Details

analyze217.0ms (1.4%)

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)

sample3.0s (19.5%)

Results

3.0s	8256×	body	256	valid
0.0ms	1×	body	256	precondition

Bogosity

preprocess88.0ms (0.6%)

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)

simplify33.0ms (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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

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))))
▶	13.3b	(.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)

localize62.0ms (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 (.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)))
✓	14.0b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series33.0ms (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)))
3.0ms	u2	@	0	(.f32 (.f32 2 (PI.f32)) u2)
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	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)))

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`swap-sqr`
520×	`distribute-rgt-in`
516×	`associate-*r/`
468×	`distribute-lft-in`
420×	`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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.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 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(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 (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 (sqrt.f32 (log1p.f32 (neg.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 (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))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) 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 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) 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 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.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 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 2 (.f32 (PI.f32) u2))) 1)))) (#(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 pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-/r/`
808×	`associate-l`
774×	`associate-r`
646×	`+-commutative`
622×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	7247
1	1207	6561
2	5344	6435

Stop Event

1×	node limit

Counts

195 → 263

Calls

Call 1

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

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

localize48.0ms (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 (PI.f32) u2)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 47 to 19 computations (59.6% saved)

series17.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
13.0ms	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	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite137.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`unswap-sqr`
888×	`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	3915	70

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-/r*`
1022×	`associate-*r/`
932×	`associate-*l/`
892×	`associate-l`
842×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	7061
1	1040	6297
2	4711	6285

Stop Event

1×	node limit

Counts

161 → 220

Calls

Call 1

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

eval247.0ms (1.6%)

Compiler: Compiled 13786 to 9384 computations (31.9% saved)

prune126.0ms (0.8%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	452	31	483
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	452	33	485

Error

0.1b

Counts

485 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	8.1b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	8.1b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.1b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (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)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (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)))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) 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)))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2)))
	2.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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)))
▶	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
	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))))
	12.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
	11.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	9.5b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	8.0b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1283 to 1065 computations (17% saved)

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 68 to 34 computations (50% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`unswap-sqr`
962×	`swap-sqr`
382×	`distribute-rgt-in`
370×	`add-sqr-sqrt`
352×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	391	67
2	4460	67

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1492×	`associate-l`
1450×	`associate-r`
974×	`associate-/r*`
758×	`associate-*r/`
714×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	6040
1	1178	5546
2	5424	5534

Stop Event

1×	node limit

Counts

154 → 192

Calls

Call 1

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

Outputs
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
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(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))

localize66.0ms (0.4%)

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

Compiler

Compiled 40 to 15 computations (62.5% saved)

series17.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`unswap-sqr`
838×	`swap-sqr`
474×	`sqr-pow`
460×	`pow-sqr`
322×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	301	43
2	3664	43

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

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

((#(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 (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 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 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)) (pow.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 (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 (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6))))) (#(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 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) 1) (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) -1) (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) 1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1) (+.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (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 (0.6%)

Algorithm

1×	egg-herbie

Rules

1606×	`associate-*r/`
1326×	`associate-*l/`
1024×	`associate-/r/`
576×	`associate-r`
456×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	322	4294971888
1	866	3982
2	3726	3982

Stop Event

1×	node limit

Counts

132 → 206

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

localize88.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 78 to 26 computations (66.7% saved)

series45.0ms (0.3%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	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	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	@	-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	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)))

rewrite116.0ms (0.8%)

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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simplify105.0ms (0.7%)

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)))))))
(.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)))))))))
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(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))))))))
(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))))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3)))))
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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))

localize113.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 30 computations (53.1% saved)

series56.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	u2	@	-inf	(log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
11.0ms	u2	@	inf	(log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
1.0ms	u2	@	0	(log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`unswap-sqr`
932×	`swap-sqr`
380×	`distribute-rgt-in`
344×	`add-sqr-sqrt`
338×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	351	75
2	4107	75

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1714×	`distribute-lft-in`
988×	`associate-/r*`
766×	`associate-*r/`
734×	`associate-l`
724×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	6447
1	954	6043
2	4093	6031

Stop Event

1×	node limit

Counts

131 → 205

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

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

localize125.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 36 computations (46.3% saved)

series11.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
4.0ms	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	@	-inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite111.0ms (0.7%)

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 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simplify163.0ms (1.1%)

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)))))
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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 (.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 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3))
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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)))

eval916.0ms (6%)

Compiler: Compiled 43416 to 28620 computations (34.1% saved)

prune722.0ms (4.7%)

Pruning

50 alts after pruning (44 fresh and 6 done)

	Pruned	Kept	Total
New	1363	31	1394
Fresh	13	13	26
Picked	0	1	1
Done	1	5	6
Total	1377	50	1427

Error

0.0b

Counts

1427 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	3.9b	(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)))))))
	9.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	8.0b	(/.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (log1p.f32 u1))
	8.1b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	8.1b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.4b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (.f32 2 (*.f32 u2 (PI.f32))))
	6.4b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	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)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
	11.9b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (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)))
▶	8.1b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	3.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	10.9b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	6.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
	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))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	12.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) u2) 3/4) (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 3/2)) (.f32 (pow.f32 (.f32 (PI.f32) u2) 3/4) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 3/2)))))))
	11.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.4b	(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 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))))))
	14.2b	(.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)))))))
	30.4b	(.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	11.5b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
	11.3b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	16.7b	(.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))))))))
	8.9b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
	11.3b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
	11.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))))

Compiler

Compiled 1816 to 1500 computations (17.4% saved)

localize84.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 21 computations (68.7% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	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	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))))))

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	373	89
2	4699	81

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

Inputs

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

Algorithm

1×	egg-herbie

Rules

1194×	`+-commutative`
1010×	`associate-+r+`
956×	`associate-r`
908×	`associate-l`
762×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	542	13631
1	1513	12505
2	7266	12505

Stop Event

1×	node limit

Counts

199 → 330

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

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

localize36.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 14 computations (58.8% 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 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`sqrt-prod`
896×	`unswap-sqr`
792×	`swap-sqr`
438×	`sqr-pow`
424×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	285	25
2	3186	25

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1866×	`associate-*l/`
1080×	`distribute-lft-in`
1052×	`associate-+r+`
1016×	`associate-/l*`
1014×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	916
1	165	888
2	625	882
3	2212	882

Stop Event

1×	node limit

Counts

30 → 31

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

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

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 65 to 45 computations (30.8% saved)

series53.0ms (0.3%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(/.f32 1 (log1p.f32 u1))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`unswap-sqr`
906×	`swap-sqr`
508×	`associate-*r/`
404×	`associate-/r*`
364×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	65
1	379	49
2	4391	49

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-/r/`
710×	`associate-+r+`
710×	`+-commutative`
698×	`associate-+l+`
640×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	6391
1	1354	6017
2	5062	5991

Stop Event

1×	node limit

Counts

165 → 302

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

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

localize135.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	22.1b	(log.f32 (-.f32 1 (*.f32 u1 u1)))

Compiler

Compiled 86 to 48 computations (44.2% saved)

series17.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(log.f32 (-.f32 1 (*.f32 u1 u1)))
0.0ms	u1	@	inf	(log.f32 (-.f32 1 (*.f32 u1 u1)))

rewrite158.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`associate-*r/`
992×	`associate-*l/`
418×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
404×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	103
1	409	93
2	5180	93

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

Inputs

(log.f32 (-.f32 1 (*.f32 u1 u1)))

(*.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 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))

Outputs

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

simplify225.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate--r-`
902×	`fma-def`
830×	`associate--l-`
620×	`associate-r`
578×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	699	19606
1	1865	18240
2	7299	18240

Stop Event

1×	node limit

Counts

284 → 437

Calls

Call 1

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

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

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(expm1.f32 (*.f32 (PI.f32) u2))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
✓	12.8b	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))

Compiler

Compiled 77 to 35 computations (54.5% saved)

series65.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	u2	@	-inf	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
12.0ms	u2	@	inf	(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`distribute-rgt-in`
662×	`distribute-lft-in`
518×	`associate-*r/`
436×	`associate-*l/`
378×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	63
1	397	55
2	4606	55

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs

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

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))

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

Outputs

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

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1178×	`associate-+r+`
1030×	`associate-+l+`
724×	`+-commutative`
714×	`associate-/l*`
662×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	6187
1	1076	5363
2	4488	5357

Stop Event

1×	node limit

Counts

147 → 209

Calls

Call 1

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

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

eval1.2s (8%)

Compiler: Compiled 44276 to 25009 computations (43.5% saved)

prune523.0ms (3.4%)

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	1381	22	1403
Fresh	13	26	39
Picked	0	1	1
Done	4	6	10
Total	1398	55	1453

Error

0.0b

Counts

1453 → 55

Alt Table

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Status	Error	Program
	3.9b	(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)))))))
	11.4b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/3)
	8.0b	(/.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (log1p.f32 u1))
	8.0b	(/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (pow.f32 (log1p.f32 u1) -1/2))
	8.1b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.4b	(.f32 (.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1)))
	10.9b	(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
	6.4b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	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)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
	11.9b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (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)))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (+.f32 (/.f32 1 u1) 1/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (+.f32 (.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 0 (log1p.f32 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	10.9b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	6.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
▶	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
▶	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2)))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	12.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
	11.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	3.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (+.f32 1 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.4b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
	14.2b	(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
	2.4b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))))
	7.4b	(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
▶	0.6b	(.f32 (sin.f32 (.f32 2 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	11.5b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
	11.3b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	10.9b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	16.7b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
	19.7b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
▶	10.8b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	8.9b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
	10.9b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))
	11.2b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))

Compiler

Compiled 1939 to 1603 computations (17.3% saved)

localize90.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 101 to 54 computations (46.5% saved)

series3.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite129.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`distribute-lft-in`
650×	`associate-*r/`
520×	`associate-*l/`
452×	`add-sqr-sqrt`
434×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	77
1	465	73
2	5602	69

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs

(pow.f32 (PI.f32) 3)

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

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

Outputs

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

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1832×	`unswap-sqr`
714×	`distribute-lft-in`
704×	`distribute-rgt-in`
436×	`associate-/l*`
402×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	4841
1	756	4317
2	2637	3887

Stop Event

1×	node limit

Counts

91 → 139

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

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

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	-inf	(.f32 u2 (.f32 (PI.f32) (sqrt.f32 u1)))
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 (PI.f32) (sqrt.f32 u1))

rewrite57.0ms (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))))))))

simplify63.0ms (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)))

localize110.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.3b	(*.f32 u1 -1/3)
✓	0.4b	(.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))

Compiler

Compiled 99 to 62 computations (37.4% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`associate-*r/`
462×	`add-sqr-sqrt`
442×	`pow1`
442×	`*-un-lft-identity`
428×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	95
1	451	83
2	5902	83

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 (*.f32 u1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) 1) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1) (*.f32 (*.f32 (*.f32 u1 u1) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 u1) (/.f32 (+.f32 -1/2 (*.f32 1/3 u1)) (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 u1) (/.f32 (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))) (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3)))) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))) (*.f32 u1 u1)) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 (*.f32 u1 u1) -1/2)) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3)))) (-.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u1 u1) -1/2) 3) (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3)) (+.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 (*.f32 u1 u1) -1/2)) (-.f32 (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3))) (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (*.f32 u1 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))))) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (-.f32 (*.f32 (*.f32 u1 u1) 1/9) 1/4)) (-.f32 (*.f32 u1 -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (neg.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)))) (neg.f32 (+.f32 -1/2 (*.f32 1/3 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u1 u1) (neg.f32 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))))) (neg.f32 (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (*.f32 u1 u1) (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (*.f32 u1 u1) (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))))) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)) (*.f32 u1 u1))) (+.f32 -1/2 (*.f32 1/3 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))) (*.f32 u1 u1))) (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 (*.f32 u1 u1) -1/2)) (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3))))) (-.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 (pow.f32 (*.f32 (*.f32 u1 u1) -1/2) 3) (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3))) (+.f32 (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 (*.f32 u1 u1) -1/2)) (-.f32 (*.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/3 (pow.f32 u1 3))) (*.f32 (*.f32 (*.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (*.f32 u1 u1) (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) (sqrt.f32 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))))) (sqrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (*.f32 u1 u1) (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) (sqrt.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)))) (sqrt.f32 (+.f32 -1/2 (*.f32 1/3 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (*.f32 u1 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2)) (cbrt.f32 (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3))))) (cbrt.f32 (+.f32 (*.f32 (*.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (*.f32 u1 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2)) (cbrt.f32 (-.f32 1/4 (*.f32 (*.f32 u1 u1) 1/9)))) (cbrt.f32 (+.f32 -1/2 (*.f32 1/3 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 u1) -1/2 (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u1 -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u1 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/27 (pow.f32 u1 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u1 u1) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -1/3) u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 -1/27 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u1 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u1 -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u1 -1/3)))))))

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

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

968×	`unswap-sqr`
924×	`associate-/l*`
872×	`distribute-lft-in`
842×	`distribute-rgt-in`
624×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4680
1	713	4250
2	2753	4060

Stop Event

1×	node limit

Counts

108 → 142

Calls

Call 1

Inputs
(*.f32 -1/2 (pow.f32 u1 2))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(*.f32 -1/3 u1)
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2))))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (*.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))
(+.f32 (.f32 (.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 (*.f32 u1 u1) -1/2))
(+.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) 1) (.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1))
(+.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) 1) (.f32 (.f32 (*.f32 u1 u1) -1/2) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)))) 1)
(/.f32 (.f32 u1 u1) (/.f32 (+.f32 -1/2 (.f32 1/3 u1)) (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9))))
(/.f32 (.f32 u1 u1) (/.f32 (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1))) (+.f32 -1/8 (*.f32 -1/27 (pow.f32 u1 3)))))
(/.f32 (.f32 (.f32 u1 u1) (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9))) (+.f32 -1/2 (*.f32 1/3 u1)))
(/.f32 (.f32 (.f32 u1 u1) (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3)))) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1))))
(/.f32 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1)) (+.f32 -1/2 (*.f32 1/3 u1)))
(/.f32 (.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))) (.f32 u1 u1)) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 (.f32 u1 u1) -1/2)) (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3)))) (-.f32 (.f32 (.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 u1 u1) -1/2) 3) (pow.f32 (.f32 -1/3 (pow.f32 u1 3)) 3)) (+.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 (.f32 u1 u1) -1/2)) (-.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))) (.f32 (.f32 (.f32 u1 u1) -1/2) (*.f32 -1/3 (pow.f32 u1 3))))))
(/.f32 (.f32 u1 (.f32 u1 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (+.f32 -1/2 (*.f32 1/3 u1)))
(/.f32 (.f32 u1 (.f32 u1 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1))))
(/.f32 (.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 u1 u1) 1/9) 1/4)) (-.f32 (*.f32 u1 -1/3) -1/2))
(/.f32 (.f32 (.f32 u1 u1) (neg.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (neg.f32 (+.f32 -1/2 (*.f32 1/3 u1))))
(/.f32 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (neg.f32 (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (.f32 1/6 u1)))))
(/.f32 (.f32 1 (.f32 (.f32 u1 u1) (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (+.f32 -1/2 (.f32 1/3 u1)))
(/.f32 (.f32 1 (.f32 (.f32 u1 u1) (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))
(/.f32 (.f32 1 (.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)) (.f32 u1 u1))) (+.f32 -1/2 (.f32 1/3 u1)))
(/.f32 (.f32 1 (.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))) (.f32 u1 u1))) (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1))))
(/.f32 (.f32 1 (-.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 (.f32 u1 u1) -1/2)) (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))))) (-.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 -1/3 (pow.f32 u1 3))))
(/.f32 (.f32 1 (+.f32 (pow.f32 (.f32 (.f32 u1 u1) -1/2) 3) (pow.f32 (.f32 -1/3 (pow.f32 u1 3)) 3))) (+.f32 (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 (.f32 u1 u1) -1/2)) (-.f32 (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/3 (pow.f32 u1 3))) (.f32 (.f32 (.f32 u1 u1) -1/2) (.f32 -1/3 (pow.f32 u1 3))))))
(/.f32 (.f32 (.f32 (.f32 u1 u1) (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) (sqrt.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (sqrt.f32 (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1)))))
(/.f32 (.f32 (.f32 (.f32 u1 u1) (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) (sqrt.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (sqrt.f32 (+.f32 -1/2 (.f32 1/3 u1))))
(/.f32 (.f32 (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2)) (cbrt.f32 (+.f32 -1/8 (.f32 -1/27 (pow.f32 u1 3))))) (cbrt.f32 (+.f32 (.f32 (.f32 u1 u1) 1/9) (-.f32 1/4 (*.f32 1/6 u1)))))
(/.f32 (.f32 (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 (fma.f32 u1 -1/3 -1/2)) 2)) (cbrt.f32 (-.f32 1/4 (.f32 (.f32 u1 u1) 1/9)))) (cbrt.f32 (+.f32 -1/2 (.f32 1/3 u1))))
(pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 1)
(pow.f32 (*.f32 u1 (sqrt.f32 (fma.f32 u1 -1/3 -1/2))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))) 3)
(pow.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3) 1/3)
(sqrt.f32 (*.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 -1/3 -1/2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)))))
(cbrt.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3))
(expm1.f32 (log1p.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(exp.f32 (log.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))) 1))
(log1p.f32 (expm1.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2))))
(fma.f32 (.f32 u1 u1) -1/2 (.f32 -1/3 (pow.f32 u1 3)))
(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 -1/3))) 1)
(pow.f32 (*.f32 u1 -1/3) 1)
(pow.f32 (sqrt.f32 (*.f32 u1 -1/3)) 2)
(pow.f32 (cbrt.f32 (*.f32 u1 -1/3)) 3)
(pow.f32 (*.f32 -1/27 (pow.f32 u1 3)) 1/3)
(sqrt.f32 (.f32 (.f32 u1 u1) 1/9))
(log.f32 (pow.f32 (exp.f32 -1/3) u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 -1/3))))
(cbrt.f32 (*.f32 -1/27 (pow.f32 u1 3)))
(expm1.f32 (log1p.f32 (*.f32 u1 -1/3)))
(exp.f32 (log.f32 (*.f32 u1 -1/3)))
(exp.f32 (.f32 (log.f32 (.f32 u1 -1/3)) 1))
(log1p.f32 (expm1.f32 (*.f32 u1 -1/3)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 3) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)) (.f32 u1 (fma.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2) u1)))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (.f32 (pow.f32 (fma.f32 u1 -1/3 -1/2) 2) (pow.f32 u1 4)) (.f32 u1 u1)))) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2) u1)))
(pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 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 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) 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 (-.f32 (.f32 (*.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 -1/3 -1/2)) u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

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

localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (*.f32 u2 (PI.f32)))
	0.3b	(*.f32 u2 (PI.f32))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	0.7b	(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)

Compiler

Compiled 57 to 23 computations (59.6% saved)

series26.0ms (0.2%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
3.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
1.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
1.0ms	u2	@	0	(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))

rewrite444.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`unswap-sqr`
912×	`swap-sqr`
548×	`sqr-pow`
364×	`distribute-rgt-in`
342×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	366	51
2	4162	51

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

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

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

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1506×	`distribute-lft-in`
1414×	`associate-/l*`
990×	`associate-/r*`
700×	`associate-r`
698×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	308	4945
1	821	4005
2	3268	4005

Stop Event

1×	node limit

Counts

117 → 165

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

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

localize120.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 23 computations (73.3% saved)

series7.0ms (0%)

Counts

4 → 44

Calls

15 calls:

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

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`swap-sqr`
448×	`distribute-rgt-in`
392×	`add-sqr-sqrt`
380×	`*-un-lft-identity`
378×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	88
1	397	80
2	4802	80

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

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

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1536×	`distribute-lft-in`
1528×	`distribute-rgt-in`
796×	`associate-/r*`
764×	`associate-*r/`
718×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	4889
1	808	4493
2	3618	4481

Stop Event

1×	node limit

Counts

113 → 159

Calls

Call 1

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

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

eval618.0ms (4%)

Compiler: Compiled 28184 to 16817 computations (40.3% saved)

prune390.0ms (2.5%)

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	878	16	894
Fresh	8	35	43
Picked	1	0	1
Done	5	6	11
Total	892	57	949

Error

0.0b

Counts

949 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	11.4b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/3)
	8.0b	(/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (pow.f32 (log1p.f32 u1) -1/2))
	5.3b	(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (.f32 (-.f32 (.f32 -1/3 u1) 1/2) (pow.f32 u1 2)))))))
	8.1b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.9b	(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
	6.4b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
	11.9b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (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)))
	7.4b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (+.f32 (/.f32 1 u1) 1/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3) 1/3)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
	2.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))
✓	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))))
	3.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (exp.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))))))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (sqrt.f32 (.f32 (.f32 u1 u1) 1/9)))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (+.f32 (.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (.f32 0 (log1p.f32 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2)) 3)))
	6.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))) 3)))
	6.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
✓	6.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	7.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	1.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	12.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2)))))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	11.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (+.f32 1 u1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.4b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (.f32 u1 u1))))))
	14.2b	(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))
	2.4b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))))
	7.4b	(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
	10.9b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	11.3b	(.f32 u2 (.f32 (PI.f32) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))
	10.9b	(.f32 2 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 3))
	16.7b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
	19.7b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	7.4b	(.f32 2 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 (fma.f32 u1 -1/3 -1/2))))))))
	11.1b	(.f32 2 (.f32 u2 (pow.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 3) 1/3)))
	10.9b	(.f32 2 (.f32 u2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)))
	6.4b	(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))))
✓	10.8b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	8.9b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
	10.9b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))
	11.2b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))

Compiler

Compiled 1097 to 912 computations (16.9% saved)

regimes658.0ms (4.3%)

Counts

102 → 1

Calls

Call 1

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

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

Calls

10 calls:

103.0ms	(-.f32 1 u1)
90.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
72.0ms	(.f32 (.f32 2 (PI.f32)) u2)
64.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
50.0ms	(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 1741 to 1007 computations (42.2% saved)

regimes296.0ms (1.9%)

Counts

70 → 1

Calls

Call 1

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

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:

34.0ms	(.f32 (.f32 2 (PI.f32)) u2)
32.0ms	u1
31.0ms	u2
31.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
29.0ms	(-.f32 1 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 1068 to 634 computations (40.6% saved)

regimes213.0ms (1.4%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

10 calls:

23.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
23.0ms	u2
23.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u1
21.0ms	(-.f32 1 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 681 to 407 computations (40.2% saved)

regimes85.0ms (0.6%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	cosTheta_i
14.0ms	u1
14.0ms	(.f32 (.f32 2 (PI.f32)) u2)
14.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
13.0ms	u2

Results

Error	Segments	Branch
2.5b	1	`cosTheta_i`
2.5b	1	`u1`
2.5b	1	`u2`
2.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 340 to 213 computations (37.4% saved)

regimes102.0ms (0.7%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
21.0ms	u1
20.0ms	u2
20.0ms	(.f32 (.f32 2 (PI.f32)) u2)
9.0ms	cosTheta_i

Results

Error	Segments	Branch
3.5b	1	`cosTheta_i`
2.4b	2	`u1`
2.1b	2	`u2`
2.1b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.1b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 242 to 153 computations (36.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0017173863016068935	0.0017238946165889502

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes80.0ms (0.5%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	u1
18.0ms	(.f32 (.f32 2 (PI.f32)) u2)
16.0ms	u2
15.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
7.0ms	cosTheta_i

Results

Error	Segments	Branch
6.4b	1	`cosTheta_i`
4.1b	2	`u1`
3.3b	2	`u2`
4.3b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.3b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 193 to 118 computations (38.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.015177206136286259	0.015287486836314201

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes75.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
16.0ms	u1
16.0ms	(.f32 (.f32 2 (PI.f32)) u2)
15.0ms	u2
7.0ms	cosTheta_i

Results

Error	Segments	Branch
6.4b	1	`cosTheta_i`
4.1b	2	`u1`
3.3b	2	`u2`
4.3b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.3b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 179 to 107 computations (40.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.015177206136286259	0.015287486836314201

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes38.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

Calls

3 calls:

14.0ms	u2
14.0ms	u1
7.0ms	cosTheta_i

Results

Error	Segments	Branch
7.4b	1	`cosTheta_i`
5.8b	2	`u1`
4.8b	2	`u2`

Compiler

Compiled 140 to 81 computations (42.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.0009969711536541581	0.001028968719765544

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes16.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	u1
5.0ms	u2
4.0ms	cosTheta_i

Results

Error	Segments	Branch
8.1b	1	`cosTheta_i`
8.1b	1	`u1`
8.1b	1	`u2`

Compiler

Compiled 82 to 51 computations (37.8% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.7%)

Threshold costs -0.1b (-0.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	cosTheta_i
4.0ms	u1
4.0ms	u2

Results

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

Compiler

Compiled 49 to 32 computations (34.7% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

98×	`distribute-lft-neg-in`
88×	`*-commutative`
54×	`distribute-rgt-neg-in`
44×	`+-commutative`
44×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	666
1	130	666
2	152	666
3	191	650
4	229	650
5	274	650
6	313	650
7	344	650
8	348	650

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
(.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))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 14774687/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 4080219/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 4080219/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 8589935/8589934592) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (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))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 (neg.f32 u1)) (+.f32 -1/2 (.f32 u1 -1/3))))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (-.f32 1/2 (.f32 u1 -1/3))))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 14774687/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 14774687/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 14774687/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (neg.f32 u1) (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 14774687/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 4080219/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 4080219/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (/.f32 1 (/.f32 1 u1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 4080219/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 4080219/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 u2 8589935/8589934592) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 8589935/8589934592) (.f32 (.f32 2 (.f32 (PI.f32) u2)) (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 u2 8589935/8589934592) (.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (.f32 (neg.f32 u1) (.f32 u1 -1/2))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 u2 8589935/8589934592) (.f32 (.f32 2 (.f32 (PI.f32) u2)) (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 2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (.f32 (neg.f32 u1) (*.f32 u1 -1/2)))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

Compiler

Compiled 235 to 183 computations (22.1% saved)

soundness29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

end82.0ms (0.5%)

Compiler: Compiled 208 to 121 computations (41.8% 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	82	666
1	130	666
2	152	666
3	191	650
4	229	650
5	274	650
6	313	650
7	344	650
8	348	650

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	82	666
1	130	666
2	152	666
3	191	650
4	229	650
5	274	650
6	313	650
7	344	650
8	348	650

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	82	666
1	130	666
2	152	666
3	191	650
4	229	650
5	274	650
6	313	650
7	344	650
8	348	650

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