 1 u1)`

Compiler

Compiled 221 to 170 computations (23.1% saved)

regimes19.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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:

6.0ms	u1
5.0ms	u2
5.0ms	cosTheta_i

Results

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

Compiler

Compiled 90 to 65 computations (27.8% saved)

regimes13.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes12.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	cosTheta_i
3.0ms	u2
3.0ms	u1

Results

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
11.1b	1	`cosTheta_i`
11.1b	1	`u1`
11.1b	1	`u2`

Compiler

Compiled 25 to 20 computations (20% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

262×	`distribute-lft-neg-in`
232×	`*-commutative`
128×	`+-commutative`
114×	`distribute-rgt-neg-in`
110×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	569
1	155	565
2	234	561
3	356	541
4	476	541
5	584	541
6	634	541
7	653	541
8	661	541
9	668	541
10	683	541
11	714	541
12	739	541
13	750	541
14	752	541

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (neg.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))) 1))
(.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) 15118285/68719476736) (.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) 10200547/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 162739/16777216) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 u1) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (neg.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))) 1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 2 (neg.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 2 (/.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 1 (.f32 (/.f32 (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) -1) 2) -2)))
(.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) 15118285/68719476736) (.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) 15118285/68719476736) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 15118285/68719476736) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (+.f32 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 15118285/68719476736) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 (neg.f32 u1)) (+.f32 -1/2 (.f32 u1 -1/3)))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 15118285/68719476736) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (+.f32 (neg.f32 (.f32 u1 (*.f32 u1 -1/2))) u1))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (+.f32 u1 (.f32 u1 (*.f32 (neg.f32 u1) -1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 -1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 162739/16777216) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 162739/16777216) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (*.f32 2 (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 (neg.f32 u1)) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 (+.f32 (.f32 u1 1/4) 1/3)) 1/2))))
(.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 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 (neg.f32 u1)) (+.f32 -1/2 (*.f32 u1 -1/3)))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
(.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 (neg.f32 (.f32 (.f32 u1 u1) -1/2)) u1))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) 1/2)))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)

Compiler

Compiled 206 to 164 computations (20.4% saved)

soundness125.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 113 to 74 computations (34.5% saved)

end89.0ms (0.7%)

Compiler: Compiled 176 to 103 computations (41.5% 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	86	569
1	155	565
2	234	561
3	356	541
4	476	541
5	584	541
6	634	541
7	653	541
8	661	541
9	668	541
10	683	541
11	714	541
12	739	541
13	750	541
14	752	541

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	86	569
1	155	565
2	234	561
3	356	541
4	476	541
5	584	541
6	634	541
7	653	541
8	661	541
9	668	541
10	683	541
11	714	541
12	739	541
13	750	541
14	752	541

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	86	569
1	155	565
2	234	561
3	356	541
4	476	541
5	584	541
6	634	541
7	653	541
8	661	541
9	668	541
10	683	541
11	714	541
12	739	541
13	750	541
14	752	541