Details

analyze190.0ms (1.2%)

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)

sample3.1s (20.2%)

Results

3.1s	8256×	body	256	valid
1.0ms	5×	body	256	precondition

Bogosity

preprocess62.0ms (0.4%)

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)

simplify23.0ms (0.1%)

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

0.6b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize69.0ms (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)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	14.1b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series31.0ms (0.2%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.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	@	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)))

rewrite85.0ms (0.6%)

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 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)))))))))

simplify107.0ms (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))))

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.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)

series11.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

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

rewrite79.0ms (0.5%)

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))))))))

simplify103.0ms (0.7%)

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 (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))

eval320.0ms (2.1%)

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

prune146.0ms (0.9%)

Pruning

41 alts after pruning (39 fresh and 2 done)

	Pruned	Kept	Total
New	444	39	483
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	444	41	485

Error

0.1b

Counts

485 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	8.2b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
▶	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.2b	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (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)))
	2.2b	(.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)))
	2.7b	(.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)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 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))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	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)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 (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)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	3.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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)))
	2.1b	(.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)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
▶	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	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))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	19.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	8.2b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.5b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	9.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	8.1b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1513 to 1287 computations (14.9% saved)

localize91.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 30 computations (53.1% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`unswap-sqr`
932×	`swap-sqr`
378×	`distribute-rgt-in`
346×	`add-sqr-sqrt`
336×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	358	75
2	4143	75

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

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

(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))

(expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

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

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

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-/r*`
784×	`associate-*r/`
750×	`associate-l`
748×	`associate-*l/`
738×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	6471
1	899	5921
2	4073	5729

Stop Event

1×	node limit

Counts

123 → 193

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

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

localize74.0ms (0.5%)

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))
✓	0.3b	(.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)

series16.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	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	@	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	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite117.0ms (0.8%)

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)))))))

simplify106.0ms (0.7%)

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

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 48 to 28 computations (41.7% saved)

series122.0ms (0.8%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
80.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
15.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
11.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
4.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
4.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

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

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

simplify155.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

121 → 220

Calls

Call 1

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

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

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 30 computations (53.1% saved)

series61.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	u2	@	inf	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
29.0ms	u2	@	-inf	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
1.0ms	u2	@	0	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`unswap-sqr`
936×	`swap-sqr`
394×	`distribute-rgt-in`
348×	`distribute-lft-in`
346×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	360	75
2	4145	75

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

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

(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))

(log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

Outputs

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

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

simplify173.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1124×	`associate-/r*`
810×	`associate-r`
786×	`associate-l`
764×	`associate-*r/`
742×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	7181
1	956	6595
2	4571	6407

Stop Event

1×	node limit

Counts

129 → 190

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

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

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	0.8b	(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
	14.1b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 73 to 49 computations (32.9% saved)

series9.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
2.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
1.0ms	u2	@	0	(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
0.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`distribute-rgt-in`
530×	`associate-*r/`
508×	`distribute-lft-in`
442×	`associate-*l/`
388×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	62
1	408	56
2	4684	56

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))

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

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

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-/l*`
1014×	`distribute-lft-in`
1006×	`distribute-rgt-in`
944×	`unswap-sqr`
712×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	4261
1	628	3879
2	2453	3705

Stop Event

1×	node limit

Counts

71 → 119

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 1 1/3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 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 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (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 -1/2 (.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (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 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (.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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1))) (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (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 (log.f32 -1) (log.f32 u1))))) 2))))))))
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eval905.0ms (5.9%)

Compiler: Compiled 39011 to 26452 computations (32.2% saved)

prune472.0ms (3.1%)

Pruning

56 alts after pruning (50 fresh and 6 done)

	Pruned	Kept	Total
New	1207	29	1236
Fresh	13	21	34
Picked	0	1	1
Done	1	5	6
Total	1221	56	1277

Error

0.1b

Counts

1277 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	11.5b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))) 2)
	8.2b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 2 (*.f32 u2 (PI.f32))))
	8.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.5b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (.f32 2 (*.f32 u2 (PI.f32))))
	12.2b	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (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)))
	1.0b	(.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)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	3.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
	2.7b	(.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)))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	3.7b	(.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 (.f32 (.f32 2 (PI.f32)) u2)))
	3.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	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)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 (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)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
▶	10.9b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	12.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	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))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)))
▶	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
	13.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)))
▶	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
	2.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	2.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.4b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	20.0b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	11.4b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
▶	9.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2)))
	8.1b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 2013 to 1713 computations (14.9% saved)

localize83.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series58.0ms (0.4%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	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)))
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	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite136.0ms (0.9%)

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

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

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

simplify93.0ms (0.6%)

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

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

localize396.0ms (2.6%)

Local error

Found 2 expressions with local error:

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

rewrite74.0ms (0.5%)

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))))))))))

simplify60.0ms (0.4%)

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)))

localize56.0ms (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 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) 2))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.5b	(pow.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) 2)

Compiler

Compiled 54 to 36 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`unswap-sqr`
836×	`swap-sqr`
492×	`sqr-pow`
484×	`pow-sqr`
288×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	278	60
2	3206	60

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1158×	`unswap-sqr`
906×	`times-frac`
802×	`associate-/l*`
802×	`distribute-lft-in`
796×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4659
1	719	4449
2	2556	4177

Stop Event

1×	node limit

Counts

93 → 171

Calls

Call 1

Inputs
(.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6)))))))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1/4 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4))))))
(.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1)))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1)))))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2)))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))))))
(.f32 4 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 4)))) (.f32 4 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 u2 6) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6)))))))
(+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (.f32 (pow.f32 u2 8) (log.f32 (+.f32 1 u1)))) (.f32 (pow.f32 u2 6) (.f32 (log.f32 (+.f32 1 u1)) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6))))))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (+.f32 1 u1)))
(+.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))) -1)
(+.f32 1/2 (.f32 -1/2 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4))))
(+.f32 1/2 (neg.f32 (.f32 1/2 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))) 1)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) 1)
(.f32 1 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2))
(.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 4))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 4) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
(.f32 4 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4))) 1/2)
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2)))
(.f32 (.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)))) 4))) (.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)))) 4))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 4))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 4))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 4)) (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 4)) (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (sqrt.f32 (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) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2) 3/2))
(.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 6) 1/6) (pow.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 6) 1/6))
(/.f32 1 (/.f32 2 (-.f32 (cos.f32 0) (cos.f32 (.f32 (.f32 (PI.f32) u2) 4)))))
(/.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 (.f32 (PI.f32) u2) 4))) 2)
(/.f32 (.f32 1 (-.f32 (cos.f32 0) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4)))) 2)
(/.f32 (.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4))) 1) 2)
(/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))) (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))) 1) (+.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2))) 1))
(/.f32 (-.f32 1/4 (.f32 (.f32 1/2 (cos.f32 (.f32 (.f32 (PI.f32) u2) 4))) (.f32 1/2 (cos.f32 (.f32 (.f32 (PI.f32) u2) 4))))) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (.f32 (PI.f32) u2) 4)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))) 3) 1) (+.f32 (.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))) (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))) (+.f32 1 (.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))) 1))))
(/.f32 (-.f32 1/8 (pow.f32 (.f32 1/2 (cos.f32 (.f32 (.f32 (PI.f32) u2) 4))) 3)) (+.f32 1/4 (+.f32 (.f32 (.f32 1/2 (cos.f32 (.f32 (.f32 (PI.f32) u2) 4))) (.f32 1/2 (cos.f32 (.f32 (.f32 (PI.f32) u2) 4)))) (.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (.f32 (PI.f32) u2) 4)))))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 4))
(log.f32 (exp.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 6))
(expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(exp.f32 (.f32 2 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(+.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))) -1)
(-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))) 1)
(/.f32 (.f32 (log1p.f32 u1) (-.f32 (cos.f32 0) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4)))) 2)
(/.f32 (.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 (*.f32 (PI.f32) u2) 4))) (log1p.f32 u1)) 2)
(/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))) (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) (log1p.f32 u1))))) 1) (+.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))) 3) 1) (+.f32 (.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))) (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) (log1p.f32 u1))))) (+.f32 1 (.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))) 1))))
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)) 1)
(pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 2)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 4))
(log.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)) 3))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 6) (pow.f32 (log1p.f32 u1) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 6)))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1))))
(exp.f32 (log.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1))))

Outputs
(.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 4 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 (PI.f32) 2) (.f32 4 (*.f32 u2 u2)))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 (PI.f32) 4) (.f32 -16/3 (pow.f32 u2 4))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 128/45))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 (.f32 -16/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 128/45))))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (pow.f32 (PI.f32) 4) (*.f32 -16/3 (pow.f32 u2 4)))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6)))))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -256/315) (pow.f32 u2 8) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45)))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (pow.f32 (PI.f32) 8) (.f32 -256/315 (pow.f32 u2 8))))))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (pow.f32 (PI.f32) 8) (.f32 -256/315 (pow.f32 u2 8))))))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) u1)
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1)
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (.f32 u1 u1)) (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) u1))
(fma.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 (*.f32 u1 u1) -1/2)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (+.f32 u1 (.f32 (*.f32 u1 u1) -1/2)))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (.f32 u1 u1)) (fma.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) u1)))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (fma.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 (pow.f32 u1 3) 1/3))))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (+.f32 u1 (.f32 (pow.f32 u1 3) 1/3))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1/4 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4))))))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (.f32 u1 u1)) (fma.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (pow.f32 u1 3)) (fma.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) u1 (.f32 -1/4 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (pow.f32 u1 4))))))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1)) (fma.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3)) (fma.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (*.f32 (pow.f32 u1 4) -1/4)))))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (+.f32 u1 (.f32 (.f32 u1 u1) -1/2))) (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (+.f32 (.f32 (pow.f32 u1 3) 1/3) (.f32 (pow.f32 u1 4) -1/4))))
(.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))
(neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (neg.f32 (log.f32 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (neg.f32 (neg.f32 (log.f32 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log.f32 u1))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1)))))
(+.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (neg.f32 (log.f32 u1)))) (/.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) u1))
(-.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (log.f32 u1)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) u1) (fma.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (.f32 u1 u1)) (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (neg.f32 (log.f32 u1))))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (-.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (.f32 u1 u1))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1)))))
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(pow.f32 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)) 3) 1/3)
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 4))
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1))) 4))
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 4))
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 4))
(log.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)))))
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(cbrt.f32 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1)) 3))
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 6) (pow.f32 (log1p.f32 u1) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 6)))
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(exp.f32 (log.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2) (log1p.f32 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1))

localize172.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 98 to 48 computations (51% saved)

series46.0ms (0.3%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
38.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`associate-*r/`
650×	`associate-*l/`
442×	`add-sqr-sqrt`
426×	`*-un-lft-identity`
424×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	162
1	436	154
2	5596	154

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) (.f32 (PI.f32) (.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (PI.f32) (.f32 2 u2)) 1) (.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) 1) (.f32 (.f32 (PI.f32) (.f32 2 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (fma.f32 (PI.f32) (.f32 u2 (.f32 u2 -2)) (.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (PI.f32) (/.f32 (-.f32 (.f32 2 u2) (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2)))) (-.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (PI.f32) (/.f32 (+.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2)))) (+.f32 (.f32 (pow.f32 u2 3) 8) (.f32 -8 (pow.f32 (.f32 (PI.f32) (.f32 u2 u2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (-.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))) (-.f32 (.f32 2 u2) (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (+.f32 (.f32 (pow.f32 u2 3) 8) (.f32 -8 (pow.f32 (.f32 (PI.f32) (.f32 u2 u2)) 3)))) (+.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))) (PI.f32)) (-.f32 (.f32 2 u2) (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 (pow.f32 u2 3) 8) (.f32 -8 (pow.f32 (.f32 (PI.f32) (.f32 u2 u2)) 3))) (PI.f32)) (+.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)))) (-.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3) (pow.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) 3)) (+.f32 (.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (PI.f32) (.f32 2 u2))) (-.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2))) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (-.f32 (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 u2) 4))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (neg.f32 (-.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))))) (neg.f32 (-.f32 (.f32 2 u2) (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (neg.f32 (+.f32 (.f32 (pow.f32 u2 3) 8) (.f32 -8 (pow.f32 (.f32 (PI.f32) (.f32 u2 u2)) 3))))) (neg.f32 (+.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (PI.f32) (-.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))))) (-.f32 (.f32 2 u2) (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (PI.f32) (+.f32 (.f32 (pow.f32 u2 3) 8) (.f32 -8 (pow.f32 (.f32 (PI.f32) (.f32 u2 u2)) 3))))) (+.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (-.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))) (PI.f32))) (-.f32 (.f32 2 u2) (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (+.f32 (.f32 (pow.f32 u2 3) 8) (.f32 -8 (pow.f32 (.f32 (PI.f32) (.f32 u2 u2)) 3))) (PI.f32))) (+.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (-.f32 (.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2))))) (-.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (+.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3) (pow.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) 3))) (+.f32 (.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (PI.f32) (.f32 2 u2))) (-.f32 (.f32 (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2))) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 (.f32 u2 (.f32 u2 -2)) (pow.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (PI.f32) (.f32 u2 (.f32 u2 -2)) (.f32 2 u2)))) (sqrt.f32 (-.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))))) (sqrt.f32 (-.f32 (.f32 2 u2) (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (PI.f32) (.f32 u2 (.f32 u2 -2)) (.f32 2 u2)))) (sqrt.f32 (+.f32 (.f32 (pow.f32 u2 3) 8) (.f32 -8 (pow.f32 (.f32 (PI.f32) (.f32 u2 u2)) 3))))) (sqrt.f32 (+.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (fma.f32 (PI.f32) (.f32 u2 (.f32 u2 -2)) (.f32 2 u2))) 2)) (cbrt.f32 (-.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))))) (cbrt.f32 (-.f32 (.f32 2 u2) (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (fma.f32 (PI.f32) (.f32 u2 (.f32 u2 -2)) (.f32 2 u2))) 2)) (cbrt.f32 (+.f32 (.f32 (pow.f32 u2 3) 8) (.f32 -8 (pow.f32 (.f32 (PI.f32) (.f32 u2 u2)) 3))))) (cbrt.f32 (+.f32 (.f32 (.f32 u2 u2) 4) (.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (-.f32 (.f32 -2 (.f32 (PI.f32) (.f32 u2 u2))) (.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (.f32 (.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 u2) 4)) (PI.f32)) (-.f32 (.f32 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simplify178.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1784×	`associate-/r*`
792×	`associate-r`
784×	`associate-l`
760×	`associate-*r/`
626×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	14302
1	1257	13046
2	5739	13046

Stop Event

1×	node limit

Counts

180 → 232

Calls

Call 1

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

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

localize87.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
✓	14.4b	(-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)

Compiler

Compiled 93 to 53 computations (43% saved)

series33.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
14.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
0.0ms	u2	@	0	(log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`associate-*r/`
876×	`associate-*l/`
438×	`add-sqr-sqrt`
424×	`*-un-lft-identity`
420×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	135
1	434	109
2	5423	75

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs

(-.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))

(log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (+.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (-.f32 (+.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 2 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) -4) (/.f32 1 (+.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3) -8) (/.f32 1 (+.f32 (*.f32 2 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (+.f32 4 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) (+.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (*.f32 2 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (+.f32 4 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (+.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) -4) (+.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3) -8) (+.f32 (*.f32 2 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (+.f32 4 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3) -8) (-.f32 (+.f32 4 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (*.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 (+.f32 (exp.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (log.f32 (sqrt.f32 (exp.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 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (log.f32 (cbrt.f32 (exp.f32 (sin.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 (+.f32 0 (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 *.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 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (sin.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (sin.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))) (sin.f32 (+.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) 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 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 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 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))))))

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1160×	`associate-*r/`
1076×	`associate-*l/`
984×	`associate-/r*`
806×	`+-commutative`
778×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	434	10289
1	1174	9257
2	5464	9167

Stop Event

1×	node limit

Counts

155 → 231

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 -8/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(.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 1/2 (.f32 (.f32 (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (.f32 4 (pow.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 1/6 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (+.f32 (.f32 -24 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 6 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3)))) (.f32 16 (pow.f32 (PI.f32) 3)))))) (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 1/2 (.f32 (.f32 (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (.f32 4 (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 1/24 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 -8/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 -48 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3))) (PI.f32))) (+.f32 (.f32 192 (pow.f32 (PI.f32) 4)) (.f32 -96 (pow.f32 (PI.f32) 4)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 1/6 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (+.f32 (.f32 -24 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 6 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3)))) (.f32 16 (pow.f32 (PI.f32) 3)))))) (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 1/2 (.f32 (.f32 (+.f32 (.f32 -4 (pow.f32 (PI.f32) 2)) (.f32 4 (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
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(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 0)
(+.f32 0 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(+.f32 (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)
(-.f32 (+.f32 0 (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)))))
(.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 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) (sin.f32 (+.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) 2)
(/.f32 (.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) (sin.f32 (+.f32 (.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))) 2) 2)
(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)))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1))

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

eval669.0ms (4.3%)

Compiler: Compiled 35714 to 22021 computations (38.3% saved)

prune510.0ms (3.3%)

Pruning

63 alts after pruning (56 fresh and 7 done)

	Pruned	Kept	Total
New	1148	21	1169
Fresh	10	35	45
Picked	0	1	1
Done	4	6	10
Total	1162	63	1225

Error

0.1b

Counts

1225 → 63

Alt Table

Click to see full alt table

Status	Error	Program
	11.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 2)
	8.2b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.2b	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.9b	(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
	5.7b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 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)))
	1.0b	(.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)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
▶	8.2b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
	2.7b	(.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)))
▶	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	3.7b	(.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))))
	3.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	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)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	11.0b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	6.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) (fma.f32 (PI.f32) (.f32 u2 (.f32 u2 -2)) (*.f32 2 u2))))) 2))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	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))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	15.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (fma.f32 (hypot.f32 1 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (hypot.f32 1 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) -2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (fma.f32 (cbrt.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)) (cbrt.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) -2)))
	12.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (expm1.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 3)) (+.f32 1 (.f32 (+.f32 -1 (expm1.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (+.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) -3))))))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))) 2)))
✓	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
	9.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
	13.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)))
	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (.f32 -2 (-.f32 (.f32 (PI.f32) (*.f32 u2 u2)) u2)))))
▶	2.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	2.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.6b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	8.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.4b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	10.9b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	20.0b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
▶	10.9b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	8.4b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) u1))
	9.1b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)) 2)))
	10.9b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))

Compiler

Compiled 2332 to 1956 computations (16.1% saved)

localize97.0ms (0.6%)

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))
✓	0.4b	(.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)

series2.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite95.0ms (0.6%)

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

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

simplify202.0ms (1.3%)

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

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

simplify62.0ms (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)))

localize115.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 1 (log1p.f32 u1))
✓	0.3b	(/.f32 -1 (/.f32 1 (log1p.f32 u1)))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.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)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite84.0ms (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))))))))))

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simplify129.0ms (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))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.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))))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2))))) (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 (/.f32 (.f32 -1/2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))) (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)))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.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)))))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2))))) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 -1)) (/.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 3)))) (.f32 (/.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 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))) (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 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (pow.f32 u1 3))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 -1)) (/.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (pow.f32 u1 3))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log.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 (+.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)))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))))
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(/.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))

localize90.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	0.8b	(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)

Compiler

Compiled 90 to 56 computations (37.8% saved)

series4.0ms (0%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`associate-*r/`
658×	`associate-*l/`
428×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
404×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	51
1	443	47
2	5278	47

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (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 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (*.f32 -1/8 (pow.f32 (*.f32 u1 u1) 3)) (pow.f32 u1 3)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (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 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1/8 (pow.f32 (*.f32 u1 u1) 3)) (pow.f32 u1 3))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (*.f32 -1/8 (pow.f32 (*.f32 u1 u1) 3)) (pow.f32 u1 3))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 2) (*.f32 u1 (fma.f32 -1/2 (*.f32 u1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)) (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 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1)) 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 u1 (-.f32 (*.f32 -1/2 u1) 1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 u1 (-.f32 (*.f32 -1/2 u1) 1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1194×	`distribute-lft-in`
1160×	`distribute-rgt-in`
1068×	`associate-/r*`
970×	`associate-/l*`
852×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	3058
1	456	2992
2	1395	2820
3	3681	2820

Stop Event

1×	node limit

Counts

42 → 101

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 1/2) u1))
(.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 u1 (.f32 (sqrt.f32 1/2) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 1/2) u1)))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 u1 (.f32 (sqrt.f32 1/2) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(fma.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (/.f32 1/2 (sqrt.f32 1/2)) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 1/2) u1)) (.f32 -1/8 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 1/2) 3) u1)))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 1/2) u1) (.f32 -1/8 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (/.f32 -1/8 u1) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 1/2 (sqrt.f32 1/2))))))
(fma.f32 (/.f32 -1/4 (sqrt.f32 1/2)) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (fma.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (/.f32 1/2 (sqrt.f32 1/2)) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 1/2) u1)) (.f32 -1/8 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))) (fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 1/2) u1) (.f32 -1/8 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))) (fma.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (/.f32 -1/8 u1) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 1/2 (sqrt.f32 1/2)))))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 (/.f32 -1/4 (sqrt.f32 1/2)) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (fma.f32 (/.f32 (/.f32 1/16 u1) u1) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 1/2) 5)) (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(fma.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 (sqrt.f32 1/2) (.f32 u1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 5)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (/.f32 -1/4 u1)))))
(.f32 -1 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 1/2) u1)))
(neg.f32 (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (neg.f32 (.f32 (sqrt.f32 1/2) u1)))
(.f32 (.f32 (sqrt.f32 1/2) u1) (neg.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 -1 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 1/2) u1))))
(fma.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (neg.f32 (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(-.f32 (/.f32 (.f32 -1/2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 1/2)) (.f32 u1 (.f32 (sqrt.f32 1/2) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(-.f32 (/.f32 (.f32 -1/2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 1/2)) (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) -1/2) (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 -1 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 1/2) u1)))))
(fma.f32 1/8 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) (fma.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (neg.f32 (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 1/2 (.f32 (sqrt.f32 1/2) u1))) 1/8 (/.f32 (.f32 -1/2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (sqrt.f32 1/2) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(fma.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) -1/2 (fma.f32 (/.f32 1/4 (sqrt.f32 1/2)) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (.f32 (.f32 (sqrt.f32 1/2) u1) (neg.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (/.f32 1/4 u1))) (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/16 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))) (.f32 -1 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 1/2) u1))))))
(fma.f32 1/8 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) (fma.f32 -1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 -1/16 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))) (neg.f32 (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
(fma.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 1/2 (.f32 (sqrt.f32 1/2) u1))) 1/8 (-.f32 (fma.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (.f32 u1 u1))) -1/16)) (.f32 u1 (.f32 (sqrt.f32 1/2) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
(fma.f32 (/.f32 1/4 (sqrt.f32 1/2)) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (-.f32 (fma.f32 (/.f32 -1/16 (.f32 u1 u1)) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 1/2) 5)) (/.f32 (.f32 -1/2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 1/2))) (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(fma.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)) -1/2 (fma.f32 (/.f32 1/4 (sqrt.f32 1/2)) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (/.f32 -1/16 (pow.f32 (sqrt.f32 1/2) 5))) (.f32 (.f32 (sqrt.f32 1/2) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(.f32 2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 u2 (PI.f32))))
(.f32 2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)) (.f32 2 (.f32 u2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 u2 (PI.f32)))) (.f32 -4/3 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(fma.f32 2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3)))
(.f32 (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 u2 (PI.f32)))) (+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (.f32 4/15 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (.f32 u2 (PI.f32))) (fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))))) (fma.f32 4/15 (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3))))
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(.f32 (sqrt.f32 (.f32 u1 (fma.f32 -1/2 u1 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(cbrt.f32 (.f32 (pow.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u1 (fma.f32 -1/2 u1 -1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 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 u1 (-.f32 (*.f32 -1/2 u1) 1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u1 (fma.f32 -1/2 u1 -1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 -1/2 u1 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 -1/2 u1 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 -1/2 u1 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (.f32 u1 (-.f32 (.f32 -1/2 u1) 1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 -1/2 u1 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))

localize87.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(expm1.f32 (exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
✓	1.4b	(exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))

Compiler

Compiled 85 to 45 computations (47.1% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`unswap-sqr`
976×	`swap-sqr`
428×	`distribute-rgt-in`
382×	`distribute-lft-in`
364×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	392	75
2	4332	75

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

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

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

(expm1.f32 (exp.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))

Outputs

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

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

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-/r*`
824×	`associate-l`
806×	`associate-r`
784×	`associate-*r/`
742×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	7335
1	979	6755
2	4660	6567

Stop Event

1×	node limit

Counts

131 → 206

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -8 (pow.f32 (PI.f32) 3)) (.f32 16 (pow.f32 (PI.f32) 3)))))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -96 (pow.f32 (PI.f32) 4)) (.f32 64 (pow.f32 (PI.f32) 4))))) (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -8 (pow.f32 (PI.f32) 3)) (.f32 16 (pow.f32 (PI.f32) 3))))))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 1)
(.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 1 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2))))
(.f32 (.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
(pow.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (sqrt.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(pow.f32 (exp.f32 1) (log.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 3) 1)) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(/.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)
(/.f32 (.f32 (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(/.f32 (.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 3) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(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 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 0)
(+.f32 1 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) -1))
(+.f32 1 (-.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(+.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) -1)
(+.f32 -1 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(-.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 1)
(-.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)
(.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 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.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)))))
(.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 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))))))
(.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))))))
(.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))))
(.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))))
(.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)))))))
(.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 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) 1) (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 3) 1) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (.f32 2 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (.f32 1 (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 3) 1)) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(/.f32 (.f32 (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) 1) 1) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(/.f32 (.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 3) 1) 1) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(/.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(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))
(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 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 2 (PI.f32)) u2)
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)))))
(.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (*.f32 u2 u2)) (PI.f32))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -8 (pow.f32 (PI.f32) 3)) (.f32 16 (pow.f32 (PI.f32) 3)))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 (.f32 1/6 (pow.f32 u2 3)) (.f32 (pow.f32 (PI.f32) 3) 8))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 1/6 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) 8)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 1/6 (.f32 (pow.f32 (PI.f32) 3) (.f32 8 (pow.f32 u2 3))))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -96 (pow.f32 (PI.f32) 4)) (.f32 64 (pow.f32 (PI.f32) 4))))) (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -8 (pow.f32 (PI.f32) 3)) (.f32 16 (pow.f32 (PI.f32) 3))))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -32)) (.f32 (.f32 1/6 (pow.f32 u2 3)) (.f32 (pow.f32 (PI.f32) 3) 8)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (.f32 1/6 (pow.f32 u2 3)) (.f32 (pow.f32 (PI.f32) 3) 8) (.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -32))))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 -2 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 1/6 (.f32 (pow.f32 (PI.f32) 3) (.f32 8 (pow.f32 u2 3))) (.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) (.f32 -32 (pow.f32 u2 4)))))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
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(.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 (.f32 2 (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 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) 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 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) 1) (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (.f32 (+.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) 1) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 2 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 2 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(.f32 (/.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 3) 1) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) 3) -1) (fma.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 2 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (fma.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)))
(/.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 (.f32 2 (PI.f32)) u2)) (sin.f32 (*.f32 (PI.f32) 0))) 1)
(+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sin.f32 0))
(/.f32 (.f32 1 (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(/.f32 (.f32 (+.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) 1) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 2 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 2 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(.f32 (/.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (.f32 1 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 3) 1)) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) 3) -1) (fma.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 2 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (fma.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)))
(/.f32 (.f32 (-.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) 1) 1) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(/.f32 (.f32 (+.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) 1) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 2 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 2 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(.f32 (/.f32 (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) 3) 1) 1) (+.f32 (.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) 3) -1) (fma.f32 (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 1 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))) (+.f32 2 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (fma.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)))
(/.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 (.f32 2 (PI.f32)) u2)) (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 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(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 (.f32 2 (PI.f32)) u2))
(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 (.f32 2 (PI.f32)) u2)) 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 (.f32 2 (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 (.f32 2 (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 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 (.f32 2 (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 (.f32 2 (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 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))

eval1.0s (6.7%)

Compiler: Compiled 34099 to 20918 computations (38.7% saved)

prune455.0ms (2.9%)

Pruning

66 alts after pruning (57 fresh and 9 done)

	Pruned	Kept	Total
New	1117	15	1132
Fresh	9	42	51
Picked	0	1	1
Done	3	8	11
Total	1129	66	1195

Error

0.1b

Counts

1195 → 66

Alt Table

Click to see full alt table

Status	Error	Program
	6.3b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3)))
	11.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 2)
	8.2b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	8.2b	(/.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (pow.f32 (log1p.f32 u1) -1/2))
	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	8.7b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	12.2b	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (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)))
	5.7b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	3.7b	(.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	8.1b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.0b	(.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)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	8.3b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	7.5b	(.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
	2.7b	(.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)))
	8.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	3.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	5.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	3.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	13.8b	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	6.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) (fma.f32 (PI.f32) (.f32 u2 (.f32 u2 -2)) (*.f32 2 u2))))) 2))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 2 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	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))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	15.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (fma.f32 (hypot.f32 1 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (hypot.f32 1 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) -2)))
	13.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (fma.f32 (cbrt.f32 (pow.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)) (cbrt.f32 (+.f32 1 (exp.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) -2)))
	12.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (expm1.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 3)) (+.f32 1 (.f32 (+.f32 -1 (expm1.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (+.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) -3))))))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))) 2)))
✓	14.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
	9.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)))
	13.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)))
✓	2.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.5b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.6b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	8.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.9b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	11.0b	(.f32 2 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 3))
	20.0b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
✓	10.9b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	11.1b	(.f32 2 (.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
	8.4b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) u1))
	10.9b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))

Compiler

Compiled 1288 to 1078 computations (16.3% saved)

regimes670.0ms (4.3%)

Counts

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

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

Calls

10 calls:

161.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
65.0ms	(log.f32 (-.f32 1 u1))
56.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))
49.0ms	u2
46.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Error	Segments	Branch
0.6b	1	`cosTheta_i`
0.6b	1	`u1`
0.6b	1	`u2`
0.6b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.6b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.6b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.6b	1	`(log.f32 (-.f32 1 u1))`
0.6b	1	`(-.f32 1 u1)`
0.6b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.6b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1797 to 1046 computations (41.8% saved)

regimes375.0ms (2.4%)

Counts

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

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:

128.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
30.0ms	cosTheta_i
29.0ms	u1
29.0ms	(.f32 (.f32 2 (PI.f32)) u2)
28.0ms	u2

Results

Error	Segments	Branch
0.6b	1	`cosTheta_i`
0.6b	1	`u1`
0.6b	1	`u2`
0.6b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.6b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.6b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.6b	1	`(log.f32 (-.f32 1 u1))`
0.6b	1	`(-.f32 1 u1)`
0.6b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.6b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1023 to 601 computations (41.3% saved)

regimes198.0ms (1.3%)

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

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

Calls

10 calls:

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

Results

Error	Segments	Branch
0.6b	1	`cosTheta_i`
0.6b	1	`u1`
0.6b	1	`u2`
0.6b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.6b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.6b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.6b	1	`(log.f32 (-.f32 1 u1))`
0.6b	1	`(-.f32 1 u1)`
0.6b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.6b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 676 to 403 computations (40.4% saved)

regimes137.0ms (0.9%)

Counts

25 → 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 (+.f32 u1 (.f32 1/2 (.f32 u1 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 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) 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 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 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (sin.f32 (.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)))
(.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 2 (.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) u1))
(.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))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))

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

Calls

5 calls:

35.0ms	u2
31.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u1
19.0ms	cosTheta_i

Results

Error	Segments	Branch
2.7b	1	`cosTheta_i`
1.4b	2	`u1`
1.1b	2	`u2`
1.1b	3	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.1b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 317 to 195 computations (38.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008623497560620308	0.0009471802623011172

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes161.0ms (1%)

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

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

Calls

5 calls:

62.0ms	(.f32 (.f32 2 (PI.f32)) u2)
43.0ms	cosTheta_i
20.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
16.0ms	u1
16.0ms	u2

Results

Error	Segments	Branch
3.7b	1	`cosTheta_i`
1.8b	2	`u1`
1.5b	2	`u2`
2.5b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.5b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 210 to 134 computations (36.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0032164084259420633	0.0033504387829452753

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes70.0ms (0.5%)

Counts

14 → 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 (+.f32 u1 (.f32 1/2 (.f32 u1 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 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) 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 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 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Calls

5 calls:

16.0ms	u2
15.0ms	(.f32 (.f32 2 (PI.f32)) u2)
14.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
14.0ms	u1
7.0ms	cosTheta_i

Results

Error	Segments	Branch
5.7b	1	`cosTheta_i`
3.4b	2	`u1`
2.5b	2	`u2`
3.4b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.5b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 179 to 115 computations (35.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006590353325009346	0.007208750117570162

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes34.0ms (0.2%)

Counts

11 → 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 (+.f32 u1 (.f32 1/2 (.f32 u1 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 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) 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 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))

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

Calls

3 calls:

13.0ms	u2
12.0ms	u1
6.0ms	cosTheta_i

Results

Error	Segments	Branch
7.5b	1	`cosTheta_i`
5.8b	2	`u1`
4.9b	2	`u2`

Compiler

Compiled 126 to 78 computations (38.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.0010488872649148107	0.0011473081540316343

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes33.0ms (0.2%)

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

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

Calls

3 calls:

21.0ms	u2
5.0ms	cosTheta_i
5.0ms	u1

Results

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

Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes42.0ms (0.3%)

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

Calls

3 calls:

33.0ms	cosTheta_i
4.0ms	u1
4.0ms	u2

Results

Error	Segments	Branch
10.9b	1	`cosTheta_i`
10.9b	1	`u1`
10.9b	1	`u2`

Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
10.9b	1	`cosTheta_i`
10.9b	1	`u1`
10.9b	1	`u2`

Compiler

Compiled 31 to 22 computations (29% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

86×	`distribute-lft-neg-in`
84×	`*-commutative`
46×	`distribute-rgt-neg-in`
40×	`+-commutative`
36×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	661
1	124	661
2	144	661
3	174	657
4	202	657
5	238	657
6	274	657
7	308	657
8	315	657

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7730941/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 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) 885837/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 295279/268435456) (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.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 (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))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7730941/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7730941/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7730941/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.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) 885837/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 885837/268435456) (.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 (+.f32 u1 (.f32 (.f32 u1 u1) 1/2)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/1073741824) (.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 295279/268435456) (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 295279/268435456) (.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) 1/2)))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (.f32 (*.f32 u1 u1) 1/2))))
(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) u2) (*.f32 2 (sqrt.f32 u1)))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

Compiler

Compiled 240 to 185 computations (22.9% 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)

end111.0ms (0.7%)

Compiler: Compiled 210 to 113 computations (46.2% 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	76	661
1	124	661
2	144	661
3	174	657
4	202	657
5	238	657
6	274	657
7	308	657
8	315	657

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	76	661
1	124	661
2	144	661
3	174	657
4	202	657
5	238	657
6	274	657
7	308	657
8	315	657

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	76	661
1	124	661
2	144	661
3	174	657
4	202	657
5	238	657
6	274	657
7	308	657
8	315	657

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