Details

analyze263.0ms (1.8%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.8s (19.2%)

Results

2.7s	8256×	body	256	valid
1.0ms	4×	body	256	precondition

Bogosity

preprocess41.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.7b	(.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)

localize66.0ms (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 (.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)))
✓	14.3b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series37.0ms (0.3%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	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)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	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)))

rewrite99.0ms (0.7%)

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

simplify109.0ms (0.8%)

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))))

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series12.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	0	(.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))))

rewrite82.0ms (0.6%)

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

eval244.0ms (1.7%)

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

prune131.0ms (0.9%)

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	446	37	483
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	446	39	485

Error

0.1b

Counts

485 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	9.4b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	8.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	9.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.7b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.7b	(.f32 (.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)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.9b	(.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)))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	1.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
▶	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	0.7b	(.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))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	15.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.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))))))
	0.5b	(.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))))))
	0.5b	(.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))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	13.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
✓	13.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	19.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	9.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.6b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	9.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	10.0b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	8.6b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1375 to 1177 computations (14.4% saved)

localize94.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.2b	(-.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)

series34.0ms (0.2%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	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)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite125.0ms (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))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (-.f32 0 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 -1 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 u1 u1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 1 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 1 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 1 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 -1 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 -1 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 -1 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (*.f32 u1 u1)) -1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log1p.f32 (*.f32 u1 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simplify133.0ms (0.9%)

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

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (neg.f32 u1))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.3b	(*.f32 u2 (PI.f32))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))

Compiler

Compiled 40 to 15 computations (62.5% saved)

series26.0ms (0.2%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
2.0ms	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	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))))

rewrite127.0ms (0.9%)

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)))))))

simplify160.0ms (1.1%)

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

localize82.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 74 to 58 computations (21.6% saved)

series45.0ms (0.3%)

Counts

2 → 16

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
11.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	380	52
2	4627	52

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 96

Calls

Call 1

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

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

localize108.0ms (0.7%)

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 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.3b	(log.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))

Compiler

Compiled 64 to 30 computations (53.1% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`unswap-sqr`
928×	`swap-sqr`
422×	`distribute-rgt-in`
380×	`distribute-lft-in`
344×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	352	52
2	4108	52

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1724×	`unswap-sqr`
910×	`associate-/r*`
752×	`associate-*r/`
716×	`associate-*l/`
606×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	5463
1	743	4829
2	3300	4643

Stop Event

1×	node limit

Counts

95 → 153

Calls

Call 1

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

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

localize66.0ms (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 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.8b	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)

Compiler

Compiled 67 to 36 computations (46.3% saved)

series14.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
4.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
1.0ms	u1	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

simplify165.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

126 → 202

Calls

Call 1

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

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

eval1.3s (8.8%)

Compiler: Compiled 40627 to 27299 computations (32.8% saved)

prune526.0ms (3.6%)

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	1301	25	1326
Fresh	9	23	32
Picked	0	1	1
Done	1	5	6
Total	1311	54	1365

Error

0.1b

Counts

1365 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	9.4b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	8.6b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	9.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	11.3b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 2 (*.f32 u2 (PI.f32))))
	8.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	5.4b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
	2.9b	(.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)))
	4.4b	(.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))))
	1.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	15.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
✓	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	10.8b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))))))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))
	0.7b	(.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))))
✓	0.5b	(.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 (expm1.f32 (log1p.f32 (*.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))))))
	0.5b	(.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))))))
	0.5b	(.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))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	13.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
✓	13.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	11.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))
▶	0.5b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	30.5b	(.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	11.5b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
	11.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (.f32 2 (*.f32 u2 (PI.f32))))
	8.6b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.2b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	9.2b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	11.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
	10.0b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 1789 to 1547 computations (13.5% saved)

localize66.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
✓	0.2b	(-.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)

series3.0ms (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))))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

Inputs

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

(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (fma.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1 (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1) (fma.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1 (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (sqrt.f32 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simplify153.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

199 → 330

Calls

Call 1

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

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

localize37.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 14 computations (58.8% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite76.0ms (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))))))))))

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

30 → 31

Calls

Call 1

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

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

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f32 (log1p.f32 u1) 1/4)
	0.3b	(*.f32 u2 (PI.f32))
✓	0.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (.f32 2 (*.f32 u2 (PI.f32))))
✓	0.5b	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 40 to 23 computations (42.5% saved)

series17.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`unswap-sqr`
896×	`swap-sqr`
530×	`sqr-pow`
498×	`pow-sqr`
304×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	53
1	310	49
2	3564	49

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/16) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (pow.f32 (log1p.f32 u1) 1/16) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/16)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (pow.f32 (log1p.f32 u1) 1/16)) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (pow.f32 (log1p.f32 u1) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/16) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)) (*.f32 (pow.f32 (log1p.f32 u1) 1/16) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) 3/2) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/16) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))) 1) (+.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))))))

simplify174.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1566×	`associate-/r*`
1148×	`associate-*r/`
962×	`associate-*l/`
706×	`+-commutative`
656×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	8132
1	1277	7196
2	4447	7116

Stop Event

1×	node limit

Counts

124 → 214

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 2 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))) (pow.f32 u1 3))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))) (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2))))))))
(.f32 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 (/.f32 (.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (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 -1 (.f32 (/.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))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (/.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (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 -1 (.f32 (/.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))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (/.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))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (.f32 (/.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32)))) (.f32 (/.f32 (.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (/.f32 (.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 u2 (.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)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (.f32 (/.f32 (.f32 u2 (.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))))) (PI.f32))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 u2 (PI.f32)))) (+.f32 (.f32 (/.f32 (.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 u2 (.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)) (PI.f32))) (pow.f32 u1 2)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(pow.f32 u1 1/4)
(+.f32 (pow.f32 u1 1/4) (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4))))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 -39/1024 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (.f32 -1 (.f32 (/.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4))))))
(+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) -1)
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(.f32 (pow.f32 (log1p.f32 u1) 1/8) (.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/8))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1) (+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))
(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))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) -1)
(-.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 1)
(/.f32 (-.f32 (.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) (exp.f32 (log1p.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) 1) (+.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 1))
(pow.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 1)
(pow.f32 (sqrt.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) 2)
(pow.f32 (cbrt.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) 3)
(pow.f32 (pow.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (.f32 4 (pow.f32 (*.f32 u2 (PI.f32)) 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 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))
(cbrt.f32 (pow.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))) 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 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))
(exp.f32 (log.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))
(log1p.f32 (expm1.f32 (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) -1)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/16) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (pow.f32 (log1p.f32 u1) 1/16) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))
(.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/16)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/16)))
(.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (pow.f32 (log1p.f32 u1) 1/16)) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8) (pow.f32 (log1p.f32 u1) 1/16)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/16) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)) (*.f32 (pow.f32 (log1p.f32 u1) 1/16) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/8)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/8)) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) 3/2) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/16) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/16))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))) 1) (+.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4))) 1))
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))

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

localize221.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	16.1b	(log.f32 (pow.f32 (-.f32 1 u1) 1/4))

Compiler

Compiled 97 to 80 computations (17.5% saved)

series20.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`distribute-rgt-in`
664×	`distribute-lft-in`
476×	`associate-*r/`
436×	`associate-*l/`
422×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	72
1	430	52
2	5213	52

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))) (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) (*.f32 1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))) (*.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/4 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) (*.f32 1/4 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/4 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (*.f32 1/4 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) 1) (*.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) 1) (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/4) (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) 1/4) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/4 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/4 (-.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 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) 1/4) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) 1/4) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))))))

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

946×	`unswap-sqr`
784×	`distribute-lft-in`
774×	`associate-/l*`
770×	`distribute-rgt-in`
540×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	4842
1	751	4486
2	2732	4286

Stop Event

1×	node limit

Counts

86 → 155

Calls

Call 1

Inputs
(*.f32 -1/4 u1)
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/4 u1))
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/12 (pow.f32 u1 3)) (*.f32 -1/4 u1)))
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/12 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 u1) (.f32 -1/16 (pow.f32 u1 4)))))
(.f32 1/4 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 1/4 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 1/4 (/.f32 1 u1)))
(-.f32 (.f32 1/4 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 u1 2))) (.f32 1/4 (/.f32 1 u1))))
(-.f32 (.f32 1/4 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 1/12 (/.f32 1 (pow.f32 u1 3))) (*.f32 1/4 (/.f32 1 u1)))))
(log.f32 (pow.f32 (/.f32 -1 u1) -1/4))
(-.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)) (*.f32 1/4 (/.f32 1 u1)))
(-.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 u1 2))) (.f32 1/4 (/.f32 1 u1))))
(-.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 1/12 (/.f32 1 (pow.f32 u1 3))) (*.f32 1/4 (/.f32 1 u1)))))
(.f32 1/2 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 1/2 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 1/2 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 -1 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (+.f32 1/8 (pow.f32 (.f32 -1/4 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (sqrt.f32 -4))) (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 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (+.f32 1/12 (.f32 1/2 (/.f32 (+.f32 1/8 (pow.f32 (.f32 -1/4 (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 -1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 1/2 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 -1 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (+.f32 1/8 (pow.f32 (.f32 -1/4 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (sqrt.f32 -4))) (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 -4)) (sqrt.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)))) (.f32 -1/8 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -4)) u1) (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (+.f32 1/8 (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)))) (.f32 -1/8 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) u1) (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (-.f32 1/12 (.f32 -1/8 (/.f32 (+.f32 1/8 (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4))))) 2)) (log.f32 (pow.f32 (/.f32 -1 u1) -1/4))))) (sqrt.f32 -4))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (+.f32 1/8 (pow.f32 (.f32 1/8 (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)))) (.f32 -1/8 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) u1) (sqrt.f32 (/.f32 1 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)))))))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 u2 (.f32 (sqrt.f32 -4) (PI.f32)))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 u2 (.f32 (sqrt.f32 -4) (PI.f32))))) (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -4) (pow.f32 (PI.f32) 3))))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 u2 (.f32 (sqrt.f32 -4) (PI.f32))))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -4) (pow.f32 (PI.f32) 5))))) (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -4) (pow.f32 (PI.f32) 3)))))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 u2 (.f32 (sqrt.f32 -4) (PI.f32))))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -4) (pow.f32 (PI.f32) 5))))) (+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -4) (pow.f32 (PI.f32) 3))))) (.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (.f32 (pow.f32 u2 7) (.f32 (sqrt.f32 -4) (pow.f32 (PI.f32) 7))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 0)
(+.f32 0 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))) (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))
(+.f32 (.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) (.f32 1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4)))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))) (.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))))
(+.f32 (.f32 1/4 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) (.f32 1/4 (.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(+.f32 (.f32 1/4 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (.f32 1/4 (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(+.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) 1) (.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))) 1))
(+.f32 (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) 1) (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) 1))
(+.f32 (.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/4) (.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/4))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) 1/4) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1/4))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))) 1)
(.f32 1 (.f32 1/4 (log1p.f32 (neg.f32 u1))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/4)
(.f32 (sqrt.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(.f32 (cbrt.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(/.f32 (*.f32 1/4 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 1/4 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(/.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) 1/4) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) 1/4) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 2))
(cbrt.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (log.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (*.f32 1/4 (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)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (exp.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Outputs
(*.f32 -1/4 u1)
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/4 u1))
(fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/4 u1))
(fma.f32 -1/4 u1 (.f32 -1/8 (.f32 u1 u1)))
(.f32 u1 (+.f32 -1/4 (.f32 u1 -1/8)))
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/12 (pow.f32 u1 3)) (*.f32 -1/4 u1)))
(fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/12 (pow.f32 u1 3) (.f32 -1/4 u1)))
(fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/4 u1 (.f32 -1/12 (pow.f32 u1 3))))
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/12 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 u1) (.f32 -1/16 (pow.f32 u1 4)))))
(fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/12 (pow.f32 u1 3) (fma.f32 -1/4 u1 (.f32 -1/16 (pow.f32 u1 4)))))
(fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/12 (pow.f32 u1 3) (fma.f32 -1/16 (pow.f32 u1 4) (.f32 -1/4 u1))))
(.f32 1/4 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(*.f32 1/4 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))
(*.f32 1/4 (+.f32 (log.f32 -1) (log.f32 u1)))
(-.f32 (.f32 1/4 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 1/4 (/.f32 1 u1)))
(-.f32 (*.f32 1/4 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (/.f32 1/4 u1))
(fma.f32 1/4 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1/4 u1))
(-.f32 (.f32 1/4 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 u1 2))) (.f32 1/4 (/.f32 1 u1))))
(-.f32 (.f32 1/4 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (+.f32 (/.f32 1/4 u1) (/.f32 1/8 (.f32 u1 u1))))
(-.f32 (fma.f32 1/4 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1/4 u1)) (/.f32 1/8 (*.f32 u1 u1)))
(+.f32 (fma.f32 1/4 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1/8 (*.f32 u1 u1))) (/.f32 -1/4 u1))
(-.f32 (.f32 1/4 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 1/12 (/.f32 1 (pow.f32 u1 3))) (*.f32 1/4 (/.f32 1 u1)))))
(-.f32 (.f32 1/4 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (+.f32 (/.f32 1/8 (.f32 u1 u1)) (+.f32 (/.f32 1/4 u1) (/.f32 1/12 (pow.f32 u1 3)))))
(-.f32 (-.f32 (fma.f32 1/4 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1/4 u1)) (/.f32 1/8 (*.f32 u1 u1))) (/.f32 1/12 (pow.f32 u1 3)))
(+.f32 (fma.f32 1/4 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1/8 (*.f32 u1 u1))) (-.f32 (/.f32 -1/4 u1) (/.f32 1/12 (pow.f32 u1 3))))
(log.f32 (pow.f32 (/.f32 -1 u1) -1/4))
(*.f32 -1/4 (log.f32 (/.f32 -1 u1)))
(-.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)) (*.f32 1/4 (/.f32 1 u1)))
(-.f32 (*.f32 -1/4 (log.f32 (/.f32 -1 u1))) (/.f32 1/4 u1))
(fma.f32 -1/4 (log.f32 (/.f32 -1 u1)) (/.f32 -1/4 u1))
(-.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 u1 2))) (.f32 1/4 (/.f32 1 u1))))
(-.f32 (.f32 -1/4 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1/4 u1) (/.f32 1/8 (.f32 u1 u1))))
(-.f32 (fma.f32 -1/4 (log.f32 (/.f32 -1 u1)) (/.f32 -1/4 u1)) (/.f32 1/8 (*.f32 u1 u1)))
(+.f32 (fma.f32 -1/4 (log.f32 (/.f32 -1 u1)) (/.f32 -1/4 u1)) (/.f32 -1/8 (*.f32 u1 u1)))
(-.f32 (log.f32 (pow.f32 (/.f32 -1 u1) -1/4)) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 1/12 (/.f32 1 (pow.f32 u1 3))) (*.f32 1/4 (/.f32 1 u1)))))
(-.f32 (.f32 -1/4 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1/8 (.f32 u1 u1)) (+.f32 (/.f32 1/4 u1) (/.f32 1/12 (pow.f32 u1 3)))))
(-.f32 (-.f32 (fma.f32 -1/4 (log.f32 (/.f32 -1 u1)) (/.f32 -1/4 u1)) (/.f32 1/8 (*.f32 u1 u1))) (/.f32 1/12 (pow.f32 u1 3)))
(+.f32 (fma.f32 -1/4 (log.f32 (/.f32 -1 u1)) (/.f32 -1/8 (*.f32 u1 u1))) (-.f32 (/.f32 -1/4 u1) (/.f32 1/12 (pow.f32 u1 3))))
(.f32 1/2 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))
(.f32 1/2 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -4) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 1/2 (sqrt.f32 -4)) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 -1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 1/2 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -4))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 1/2 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(fma.f32 1/2 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 -4)) (*.f32 -1/4 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 -1/4 (.f32 (.f32 (/.f32 (sqrt.f32 -4) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 1/2 (sqrt.f32 -4)) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 -1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 1/2 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 -1 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (+.f32 1/8 (pow.f32 (.f32 -1/4 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (sqrt.f32 -4))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -4))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 1/2 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (neg.f32 (.f32 (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)))) (.f32 (sqrt.f32 -4) (+.f32 1/8 (pow.f32 (.f32 -1/4 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))) (.f32 u1 u1))))))
(-.f32 (fma.f32 1/2 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 -4)) (.f32 -1/4 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (.f32 (sqrt.f32 -4) (+.f32 1/8 (pow.f32 (.f32 -1/4 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 1/2 (sqrt.f32 -4)) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (+.f32 1/8 (pow.f32 (.f32 -1/4 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (/.f32 u1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (neg.f32 (/.f32 (sqrt.f32 -4) u1))) (.f32 -1/4 (.f32 (/.f32 (sqrt.f32 -4) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
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(+.f32 (.f32 (sqrt.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 (sqrt.f32 -4) (pow.f32 u2 3))) -4/3) (.f32 (.f32 (sqrt.f32 -4) (.f32 u2 (PI.f32))) 2))) (.f32 (sqrt.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 (pow.f32 (PI.f32) 7) (.f32 (sqrt.f32 -4) (pow.f32 u2 7))) -8/315) (.f32 (.f32 (sqrt.f32 -4) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5))) 4/15))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log.f32 (-.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log.f32 (-.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log.f32 (-.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log.f32 (-.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log.f32 (-.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log.f32 (-.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log.f32 (-.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -4)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log.f32 (-.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -4) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))))
(+.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 0)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(+.f32 0 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))) (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(+.f32 (.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) (.f32 1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4)))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))) (.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/8))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(+.f32 (.f32 1/4 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) (.f32 1/4 (.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(+.f32 (.f32 1/4 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (.f32 1/4 (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(.f32 1/4 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(.f32 1/4 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/4)
(+.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) 1) (.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))) 1))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) 1) (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)) 1))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(+.f32 (.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/4) (.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/4))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(+.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) 1/4) (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1/4))
(.f32 1/4 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(.f32 1/4 (.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/4)
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))) 1)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))) 1)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(.f32 1 (.f32 1/4 (log1p.f32 (neg.f32 u1))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(*.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/8)))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/4)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(.f32 (sqrt.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(.f32 (cbrt.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 1/4 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (log1p.f32 (neg.f32 u1)))
(/.f32 1/4 (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))))
(*.f32 (/.f32 1/4 (log1p.f32 (neg.f32 u1))) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)))
(/.f32 (*.f32 -1/4 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 1/4 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(/.f32 1/4 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))
(*.f32 (/.f32 1/4 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (*.f32 -1/4 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(/.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) 1/4) (log1p.f32 (neg.f32 u1)))
(/.f32 1/4 (/.f32 (log1p.f32 (neg.f32 u1)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))))
(*.f32 (/.f32 1/4 (log1p.f32 (neg.f32 u1))) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)))
(/.f32 (*.f32 -1/4 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) 1/4) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(/.f32 1/4 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))
(*.f32 (/.f32 1/4 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (*.f32 -1/4 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 2)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))) 3)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(pow.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 3) 1/3)
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 2))
(fabs.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1))) 3))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(expm1.f32 (log1p.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(exp.f32 (log.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 1/4 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 1/4 (log1p.f32 (neg.f32 u1)))
(log1p.f32 (expm1.f32 (*.f32 1/4 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/4 (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 (exp.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))))
(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))))

localize91.0ms (0.6%)

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)))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
✓	0.6b	(pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)
	14.3b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 74 to 50 computations (32.4% saved)

series14.0ms (0.1%)

Counts

2 → 9

Calls

9 calls:

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

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`distribute-rgt-in`
516×	`associate-*r/`
514×	`distribute-lft-in`
408×	`associate-*l/`
382×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	58
1	405	52
2	4614	52

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1394×	`associate-/l/`
880×	`*-commutative`
792×	`fma-def`
602×	`unswap-sqr`
562×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2981
1	567	2703
2	2100	2505
3	6356	2451

Stop Event

1×	node limit

Counts

61 → 101

Calls

Call 1

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

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

eval954.0ms (6.6%)

Compiler: Compiled 36654 to 23557 computations (35.7% saved)

prune478.0ms (3.3%)

Pruning

59 alts after pruning (51 fresh and 8 done)

	Pruned	Kept	Total
New	1092	16	1108
Fresh	8	35	43
Picked	1	0	1
Done	2	8	10
Total	1103	59	1162

Error

0.0b

Counts

1162 → 59

Alt Table

Click to see full alt table

Status	Error	Program
	8.6b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	9.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.8b	(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (.f32 2 (*.f32 u2 (PI.f32))))
	10.8b	(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
	5.4b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
	3.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))
	2.9b	(.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)))
	4.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	4.4b	(.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))))
	1.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	1.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.9b	(.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 (pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	15.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	15.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	15.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
✓	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
▶	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))))))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))
	0.7b	(.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))))
✓	0.5b	(.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 (expm1.f32 (log1p.f32 (*.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))))))
▶	0.5b	(.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))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.5b	(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
	8.0b	(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
	8.6b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.2b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	10.7b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	20.7b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
▶	10.8b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
▶	11.2b	(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))
	9.2b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	10.7b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))
	10.0b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	29.7b	0

Compiler

Compiled 1950 to 1670 computations (14.4% saved)

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series3.0ms (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))))))

rewrite81.0ms (0.6%)

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))))))

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

(log1p.f32 (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 (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 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))))))))))

((#(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))))))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	6471
1	899	5921
2	4075	5729

Stop Event

1×	node limit

Counts

123 → 173

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 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 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 (.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 (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))))))
(-.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))

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

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.5%)

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)))

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))
	0.3b	(*.f32 u2 (PI.f32))
✓	0.3b	(.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4))
✓	0.6b	(pow.f32 (*.f32 u2 (PI.f32)) 2)

Compiler

Compiled 43 to 23 computations (46.5% saved)

series6.0ms (0%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4))
1.0ms	u2	@	inf	(.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4))
1.0ms	u1	@	inf	(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))
0.0ms	u1	@	0	(.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4))
0.0ms	u1	@	inf	(.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`unswap-sqr`
868×	`swap-sqr`
522×	`sqr-pow`
490×	`pow-sqr`
316×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	301	75
2	3450	75

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs
(pow.f32 (*.f32 u2 (PI.f32)) 2)
(.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4))
(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (*.f32 (PI.f32) (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (*.f32 (*.f32 (sqrt.f32 u2) (PI.f32)) (*.f32 (sqrt.f32 u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 u2 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) u2) (*.f32 (sqrt.f32 (PI.f32)) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (*.f32 u2 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 4) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) u2) (*.f32 (cbrt.f32 (PI.f32)) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 4) (*.f32 (*.f32 (cbrt.f32 u2) (PI.f32)) (*.f32 (cbrt.f32 u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 u2 (PI.f32)) u2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 u2 (PI.f32)) (PI.f32)) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 u2 (PI.f32)) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))) (cbrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 (PI.f32)))) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 u2 (cbrt.f32 (pow.f32 (PI.f32) 2))) (*.f32 u2 (cbrt.f32 (pow.f32 (PI.f32) 2)))) (cbrt.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (*.f32 (PI.f32) (sqrt.f32 u2))) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))) (pow.f32 (cbrt.f32 u2) 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simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1790×	`associate-/r*`
1416×	`distribute-lft-in`
994×	`associate-r`
810×	`associate-l`
802×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	7319
1	1030	6679
2	4333	6651

Stop Event

1×	node limit

Counts

153 → 222

Calls

Call 1

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

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

localize95.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	15.6b	(log.f32 (cbrt.f32 (-.f32 1 u1)))

Compiler

Compiled 90 to 73 computations (18.9% saved)

series59.0ms (0.4%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
51.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`distribute-rgt-in`
610×	`distribute-lft-in`
460×	`associate-*r/`
420×	`add-sqr-sqrt`
400×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	91
1	422	85
2	5100	85

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

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

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

(*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 3/2)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 3/2 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))) (*.f32 3/2 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 3/2 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))) (*.f32 3/2 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) 3/2) (*.f32 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 3/2) (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))) 2) 9/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2) 1))))))

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1302×	`fma-def`
1026×	`*-commutative`
940×	`unswap-sqr`
832×	`distribute-lft-in`
824×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	3194
1	555	2918
2	2035	2826
3	6605	2780

Stop Event

1×	node limit

Counts

88 → 132

Calls

Call 1

Inputs
(*.f32 -1/3 u1)
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (.f32 -1/3 u1))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (*.f32 -1/9 (pow.f32 u1 3))))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (+.f32 (.f32 -1/9 (pow.f32 u1 3)) (.f32 -1/12 (pow.f32 u1 4)))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 u2 (.f32 (sqrt.f32 -3) (PI.f32)))))
(+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 u2 (.f32 (sqrt.f32 -3) (PI.f32))))))
(+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 5))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 u2 (.f32 (sqrt.f32 -3) (PI.f32)))))))
(+.f32 (.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 7) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 7))))) (+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 5))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 u2 (.f32 (sqrt.f32 -3) (PI.f32))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(*.f32 -1/2 u1)
(+.f32 (.f32 -1/4 (pow.f32 u1 2)) (.f32 -1/2 u1))
(+.f32 (.f32 -1/6 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 (pow.f32 u1 2)) (*.f32 -1/2 u1)))
(+.f32 (.f32 -1/6 (pow.f32 u1 3)) (+.f32 (.f32 -1/4 (pow.f32 u1 2)) (+.f32 (.f32 -1/2 u1) (.f32 -1/8 (pow.f32 u1 4)))))
(+.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))) 0)
(+.f32 0 (*.f32 1/3 (log1p.f32 (neg.f32 u1))))
(+.f32 0 (*.f32 (log1p.f32 (neg.f32 u1)) 1/3))
(+.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(+.f32 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))))
(+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) (log.f32 (pow.f32 (-.f32 1 u1) 1/6)))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))) (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))) (log.f32 (pow.f32 (-.f32 1 u1) 1/6)))
(+.f32 (.f32 1 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))) (.f32 1 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))) (.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))))
(+.f32 (.f32 1/3 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 1/3 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (.f32 1/3 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (.f32 1/3 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))))
(+.f32 (.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) 1) (.f32 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1)))) 1))
(+.f32 (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 1) (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 1))
(+.f32 (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1/3) (.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1/3))
(+.f32 (.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) 1/3) (.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))) 1/3))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))))) 1)
(.f32 1 (.f32 1/3 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)))
(.f32 (sqrt.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))))
(.f32 (cbrt.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/3 (log1p.f32 (neg.f32 u1)))
(pow.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))) 2))
(cbrt.f32 (pow.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (log.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1)))) 1))
(log1p.f32 (-.f32 (cbrt.f32 (-.f32 1 u1)) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) (pow.f32 (.f32 (*.f32 1/3 (log1p.f32 (neg.f32 u1))) 3) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)))
(+.f32 (.f32 3/2 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))) (.f32 3/2 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))))
(+.f32 (.f32 3/2 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))) (.f32 3/2 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))))
(+.f32 (.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) 3/2) (.f32 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1)))) 3/2))
(+.f32 (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 3/2) (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 3/2))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)))) 1)
(pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 1)
(pow.f32 (sqrt.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 2)
(pow.f32 (cbrt.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 3)
(pow.f32 (pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 3) 1/3)
(sqrt.f32 (.f32 (pow.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 2) 9/4))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(log.f32 (+.f32 1 (-.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2) 1)))
(cbrt.f32 (pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 3))
(expm1.f32 (log1p.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))))
(exp.f32 (log.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))))
(exp.f32 (*.f32 (log.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 1))
(log1p.f32 (-.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2) 1))

Outputs
(*.f32 -1/3 u1)
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (.f32 -1/3 u1))
(fma.f32 -1/6 (.f32 u1 u1) (.f32 -1/3 u1))
(.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (*.f32 -1/9 (pow.f32 u1 3))))
(fma.f32 -1/6 (.f32 u1 u1) (fma.f32 -1/3 u1 (.f32 -1/9 (pow.f32 u1 3))))
(fma.f32 -1/6 (.f32 u1 u1) (fma.f32 -1/9 (pow.f32 u1 3) (.f32 -1/3 u1)))
(fma.f32 -1/3 u1 (.f32 (.f32 u1 u1) (+.f32 -1/6 (*.f32 u1 -1/9))))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (+.f32 (.f32 -1/9 (pow.f32 u1 3)) (.f32 -1/12 (pow.f32 u1 4)))))
(fma.f32 -1/6 (.f32 u1 u1) (fma.f32 -1/3 u1 (fma.f32 -1/9 (pow.f32 u1 3) (.f32 -1/12 (pow.f32 u1 4)))))
(fma.f32 u1 (.f32 u1 -1/6) (fma.f32 -1/9 (pow.f32 u1 3) (fma.f32 -1/12 (pow.f32 u1 4) (.f32 -1/3 u1))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 u2 (.f32 (sqrt.f32 -3) (PI.f32)))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (.f32 u2 (sqrt.f32 -3)) (PI.f32))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -3) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))))))
(.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 2 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -3)))))
(+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 u2 (.f32 (sqrt.f32 -3) (PI.f32))))))
(fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (*.f32 u2 (sqrt.f32 -3)) (PI.f32)))))
(fma.f32 2 (.f32 (.f32 (sqrt.f32 -3) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))))) (.f32 (.f32 (sqrt.f32 -3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))) (*.f32 -4/3 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))
(.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -3)))) (.f32 -4/3 (.f32 (pow.f32 (PI.f32) 3) (*.f32 (sqrt.f32 -3) (pow.f32 u2 3))))))
(+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 5))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 u2 (.f32 (sqrt.f32 -3) (PI.f32)))))))
(fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3)))) (fma.f32 4/15 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 5)))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (.f32 u2 (sqrt.f32 -3)) (PI.f32))))))
(fma.f32 -4/3 (.f32 (pow.f32 u2 3) (.f32 (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (fma.f32 2 (.f32 (.f32 (sqrt.f32 -3) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (.f32 (sqrt.f32 -3) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5))) 4/15))))
(fma.f32 2 (.f32 (.f32 (sqrt.f32 -3) (PI.f32)) (.f32 u2 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 (PI.f32) 3) (.f32 (sqrt.f32 -3) (pow.f32 u2 3)))) (.f32 4/15 (.f32 (pow.f32 (PI.f32) 5) (.f32 (sqrt.f32 -3) (pow.f32 u2 5)))))))
(.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -3)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 (PI.f32) 3) (.f32 (sqrt.f32 -3) (pow.f32 u2 3)))) (.f32 4/15 (.f32 (pow.f32 (PI.f32) 5) (.f32 (sqrt.f32 -3) (pow.f32 u2 5)))))))
(+.f32 (.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 7) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 7))))) (+.f32 (.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 4/15 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 5))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))) (.f32 u2 (.f32 (sqrt.f32 -3) (PI.f32))))))))
(fma.f32 -8/315 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 7) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 7)))) (fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3)))) (fma.f32 4/15 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 5)))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (*.f32 u2 (sqrt.f32 -3)) (PI.f32)))))))
(fma.f32 -8/315 (.f32 (pow.f32 u2 7) (.f32 (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (.f32 (.f32 (sqrt.f32 -3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (fma.f32 2 (.f32 (.f32 (sqrt.f32 -3) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (.f32 (sqrt.f32 -3) (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5))) 4/15)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -3)))) (.f32 4/15 (.f32 (pow.f32 (PI.f32) 5) (.f32 (sqrt.f32 -3) (pow.f32 u2 5)))))) (.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 (PI.f32) 3) (.f32 (sqrt.f32 -3) (pow.f32 u2 3)))) (.f32 -8/315 (.f32 (pow.f32 (PI.f32) 7) (.f32 (sqrt.f32 -3) (pow.f32 u2 7)))))))
(.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -3)))) (.f32 4/15 (.f32 (pow.f32 (PI.f32) 5) (.f32 (sqrt.f32 -3) (pow.f32 u2 5))))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 (PI.f32) 3) (.f32 (sqrt.f32 -3) (pow.f32 u2 3)))) (.f32 -8/315 (.f32 (pow.f32 (PI.f32) 7) (*.f32 (sqrt.f32 -3) (pow.f32 u2 7)))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -3) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (.f32 (sqrt.f32 -3) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -3) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (.f32 (sqrt.f32 -3) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -3) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (.f32 (sqrt.f32 -3) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -3)) (sqrt.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/3))))
(.f32 (sqrt.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -3) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
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(+.f32 (.f32 3/2 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))) (.f32 3/2 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))))
(*.f32 3/2 (+.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))))
(*.f32 (+.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))) 3/2)
(+.f32 (.f32 3/2 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))) (.f32 3/2 (log.f32 (pow.f32 (-.f32 1 u1) 1/6))))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(+.f32 (.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) 3/2) (.f32 (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1)))) 3/2))
(*.f32 3/2 (+.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))))
(*.f32 (+.f32 (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))) 3/2)
(+.f32 (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 3/2) (.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/6)) 3/2))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(-.f32 (exp.f32 (log1p.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)))) 1)
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 1)
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(pow.f32 (sqrt.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 2)
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(pow.f32 (cbrt.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 3)
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(pow.f32 (pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 3) 1/3)
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(sqrt.f32 (.f32 (pow.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 2) 9/4))
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 2))
(fabs.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(log.f32 (+.f32 1 (-.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2) 1)))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(cbrt.f32 (pow.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2)) 3))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(expm1.f32 (log1p.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(exp.f32 (log.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(exp.f32 (*.f32 (log.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))) 1))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)
(log1p.f32 (-.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2) 1))
(log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 3/2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1/2)

localize73.0ms (0.5%)

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)
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
✓	0.5b	(pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)

Compiler

Compiled 66 to 32 computations (51.5% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`unswap-sqr`
928×	`swap-sqr`
370×	`distribute-rgt-in`
346×	`add-sqr-sqrt`
336×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	366	52
2	4159	52

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-/l*`
1020×	`distribute-lft-in`
1008×	`distribute-rgt-in`
904×	`unswap-sqr`
694×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	4555
1	679	4101
2	2368	3927

Stop Event

1×	node limit

Counts

75 → 116

Calls

Call 1

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

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

eval398.0ms (2.7%)

Compiler: Compiled 21690 to 14324 computations (34% saved)

prune282.0ms (1.9%)

Pruning

64 alts after pruning (53 fresh and 11 done)

	Pruned	Kept	Total
New	786	8	794
Fresh	1	45	46
Picked	0	1	1
Done	2	10	12
Total	789	64	853

Error

0.0b

Counts

853 → 64

Alt Table

Click to see full alt table

Status	Error	Program
	8.6b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	9.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.6b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.8b	(.f32 (pow.f32 (pow.f32 u1 1/4) 2) (.f32 2 (*.f32 u2 (PI.f32))))
	10.8b	(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
	5.4b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	15.8b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
	3.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))
	2.9b	(.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)))
	4.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	4.4b	(.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))))
	1.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	1.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.7b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.9b	(.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 (pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (fma.f32 -1/3 u1 (.f32 (.f32 u1 u1) (+.f32 -1/6 (.f32 u1 -1/9)))) 3/2)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6))) 3/2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) 3/2)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 (.f32 -1/3 u1) 3/2)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 (.f32 u1 (+.f32 (.f32 u1 -1/6) -1/4)) -1/2))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	15.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	15.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
✓	14.3b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
	5.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
✓	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	14.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))))))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))
	0.7b	(.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))))
✓	0.5b	(.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 (expm1.f32 (log1p.f32 (*.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))))))
	9.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
✓	0.5b	(.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))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	13.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.0b	(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
	8.6b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.2b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	10.7b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	20.7b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
✓	10.8b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	11.3b	(.f32 2 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
✓	11.2b	(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))
	10.7b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))
	10.0b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	29.7b	0

Compiler

Compiled 1153 to 990 computations (14.1% saved)

regimes753.0ms (5.2%)

Counts

88 → 1

Calls

Call 1

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

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:

206.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
86.0ms	(log.f32 (-.f32 1 u1))
81.0ms	u1
77.0ms	(-.f32 1 u1)
66.0ms	cosTheta_i

Results

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

Compiler

Compiled 1378 to 837 computations (39.3% saved)

regimes367.0ms (2.5%)

Counts

46 → 1

Calls

Call 1

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

123.0ms	u2
62.0ms	(.f32 (.f32 2 (PI.f32)) u2)
48.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
21.0ms	cosTheta_i
21.0ms	u1

Results

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

Compiler

Compiled 662 to 411 computations (37.9% saved)

regimes198.0ms (1.4%)

Counts

27 → 2

Calls

Call 1

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

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:

50.0ms	u2
40.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
24.0ms	(.f32 (.f32 2 (PI.f32)) u2)
23.0ms	u1
13.0ms	cosTheta_i

Results

Error	Segments	Branch
2.9b	1	`cosTheta_i`
1.6b	2	`u1`
1.4b	2	`u2`
2.9b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.4b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 352 to 228 computations (35.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0009765332215465605	0.001122459303587675

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes158.0ms (1.1%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

84.0ms	u1
22.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
18.0ms	u2
17.0ms	(.f32 (.f32 2 (PI.f32)) u2)
10.0ms	cosTheta_i

Results

Error	Segments	Branch
4.4b	1	`cosTheta_i`
2.3b	2	`u1`
1.9b	2	`u2`
2.7b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 243 to 161 computations (33.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004205981735140085	0.004435049369931221

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes121.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

5 calls:

60.0ms	u1
18.0ms	(.f32 (.f32 2 (PI.f32)) u2)
16.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
15.0ms	u2
8.0ms	cosTheta_i

Results

Error	Segments	Branch
5.4b	1	`cosTheta_i`
3.4b	2	`u1`
2.9b	2	`u2`
3.6b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.9b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 189 to 120 computations (36.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009466576389968395	0.010168638080358505

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes35.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	u2
13.0ms	u1
7.0ms	cosTheta_i

Results

Error	Segments	Branch
8.0b	1	`cosTheta_i`
6.1b	2	`u1`
5.5b	2	`u2`

Compiler

Compiled 123 to 74 computations (39.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.0015066524501889944	0.0016183890402317047

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes18.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
0
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))

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

Calls

3 calls:

7.0ms	u1
5.0ms	u2
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 74 to 48 computations (35.1% saved)

regimes15.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
0
(.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 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))

Calls

3 calls:

5.0ms	u2
4.0ms	u1
4.0ms	cosTheta_i

Results

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

Compiler

Compiled 50 to 33 computations (34% saved)

regimes28.0ms (0.2%)

Accuracy

Total -19.0b remaining (-176%)

Threshold costs -19.0b (-176%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

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

Calls

3 calls:

22.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

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

Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

100×	`distribute-lft-neg-in`
86×	`*-commutative`
54×	`distribute-rgt-neg-in`
42×	`+-commutative`
42×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	600
1	118	600
2	138	600
3	178	584
4	217	584
5	262	584
6	301	584
7	332	584
8	336	584

Stop Event

1×	fuel
1×	saturated

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 (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) 8589935/8589934592) (.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) 295279/67108864) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5368709/536870912) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/8589934592) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
0

Outputs
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 8589935/8589934592) (.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))) 8589935/8589934592) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.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))) 8589935/8589934592) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 (neg.f32 u1)) (+.f32 -1/2 (.f32 u1 -1/3))))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 8589935/8589934592) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.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 u2 (.f32 2 (PI.f32))) 8589935/8589934592) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.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) 295279/67108864) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 295279/67108864) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 295279/67108864) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5368709/536870912) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 5368709/536870912) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/8589934592) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/8589934592) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/8589934592) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))))
(.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))
(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
0

Compiler

Compiled 216 to 166 computations (23.1% saved)

soundness197.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1670×	`times-frac`
1376×	`associate-/r/`
1108×	`associate-/l*`
1070×	`associate-r`
1064×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	7247
1	1207	6561
2	5344	6435
0	598	8848
1	1627	7680

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 221 to 148 computations (33% saved)

end111.0ms (0.8%)

Compiler: Compiled 189 to 109 computations (42.3% 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	75	600
1	118	600
2	138	600
3	178	584
4	217	584
5	262	584
6	301	584
7	332	584
8	336	584

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	75	600
1	118	600
2	138	600
3	178	584
4	217	584
5	262	584
6	301	584
7	332	584
8	336	584

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	75	600
1	118	600
2	138	600
3	178	584
4	217	584
5	262	584
6	301	584
7	332	584
8	336	584