Details

analyze240.0ms (1.5%)

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)

sample2.9s (17.9%)

Results

2.9s	8256×	body	256	valid
1.0ms	3×	body	256	precondition

Bogosity

preprocess46.0ms (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)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u1)))

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify27.0ms (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)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs

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

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

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

eval1.0ms (0%)

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

prune3.0ms (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

0.5b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	14.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize77.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	15.1b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series35.0ms (0.2%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`swap-sqr`
520×	`distribute-rgt-in`
516×	`associate-*r/`
468×	`distribute-lft-in`
416×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	339	80
2	4098	80

Stop Event

1×	node limit

Counts

4 → 139

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

simplify141.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-/r/`
818×	`associate-l`
778×	`associate-r`
648×	`+-commutative`
624×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	7247
1	1207	6597
2	5366	6471

Stop Event

1×	node limit

Counts

195 → 264

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

localize54.0ms (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	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.4b	(*.f32 (PI.f32) u2)

Compiler

Compiled 47 to 19 computations (59.6% saved)

series10.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

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

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`unswap-sqr`
886×	`swap-sqr`
514×	`sqr-pow`
340×	`distribute-rgt-in`
326×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	322	70
2	3906	70

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-/r*`
1022×	`associate-*r/`
932×	`associate-*l/`
904×	`associate-l`
846×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	382	7061
1	1042	6297
2	4720	6285

Stop Event

1×	node limit

Counts

161 → 226

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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
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(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.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 (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 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (sin.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 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.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 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (.f32 u1 u1))) (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (.f32 -1/2 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (/.f32 (.f32 u1 u1) (sqrt.f32 -1))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (/.f32 (.f32 -1/2 (sqrt.f32 -1)) (/.f32 u1 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.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 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 -1) (sin.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)))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3)) (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))) (/.f32 (.f32 -1/2 (.f32 (sqrt.f32 -1) (.f32 (sin.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)))) (pow.f32 u1 3)))) (fma.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))))
(+.f32 (fma.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (.f32 -1/2 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (/.f32 (.f32 u1 u1) (sqrt.f32 -1))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(.f32 -1 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 -1 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
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eval391.0ms (2.4%)

Compiler: Compiled 13896 to 9636 computations (30.7% saved)

prune131.0ms (0.8%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	458	32	490
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	458	34	492

Error

0.1b

Counts

492 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	9.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	7.8b	(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sin.f32 (.f32 (PI.f32) 0)))))
▶	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.8b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.9b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.4b	(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.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)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	3.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	2.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	2.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2)))
▶	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	14.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.2b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	7.8b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	7.8b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1291 to 1089 computations (15.6% saved)

localize164.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
✓	0.2b	(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	0.4b	(.f32 (PI.f32) (.f32 u2 2))

Compiler

Compiled 64 to 36 computations (43.8% saved)

series34.0ms (0.2%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
17.0ms	u2	@	inf	(log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
14.0ms	u2	@	-inf	(log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
1.0ms	u2	@	0	(log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`unswap-sqr`
892×	`swap-sqr`
386×	`distribute-rgt-in`
340×	`distribute-lft-in`
340×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	98
1	356	90
2	4067	90

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

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

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-/r*`
868×	`associate-r`
826×	`associate-l`
758×	`associate-*r/`
740×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	7389
1	995	6851
2	4871	6729

Stop Event

1×	node limit

Counts

151 → 195

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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -8 (pow.f32 (PI.f32) 3)) (.f32 16 (pow.f32 (PI.f32) 3)))))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -96 (pow.f32 (PI.f32) 4)) (.f32 64 (pow.f32 (PI.f32) 4))))) (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -8 (pow.f32 (PI.f32) 3)) (.f32 16 (pow.f32 (PI.f32) 3))))))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 (.f32 u2 2) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 2) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1)) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(/.f32 (.f32 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(/.f32 (.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 0)
(+.f32 1 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) -1))
(+.f32 1 (-.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))
(+.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)
(+.f32 -1 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))
(-.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1)
(-.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (+.f32 (sqrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) 1) (-.f32 (sqrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)) 1))
(/.f32 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(/.f32 (.f32 1 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1)) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(/.f32 (.f32 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1) (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(/.f32 (.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) 1) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)
(.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(.f32 1 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))))
(.f32 (.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))
(log.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))

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

localize48.0ms (0.3%)

Local error

Found 4 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))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))

Compiler

Compiled 40 to 18 computations (55% saved)

series13.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
840×	`swap-sqr`
474×	`sqr-pow`
460×	`pow-sqr`
322×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	301	34
2	3679	34

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-/l/`
1416×	`distribute-lft-in`
1354×	`associate-/r/`
456×	`associate-r`
432×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	299	4294971650
1	835	3768
2	3503	3768

Stop Event

1×	node limit

Counts

120 → 188

Calls

Call 1

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

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

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f32 (log1p.f32 u1) 3/2)
✓	0.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(*.f32 (PI.f32) u2)
✓	1.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)

Compiler

Compiled 48 to 28 computations (41.7% saved)

series104.0ms (0.6%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
26.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
16.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
14.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`unswap-sqr`
976×	`swap-sqr`
604×	`sqr-pow`
348×	`add-sqr-sqrt`
330×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	355	53
2	4060	53

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (log1p.f32 u1) 3/2)

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 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (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 (pow.f32 1 1/6) (pow.f32 1 1/6)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (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 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (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 (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) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12))))) (#(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 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

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

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

simplify160.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-*r/`
850×	`+-commutative`
842×	`associate-*l/`
778×	`associate-r`
662×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	491	9373
1	1490	8279
2	5324	8255

Stop Event

1×	node limit

Counts

121 → 220

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (.f32 1/3 (.f32 (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
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(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))))
(-.f32 (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 (pow.f32 1 1/6) (pow.f32 1 1/6)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (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) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12))
(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))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(*.f32 1 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(.f32 (.f32 (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 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/8) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/8))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3) 1/6) (pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3) 1/6))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(exp.f32 (*.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)))

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

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	1.4b	(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))

Compiler

Compiled 64 to 36 computations (43.8% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`unswap-sqr`
894×	`swap-sqr`
538×	`sqr-pow`
368×	`distribute-rgt-in`
338×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	347	71
2	4029	71

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify174.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1744×	`unswap-sqr`
1072×	`distribute-rgt-in`
1066×	`distribute-lft-in`
964×	`associate-/r*`
744×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	6031
1	645	5679
2	2957	5505

Stop Event

1×	node limit

Counts

121 → 124

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2))
(.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/6) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/6))
(.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (/.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (/.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (/.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (/.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
(.f32 (pow.f32 (exp.f32 1) (/.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (pow.f32 (exp.f32 1) (/.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2)))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(pow.f32 (exp.f32 1) (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2))
(.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/6) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/6))
(.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (/.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (/.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (/.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (/.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
(.f32 (pow.f32 (exp.f32 1) (/.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (pow.f32 (exp.f32 1) (/.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2)))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(pow.f32 (exp.f32 1) (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (.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)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (sqrt.f32 -1))) (.f32 -1/2 (.f32 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
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(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (.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)))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
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(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))
(.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) 2)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))
(.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) 2)))
(.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))
(.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) 2)))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/6) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/6))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (/.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (/.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (sqrt.f32 (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))))) (sqrt.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))
(.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (/.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (/.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2)) (cbrt.f32 (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 2)) (cbrt.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))
(.f32 (pow.f32 (exp.f32 1) (/.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (pow.f32 (exp.f32 1) (/.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2)))
(pow.f32 (E.f32) (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (E.f32) (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (sqrt.f32 (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))))) (sqrt.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (cbrt.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2)) (cbrt.f32 (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 2)) (cbrt.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))
(pow.f32 (exp.f32 1) (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(pow.f32 (E.f32) (log.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (E.f32) (log.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))
(fabs.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.7b	(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
✓	1.8b	(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)

Compiler

Compiled 71 to 43 computations (39.4% saved)

series13.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	u2	@	0	(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
2.0ms	u2	@	inf	(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
2.0ms	u2	@	-inf	(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`unswap-sqr`
970×	`swap-sqr`
384×	`add-sqr-sqrt`
368×	`distribute-rgt-in`
362×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	85
1	418	77
2	4606	77

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)

(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 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simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/r*`
830×	`associate-r`
806×	`associate-l`
738×	`associate-*r/`
630×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	386	7717
1	1139	6837
2	4399	6837

Stop Event

1×	node limit

Counts

125 → 184

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 1/12 (/.f32 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2))))
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(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))) 1)
(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1)
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
(.f32 1 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3))
(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3/2))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))
(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 3) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 3/2)) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2)))
(.f32 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2) 1/3) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2) 1/3) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4) (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2))) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4) (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3/2))))
(.f32 (.f32 (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2))) (.f32 (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3/2))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2)) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4)) (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2)) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3/4)))
(.f32 (.f32 (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4)) (.f32 (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3/4)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2)) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2)) (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2)) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2)))
(.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2) 1/3)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3/2) 1/3)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 0)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4)))) 2)
(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 0)) (cos.f32 (.f32 (.f32 (PI.f32) u2) 4))) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 6))
(log.f32 (exp.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))))
(cbrt.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 3))
(expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))
(exp.f32 (.f32 3 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (.f32 3 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 1/12 (/.f32 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 1/12 (/.f32 (pow.f32 u2 3) (/.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 5) -16)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 1/12 (.f32 (/.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 5) -16))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 1/12 (/.f32 (pow.f32 u2 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 2) -16) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 1/12 (/.f32 (.f32 (-.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (.f32 1/24 (/.f32 (pow.f32 (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (pow.f32 u2 5)) (pow.f32 (PI.f32) 2))) (.f32 1/12 (/.f32 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 1/12 (+.f32 (/.f32 (+.f32 (fma.f32 16/15 (pow.f32 (PI.f32) 7) (fma.f32 64/9 (pow.f32 (PI.f32) 7) (.f32 2 (.f32 (PI.f32) (.f32 (pow.f32 (PI.f32) 6) 128/45))))) (.f32 -1/24 (/.f32 (pow.f32 (.f32 (pow.f32 (PI.f32) 5) -16) 2) (pow.f32 (PI.f32) 3)))) (/.f32 (pow.f32 (PI.f32) 2) (pow.f32 u2 5))) (/.f32 (pow.f32 u2 3) (/.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 5) -16))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 1/12 (+.f32 (.f32 (/.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 5) -16)) (.f32 (/.f32 (+.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 6) (.f32 128/45 (PI.f32)))) (.f32 (pow.f32 (PI.f32) 7) 368/45)) (.f32 (/.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -16) 2) (pow.f32 (PI.f32) 3)) -1/24)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 5)))))
(fma.f32 1/12 (+.f32 (/.f32 (pow.f32 u2 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 2) -16) (pow.f32 (PI.f32) 5))) (.f32 (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 6) (.f32 128/45 (PI.f32)))) (+.f32 (.f32 (pow.f32 (PI.f32) 7) 368/45) (.f32 (/.f32 (pow.f32 (.f32 (pow.f32 (PI.f32) 5) -16) 2) (pow.f32 (PI.f32) 3)) -1/24))) (pow.f32 (PI.f32) 2)) (pow.f32 u2 5))) (.f32 2 (*.f32 u2 (PI.f32))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 1/12 (/.f32 (.f32 (-.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (.f32 1/24 (/.f32 (pow.f32 (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (pow.f32 u2 5)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/12 (/.f32 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 2))) (.f32 1/12 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -4/3 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -64/45 (pow.f32 (PI.f32) 9)) (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 9)) (.f32 2 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (PI.f32)))))) (+.f32 (.f32 1/12 (/.f32 (.f32 (-.f32 (+.f32 (.f32 16/15 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 64/9 (pow.f32 (PI.f32) 7)) (.f32 2 (.f32 (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))) (PI.f32))))) (.f32 1/24 (/.f32 (pow.f32 (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5))) 2) (pow.f32 (PI.f32) 3)))) (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (.f32 -16/3 (pow.f32 (PI.f32) 5)))) (pow.f32 (PI.f32) 3))) (.f32 1/1728 (/.f32 (pow.f32 (+.f32 (.f32 -32/3 (pow.f32 (PI.f32) 5)) (*.f32 -16/3 (pow.f32 (PI.f32) 5))) 3) (pow.f32 (PI.f32) 6))))) (pow.f32 u2 7)) (pow.f32 (PI.f32) 2))))))
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(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(.f32 (.f32 (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4)) (.f32 (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3/4)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2)) (sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3))
(.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 3))
(.f32 (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2)) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2)) (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2)) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2)) (sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3))
(.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 3))
(.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/4) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2)) (sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3))
(.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 3))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3/2) 1/3)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3/2) 1/3)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2)) (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3/2))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 0)) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4)))) 2)
(/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 2 (-.f32 (cos.f32 0) (cos.f32 (.f32 (PI.f32) (.f32 u2 4))))))
(.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (-.f32 1 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 4)))))
(.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (-.f32 1 (cos.f32 (.f32 (*.f32 4 (PI.f32)) u2))))
(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 0)) (cos.f32 (.f32 (.f32 (PI.f32) u2) 4))) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2)
(/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 2 (-.f32 (cos.f32 0) (cos.f32 (.f32 (PI.f32) (.f32 u2 4))))))
(.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (-.f32 1 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 4)))))
(.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (-.f32 1 (cos.f32 (.f32 (*.f32 4 (PI.f32)) u2))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 6))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 6))
(fabs.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3))
(log.f32 (exp.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(cbrt.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 3))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(exp.f32 (.f32 3 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(exp.f32 (.f32 (.f32 3 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

eval1.0s (6.2%)

Compiler: Compiled 36569 to 25783 computations (29.5% saved)

prune453.0ms (2.8%)

Pruning

50 alts after pruning (43 fresh and 7 done)

	Pruned	Kept	Total
New	1055	24	1079
Fresh	8	19	27
Picked	0	1	1
Done	0	6	6
Total	1063	50	1113

Error

0.1b

Counts

1113 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	11.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 u2 2)))) 2)
	7.8b	(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sin.f32 (.f32 (PI.f32) 0)))))
	16.1b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
	7.8b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.3b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (.f32 (PI.f32) (*.f32 u2 2)))
	8.3b	(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.2b	(.f32 (.f32 (*.f32 2 (PI.f32)) u2) (sqrt.f32 (log1p.f32 u1)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.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)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 (PI.f32) (*.f32 u2 2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	10.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 (PI.f32) (*.f32 u2 2)))
✓	3.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
▶	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
	6.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	3.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (E.f32) (log.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
▶	13.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/3) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
✓	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	6.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
✓	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	14.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.1b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.2b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (.f32 (PI.f32) (*.f32 u2 2)))
	7.8b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	20.6b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	8.8b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
	11.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (.f32 4 (pow.f32 (*.f32 (PI.f32) u2) 2))))
	7.8b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1724 to 1462 computations (15.2% saved)

localize89.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 78 to 26 computations (66.7% saved)

series20.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite159.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	390	70
2	4964	38

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

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

Outputs

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

simplify213.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1670×	`times-frac`
1108×	`associate-/l*`
1070×	`associate-r`
1064×	`associate-/r*`
1008×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	8848
1	1627	7680

Stop Event

1×	node limit

Counts

256 → 366

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))) (.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1)) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))) (.f32 1/2 (+.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2))))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2)) u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2))))))))) (fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))) (.f32 1/2 (+.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)))))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (+.f32 1/3 (/.f32 (.f32 -1/2 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2))) (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))))) (fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2)) u1)))))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1)))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1)))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2))))) (fma.f32 (sqrt.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1)) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2)) (.f32 (log.f32 (/.f32 -1 u1)) 1)) 1/3)))))))
(+.f32 (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3)) (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))) (.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2))))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
(.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))))
(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))
(fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))))))
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(/.f32 (.f32 (-.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3))) (/.f32 1 (pow.f32 (log1p.f32 u1) 2))) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 6) (pow.f32 (log1p.f32 u1) 6)) (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 2)))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 6) (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 4))) (log1p.f32 u1))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2))) (+.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (+.f32 (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 3)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 6) (+.f32 (pow.f32 (log1p.f32 u1) 6) (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 6) (pow.f32 (log1p.f32 u1) 6)) (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 (pow.f32 (log1p.f32 u1) 3/2) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))))
(log1p.f32 u1)
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) -1) (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) 1) (pow.f32 (log1p.f32 u1) 2))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) 1) (log1p.f32 u1))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(/.f32 (/.f32 (*.f32 -1 (pow.f32 (log1p.f32 u1) 3)) 1) (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (.f32 -1 (pow.f32 (log1p.f32 u1) 3)) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) 1) (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/2))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) -1) (log1p.f32 u1))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/2))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(log1p.f32 u1)
(fma.f32 1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (log1p.f32 u1))

localize97.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`sqrt-prod`
974×	`unswap-sqr`
790×	`swap-sqr`
438×	`sqr-pow`
424×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	285	25
2	3201	25

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1634×	`associate-*r/`
1088×	`associate-*l/`
938×	`distribute-lft-in`
904×	`distribute-rgt-in`
880×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	916
1	172	888
2	626	882
3	2079	882

Stop Event

1×	node limit

Counts

30 → 30

Calls

Call 1

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

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

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	13.8b	(-.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)

Compiler

Compiled 69 to 41 computations (40.6% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`associate-*r/`
1148×	`associate-*l/`
394×	`add-sqr-sqrt`
380×	`*-un-lft-identity`
378×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	382	64
2	4955	52

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -2) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) -4) (/.f32 1 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) -8) (/.f32 1 (+.f32 4 (+.f32 (*.f32 2 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 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simplify148.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-+r+`
1154×	`associate-+l+`
852×	`associate-*r/`
778×	`associate-*l/`
682×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	405	11582
1	1067	10878
2	4785	10878

Stop Event

1×	node limit

Counts

148 → 225

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
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(sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(fma.f32 1 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) -2)
(fma.f32 (sqrt.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) -2)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2) (cbrt.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) -2)
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 2) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2)))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2)) (.f32 (sqrt.f32 (log1p.f32 u1)) 2))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) (sqrt.f32 (log1p.f32 u1))) (.f32 2 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) -2))
(+.f32 (.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (.f32 -2 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 -2 (sqrt.f32 (log1p.f32 u1))) (.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) -8)))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4)) (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 4))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8)) (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (-.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) -2))))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4) (sqrt.f32 (log1p.f32 u1))) (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 4))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8) (sqrt.f32 (log1p.f32 u1))) (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))))
(/.f32 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (-.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) -2))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 4 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2)))) (+.f32 (-.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 8 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) 3))) (+.f32 4 (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2)) (.f32 2 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) -2)))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4))) (neg.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 4)))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8))) (neg.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)))))
(/.f32 (.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4))) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))
(/.f32 (.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8))) (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(/.f32 (.f32 1 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4) (sqrt.f32 (log1p.f32 u1)))) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))
(/.f32 (.f32 1 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8) (sqrt.f32 (log1p.f32 u1)))) (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4))) (sqrt.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8))) (sqrt.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4))) (cbrt.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8))) (cbrt.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)))))
(/.f32 (.f32 (-.f32 4 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (-.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))
(/.f32 (.f32 (+.f32 8 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 4 (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2)) (.f32 2 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) -2)))))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 4)))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4)) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8)) 1) (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(/.f32 (.f32 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))
(/.f32 (.f32 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4)) (.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8)) (.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)))))
(pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 u2) (PI.f32))
(.f32 (PI.f32) (.f32 2 u2))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 u2 3)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 (*.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
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(fma.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) u1) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
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(.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3) -8) (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4))) (sqrt.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2) -4)) (/.f32 (sqrt.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 4)) (.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) -4)) (sqrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8))) (sqrt.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 3) -8)) (/.f32 (sqrt.f32 (+.f32 4 (fma.f32 2 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (/.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (+.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4))))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3) -8)))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4))) (cbrt.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2) (sqrt.f32 (log1p.f32 u1))) (/.f32 (cbrt.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 4)) (cbrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) 2) -4))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) (sqrt.f32 (log1p.f32 u1))) (/.f32 (cbrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4)) (cbrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 2) -4))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8))) (cbrt.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2) (sqrt.f32 (log1p.f32 u1))) (/.f32 (cbrt.f32 (+.f32 4 (fma.f32 2 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2)))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) 3) -8))))
(.f32 (/.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (+.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4))))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3) -8)))
(/.f32 (.f32 (-.f32 4 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (-.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))
(/.f32 (-.f32 4 (.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2))) (/.f32 (-.f32 2 (-.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 4 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) (+.f32 4 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) -2) (-.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))))
(/.f32 (.f32 (+.f32 8 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 4 (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -2)) (.f32 2 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) -2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 4 (.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) (-.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) 2))) (+.f32 8 (pow.f32 (+.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) -2) 3))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) -2) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) -4) 4)) (+.f32 8 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) -2) 3)))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 4)))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 4)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) 2) -4))
(.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) -4) (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 4)))
(/.f32 (.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 4 (fma.f32 2 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2)))) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) 3) -8))
(.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3) -8) (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4)) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 4)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) 2) -4))
(.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) -4) (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 4)))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8)) 1) (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 4 (fma.f32 2 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2)))) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) 3) -8))
(.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3) -8) (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4)))))
(/.f32 (.f32 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 4)) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) 2) -4))
(.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) -4) (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 4)))
(/.f32 (.f32 (.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 4 (fma.f32 2 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2)))) (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) 3) -8))
(.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 3) -8) (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4)))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) -4)) (.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4)))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2) -4)) (/.f32 (sqrt.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 4)) (.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2) -4)) (sqrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) -8)) (.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (+.f32 4 (+.f32 (.f32 2 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 3) -8)) (/.f32 (sqrt.f32 (+.f32 4 (fma.f32 2 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (/.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (+.f32 4 (.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 4))))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3) -8)))
(pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.5b	(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)

Compiler

Compiled 57 to 31 computations (45.6% saved)

series52.0ms (0.3%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
42.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
2.0ms	u2	@	0	(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))

rewrite351.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`unswap-sqr`
868×	`swap-sqr`
510×	`sqr-pow`
488×	`pow-sqr`
358×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	71
1	344	63
2	3883	63

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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

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

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1646×	`associate-/l*`
1076×	`distribute-rgt-in`
1076×	`distribute-lft-in`
866×	`associate-/r*`
714×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	310	5261
1	793	4379
2	3355	4379

Stop Event

1×	node limit

Counts

115 → 168

Calls

Call 1

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

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

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.7b	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)

Compiler

Compiled 67 to 36 computations (46.3% saved)

series14.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
5.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
1.0ms	u1	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`unswap-sqr`
926×	`swap-sqr`
376×	`distribute-rgt-in`
362×	`add-sqr-sqrt`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	384	38
2	4389	38

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1130×	`associate-/r/`
1004×	`+-commutative`
934×	`associate-r`
810×	`associate-l`
742×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	10898
1	1587	9272
2	6371	9082

Stop Event

1×	node limit

Counts

126 → 202

Calls

Call 1

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

Outputs
(.f32 (pow.f32 1 1/3) (+.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 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
(fma.f32 -1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (+.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 (.f32 -2/3 (*.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (/.f32 1 u1))))
(fma.f32 -1/3 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) -2/3 (+.f32 (log.f32 -1) (log.f32 u1))))
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(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3)) 1) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(log1p.f32 u1)
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) -1) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3)) -1) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) 1) (log1p.f32 u1))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (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) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/2)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/6))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (cbrt.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 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) -1) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (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) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/2)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6))) (pow.f32 (log1p.f32 u1) 1/6))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/6)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/6))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (pow.f32 (log1p.f32 u1) 1/6))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) 0)) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (log1p.f32 u1)))
(/.f32 (neg.f32 (+.f32 0 (pow.f32 (log1p.f32 u1) 3))) (+.f32 (pow.f32 (log1p.f32 u1) 2) 0))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(log1p.f32 u1)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

eval941.0ms (5.7%)

Compiler: Compiled 37773 to 25704 computations (32% saved)

prune691.0ms (4.2%)

Pruning

59 alts after pruning (49 fresh and 10 done)

	Pruned	Kept	Total
New	1131	26	1157
Fresh	15	23	38
Picked	0	1	1
Done	2	9	11
Total	1148	59	1207

Error

0.1b

Counts

1207 → 59

Alt Table

Click to see full alt table

Status	Error	Program
	10.8b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 2)
	7.8b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
▶	7.8b	(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sin.f32 (.f32 (PI.f32) 0)))))
	7.8b	(/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (log1p.f32 u1) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
✓	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	11.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
	11.3b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (.f32 (PI.f32) (*.f32 u2 2)))
	8.3b	(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.2b	(.f32 (.f32 (*.f32 2 (PI.f32)) u2) (sqrt.f32 (log1p.f32 u1)))
	5.9b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	10.7b	(.f32 (.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3))
✓	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.8b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 (PI.f32) (*.f32 u2 2)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.2b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (pow.f32 (.f32 (PI.f32) (*.f32 u2 2)) 3) 1/3))
	11.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
	14.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sqrt.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) -2))
✓	3.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	6.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 2)) 2))
✓	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
	6.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	3.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (E.f32) (log.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2) -4) (+.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 4)))
	12.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 8 (pow.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) 3)) (+.f32 4 (.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) (-.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) 2)))))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (.f32 (-.f32 (.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) 16) (/.f32 1 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))) (+.f32 4 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
✓	13.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	12.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) -2) 2))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (.f32 u2 2))))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (PI.f32) (sqrt.f32 (.f32 u2 2))) (sqrt.f32 (*.f32 u2 2))))
✓	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	14.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.1b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.5b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	8.2b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	7.8b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	17.1b	(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
	20.6b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	10.8b	(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
▶	10.8b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	10.8b	(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 u1 4)))
	8.8b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1)))

Compiler

Compiled 2120 to 1774 computations (16.3% saved)

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 21 computations (68.7% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

15 calls:

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

rewrite192.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`distribute-rgt-in`
650×	`associate-*r/`
612×	`distribute-lft-in`
536×	`associate-*l/`
384×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	106
1	373	98
2	4701	90

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1222×	`+-commutative`
1054×	`associate-+r+`
1016×	`associate-r`
970×	`associate-l`
776×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	13752
1	1606	12608
2	7605	12608

Stop Event

1×	node limit

Counts

214 → 351

Calls

Call 1

Inputs
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/4 (pow.f32 u1 4)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)) (.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))) (.f32 -2 (log.f32 (/.f32 -1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 u2 (PI.f32))) 1))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))) 1)
(/.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
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(cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))

Outputs
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
(.f32 (.f32 (.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))))
(.f32 (.f32 u2 (PI.f32)) (.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))
(fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (pow.f32 (.f32 u2 (PI.f32)) 3)) (.f32 (.f32 (.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (pow.f32 (.f32 u2 (PI.f32)) 3)) (.f32 (.f32 (.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (pow.f32 (.f32 u2 (PI.f32)) 3)))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (pow.f32 (.f32 u2 (PI.f32)) 3)) (fma.f32 -8/315 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 (.f32 (.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (fma.f32 -4/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))) (.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) u1)) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))))
(fma.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))) (.f32 1/2 (+.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (.f32 u1 u1))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2)))) (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2))))) 2)) u1)))) (.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (.f32 (+.f32 1/3 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (pow.f32 u1 3))) (fma.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))) (.f32 1/2 (+.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) (*.f32 u1 u1)))))))
(fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2)))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (.f32 (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2))))) 2)) (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2))) -1/2)))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2)))) (+.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2))))) 2)) u1)))) (.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (.f32 (log.f32 u1) -2))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1)) (sin.f32 (.f32 (.f32 2 u2) (PI.f32))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) u1) (sqrt.f32 (/.f32 1 (.f32 (log.f32 (/.f32 -1 u1)) 1)))) (.f32 (sqrt.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1)) (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
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u1
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(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 6) (pow.f32 (log1p.f32 (.f32 u1 u1)) 6)) (.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))) (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 6) (pow.f32 (log1p.f32 (.f32 u1 u1)) 6)) (.f32 (fma.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3) (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) 3)) (/.f32 1 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))))) (+.f32 (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (+.f32 (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3) (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) 3)) (.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))) (+.f32 (pow.f32 (log1p.f32 u1) 6) (.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3) (pow.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) 3)) (.f32 (fma.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (pow.f32 (log1p.f32 u1) 6) (fma.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 6)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) 1) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1)))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (.f32 (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1)))))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1)
(neg.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)
(neg.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 3)
(neg.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2) 1/2)
(sqrt.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) 2))
(fabs.f32 (neg.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2))
(sqrt.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) 2))
(fabs.f32 (neg.f32 (log1p.f32 u1)))
(log.f32 (/.f32 1 (+.f32 u1 1)))
(neg.f32 (log1p.f32 u1))
(log.f32 (-.f32 (+.f32 1 (/.f32 1 (+.f32 u1 1))) 1))
(log.f32 (+.f32 1 (+.f32 (/.f32 1 (+.f32 1 u1)) -1)))
(log.f32 (+.f32 (/.f32 1 (+.f32 1 u1)) 0))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3))
(neg.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(neg.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(neg.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 1))
(neg.f32 (log1p.f32 u1))
(log1p.f32 (-.f32 (/.f32 1 (+.f32 u1 1)) 1))
(log.f32 (+.f32 1 (+.f32 (/.f32 1 (+.f32 1 u1)) -1)))
(log.f32 (+.f32 (/.f32 1 (+.f32 1 u1)) 0))
(fma.f32 1 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1)
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1)
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 1 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 2))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2) (cbrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) 2)
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (cos.f32 (.f32 u2 (PI.f32))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))))
(/.f32 (.f32 2 (+.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sin.f32 (-.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))))) 2)
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(/.f32 (.f32 (+.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sin.f32 (-.f32 (.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) 2) 2)
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1)
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2)
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3)
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3) 1/3)
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2))
(fabs.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(sin.f32 (.f32 (.f32 2 u2) (PI.f32)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`add-sqr-sqrt`
1832×	`*-un-lft-identity`
1688×	`add-cube-cbrt`
1660×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	195	32
2	2331	32

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-+l+`
938×	`associate-+r+`
906×	`fma-def`
642×	`associate-+r-`
634×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	644
1	152	644
2	577	644
3	2539	644
4	7917	644

Stop Event

1×	node limit

Counts

38 → 29

Calls

Call 1

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

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

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f32 (log1p.f32 u1) 1/4)
✓	0.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.4b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 40 to 26 computations (35% saved)

series19.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
4.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
3.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
2.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms	u1	@	-inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`unswap-sqr`
898×	`swap-sqr`
530×	`sqr-pow`
498×	`pow-sqr`
304×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	310	49
2	3581	49

Stop Event

1×	node limit

Counts

3 → 80

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

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 (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 (cbrt.f32 (pow.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 (cbrt.f32 (pow.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 (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 /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1) (+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(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 (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 log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

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

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

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-/r*`
1146×	`associate-*r/`
964×	`associate-*l/`
706×	`+-commutative`
656×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	8124
1	1268	7200
2	4438	7120

Stop Event

1×	node limit

Counts

124 → 211

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

Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 u1) 13/96) (.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(fma.f32 (.f32 (sqrt.f32 u1) -35/384) (pow.f32 u1 3) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(fma.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 u1) -35/384) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (.f32 -1/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (.f32 -1/2 (sqrt.f32 -1)) u1)))
(+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))))) (.f32 (*.f32 -1/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (/.f32 (.f32 2 (sqrt.f32 -1)) (/.f32 (.f32 u1 u1) (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (*.f32 (log.f32 u1) (log.f32 u1))))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3))))) (+.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (.f32 -1/2 (sqrt.f32 -1)) u1)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (/.f32 (.f32 2 (sqrt.f32 -1)) (/.f32 (.f32 u1 u1) (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) (log.f32 u1))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1))))))))))
(+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (-.f32 (fma.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (neg.f32 (log.f32 u1))) (.f32 1/24 (-.f32 (-.f32 (/.f32 3 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (/.f32 2 (neg.f32 (log.f32 u1)))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3))))) (/.f32 1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))) (fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))))) (.f32 (*.f32 -1/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 -1/32 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3)))) (fma.f32 1/24 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (neg.f32 (pow.f32 (log.f32 u1) 3))))) (/.f32 -1/384 (neg.f32 (pow.f32 (log.f32 u1) 3))))))) (fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (/.f32 (.f32 2 (sqrt.f32 -1)) (/.f32 (.f32 u1 u1) (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (*.f32 (log.f32 u1) (log.f32 u1))))))))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 -1/32 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3)))) (fma.f32 1/24 (-.f32 (-.f32 (/.f32 (/.f32 3 (log.f32 u1)) (log.f32 u1)) (/.f32 -2 (log.f32 u1))) (/.f32 2 (neg.f32 (pow.f32 (log.f32 u1) 3)))) (/.f32 -1/384 (neg.f32 (pow.f32 (log.f32 u1) 3))))))) (fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) (log.f32 u1))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))))) (+.f32 (.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (.f32 -1/2 (sqrt.f32 -1)) u1)) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (/.f32 (.f32 2 (sqrt.f32 -1)) (/.f32 (.f32 u1 u1) (fma.f32 1/8 (+.f32 (/.f32 -1 (log.f32 u1)) (/.f32 (/.f32 -1 (log.f32 u1)) (log.f32 u1))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1))))))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
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(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1) (+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(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))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(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))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(+.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2))))) -1)
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2))))) 1)
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (.f32 (PI.f32) u2))))) (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (.f32 (PI.f32) u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (.f32 (PI.f32) u2))))) 1))
(/.f32 (.f32 (+.f32 1 (exp.f32 (log1p.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))))) (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))) (+.f32 1 (exp.f32 (log1p.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))))) (+.f32 1 (exp.f32 (log1p.f32 (.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))))))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2))) 1)
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2)))) 2)
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2)))) 3)
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (.f32 (log1p.f32 u1) (.f32 4 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(sqrt.f32 (.f32 (.f32 (log1p.f32 u1) 4) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(sqrt.f32 (.f32 4 (.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (log1p.f32 u1))))
(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 2 (.f32 (PI.f32) u2))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2))) 3))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (.f32 2 (*.f32 (PI.f32) u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (.f32 2 (*.f32 u2 (PI.f32))) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (*.f32 (PI.f32) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (.f32 2 (*.f32 u2 (PI.f32))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) -1)
(pow.f32 (log1p.f32 u1) 1/4)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) 1)
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/16) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (pow.f32 (log1p.f32 u1) 1/16) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))
(pow.f32 (log1p.f32 u1) 1/4)
(.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))
(.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/16)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/16)))
(pow.f32 (log1p.f32 u1) 1/4)
(.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (pow.f32 (log1p.f32 u1) 1/16)) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (pow.f32 (log1p.f32 u1) 1/16)))
(.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)))
(.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/16) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)) (*.f32 (pow.f32 (log1p.f32 u1) 1/16) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)))
(.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(pow.f32 (log1p.f32 u1) 1/4)
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)))))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(pow.f32 (log1p.f32 u1) 1/4)
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)))))
(.f32 (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) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)))))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (*.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 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)))))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) 3/2) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) 3/2))
(pow.f32 (log1p.f32 u1) 1/4)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/16) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/16))
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/8)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))) 1) (+.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (pow.f32 (log1p.f32 u1) 1/4)) (+.f32 1 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (+.f32 1 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (log1p.f32 u1) 1/4)
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(pow.f32 (log1p.f32 u1) 1/4)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)
(exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)

localize84.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	15.9b	(log.f32 (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 74 to 58 computations (21.6% saved)

series19.0ms (0.1%)

Counts

2 → 16

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.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)))))) (sin.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)))))) (sin.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)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(log.f32 (sqrt.f32 (-.f32 1 u1)))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`distribute-rgt-in`
600×	`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	4627	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)))))) (sin.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))) (sin.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))) (sin.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))) (sin.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))) (sin.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))) (sin.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 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.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))) (sin.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))) (sin.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 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.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))) (sin.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))) (sin.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))) (sin.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))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1230×	`fma-def`
832×	`*-commutative`
768×	`distribute-lft-in`
710×	`+-commutative`
650×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2488
1	465	2448
2	1661	2346
3	6501	2346

Stop Event

1×	node limit

Counts

68 → 96

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 2 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 u2 (.f32 (sqrt.f32 -2) (PI.f32)))))
(+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 3))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 u2 (.f32 (sqrt.f32 -2) (PI.f32))))))
(+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 5))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 u2 (.f32 (sqrt.f32 -2) (PI.f32)))))))
(+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 5))))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 u2 (.f32 (sqrt.f32 -2) (PI.f32))))) (.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 7) (.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 7))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.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))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.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))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.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))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.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 u1 (.f32 u1 -1/4)))
(.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 u1 (.f32 u1 -1/4))))
(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)))))
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(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sin.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))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sin.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 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.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 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sin.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))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sin.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))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sin.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))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))

localize89.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(/.f32 2 (+.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sin.f32 (*.f32 (PI.f32) 0))))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sin.f32 (.f32 (PI.f32) 0)))))

Compiler

Compiled 82 to 55 computations (32.9% saved)

series5.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`associate-/l*`
422×	`add-sqr-sqrt`
410×	`*-un-lft-identity`
406×	`pow1`
388×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	431	64
2	5678	58

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs

(/.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sin.f32 (*.f32 (PI.f32) 0)))))

(/.f32 2 (+.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sin.f32 (*.f32 (PI.f32) 0))))

Outputs

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

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-/l/`
842×	`associate-/r/`
828×	`distribute-lft-in`
804×	`distribute-rgt-in`
546×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	6079
1	1030	5855
2	3774	5753

Stop Event

1×	node limit

Counts

125 → 182

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.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 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.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 (.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)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(/.f32 1 (*.f32 u2 (PI.f32)))
(+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 2/3 (*.f32 u2 (PI.f32))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 2/15 (pow.f32 (PI.f32) 3)) (.f32 -4/9 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 2/3 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 5) (+.f32 (.f32 4/45 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 -4/315 (pow.f32 (PI.f32) 5)) (.f32 2/3 (.f32 (+.f32 (.f32 2/15 (pow.f32 (PI.f32) 3)) (.f32 -4/9 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 2/15 (pow.f32 (PI.f32) 3)) (.f32 -4/9 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 2/3 (*.f32 u2 (PI.f32))))))
(/.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(/.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1)))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0) (*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0)))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0) (*.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1)) (*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0)))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1)) (*.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1))))
(+.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1)) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (+.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0) (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0)) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (+.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0) (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (+.f32 (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1)) (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0)) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (+.f32 (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1)) (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) (-.f32 1 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) (-.f32 1 (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1))))
(-.f32 (+.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 0) (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))) 1)
(-.f32 (+.f32 (.f32 0 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1)) (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))) 1)
(.f32 2 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1/2)))
(.f32 2 (/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 2 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1/2)))
(.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4)) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1/2))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (/.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(.f32 1 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (.f32 (sqrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1/2)))
(.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2) (cbrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cbrt.f32 (.f32 (log1p.f32 u1) 4)) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1/2)))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1/2) (sqrt.f32 (*.f32 (log1p.f32 u1) 4)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (/.f32 1 (/.f32 -2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(.f32 1/2 (/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (/.f32 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)))
(.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 2) (.f32 (sin.f32 (/.f32 (.f32 (PI.f32) u2) 1)) (cos.f32 (/.f32 (*.f32 (PI.f32) u2) 1))))
(.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) 1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1/2) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1/2))
(.f32 (/.f32 1 (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (/.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4)) (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (/.f32 2 (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) -1) (neg.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (/.f32 2 (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (/.f32 2 (pow.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 2) (/.f32 2 (/.f32 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (/.f32 2 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (/.f32 (sqrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) 2) (/.f32 (sqrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (/.f32 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (sqrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) 1) (/.f32 (sqrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (sqrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (pow.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (/.f32 (sqrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (/.f32 (cbrt.f32 (.f32 (log1p.f32 u1) 4)) 2) (/.f32 (cbrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (/.f32 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (cbrt.f32 (.f32 (log1p.f32 u1) 4)) 1) (/.f32 (cbrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 (cbrt.f32 (.f32 (log1p.f32 u1) 4)) (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (/.f32 (cbrt.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4))) (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (/.f32 (cbrt.f32 (.f32 (log1p.f32 u1) 4)) (pow.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (cbrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (/.f32 1 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) -1)
(neg.f32 (/.f32 2 (/.f32 (/.f32 -2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 2))
(log.f32 (exp.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (/.f32 (pow.f32 (sqrt.f32 (.f32 (log1p.f32 u1) 4)) 3) (pow.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 1)
(.f32 2 (/.f32 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 1 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2))
(.f32 (pow.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2) (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)
(.f32 -2 (/.f32 1 (neg.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (/.f32 2 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (/.f32 2 (+.f32 0 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))) (-.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) (.f32 0 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(pow.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1/2) -1)
(sqrt.f32 (/.f32 4 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(log.f32 (exp.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
(expm1.f32 (log1p.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (/.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (/.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))

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

eval793.0ms (4.8%)

Compiler: Compiled 31698 to 20162 computations (36.4% saved)

prune765.0ms (4.6%)

Pruning

65 alts after pruning (52 fresh and 13 done)

	Pruned	Kept	Total
New	981	11	992
Fresh	3	41	44
Picked	1	0	1
Done	1	13	14
Total	986	65	1051

Error

0.1b

Counts

1051 → 65

Alt Table

Click to see full alt table

Status	Error	Program
	7.8b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	7.8b	(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
	10.1b	(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 (.f32 u2 (PI.f32)) 2/3)))
	7.8b	(/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (log1p.f32 u1) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
✓	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.8b	(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
	11.3b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (.f32 (PI.f32) (*.f32 u2 2)))
	8.3b	(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.2b	(.f32 (.f32 (*.f32 2 (PI.f32)) u2) (sqrt.f32 (log1p.f32 u1)))
	5.9b	(.f32 (.f32 (.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	10.7b	(.f32 (.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3))
✓	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.8b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 (PI.f32) (*.f32 u2 2)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.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)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	16.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.2b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (pow.f32 (.f32 (PI.f32) (*.f32 u2 2)) 3) 1/3))
	11.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
	14.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sqrt.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) -2))
✓	3.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	6.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 2)) 2))
✓	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
	6.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	3.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (E.f32) (log.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2) -4) (+.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 4)))
	12.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 8 (pow.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) 3)) (+.f32 4 (.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) (-.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) 2)))))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (.f32 (-.f32 (.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) 16) (/.f32 1 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))) (+.f32 4 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
✓	13.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	12.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) -2) 2))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (.f32 u2 2))))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (PI.f32) (sqrt.f32 (.f32 u2 2))) (sqrt.f32 (*.f32 u2 2))))
✓	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	14.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.1b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.5b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	8.2b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	7.8b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	17.1b	(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
	20.6b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	10.8b	(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
✓	10.8b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	10.8b	(.f32 2 (.f32 u2 (sqrt.f32 (*.f32 u1 (pow.f32 (PI.f32) 2)))))
	11.0b	(.f32 2 (.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
	11.2b	(.f32 2 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
	10.8b	(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 u1 4)))
	8.8b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1)))
	7.8b	(neg.f32 (/.f32 2 (/.f32 (/.f32 -2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))))

Compiler

Compiled 1247 to 1049 computations (15.9% saved)

regimes749.0ms (4.6%)

Counts

95 → 1

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 2 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 u1))))
(.f32 (.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (*.f32 2 (PI.f32)) u2) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 u1 4)))
(.f32 2 (.f32 u2 (sqrt.f32 (*.f32 u1 (pow.f32 (PI.f32) 2)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 2 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
(.f32 2 (.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (.f32 4 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (.f32 (PI.f32) (*.f32 u2 2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 (PI.f32) (*.f32 u2 2)))) 2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (pow.f32 (.f32 (PI.f32) (*.f32 u2 2)) 3) 1/3))
(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
(neg.f32 (/.f32 2 (/.f32 (/.f32 -2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
(.f32 (.f32 (.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) -2) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (+.f32 (/.f32 1 (.f32 u2 (PI.f32))) (.f32 (.f32 u2 (PI.f32)) 2/3)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (.f32 (PI.f32) (*.f32 u2 2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 u2 2)))) 2)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (PI.f32) (sqrt.f32 (.f32 u2 2))) (sqrt.f32 (*.f32 u2 2))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 2)) 2))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (log1p.f32 u1) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sin.f32 (.f32 (PI.f32) 0)))))
(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sin.f32 (.f32 (PI.f32) 0)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (E.f32) (log.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (.f32 u2 2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -2 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 (.f32 2 u2) (PI.f32)))) 2) -4) (+.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 4)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u2))))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))) 3))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/3) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (sqrt.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) -2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 8 (pow.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) 3)) (+.f32 4 (.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) (-.f32 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) -2) 2)))))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.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)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (.f32 (-.f32 (.f32 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) 16) (/.f32 1 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))) (+.f32 4 (pow.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Calls

10 calls:

251.0ms	(-.f32 1 u1)
88.0ms	u1
86.0ms	(log.f32 (-.f32 1 u1))
68.0ms	u2
46.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.5b	1	`(log.f32 (-.f32 1 u1))`
0.5b	1	`(-.f32 1 u1)`
0.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1613 to 983 computations (39.1% saved)

regimes415.0ms (2.5%)

Counts

61 → 1

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))

Calls

10 calls:

73.0ms	(.f32 (.f32 2 (PI.f32)) u2)
65.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
57.0ms	(log.f32 (-.f32 1 u1))
31.0ms	cosTheta_i
30.0ms	u1

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.5b	1	`(log.f32 (-.f32 1 u1))`
0.5b	1	`(-.f32 1 u1)`
0.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 901 to 556 computations (38.3% saved)

regimes278.0ms (1.7%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

10 calls:

53.0ms	u1
49.0ms	u2
30.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
24.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	cosTheta_i

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.5b	1	`(log.f32 (-.f32 1 u1))`
0.5b	1	`(-.f32 1 u1)`
0.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 699 to 432 computations (38.2% saved)

regimes198.0ms (1.2%)

Counts

21 → 2

Calls

Call 1

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

Outputs

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

(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

Calls

5 calls:

53.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
50.0ms	(.f32 (.f32 2 (PI.f32)) u2)
43.0ms	cosTheta_i
23.0ms	u1
23.0ms	u2

Results

Error	Segments	Branch
2.6b	1	`cosTheta_i`
1.4b	2	`u1`
1.2b	2	`u2`
1.2b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.2b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 270 to 179 computations (33.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00122672354336828	0.0015099248848855495

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes136.0ms (0.8%)

Counts

15 → 3

Calls

Call 1

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

Outputs

(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

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

(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

Calls

5 calls:

56.0ms	u2
27.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
21.0ms	(.f32 (.f32 2 (PI.f32)) u2)
17.0ms	u1
10.0ms	cosTheta_i

Results

Error	Segments	Branch
3.7b	1	`cosTheta_i`
1.7b	2	`u1`
1.6b	2	`u2`
1.6b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 197 to 134 computations (32% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0012267231941223145	0.0015099243028089404
0.0ms	-0.06335455924272537	1.8410503122012756e-9

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes86.0ms (0.5%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
16.0ms	(.f32 (.f32 2 (PI.f32)) u2)
15.0ms	u1
15.0ms	u2
8.0ms	cosTheta_i

Results

Error	Segments	Branch
3.7b	1	`cosTheta_i`
1.7b	2	`u1`
1.6b	2	`u2`
1.6b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 179 to 120 computations (33% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00122672354336828	0.0015099248848855495

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes135.0ms (0.8%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

5 calls:

77.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
18.0ms	(.f32 (.f32 2 (PI.f32)) u2)
14.0ms	u2
14.0ms	u1
8.0ms	cosTheta_i

Results

Error	Segments	Branch
5.9b	1	`cosTheta_i`
3.0b	2	`u1`
2.6b	2	`u2`
2.6b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.6b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 163 to 109 computations (33.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.02755039371550083	0.028923673555254936

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes95.0ms (0.6%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	u1
19.0ms	u2
18.0ms	(.f32 (.f32 2 (PI.f32)) u2)
6.0ms	cosTheta_i

Results

Error	Segments	Branch
7.1b	1	`cosTheta_i`
5.4b	2	`u1`
4.9b	2	`u2`
4.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 121 to 81 computations (33.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002804431365802884	0.00304071931168437

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes16.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	cosTheta_i
5.0ms	u1
4.0ms	u2

Results

Error	Segments	Branch
8.3b	1	`cosTheta_i`
8.3b	1	`u1`
8.3b	1	`u2`

Compiler

Compiled 64 to 43 computations (32.8% saved)

regimes13.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(.f32 (.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))

Calls

3 calls:

5.0ms	cosTheta_i
4.0ms	u1
4.0ms	u2

Results

Error	Segments	Branch
10.7b	1	`cosTheta_i`
10.7b	1	`u1`
10.7b	1	`u2`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

Calls

3 calls:

4.0ms	cosTheta_i
4.0ms	u1
3.0ms	u2

Results

Error	Segments	Branch
10.8b	1	`cosTheta_i`
10.8b	1	`u1`
10.8b	1	`u2`

Compiler

Compiled 31 to 22 computations (29% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

152×	`distribute-lft-neg-in`
120×	`*-commutative`
86×	`distribute-rgt-neg-in`
56×	`distribute-neg-in`
56×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	857
1	139	857
2	170	857
3	220	837
4	275	837
5	347	837
6	415	837
7	452	837
8	456	837

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) -13421773/268435456) (.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (if (<=.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/2147483648) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 (neg.f32 u1)) (+.f32 (.f32 u1 -1/3) -1/2)))) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)))) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 1/3))))) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(if (<=.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) -13421773/268435456) (.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (if (<=.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))))
(if (<=.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) -13421773/268435456) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 -2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (if (<=.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))))))
(if (<=.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) -13421773/268435456) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4))) -2))) (if (<=.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))))))
(if (<=.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) -13421773/268435456) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 2 (.f32 u1 (-.f32 1/2 (.f32 u1 -1/4)))))) (if (<=.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2)))))))
(if (<=.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) -13421773/268435456) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 2 (.f32 u1 (-.f32 1/2 (.f32 u1 -1/4)))))) (if (<=.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2)))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 7516193/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/2147483648) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/2147483648) (.f32 (.f32 (PI.f32) (.f32 u2 2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/2147483648) (.f32 (.f32 (PI.f32) (.f32 u2 2)) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/2147483648) (.f32 (.f32 (PI.f32) (.f32 u2 2)) (sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (.f32 (PI.f32) (.f32 u2 2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))))
(.f32 (.f32 (PI.f32) (.f32 u2 2)) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))
(.f32 (.f32 (PI.f32) (.f32 u2 2)) (sqrt.f32 (+.f32 u1 (.f32 u1 (*.f32 u1 1/2)))))
(.f32 (.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(.f32 (.f32 (PI.f32) u2) (*.f32 2 (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

Compiler

Compiled 297 to 231 computations (22.2% saved)

soundness30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

end170.0ms (1%)

Compiler: Compiled 267 to 163 computations (39% 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	85	857
1	139	857
2	170	857
3	220	837
4	275	837
5	347	837
6	415	837
7	452	837
8	456	837

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	85	857
1	139	857
2	170	857
3	220	837
4	275	837
5	347	837
6	415	837
7	452	837
8	456	837

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	85	857
1	139	857
2	170	857
3	220	837
4	275	837
5	347	837
6	415	837
7	452	837
8	456	837

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