Details

analyze218.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.8s (22.7%)

Results

2.8s	8256×	body	256	valid
0.0ms	1×	body	256	precondition

Bogosity

preprocess66.0ms (0.5%)

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))))
▶	13.4b	(.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)

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.2b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.0b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series32.0ms (0.3%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite125.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	339	80
2	4100	80

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1486×	`associate-/r/`
794×	`associate-r`
730×	`associate-l`
620×	`+-commutative`
578×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	7214
1	1169	6360
2	5192	6234

Stop Event

1×	node limit

Counts

196 → 268

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

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

localize82.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 19 computations (59.6% saved)

series12.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

rewrite122.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`unswap-sqr`
864×	`swap-sqr`
434×	`distribute-rgt-in`
392×	`distribute-lft-in`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	323	70
2	3935	70

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

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

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-*r/`
1042×	`associate-r`
982×	`associate-l`
710×	`+-commutative`
614×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	9241
1	1176	8077
2	5814	7993

Stop Event

1×	node limit

Counts

185 → 255

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

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

eval298.0ms (2.4%)

Compiler: Compiled 14752 to 9048 computations (38.7% saved)

prune231.0ms (1.9%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	492	31	523
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	492	33	525

Error

0.1b

Counts

525 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	8.1b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.1b	(.f32 (.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.1b	(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))) (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)))
	2.2b	(.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)))
	3.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.3b	(.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 (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 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	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))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	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))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
▶	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
	16.5b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
▶	8.0b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	9.1b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
	9.6b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))

Compiler

Compiled 1283 to 1001 computations (22% saved)

localize90.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	0.2b	(cos.f32 (.f32 2 (exp.f32 (log.f32 (.f32 (PI.f32) u2)))))
	0.3b	(*.f32 (PI.f32) u2)
✓	1.4b	(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

Compiler

Compiled 62 to 21 computations (66.1% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`unswap-sqr`
878×	`swap-sqr`
570×	`distribute-rgt-in`
530×	`distribute-lft-in`
344×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	351	61
2	4117	61

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs

(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

(cos.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2)))))

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (+.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 1 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (*.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) (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 (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 2))))))) (#(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 2)))))))) (#(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 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 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simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1798×	`associate-/l*`
1446×	`associate-/r*`
836×	`associate-r`
756×	`associate-l`
666×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	7277
1	962	6537
2	4342	6453

Stop Event

1×	node limit

Counts

151 → 214

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

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

localize43.0ms (0.3%)

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))

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 92

Calls

Call 1

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

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

localize97.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

series24.0ms (0.2%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	u2	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	-inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite123.0ms (1%)

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	50
1	323	44
2	3775	44

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

968×	`associate-/r*`
774×	`associate-/l*`
770×	`associate-*r/`
670×	`distribute-lft-in`
640×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	6276
1	1001	5344
2	3305	5024

Stop Event

1×	node limit

Counts

84 → 160

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

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 21 computations (66.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite122.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`*-commutative`
836×	`sqrt-prod`
682×	`unswap-sqr`
566×	`swap-sqr`
394×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	238	41
2	2581	41

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

simplify143.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-/r*`
924×	`+-commutative`
750×	`associate-+r-`
724×	`associate-r`
648×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	8606
1	1062	7426
2	5084	6926

Stop Event

1×	node limit

Counts

194 → 278

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

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

localize92.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.2b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.3b	(log1p.f32 (fma.f32 u1 u1 u1))

Compiler

Compiled 99 to 56 computations (43.4% saved)

series45.0ms (0.4%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite139.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`associate-*r/`
722×	`associate-*l/`
454×	`add-sqr-sqrt`
438×	`*-un-lft-identity`
432×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	455	70
2	5563	70

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(log1p.f32 (fma.f32 u1 u1 u1))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs

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

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-def`
990×	`+-commutative`
834×	`*-commutative`
672×	`unswap-sqr`
464×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	5519
1	612	4731
2	2222	4409
3	7160	4409

Stop Event

1×	node limit

Counts

69 → 144

Calls

Call 1

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

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

eval995.0ms (8%)

Compiler: Compiled 34324 to 20786 computations (39.4% saved)

prune358.0ms (2.9%)

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	1137	25	1162
Fresh	6	20	26
Picked	1	0	1
Done	1	5	6
Total	1145	50	1195

Error

0.0b

Counts

1195 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	8.0b	(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
	8.0b	(+.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))))
▶	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	11.8b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	8.1b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.9b	(*.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)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	2.2b	(.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)))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	3.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) 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)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (fma.f32 u1 (.f32 u1 1/2) u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	11.3b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	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 (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)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.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 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
	16.5b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	30.4b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	12.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	8.0b	(.f32 (cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/4)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	8.0b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.8b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	8.3b	(.f32 (cbrt.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.0b	(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3)))))
	9.1b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
	11.8b	(sqrt.f32 (log1p.f32 u1))
	20.0b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	9.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 1721 to 1384 computations (19.6% saved)

localize96.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	0.3b	(*.f32 u2 (PI.f32))
✓	0.4b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
✓	29.2b	(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))

Compiler

Compiled 143 to 38 computations (73.4% saved)

series3.0ms (0%)

Counts

4 → 28

Calls

12 calls:

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

rewrite126.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`unswap-sqr`
776×	`swap-sqr`
612×	`associate-*r/`
484×	`associate-*l/`
442×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	310	86
2	3906	50

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

288×	`*-commutative`
278×	`associate-r`
272×	`fma-def`
266×	`associate-l`
152×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	4320
1	1126	4320
2	2861	4320

Stop Event

1×

unsound

Counts

160 → 143

Calls

Call 1

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

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

localize20.0ms (0.2%)

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

localize36.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

series28.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
4.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
1.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
0.0ms	u1	@	inf	(log1p.f32 u1)
0.0ms	u1	@	-inf	(log1p.f32 u1)

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 129

Calls

Call 1

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

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

localize127.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (-.f32 1 u1))
	0.2b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.9b	(log.f32 (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 74 to 58 computations (21.6% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`add-sqr-sqrt`
1480×	`*-un-lft-identity`
1376×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1354×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	156	26
2	1860	26

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(log.f32 (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))

Outputs

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

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-r`
1200×	`associate-+r+`
1180×	`associate-+l+`
1104×	`associate-l`
1002×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1213
1	288	1083
2	1003	949
3	4612	949

Stop Event

1×	node limit

Counts

55 → 78

Calls

Call 1

Inputs
(*.f32 -1/2 u1)
(+.f32 (.f32 -1/4 (pow.f32 u1 2)) (.f32 -1/2 u1))
(+.f32 (.f32 -1/6 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 (pow.f32 u1 2)) (*.f32 -1/2 u1)))
(+.f32 (.f32 -1/6 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 (pow.f32 u1 2)) (+.f32 (.f32 -1/2 u1) (.f32 -1/8 (pow.f32 u1 4)))))
1
(+.f32 1 (*.f32 -1/2 u1))
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/2 u1)))
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1))))
(+.f32 0 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(+.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))
(-.f32 (+.f32 1 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 1 (.f32 1/2 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 2))
(cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1))
(log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))
(+.f32 1 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1))) 1)
(*.f32 1 (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 1/2))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(pow.f32 (-.f32 1 u1) 1/2)
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2)) (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(fabs.f32 (sqrt.f32 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))

Outputs
(*.f32 -1/2 u1)
(+.f32 (.f32 -1/4 (pow.f32 u1 2)) (.f32 -1/2 u1))
(fma.f32 -1/4 (.f32 u1 u1) (.f32 -1/2 u1))
(fma.f32 -1/2 u1 (.f32 -1/4 (.f32 u1 u1)))
(.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))
(+.f32 (.f32 -1/6 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 (pow.f32 u1 2)) (*.f32 -1/2 u1)))
(fma.f32 -1/6 (pow.f32 u1 3) (fma.f32 -1/4 (.f32 u1 u1) (.f32 -1/2 u1)))
(fma.f32 -1/6 (pow.f32 u1 3) (fma.f32 -1/2 u1 (.f32 -1/4 (.f32 u1 u1))))
(fma.f32 -1/2 u1 (.f32 (.f32 u1 u1) (+.f32 -1/4 (*.f32 u1 -1/6))))
(+.f32 (.f32 -1/6 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 (pow.f32 u1 2)) (+.f32 (.f32 -1/2 u1) (.f32 -1/8 (pow.f32 u1 4)))))
(fma.f32 -1/6 (pow.f32 u1 3) (fma.f32 -1/4 (.f32 u1 u1) (fma.f32 -1/2 u1 (.f32 -1/8 (pow.f32 u1 4)))))
(fma.f32 -1/6 (pow.f32 u1 3) (fma.f32 -1/8 (pow.f32 u1 4) (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))
1
(+.f32 1 (*.f32 -1/2 u1))
(+.f32 (*.f32 -1/2 u1) 1)
(fma.f32 -1/2 u1 1)
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/2 u1)))
(+.f32 1 (fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/2 u1)))
(+.f32 1 (fma.f32 (.f32 u1 u1) -1/8 (.f32 -1/2 u1)))
(fma.f32 -1/2 u1 (fma.f32 (*.f32 u1 u1) -1/8 1))
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1))))
(+.f32 1 (fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/16 (pow.f32 u1 3) (.f32 -1/2 u1))))
(+.f32 1 (fma.f32 (.f32 u1 u1) -1/8 (fma.f32 -1/2 u1 (.f32 (pow.f32 u1 3) -1/16))))
(+.f32 1 (fma.f32 -1/2 u1 (.f32 (.f32 u1 u1) (+.f32 -1/8 (*.f32 u1 -1/16)))))
(+.f32 0 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(+.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(-.f32 (+.f32 1 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 1 (.f32 1/2 (log1p.f32 (neg.f32 u1))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3) 1/3)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))
(log1p.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 1 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(-.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1))) 1)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(*.f32 1 (sqrt.f32 (-.f32 1 u1)))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(*.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (fabs.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (fabs.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 u1 1)))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(pow.f32 (-.f32 1 u1) 1/2)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) 3)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2)) (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(fabs.f32 (sqrt.f32 (-.f32 1 u1)))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) 0)
(sqrt.f32 (-.f32 1 u1))

localize158.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.2b	(log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	0.3b	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)

Compiler

Compiled 76 to 19 computations (75% saved)

series25.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	inf	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
12.0ms	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	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))

rewrite334.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`*-commutative`
784×	`associate-*r/`
620×	`associate-*l/`
596×	`swap-sqr`
484×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	270	61
2	3232	19

Stop Event

1×	node limit

Counts

3 → 198

Calls

Call 1

Inputs
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
(log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))

Outputs

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

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1296×	`fma-def`
1086×	`+-commutative`
894×	`associate--r+`
672×	`*-commutative`
670×	`associate--l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	346	1896
1	1251	1754
2	2308	1676
3	5115	1660
4	6717	1660

Stop Event

1×	node limit

Counts

234 → 163

Calls

Call 1

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

Outputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (.f32 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 (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1) (.f32 (fma.f32 (pow.f32 (PI.f32) 4) 1/2 (.f32 (pow.f32 (PI.f32) 4) -1/6)) (*.f32 2 (pow.f32 u2 4))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 (.f32 2 (pow.f32 u2 4)) (.f32 (pow.f32 (PI.f32) 4) 1/3) 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 (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1) (.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))))))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 2 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 1/3) (.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))))) 1))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 2 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 1/3) (.f32 (pow.f32 u2 6) (fma.f32 -1/24 (.f32 (pow.f32 (PI.f32) 6) -4) (.f32 (pow.f32 (PI.f32) 6) -19/90)))) 1))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(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))))
(fma.f32 (neg.f32 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2) (log.f32 2))
(fma.f32 (pow.f32 (PI.f32) 2) (neg.f32 (*.f32 u2 u2)) (log.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 (fma.f32 (neg.f32 (.f32 u2 u2)) (pow.f32 (PI.f32) 2) (log.f32 2)) (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) -1/6)))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -1/6) (fma.f32 (pow.f32 (PI.f32) 2) (neg.f32 (.f32 u2 u2)) (log.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)))
(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) (fma.f32 (pow.f32 (PI.f32) 2) (neg.f32 (*.f32 u2 u2)) (log.f32 2))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))
(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
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1
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(/.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))))
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1
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1
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1
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1
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1
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1
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1
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1
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1
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1

eval584.0ms (4.7%)

Compiler: Compiled 21234 to 14273 computations (32.8% saved)

prune293.0ms (2.4%)

Pruning

60 alts after pruning (52 fresh and 8 done)

	Pruned	Kept	Total
New	658	14	672
Fresh	2	38	40
Picked	0	1	1
Done	2	7	9
Total	662	60	722

Error

0.0b

Counts

722 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	8.0b	(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
	8.0b	(+.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))))
✓	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	20.0b	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
	11.6b	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
▶	11.6b	(*.f32 (pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3) 1)
	8.1b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.9b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	14.3b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	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)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	2.2b	(.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)))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	3.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) 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)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (-.f32 (+.f32 1 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) 1))
✓	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	17.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
	7.3b	(.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)))) (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 (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)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.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 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (expm1.f32 (log1p.f32 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	7.3b	(*.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))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
	16.5b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
▶	11.3b	(*.f32 (sqrt.f32 u1) 1)
	30.4b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	12.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	8.0b	(.f32 (cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/4)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	8.0b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.8b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	8.3b	(.f32 (cbrt.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.0b	(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3)))))
	9.1b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
	11.8b	(sqrt.f32 (log1p.f32 u1))
	20.0b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	9.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 2071 to 1683 computations (18.7% saved)

localize122.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 u2 (PI.f32))
	0.4b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
✓	0.5b	(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
✓	29.2b	(fma.f32 (neg.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))

Compiler

Compiled 175 to 63 computations (64% saved)

series53.0ms (0.4%)

Counts

2 → 1

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	u2	@	-inf	(fma.f32 (neg.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
2.0ms	u2	@	inf	(fma.f32 (neg.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
1.0ms	u2	@	0	(fma.f32 (neg.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
0.0ms	u2	@	-inf	(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
0.0ms	u2	@	inf	(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`*-commutative`
758×	`unswap-sqr`
614×	`swap-sqr`
458×	`sqr-pow`
442×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	328	52
2	3351	10

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(fma.f32 (neg.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)

Outputs

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

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1744×	`distribute-rgt-in`
1728×	`distribute-lft-in`
1358×	`associate-r`
1194×	`associate-/r*`
1102×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	953
1	255	869
2	635	869
3	3531	869

Stop Event

1×	node limit

Counts

49 → 59

Calls

Call 1

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

localize11.0ms (0.1%)

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

localize56.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (pow.f32 u1 3))
✓	1.4b	(pow.f32 (sqrt.f32 (pow.f32 u1 3)) 1/3)

Compiler

Compiled 28 to 23 computations (17.9% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

50 → 63

Calls

Call 1

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

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

localize50.0ms (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

rewrite87.0ms (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)))))

simplify17.0ms (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

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.2b	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	0.3b	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)

Compiler

Compiled 66 to 18 computations (72.7% saved)

series14.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	-inf	(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)
2.0ms	u2	@	0	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
0.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`associate-*r/`
528×	`distribute-rgt-in`
528×	`associate-*l/`
480×	`distribute-lft-in`
358×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	373	52
2	4541	24

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1614×	`fma-def`
1462×	`associate-/l/`
998×	`*-commutative`
558×	`times-frac`
542×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3654
1	694	3124
2	2284	2652
3	7142	2652

Stop Event

1×	node limit

Counts

70 → 106

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

Outputs
1
(+.f32 (.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 (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 (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 (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 (.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 (.f32 (pow.f32 (PI.f32) 2) -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 -4/3 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2/3 (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 (PI.f32) 6) -8/27))) (+.f32 (.f32 2/3 (-.f32 (.f32 -4/45 (pow.f32 (PI.f32) 6)) (fma.f32 -4/3 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2/3 (pow.f32 (PI.f32) 4))) (.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 -8/9 (pow.f32 (PI.f32) 4)) -2/3))))) (.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 (.f32 u2 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)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 1 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (sqrt.f32 -1) u1)) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (/.f32 u1 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (sqrt.f32 -1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.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) (log.f32 u1))))) 2))) u1) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1))))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (sqrt.f32 -1) u1)) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) u1)) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (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))))))))
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(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 3))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))

eval243.0ms (2%)

Compiler: Compiled 14861 to 8854 computations (40.4% saved)

prune165.0ms (1.3%)

Pruning

77 alts after pruning (65 fresh and 12 done)

	Pruned	Kept	Total
New	493	19	512
Fresh	1	46	47
Picked	0	1	1
Done	1	11	12
Total	495	77	572

Error

0.0b

Counts

572 → 77

Alt Table

Click to see full alt table

Status	Error	Program
	8.0b	(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
	8.0b	(+.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))))
	12.0b	(*.f32 (pow.f32 (pow.f32 (pow.f32 u1 9/2) 1/3) 1/3) 1)
✓	12.1b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	20.0b	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3) 1)
	11.6b	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	24.0b	(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 u1 3/2)) 1) 1/3) 1)
	23.4b	(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 u1 3/2) 1)) 1/3) 1)
	11.6b	(.f32 (pow.f32 (.f32 (sqrt.f32 u1) u1) 1/3) 1)
	11.6b	(.f32 (pow.f32 (exp.f32 (.f32 (log.f32 u1) 3/2)) 1/3) 1)
	11.9b	(*.f32 (pow.f32 (cbrt.f32 (pow.f32 u1 9/2)) 1/3) 1)
	8.1b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.9b	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	11.3b	(*.f32 (pow.f32 (cbrt.f32 u1) 3/2) 1)
	14.3b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	13.9b	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 u1)) 1) 1)
	13.7b	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 u1) 1)) 1)
	11.6b	(.f32 (.f32 (pow.f32 (*.f32 u1 u1) 1/6) (pow.f32 u1 1/6)) 1)
	11.5b	(.f32 (.f32 (pow.f32 u1 1/6) (cbrt.f32 u1)) 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)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) (log.f32 (exp.f32 (cos.f32 0))))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	8.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (log.f32 (exp.f32 (cos.f32 0))))
	2.2b	(.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)))
	7.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	3.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) 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)
	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (-.f32 (+.f32 1 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) 1))
✓	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	17.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
	7.3b	(.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)))) (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 (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)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.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 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (PI.f32) (cbrt.f32 u2))))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 2 (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (expm1.f32 (log1p.f32 (.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	7.3b	(*.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))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	6.9b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
	16.5b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
✓	11.3b	(*.f32 (sqrt.f32 u1) 1)
	30.4b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	14.0b	(*.f32 (log.f32 (exp.f32 (sqrt.f32 u1))) 1)
	11.6b	(.f32 (exp.f32 (.f32 (*.f32 3 (log.f32 u1)) 1/6)) 1)
	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	12.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	11.6b	(*.f32 (exp.f32 (log.f32 (sqrt.f32 u1))) 1)
	8.0b	(.f32 (cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/4)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	8.0b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (cbrt.f32 (exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.0b	(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3)))))
	9.1b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
	11.8b	(sqrt.f32 (log1p.f32 u1))
	20.0b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	9.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	11.8b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 1355 to 1106 computations (18.4% saved)

regimes370.0ms (3%)

Counts

91 → 1

Calls

Call 1

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

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

Calls

10 calls:

49.0ms	u1
40.0ms	(.f32 (.f32 2 (PI.f32)) u2)
38.0ms	u2
37.0ms	(log.f32 (-.f32 1 u1))
36.0ms	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 1438 to 830 computations (42.3% saved)

regimes152.0ms (1.2%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

9 calls:

22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
20.0ms	u2
17.0ms	(log.f32 (-.f32 1 u1))
17.0ms	u1
16.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
2.2b	1	`cosTheta_i`
2.2b	1	`u1`
2.2b	1	`u2`
2.2b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.2b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.2b	1	`(log.f32 (-.f32 1 u1))`
2.2b	1	`(-.f32 1 u1)`
2.2b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.2b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 418 to 318 computations (23.9% saved)

regimes181.0ms (1.5%)

Counts

37 → 2

Calls

Call 1

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

Calls

9 calls:

31.0ms	(.f32 (.f32 2 (PI.f32)) u2)
31.0ms	u2
23.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
19.0ms	cosTheta_i
16.0ms	u1

Results

Error	Segments	Branch
3.3b	1	`cosTheta_i`
3.3b	1	`u1`
1.9b	2	`u2`
3.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
3.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
3.3b	1	`(log.f32 (-.f32 1 u1))`
3.3b	1	`(-.f32 1 u1)`
1.9b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 390 to 300 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.0009085889905691147	0.0009462089510634542

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes176.0ms (1.4%)

Counts

36 → 2

Calls

Call 1

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

Calls

9 calls:

31.0ms	u2
30.0ms	(.f32 (.f32 2 (PI.f32)) u2)
23.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
18.0ms	u1
15.0ms	cosTheta_i

Results

Error	Segments	Branch
3.3b	1	`cosTheta_i`
3.3b	1	`u1`
1.9b	2	`u2`
3.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
3.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
3.3b	1	`(log.f32 (-.f32 1 u1))`
3.3b	1	`(-.f32 1 u1)`
1.9b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 372 to 286 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999995231628418	0.9999995827674866

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes225.0ms (1.8%)

Counts

35 → 2

Calls

Call 1

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

31.0ms	u1
29.0ms	(.f32 (.f32 2 (PI.f32)) u2)
29.0ms	u2
27.0ms	(-.f32 1 u1)
27.0ms	(log.f32 (-.f32 1 u1))

Results

Error	Segments	Branch
6.9b	1	`cosTheta_i`
4.4b	2	`u1`
3.3b	2	`u2`
4.4b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
4.4b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
4.4b	2	`(log.f32 (-.f32 1 u1))`
4.4b	2	`(-.f32 1 u1)`
3.3b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.3b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 356 to 275 computations (22.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.0044605606235563755	0.00461069168522954

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes101.0ms (0.8%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	u1
15.0ms	cosTheta_i
15.0ms	u2
14.0ms	(log.f32 (-.f32 1 u1))
14.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
6.9b	1	`cosTheta_i`
6.9b	1	`u1`
6.9b	1	`u2`
6.9b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
6.9b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
6.9b	1	`(log.f32 (-.f32 1 u1))`
6.9b	1	`(-.f32 1 u1)`

Compiler

Compiled 317 to 244 computations (23% saved)

regimes201.0ms (1.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

187.0ms	u1
6.0ms	u2
6.0ms	cosTheta_i

Results

Error	Segments	Branch
7.6b	1	`cosTheta_i`
7.6b	1	`u1`
7.6b	1	`u2`

Compiler

Compiled 106 to 77 computations (27.4% saved)

regimes52.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	cosTheta_i
4.0ms	u2
4.0ms	u1

Results

Error	Segments	Branch
7.9b	1	`cosTheta_i`
7.9b	1	`u1`
7.9b	1	`u2`

Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes15.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 52 to 40 computations (23.1% saved)

regimes13.0ms (0.1%)

Accuracy

Total -2.7b remaining (-23.9%)

Threshold costs -2.7b (-23.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	u2
4.0ms	u1
3.0ms	cosTheta_i

Results

Error	Segments	Branch
11.3b	1	`cosTheta_i`
11.3b	1	`u1`
11.3b	1	`u2`

Compiler

Compiled 41 to 32 computations (22% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

200×	`distribute-lft-neg-in`
198×	`*-commutative`
96×	`+-commutative`
92×	`distribute-rgt-neg-in`
82×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	500
1	137	500
2	203	496
3	312	480
4	437	480
5	546	480
6	585	480
7	591	480

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.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) 1975685/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2097151/2097152) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 2415919/536870912) (.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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 1975685/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 1975685/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 -2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 1975685/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4))) -2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 1975685/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 2 (.f32 u1 (+.f32 (.f32 u1 1/4) 1/2))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2097151/2097152) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2097151/2097152) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2097151/2097152) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 u1 (*.f32 (neg.f32 u1) -1/2))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2097151/2097152) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 u1 (*.f32 u1 1/2))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 2415919/536870912) (.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 u2 (.f32 2 (PI.f32))) 2415919/536870912) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (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 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))))) u1))
(sqrt.f32 (+.f32 u1 (.f32 (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))) (.f32 u1 (neg.f32 u1)))))
(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 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 u1 (.f32 (.f32 u1 u1) 1/2)))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)

Compiler

Compiled 185 to 146 computations (21.1% saved)

soundness31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

end144.0ms (1.2%)

Compiler: Compiled 158 to 95 computations (39.9% saved)

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

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

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

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

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

Iter	Nodes	Cost
0	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