Details

analyze187.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.7s (18.9%)

Results

2.6s	8256×	body	256	valid
2.0ms	8×	body	256	precondition

Bogosity

preprocess39.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify25.0ms (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

0.4b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	12.7b	(.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)

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	13.4b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series32.0ms (0.2%)

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

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

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

196 → 265

Calls

Call 1

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

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

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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
8.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

189 → 262

Calls

Call 1

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

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

eval336.0ms (2.4%)

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

prune257.0ms (1.8%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	492	35	527
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	492	37	529

Error

0.1b

Counts

529 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	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)))
	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)))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.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)))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
	0.5b	(.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 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 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 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
▶	7.2b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
▶	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 2))
✓	12.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.9b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	8.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	9.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
	10.3b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
▶	8.4b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))

Compiler

Compiled 1365 to 1121 computations (17.9% saved)

localize144.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
✓	0.3b	(*.f32 u2 (PI.f32))
✓	0.3b	(.f32 u2 (.f32 (PI.f32) 2))
✓	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 105 to 56 computations (46.7% saved)

series9.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`associate-*r/`
494×	`add-sqr-sqrt`
478×	`*-un-lft-identity`
474×	`pow1`
454×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	120
1	487	112
2	6214	108

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1/2 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))) 2)) (cbrt.f32 (sin.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (+.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (-.f32 (cos.f32 (-.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))) (cos.f32 (+.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (.f32 (PI.f32) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u2 (.f32 (PI.f32) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (.f32 (PI.f32) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 (PI.f32) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) 2) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (PI.f32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u2 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 1/2) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))) (.f32 (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1))) (.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1))) (.f32 1/2 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (sqrt.f32 (log1p.f32 u1))) (.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))) 1)))) (#(struct:change 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simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1086×	`associate-/l*`
734×	`+-commutative`
646×	`associate-/r*`
616×	`associate-+r+`
594×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	9481
1	1084	8209
2	4209	7947

Stop Event

1×	node limit

Counts

131 → 205

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 10 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 92

Calls

Call 1

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

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

localize104.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.2b	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 47 to 27 computations (42.6% saved)

series59.0ms (0.4%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
7.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
2.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms	u1	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 158

Calls

Call 1

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

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

localize93.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 25 computations (60.3% saved)

series19.0ms (0.1%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	inf	(.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3))
3.0ms	u1	@	-inf	(.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3))
3.0ms	u2	@	-inf	(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u2	@	inf	(.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3))

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`unswap-sqr`
890×	`swap-sqr`
562×	`associate-*r/`
452×	`distribute-lft-in`
450×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	92
1	337	92
2	4085	50

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (cos.f32 0)) (.f32 (.f32 1/2 (cos.f32 0)) (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (cos.f32 0) 1/2) (.f32 (cos.f32 0) (.f32 1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cos.f32 0) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (cos.f32 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 0)) (.f32 (sqrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cos.f32 0) 3/2) (pow.f32 (cos.f32 0) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (.f32 (cbrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cos.f32 0) 2) (cos.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cos.f32 0) 2) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cos.f32 0) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3) (pow.f32 (sqrt.f32 (cos.f32 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3) (cos.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (pow.f32 (cos.f32 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3/2)) (.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 3/2) (pow.f32 (cbrt.f32 (cos.f32 0)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cos.f32 0) 3/4) (sqrt.f32 (pow.f32 (cos.f32 0) 3/2))) (.f32 (pow.f32 (cos.f32 0) 3/4) (sqrt.f32 (pow.f32 (cos.f32 0) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3/2) (sqrt.f32 (pow.f32 (cos.f32 0) 3/2))) (.f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3/2) (sqrt.f32 (pow.f32 (cos.f32 0) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (pow.f32 (cos.f32 0) 3/2)) (pow.f32 (cos.f32 0) 3/4)) (.f32 (sqrt.f32 (pow.f32 (cos.f32 0) 3/2)) (pow.f32 (cos.f32 0) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3/2) (pow.f32 (cos.f32 0) 3/4)) (.f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3/2) (pow.f32 (cos.f32 0) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (pow.f32 (cos.f32 0) 3/2)) (pow.f32 (sqrt.f32 (cos.f32 0)) 3/2)) (.f32 (sqrt.f32 (pow.f32 (cos.f32 0) 3/2)) (pow.f32 (sqrt.f32 (cos.f32 0)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cos.f32 0) 3/4) (pow.f32 (sqrt.f32 (cos.f32 0)) 3/2)) (.f32 (pow.f32 (cos.f32 0) 3/4) (pow.f32 (sqrt.f32 (cos.f32 0)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 0) (+.f32 (cos.f32 0) (cos.f32 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (cos.f32 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 0) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (cos.f32 0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 0) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (cos.f32 0) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 3 (log.f32 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 3 (log.f32 (cos.f32 0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (cos.f32 0) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 u1) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 u1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (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 (pow.f32 1 3/4) (pow.f32 1 3/4)) (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/4) (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/4)) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))))))) (#(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 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (cos.f32 0)) 1/2) (.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (cos.f32 0)) (.f32 1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (cos.f32 0))) (.f32 (.f32 1/2 (cos.f32 0)) (.f32 (pow.f32 (log1p.f32 u1) 3/2) (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (cos.f32 0)) (+.f32 (cos.f32 0) (cos.f32 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (.f32 (cos.f32 0) (pow.f32 (log1p.f32 u1) 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (cos.f32 0) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (cos.f32 0) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)) (pow.f32 (cos.f32 0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 (cos.f32 0) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3) (pow.f32 (pow.f32 (cos.f32 0) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))))))))

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1360×	`associate-*r/`
1334×	`associate-+r+`
1084×	`associate-*l/`
1072×	`+-commutative`
586×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	7531
1	1537	6813
2	4948	6747

Stop Event

1×	node limit

Counts

139 → 187

Calls

Call 1

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

Outputs
1
(+.f32 1 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -6)))
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -6) 1)
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 4 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))))) (+.f32 1 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (.f32 -2 (pow.f32 (PI.f32) 2))))))
(fma.f32 (pow.f32 u2 4) (fma.f32 4/3 (pow.f32 (PI.f32) 4) (fma.f32 2/3 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 12))) (+.f32 1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -6))))
(fma.f32 (pow.f32 u2 4) (fma.f32 4/3 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 38/3)) (fma.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -6) 1))
(+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 4 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))))) (+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (.f32 -2 (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -16/3 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -2 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (pow.f32 (PI.f32) 6)))))))))
(fma.f32 (pow.f32 u2 4) (fma.f32 4/3 (pow.f32 (PI.f32) 4) (fma.f32 2/3 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 12))) (+.f32 1 (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -6) (.f32 (pow.f32 u2 6) (fma.f32 -16/3 (pow.f32 (PI.f32) 6) (fma.f32 -8/45 (pow.f32 (PI.f32) 6) (fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) 16/3)) (*.f32 (pow.f32 (PI.f32) 6) -4/45))))))))
(+.f32 (fma.f32 (pow.f32 u2 4) (fma.f32 4/3 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 4) 38/3)) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -6) 1)) (.f32 (pow.f32 u2 6) (+.f32 (fma.f32 (.f32 -2 (.f32 (pow.f32 (PI.f32) 4) 16/3)) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 6) -4/45)) (.f32 (pow.f32 (PI.f32) 6) -248/45))))
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 3)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 3)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 3)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 3)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 3)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 3)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 3)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 3)
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(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 (sqrt.f32 (pow.f32 u1 5)) (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 (sqrt.f32 (pow.f32 u1 5)) (*.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 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 -63/128 (sqrt.f32 (pow.f32 u1 9)) (*.f32 19/32 (fabs.f32 (pow.f32 u1 7/2))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.f32 (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (.f32 (sqrt.f32 -1) -3/2) u1)))
(+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (/.f32 (+.f32 (/.f32 9/8 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 3/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (/.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (.f32 (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -3/2 (/.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 3/4 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1)))) u1)) (sqrt.f32 -1))))
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(+.f32 (.f32 1/2 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (cos.f32 0))) (.f32 (.f32 1/2 (cos.f32 0)) (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (cos.f32 0))))
(pow.f32 (log1p.f32 u1) 3/2)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))) 1)
(pow.f32 (log1p.f32 u1) 3/2)
(/.f32 (.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (cos.f32 0)) (+.f32 (cos.f32 0) (cos.f32 0))) 2)
(pow.f32 (log1p.f32 u1) 3/2)
(/.f32 (.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (.f32 (cos.f32 0) (pow.f32 (log1p.f32 u1) 3/2))) 2)
(pow.f32 (log1p.f32 u1) 3/2)
(pow.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1)
(pow.f32 (log1p.f32 u1) 3/2)
(pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (cos.f32 0) 3/2)) 2)
(pow.f32 (log1p.f32 u1) 3/2)
(pow.f32 (*.f32 (cos.f32 0) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 3)
(pow.f32 (log1p.f32 u1) 3/2)
(pow.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)) 3) 1/3)
(pow.f32 (log1p.f32 u1) 3/2)
(sqrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (cos.f32 0) 6)))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)) (pow.f32 (cos.f32 0) 3)))
(pow.f32 (log1p.f32 u1) 3/2)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))))
(pow.f32 (log1p.f32 u1) 3/2)
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)) 3))
(pow.f32 (log1p.f32 u1) 3/2)
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3)))
(pow.f32 (log1p.f32 u1) 3/2)
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3) (pow.f32 (pow.f32 (cos.f32 0) 3) 3)))
(pow.f32 (log1p.f32 u1) 3/2)
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))))
(pow.f32 (log1p.f32 u1) 3/2)
(exp.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))))
(pow.f32 (log1p.f32 u1) 3/2)
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))) 1))
(pow.f32 (log1p.f32 u1) 3/2)
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2))))
(pow.f32 (log1p.f32 u1) 3/2)

localize138.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f32 (.f32 (PI.f32) (.f32 2 u2)))
✓	0.2b	(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2)
✓	0.3b	(.f32 (PI.f32) (.f32 2 u2))
	13.4b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 72 to 54 computations (25% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1970×	`*-un-lft-identity`
1820×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
214×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	240	53
2	2532	53

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

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

Outputs

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

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

simplify233.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-+r+`
1198×	`distribute-lft-in`
1126×	`distribute-rgt-in`
782×	`*-commutative`
664×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	2197
1	271	2141
2	1058	2077
3	3494	2077

Stop Event

1×	node limit

Counts

91 → 59

Calls

Call 1

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

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

eval760.0ms (5.4%)

Compiler: Compiled 36753 to 25269 computations (31.2% saved)

prune352.0ms (2.5%)

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	1021	22	1043
Fresh	4	26	30
Picked	0	1	1
Done	0	6	6
Total	1025	55	1080

Error

0.1b

Counts

1080 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
	8.3b	(/.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
▶	32.0b	(/.f32 1 0)
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.8b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
✓	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	1.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2))
	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)))
	8.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	9.3b	(.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)))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.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)))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.9b	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	0.5b	(.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 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (pow.f32 (sqrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)) 2) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)) 2) 1/2)))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 2) 1/2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1) 1/2)))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 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 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
✓	7.2b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 2))
✓	12.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.9b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
▶	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	30.2b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	8.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	12.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	12.4b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	9.9b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	12.4b	(sqrt.f32 (log1p.f32 u1))
	19.8b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	10.3b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
✓	8.4b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))

Compiler

Compiled 1887 to 1577 computations (16.4% saved)

localize114.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))
	0.3b	(*.f32 u2 (PI.f32))
	0.3b	(.f32 u2 (.f32 (PI.f32) 2))
	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

Compiler

Compiled 126 to 73 computations (42.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))
0.0ms	u2	@	inf	(expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))
0.0ms	u2	@	-inf	(expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`add-sqr-sqrt`
1798×	`*-un-lft-identity`
1662×	`add-cube-cbrt`
1638×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	216	15
2	2280	15

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-def`
790×	`*-commutative`
636×	`distribute-lft-out`
610×	`log-prod`
478×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	770
1	216	766
2	907	754
3	3789	752

Stop Event

1×	node limit

Counts

46 → 39

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.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 32 to 16 computations (50% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`unswap-sqr`
804×	`swap-sqr`
476×	`sqr-pow`
460×	`pow-sqr`
364×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	260	29
2	3077	29

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-r`
1204×	`associate-l`
698×	`associate-+r+`
600×	`associate-+l+`
496×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1594
1	285	1480
2	1007	1418
3	4500	1410

Stop Event

1×	node limit

Counts

36 → 55

Calls

Call 1

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

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

localize102.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.3b	(*.f32 u1 -1/3)
✓	0.3b	(.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))

Compiler

Compiled 138 to 91 computations (34.1% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	0	(.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))
1.0ms	u1	@	inf	(.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))
0.0ms	u1	@	-inf	(.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))
0.0ms	u1	@	inf	(*.f32 u1 -1/3)
0.0ms	u1	@	-inf	(*.f32 u1 -1/3)

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`*-commutative`
742×	`unswap-sqr`
632×	`associate-*r/`
556×	`swap-sqr`
478×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	200	28
2	2601	28

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1200×	`associate-/r*`
956×	`unswap-sqr`
818×	`distribute-rgt-in`
814×	`distribute-lft-in`
686×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	3491
1	632	3075
2	2867	3051

Stop Event

1×	node limit

Counts

93 → 114

Calls

Call 1

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

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

localize119.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f32 (.f32 2 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
✓	0.3b	(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
✓	1.0b	(pow.f32 (PI.f32) 3)

Compiler

Compiled 81 to 52 computations (35.8% saved)

series4.0ms (0%)

Counts

4 → 44

Calls

12 calls:

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

rewrite121.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`swap-sqr`
524×	`distribute-rgt-in`
470×	`distribute-lft-in`
398×	`add-sqr-sqrt`
380×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	416	76
2	4871	76

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 3/2) (pow.f32 (PI.f32) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 (sqrt.f32 (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3/2)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 3/2) (pow.f32 (cbrt.f32 (PI.f32)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (PI.f32) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 3 (log.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 3 (log.f32 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) u2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3) (pow.f32 (pow.f32 u2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 u2 3) 3) (pow.f32 (pow.f32 (PI.f32) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (.f32 (PI.f32) u2) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
((#(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 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simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1722×	`associate-/l*`
1308×	`associate-/r*`
828×	`associate-r`
762×	`associate-l`
670×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	6948
1	915	6238
2	4415	6154

Stop Event

1×	node limit

Counts

146 → 201

Calls

Call 1

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

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

eval462.0ms (3.3%)

Compiler: Compiled 18803 to 11457 computations (39.1% saved)

prune282.0ms (2%)

Pruning

58 alts after pruning (50 fresh and 8 done)

	Pruned	Kept	Total
New	628	17	645
Fresh	10	33	43
Picked	1	0	1
Done	3	8	11
Total	642	58	700

Error

0.1b

Counts

700 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	7.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	7.6b	(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 u1)))
✓	32.0b	(/.f32 1 0)
	7.6b	(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (sqrt.f32 u1)) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 u1)))
	10.7b	(+.f32 (sqrt.f32 u1) (.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 u1)))))
	12.8b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	1.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2))
	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)))
	8.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	9.3b	(.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)))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.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)))
▶	13.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)) 2) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 2) 1/2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1) 1/2)))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 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 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	7.2b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 2))
✓	12.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.9b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
▶	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	7.6b	(.f32 (sqrt.f32 u1) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	7.6b	(.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	30.2b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	12.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	12.4b	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	9.2b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
	12.4b	(sqrt.f32 (log1p.f32 u1))
	19.8b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
▶	11.9b	(sqrt.f32 u1)
	9.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	7.6b	(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 u1 3/2)))

Compiler

Compiled 1984 to 1623 computations (18.2% saved)

localize149.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 u2 (PI.f32))
	0.3b	(.f32 u2 (.f32 (PI.f32) 2))
	0.5b	(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
✓	12.9b	(-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1)

Compiler

Compiled 138 to 85 computations (38.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1)
0.0ms	u2	@	inf	(-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1)
0.0ms	u2	@	-inf	(-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1)

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`*-commutative`
850×	`associate-*r/`
740×	`associate-*l/`
578×	`swap-sqr`
530×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	239	15
2	3058	15

Stop Event

1×	node limit

Counts

1 → 111

Calls

Call 1

Inputs
(-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1)

Outputs

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

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-/r/`
1258×	`associate-/l/`
832×	`associate-+r+`
792×	`associate-+l+`
420×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	5889
1	727	5629
2	3149	5627

Stop Event

1×	node limit

Counts

123 → 176

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 0)
(+.f32 1 (fma.f32 u2 (*.f32 (PI.f32) 2) -1))
(+.f32 1 (+.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) -1) 0))
(+.f32 1 (-.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) -1) 0))
(+.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) -1)
(+.f32 0 (.f32 u2 (.f32 (PI.f32) 2)))
(+.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) -1) 1)
(+.f32 -1 (fma.f32 u2 (*.f32 (PI.f32) 2) 1))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) 2) u2)
(.f32 (.f32 u2 (*.f32 (PI.f32) 2)) 1)
(.f32 1 (.f32 u2 (*.f32 (PI.f32) 2)))
(.f32 (sqrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 u2) (.f32 (*.f32 (PI.f32) 2) (sqrt.f32 u2)))
(.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (.f32 u2 (sqrt.f32 (.f32 (PI.f32) 2))))
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(fma.f32 u2 (*.f32 (PI.f32) 2) 0)
(fma.f32 (*.f32 (PI.f32) 2) u2 0)
(fma.f32 1 (.f32 u2 (.f32 (PI.f32) 2)) 0)
(fma.f32 1 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) -1)
(fma.f32 (sqrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) 0)
(fma.f32 (sqrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) (sqrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) -1)
(fma.f32 (pow.f32 (cbrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (cbrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) 0)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) 2) (cbrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) -1)
(fma.f32 (*.f32 u2 (PI.f32)) 2 0)

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

localize6.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 10 computations (71.4% saved)

series5.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(sqrt.f32 (log1p.f32 u1))
1.0ms	u1	@	inf	(sqrt.f32 (log1p.f32 u1))
0.0ms	u1	@	-inf	(sqrt.f32 (log1p.f32 u1))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`unswap-sqr`
774×	`swap-sqr`
550×	`associate-*r/`
438×	`associate-*l/`
410×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	264	61
2	3367	33

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

((#(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)))))))))

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simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1604×	`unswap-sqr`
864×	`associate-/r*`
698×	`associate-*r/`
692×	`distribute-lft-in`
690×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4747
1	835	4389
2	2782	4151

Stop Event

1×	node limit

Counts

111 → 164

Calls

Call 1

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

localize80.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	14.3b	(log.f32 (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 74 to 58 computations (21.6% saved)

series34.0ms (0.2%)

Counts

2 → 16

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`distribute-rgt-in`
610×	`distribute-lft-in`
508×	`associate-*r/`
460×	`associate-*l/`
380×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	380	52
2	4628	52

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1162×	`fma-def`
762×	`distribute-lft-in`
736×	`*-commutative`
706×	`+-commutative`
670×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2408
1	439	2368
2	1613	2266
3	6401	2266

Stop Event

1×	node limit

Counts

68 → 97

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

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

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
✓	0.2b	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
	0.3b	(*.f32 (PI.f32) (+.f32 u2 u2))

Compiler

Compiled 76 to 19 computations (75% saved)

series32.0ms (0.2%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	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)
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
1.0ms	u2	@	0	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`associate-*r/`
1064×	`associate-*l/`
374×	`add-sqr-sqrt`
364×	`*-un-lft-identity`
360×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	389	52
2	4784	24

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1912×	`distribute-lft-in`
1768×	`associate-/r*`
532×	`associate-+r+`
430×	`+-commutative`
414×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	466	4192
1	1676	3414
2	4501	3414

Stop Event

1×	node limit

Counts

170 → 204

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

Outputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/24 (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))) (.f32 1/2 (pow.f32 (PI.f32) 4)))))))
(+.f32 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 (.f32 2 (pow.f32 u2 4)) (fma.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) -4) (.f32 (pow.f32 (PI.f32) 4) 1/2)))))
(+.f32 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 2 (.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (PI.f32) 4) 1/2 (*.f32 (pow.f32 (PI.f32) 4) -1/6))))))
(+.f32 (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))))
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 2 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/24 (.f32 (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (.f32 1/720 (+.f32 (.f32 240 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -240 (pow.f32 (PI.f32) 6)) (.f32 -32 (pow.f32 (PI.f32) 6))))))))) (.f32 2 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/24 (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))) (*.f32 1/2 (pow.f32 (PI.f32) 4))))))))
(+.f32 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 2 (+.f32 (.f32 (pow.f32 u2 6) (fma.f32 -1/6 (pow.f32 (PI.f32) 6) (fma.f32 -1/24 (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 4) -4)) (.f32 1/720 (fma.f32 240 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 (PI.f32) 6) -272)))))) (.f32 (pow.f32 u2 4) (fma.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) -4) (*.f32 (pow.f32 (PI.f32) 4) 1/2)))))))
(+.f32 1 (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 2 (fma.f32 (pow.f32 u2 6) (fma.f32 -1/6 (pow.f32 (PI.f32) 6) (fma.f32 -1/24 (.f32 (pow.f32 (PI.f32) 4) (.f32 -4 (pow.f32 (PI.f32) 2))) (.f32 1/720 (.f32 (pow.f32 (PI.f32) 6) -32)))) (.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (PI.f32) 4) 1/2 (*.f32 (pow.f32 (PI.f32) 4) -1/6)))))))
(+.f32 1 (fma.f32 2 (fma.f32 (pow.f32 u2 6) (fma.f32 -1/6 (pow.f32 (PI.f32) 6) (fma.f32 -1/24 (.f32 (pow.f32 (PI.f32) 4) (.f32 -4 (pow.f32 (PI.f32) 2))) (.f32 1/720 (.f32 (pow.f32 (PI.f32) 6) -32)))) (.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (PI.f32) 4) 1/2 (.f32 (pow.f32 (PI.f32) 4) -1/6)))) (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (*.f32 u2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 (.f32 2 u2) (PI.f32)))
(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 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.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 (.f32 2 u2) (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.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 (.f32 2 u2) (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (cos.f32 (.f32 (.f32 2 u2) (PI.f32)))) (.f32 u1 u1))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (/.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 u1 u1)))))
(fma.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (fma.f32 -1/2 (/.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (/.f32 u1 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (*.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 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (cos.f32 (.f32 (.f32 2 u2) (PI.f32)))) (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (+.f32 (.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)))))) 1/3)))))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))))
(fma.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) u1) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (sqrt.f32 -1) (.f32 (/.f32 u1 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (/.f32 u1 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 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))) (pow.f32 (sqrt.f32 -1) 2)) (cos.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) u1)))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) u1)) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
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(sqrt.f32 (log1p.f32 u1))
(/.f32 (/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 0)) 3))) (.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2))))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (/.f32 (.f32 (.f32 (+.f32 (cos.f32 0) 2) (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 (cos.f32 0) 2))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (/.f32 (.f32 (.f32 (+.f32 (cos.f32 0) 2) (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (+.f32 (cos.f32 0) 2))) (sqrt.f32 (+.f32 (cos.f32 0) 2)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (/.f32 (.f32 (.f32 (+.f32 (cos.f32 0) 2) (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (+.f32 (cos.f32 0) 2)) (cbrt.f32 (+.f32 (cos.f32 0) 2)))) (cbrt.f32 (+.f32 (cos.f32 0) 2)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 0)) 3)) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 0)) 3)) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2)))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (/.f32 (.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 0)) 3)) (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2))))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 0)) 2) (+.f32 (cos.f32 0) 2))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 2)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 3)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1))) 3))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))) 1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))

eval480.0ms (3.4%)

Compiler: Compiled 26319 to 18530 computations (29.6% saved)

prune249.0ms (1.8%)

Pruning

64 alts after pruning (51 fresh and 13 done)

	Pruned	Kept	Total
New	807	10	817
Fresh	4	41	45
Picked	0	1	1
Done	0	12	12
Total	811	64	875

Error

0.1b

Counts

875 → 64

Alt Table

Click to see full alt table

Status	Error	Program
	7.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	7.6b	(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 3)) (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 4) (.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 u1)))
✓	32.0b	(/.f32 1 0)
	7.6b	(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (sqrt.f32 u1)) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 u1)))
	10.7b	(+.f32 (sqrt.f32 u1) (.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 u1)))))
	12.8b	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	1.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
	4.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2))
	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)))
	8.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
	9.3b	(.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)))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (fma.f32 -1/6 (pow.f32 u1 3) (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.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)))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (+.f32 (.f32 -1/6 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 (pow.f32 u1 2)) (.f32 -1/2 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	16.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (/.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) (.f32 2 u2) 1) 6)) (+.f32 1 (pow.f32 (fma.f32 (PI.f32) (.f32 2 u2) 1) 3))) (+.f32 1 (.f32 (fma.f32 (PI.f32) (.f32 2 u2) 1) (.f32 (fma.f32 u2 (PI.f32) 1) 2)))))) (-.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) 1/2)))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1))) (-.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)) 2) 1/2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))) 2) 1/2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1) 1/2)))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 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 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	7.7b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 0))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	7.2b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 2))
✓	12.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.9b	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
✓	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	7.6b	(.f32 (sqrt.f32 u1) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	7.6b	(.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	30.2b	(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
	12.6b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	9.2b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
	12.4b	(sqrt.f32 (log1p.f32 u1))
	19.8b	(sqrt.f32 (log.f32 (+.f32 1 u1)))
✓	11.9b	(sqrt.f32 u1)
	9.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	12.4b	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
	7.6b	(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 u1 3/2)))

Compiler

Compiled 1226 to 1022 computations (16.6% saved)

regimes966.0ms (6.9%)

Counts

86 → 1

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))

Calls

10 calls:

412.0ms	(log.f32 (-.f32 1 u1))
224.0ms	u2
69.0ms	u1
47.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
37.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.4b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.4b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.4b	1	`(log.f32 (-.f32 1 u1))`
0.4b	1	`(-.f32 1 u1)`
0.4b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.4b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1464 to 856 computations (41.5% saved)

regimes412.0ms (2.9%)

Counts

76 → 1

Calls

Call 1

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

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

Calls

10 calls:

60.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
56.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
51.0ms	(.f32 (.f32 2 (PI.f32)) u2)
39.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
35.0ms	u1

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.4b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.4b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.4b	1	`(log.f32 (-.f32 1 u1))`
0.4b	1	`(-.f32 1 u1)`
0.4b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.4b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1152 to 672 computations (41.7% saved)

regimes371.0ms (2.6%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

10 calls:

75.0ms	u2
53.0ms	(log.f32 (-.f32 1 u1))
35.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
32.0ms	u1
30.0ms	(.f32 (.f32 2 (PI.f32)) u2)

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.4b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.4b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.4b	1	`(log.f32 (-.f32 1 u1))`
0.4b	1	`(-.f32 1 u1)`
0.4b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.4b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1049 to 624 computations (40.5% saved)

regimes339.0ms (2.4%)

Counts

69 → 1

Calls

Call 1

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

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

Calls

10 calls:

59.0ms	(log.f32 (-.f32 1 u1))
29.0ms	(.f32 (.f32 2 (PI.f32)) u2)
29.0ms	u2
29.0ms	u1
28.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.4b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.4b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.4b	1	`(log.f32 (-.f32 1 u1))`
0.4b	1	`(-.f32 1 u1)`
0.4b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.4b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1003 to 599 computations (40.3% saved)

regimes345.0ms (2.4%)

Counts

67 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

62.0ms	u1
42.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
29.0ms	(.f32 (.f32 2 (PI.f32)) u2)
28.0ms	cosTheta_i
27.0ms	u2

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.4b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.4b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.4b	1	`(log.f32 (-.f32 1 u1))`
0.4b	1	`(-.f32 1 u1)`
0.4b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.4b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 963 to 580 computations (39.8% saved)

regimes283.0ms (2%)

Counts

65 → 1

Calls

Call 1

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

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

Calls

10 calls:

27.0ms	u1
26.0ms	u2
26.0ms	(.f32 (.f32 2 (PI.f32)) u2)
25.0ms	(-.f32 1 u1)
25.0ms	cosTheta_i

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.4b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.4b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.4b	1	`(log.f32 (-.f32 1 u1))`
0.4b	1	`(-.f32 1 u1)`
0.4b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.4b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 918 to 555 computations (39.5% saved)

regimes86.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

9 calls:

10.0ms	u1
10.0ms	(.f32 (.f32 2 (PI.f32)) u2)
10.0ms	(-.f32 1 u1)
10.0ms	cosTheta_i
10.0ms	(log.f32 (-.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 265 to 194 computations (26.8% saved)

regimes231.0ms (1.6%)

Counts

19 → 2

Calls

Call 1

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

88.0ms	(.f32 (.f32 2 (PI.f32)) u2)
37.0ms	(-.f32 1 u1)
24.0ms	(log.f32 (-.f32 1 u1))
19.0ms	u1
17.0ms	u2

Results

Error	Segments	Branch
3.4b	1	`cosTheta_i`
2.0b	2	`u1`
1.5b	2	`u2`
2.0b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
2.0b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
2.0b	2	`(log.f32 (-.f32 1 u1))`
2.0b	2	`(-.f32 1 u1)`
1.5b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.5b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 224 to 169 computations (24.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0053200083784759045	0.006279188208281994

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes194.0ms (1.4%)

Counts

18 → 2

Calls

Call 1

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

Calls

9 calls:

58.0ms	(.f32 (.f32 2 (PI.f32)) u2)
42.0ms	u1
16.0ms	u2
16.0ms	(log.f32 (-.f32 1 u1))
15.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
7.2b	1	`cosTheta_i`
4.5b	2	`u1`
3.0b	2	`u2`
4.5b	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
4.5b	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
4.5b	2	`(log.f32 (-.f32 1 u1))`
4.5b	2	`(-.f32 1 u1)`
3.0b	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.0b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 206 to 155 computations (24.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.99997878074646	0.9999802708625793

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes51.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
7.0ms	u1
7.0ms	(log.f32 (-.f32 1 u1))
7.0ms	u2
7.0ms	(-.f32 1 u1)

Results

Error	Segments	Branch
7.2b	1	`cosTheta_i`
7.2b	1	`u1`
7.2b	1	`u2`
7.2b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
7.2b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
7.2b	1	`(log.f32 (-.f32 1 u1))`
7.2b	1	`(-.f32 1 u1)`

Compiler

Compiled 158 to 119 computations (24.7% saved)

regimes18.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	u2
5.0ms	u1
5.0ms	cosTheta_i

Results

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

regimes13.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f32 1 0)
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)

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

Calls

3 calls:

5.0ms	u2
4.0ms	u1
4.0ms	cosTheta_i

Results

Error	Segments	Branch
8.4b	1	`cosTheta_i`
8.4b	1	`u1`
8.4b	1	`u2`

Compiler

Compiled 52 to 39 computations (25% saved)

regimes12.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

regimes12.0ms (0.1%)

Accuracy

Total -20.1b remaining (-168.6%)

Threshold costs -20.1b (-168.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

5.0ms	cosTheta_i
3.0ms	u2
3.0ms	u1

Results

Error	Segments	Branch
11.9b	1	`cosTheta_i`
11.9b	1	`u1`
11.9b	1	`u2`

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

530×	`distribute-lft-neg-in`
352×	`*-commutative`
268×	`distribute-rgt-neg-in`
204×	`distribute-neg-in`
202×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	825
1	179	825
2	231	821
3	303	809
4	380	809
5	475	809
6	579	809
7	669	809
8	711	809
9	737	809
10	768	809
11	801	809
12	874	809
13	1035	809
14	1135	809
15	1194	809
16	1223	809
17	1241	809
18	1268	809
19	1296	809
20	1307	809
21	1310	809

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1))) (-.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) 1/2)))
(.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) 6442451/1073741824) (.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)) 1048555/1048576) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(sqrt.f32 u1)
(/.f32 1 0)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 1/2 (cos.f32 (expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (+.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) -1))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 1/2 (cos.f32 (+.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) -1))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (-.f32 1/2 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (cos.f32 (+.f32 (+.f32 (.f32 u2 (*.f32 (PI.f32) 2)) 1) -1)) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 1/2 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (-.f32 1/2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (-.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) 1))) (-.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) 1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 1/2 (cos.f32 (+.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) -1))) (+.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)) -1/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 1/2 (cos.f32 (+.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) -1))) (+.f32 1/2 (+.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) -1/2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (+.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) -1/2)) (.f32 (cos.f32 (+.f32 (+.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1) -1)) -1/2)))
(.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 2 (*.f32 u2 (PI.f32)))))
(.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 (PI.f32) 2))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (.f32 u1 -1/3)))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 1/3))))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/1073741824) (.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 (PI.f32) 2)) 6442451/1073741824) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 -2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/1073741824) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4))) -2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/1073741824) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 2 (.f32 u1 (+.f32 1/2 (.f32 u1 1/4)))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 1048555/1048576) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1048555/1048576) (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4))))) u1)))
(sqrt.f32 (+.f32 u1 (.f32 (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))) (neg.f32 (.f32 u1 u1)))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/4)))))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (-.f32 -1/2 (.f32 u1 (+.f32 (.f32 u1 1/4) 1/3))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (*.f32 u1 -1/3))))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) -1/2) u1)))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(sqrt.f32 u1)
(/.f32 1 0)

Compiler

Compiled 298 to 248 computations (16.8% saved)

soundness111.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41
0	452	9303
1	1186	8139
2	5829	8055

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 335 to 177 computations (47.2% saved)

end133.0ms (0.9%)

Compiler: Compiled 256 to 155 computations (39.5% saved)

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

Iter	Nodes	Cost
0	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