Details

analyze288.0ms (2.1%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.9s (21.2%)

Results

2.8s	8256×	body	256	valid
32.0ms	11×	body	256	precondition

Bogosity

preprocess45.0ms (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)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize67.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	14.1b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series62.0ms (0.5%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
53.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.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)))

rewrite132.0ms (1%)

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

195 → 263

Calls

Call 1

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

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

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series44.0ms (0.3%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite77.0ms (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))))))))

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

161 → 220

Calls

Call 1

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

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

eval239.0ms (1.8%)

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

prune126.0ms (0.9%)

Pruning

33 alts after pruning (31 fresh and 2 done)

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

Error

0.1b

Counts

485 → 33

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	8.4b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	8.4b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.1b	(.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)))
	4.1b	(.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)))
	3.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
▶	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
▶	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	12.5b	(.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))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.4b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.9b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	9.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1203 to 1017 computations (15.5% saved)

localize109.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 30 computations (53.1% saved)

series33.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	u2	@	inf	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
14.0ms	u2	@	-inf	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
0.0ms	u2	@	0	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

129 → 190

Calls

Call 1

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

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

localize40.0ms (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))))
✓	0.4b	(*.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)

series15.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
5.0ms	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))))

rewrite93.0ms (0.7%)

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)))))))

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

132 → 206

Calls

Call 1

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

Outputs
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1)))))
(+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1 (.f32 (/.f32 (.f32 (.f32 (sqrt.f32 -1) u2) (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 2 (.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(-.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(-.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1))))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) u2) (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)))) (.f32 u1 u1))) (fma.f32 -1 (.f32 (/.f32 (.f32 (.f32 (sqrt.f32 -1) u2) (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 2 (.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (.f32 (/.f32 (.f32 u2 (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) u1) (/.f32 (sqrt.f32 -1) u1))) (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2))))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (.f32 (PI.f32) (neg.f32 u2)) (/.f32 u1 (sqrt.f32 -1))) (neg.f32 (.f32 (/.f32 (.f32 (.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1 (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 -1) u2) (.f32 (PI.f32) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3)) (fma.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) u2) (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)))) (.f32 u1 u1))) (fma.f32 -1 (.f32 (/.f32 (.f32 (.f32 (sqrt.f32 -1) u2) (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 2 (.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (-.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 u2 (.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (neg.f32 (.f32 (/.f32 (.f32 u2 (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) u1) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (.f32 (PI.f32) (neg.f32 u2)) (/.f32 u1 (sqrt.f32 -1))) (neg.f32 (.f32 (/.f32 (.f32 (.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1) (/.f32 (sqrt.f32 -1) u1))))) (-.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 -1))))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (pow.f32 u1 3)) (.f32 (.f32 u2 (PI.f32)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32)))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (.f32 -1 u2) (PI.f32))))
(.f32 (.f32 2 (*.f32 (PI.f32) (neg.f32 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))))) (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(fma.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (.f32 -1 u2) (PI.f32))) (neg.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32))))))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (/.f32 u2 (/.f32 u1 (PI.f32))) (.f32 (.f32 2 (*.f32 (PI.f32) (neg.f32 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(-.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (.f32 (PI.f32) (neg.f32 u2)) 2)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 u2 (PI.f32))))) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 u2 (PI.f32)) u1))) (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 u2 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (.f32 -1 u2) (PI.f32))) (.f32 -1 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 (.f32 u1 u1) (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))))))))
(fma.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (PI.f32) (neg.f32 u2))) (.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (.f32 (/.f32 (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) u1) (/.f32 u2 u1)))))
(-.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (.f32 (PI.f32) (neg.f32 u2)) 2)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 (/.f32 u2 u1) (PI.f32)) (.f32 (/.f32 u2 (.f32 u1 u1)) (.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))))
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(log1p.f32 u1)
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(log1p.f32 u1)
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(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)
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(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	(sqrt.f32 (-.f32 1 u1))
	0.4b	(.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)))
✓	15.0b	(log.f32 (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 74 to 58 computations (21.6% saved)

series31.0ms (0.2%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	u1	@	inf	(log.f32 (sqrt.f32 (-.f32 1 u1)))
10.0ms	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	(log.f32 (sqrt.f32 (-.f32 1 u1)))

rewrite116.0ms (0.9%)

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	75
1	380	63
2	4627	63

Stop Event

1×	node limit

Counts

3 → 89

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)))
(sqrt.f32 (-.f32 1 u1))

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))))))))))

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1426×	`fma-def`
946×	`*-commutative`
898×	`distribute-lft-in`
786×	`distribute-rgt-in`
734×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	3481
1	634	3425
2	2192	3309

Stop Event

1×	node limit

Counts

109 → 159

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)))))
1
(+.f32 1 (*.f32 -1/2 u1))
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/2 u1)))
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 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))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1)))) 1)
(*.f32 1 (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(*.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4))
(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 1/2))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (sqrt.f32 (-.f32 1 (*.f32 u1 u1))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (*.f32 1 (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (.f32 1 (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 (.f32 u1 u1)))) (cbrt.f32 (+.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) 1) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 u1 u1))) 1) (sqrt.f32 (+.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (-.f32 1 (pow.f32 u1 3))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (+.f32 1 u1)))
(pow.f32 (-.f32 1 u1) 1/2)
(pow.f32 (sqrt.f32 (-.f32 1 u1)) 1)
(pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 1/3)
(pow.f32 (E.f32) (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2)) (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(fabs.f32 (sqrt.f32 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))

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

localize93.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 60 to 29 computations (51.7% saved)

series88.0ms (0.6%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	u1	@	inf	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
25.0ms	u2	@	inf	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
3.0ms	u2	@	0	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
3.0ms	u1	@	-inf	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
1.0ms	u1	@	0	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`unswap-sqr`
932×	`swap-sqr`
542×	`sqr-pow`
524×	`pow-sqr`
336×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	321	66
2	3499	66

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1384×	`associate-/l*`
1216×	`associate-/r*`
1086×	`associate-*r/`
930×	`associate-*l/`
638×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	4294975900
1	1115	8198
2	3658	8118

Stop Event

1×	node limit

Counts

102 → 170

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (.f32 -1/4 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3)))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (+.f32 (.f32 (+.f32 (.f32 1/64 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1))) (.f32 23/192 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) (.f32 -1/4 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (+.f32 (.f32 (+.f32 (.f32 -39/512 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1))) (.f32 -23/1536 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 1/64 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1))) (.f32 23/192 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) (.f32 -1/4 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3)))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 1/16 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (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 2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (.f32 2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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)) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1 (/.f32 (+.f32 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.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))))) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (pow.f32 u1 3)))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 2 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)
(.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1/4) (.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1/4) (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2))))
(.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1/4)) (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1/4))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 2) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (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 2 (.f32 (PI.f32) u2))) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))) (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))) (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 3/2) (pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3/2))
(.f32 (pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)) 1/4) (pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)) 1/4))
(.f32 (pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) 1/6) (pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/6))
(/.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)
(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))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(-.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 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1/4) 4)
(pow.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 6)
(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)))) 3/2) 2/3)
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)) 1/2)
(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))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Outputs
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 u1))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (.f32 -1/4 (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3)))))
(fma.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 u1) (.f32 -1/4 (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (pow.f32 u1 3)))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 u1) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (pow.f32 u1 3)) -1/4)))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 u1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (pow.f32 u1 3)) -1/4)))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)) (+.f32 (.f32 (+.f32 (.f32 1/64 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1))) (.f32 23/192 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) (.f32 -1/4 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 u1) (fma.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 u1)) 13/96) (.f32 u1 u1) (.f32 -1/4 (.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 u1) (fma.f32 -1/4 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (pow.f32 u1 3))) (.f32 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 u1)) (.f32 13/96 (*.f32 u1 u1)))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 u1) (fma.f32 -1/4 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (pow.f32 u1 3))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 u1)) (.f32 13/96 (*.f32 u1 u1)))))
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(.f32 (pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1))) 3/2) 1/3) (pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1))) 3/2) 1/3))
(.f32 (cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3/2)) (cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3/2)))
(.f32 (cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3/2)) (cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3/2)))
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)) 1/2)
(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)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 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)))
(.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 (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)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 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)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.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)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 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)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (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 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 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)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (.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)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.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)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.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)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))

localize79.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 33 computations (50.7% saved)

series10.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	0	(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
2.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
2.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))

rewrite107.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`unswap-sqr`
976×	`swap-sqr`
378×	`distribute-rgt-in`
368×	`add-sqr-sqrt`
350×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	388	52
2	4437	52

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1660×	`associate-/l*`
1014×	`distribute-lft-in`
1004×	`distribute-rgt-in`
852×	`associate-/r*`
566×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	5044
1	723	4382
2	2666	4248

Stop Event

1×	node limit

Counts

80 → 125

Calls

Call 1

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

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

eval723.0ms (5.3%)

Compiler: Compiled 33189 to 22231 computations (33% saved)

prune447.0ms (3.3%)

Pruning

52 alts after pruning (45 fresh and 7 done)

	Pruned	Kept	Total
New	1076	29	1105
Fresh	10	16	26
Picked	0	1	1
Done	0	6	6
Total	1086	52	1138

Error

0.0b

Counts

1138 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	11.2b	(pow.f32 (sqrt.f32 (.f32 (.f32 (*.f32 2 (PI.f32)) u2) (sqrt.f32 (log1p.f32 u1)))) 2)
	9.1b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2)))) 2)
✓	9.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	9.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))) 2)
	11.2b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))) 3)
	8.4b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	11.5b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (.f32 2 (*.f32 u2 (PI.f32))))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.1b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.7b	(.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)))
	14.7b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	10.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1/6) 6))
	1.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
▶	11.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)))
	1.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2) 3) (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
	1.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2) (.f32 (cbrt.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))))
	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	5.7b	(.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))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 u1))
	11.4b	(.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))))
	11.2b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	8.9b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))
	11.2b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
	11.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))))
	9.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1805 to 1543 computations (14.5% saved)

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 78 to 26 computations (66.7% saved)

series58.0ms (0.4%)

Counts

2 → 32

Calls

9 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 224

Calls

Call 1

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

Outputs

((#(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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simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	8848
1	1627	7680

Stop Event

1×	node limit

Counts

256 → 366

Calls

Call 1

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

localize38.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(*.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)

series53.0ms (0.4%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	u1	@	inf	(.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	@	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	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite64.0ms (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))))))))))

simplify44.0ms (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)))

localize355.0ms (2.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)
	0.4b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)))
✓	11.6b	(+.f32 1 (-.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))

Compiler

Compiled 70 to 36 computations (48.6% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite145.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*r/`
1254×	`associate-*l/`
408×	`add-sqr-sqrt`
396×	`*-un-lft-identity`
394×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	109
1	401	77
2	5239	77

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify245.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

910×	`associate-l`
860×	`+-commutative`
856×	`associate-r`
672×	`fma-def`
638×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	590	17931
1	1545	17027
2	6508	16997

Stop Event

1×	node limit

Counts

243 → 361

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

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

localize124.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	15.0b	(-.f32 (sqrt.f32 (-.f32 1 u1)) 1)

Compiler

Compiled 90 to 73 computations (18.9% saved)

series98.0ms (0.7%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
93.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	0	(-.f32 (sqrt.f32 (-.f32 1 u1)) 1)
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`associate-*r/`
900×	`associate-*l/`
416×	`add-sqr-sqrt`
402×	`*-un-lft-identity`
400×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	93
1	413	69
2	5193	69

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

(-.f32 (sqrt.f32 (-.f32 1 u1)) 1)

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

(log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))

Outputs

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1150×	`distribute-lft-in`
1094×	`distribute-rgt-in`
814×	`associate-/l*`
554×	`associate-*r/`
546×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	4828
1	785	4548
2	2953	4452

Stop Event

1×	node limit

Counts

126 → 183

Calls

Call 1

Inputs
(*.f32 -1/2 u1)
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/2 u1))
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1)))
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (+.f32 (.f32 -5/128 (pow.f32 u1 4)) (.f32 -1/2 u1))))
(.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 -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 1 (+.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) -1))
(+.f32 1 (-.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(+.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 0)
(+.f32 0 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(+.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1))) -2)
(+.f32 -1 (sqrt.f32 (-.f32 1 u1)))
(+.f32 (+.f32 -1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 1)
(*.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(*.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 1)
(*.f32 (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(*.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) (pow.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 2) (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(*.f32 (neg.f32 u1) (/.f32 1 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(*.f32 (+.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (-.f32 (pow.f32 (-.f32 1 u1) 1/4) 1))
(/.f32 1 (/.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1))) (neg.f32 u1)))
(/.f32 1 (/.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)) (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2))))
(/.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 1)
(/.f32 (neg.f32 u1) (+.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (-.f32 (-.f32 2 u1) (*.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(/.f32 (*.f32 (neg.f32 u1) 1) (+.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2))) (neg.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) 1) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))
(/.f32 (.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) 1) (-.f32 (-.f32 2 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(/.f32 (*.f32 1 (neg.f32 (neg.f32 u1))) (neg.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 1 (neg.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)))) (neg.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) (sqrt.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)))) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 2) (cbrt.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)))) (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 2) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (neg.f32 (neg.f32 u1)) 1) (neg.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (neg.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2))) 1) (neg.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2))) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))) (sqrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2))) (pow.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 2)) (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (pow.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 2)) (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 1 u1) 2) 1) (/.f32 1 (+.f32 1 (sqrt.f32 (-.f32 1 u1))))) (-.f32 2 u1))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 1 u1) 3) 1) (/.f32 1 (+.f32 1 (sqrt.f32 (-.f32 1 u1))))) (+.f32 (pow.f32 (-.f32 1 u1) 2) (-.f32 2 u1)))
(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 3) 1) (/.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))) (+.f32 (pow.f32 (-.f32 1 u1) 3) (+.f32 1 (.f32 (pow.f32 (-.f32 1 u1) 3/2) 1))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 1 u1) 3) 1) (/.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))) (+.f32 1 (pow.f32 (-.f32 1 u1) 3/2)))
(/.f32 (/.f32 (neg.f32 u1) 1) (+.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (neg.f32 u1) (sqrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1))))) (sqrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (neg.f32 u1) (*.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))) (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) 1) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (*.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))) (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))) (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(pow.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 1)
(pow.f32 (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 2)
(pow.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 3)
(pow.f32 (pow.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 2))
(log.f32 (exp.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))))
(cbrt.f32 (pow.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 3))
(expm1.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(exp.f32 (*.f32 (log.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 1))
(log1p.f32 (expm1.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(fma.f32 1 (sqrt.f32 (-.f32 1 u1)) -1)
(fma.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4) -1)
(fma.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.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 (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))))))
(+.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 0)
(+.f32 0 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))
(+.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(-.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 (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 0 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (.f32 0 (log1p.f32 (neg.f32 u1))))))
(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))
(log.f32 (sqrt.f32 (-.f32 1 u1)))
(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))

Outputs
(*.f32 -1/2 u1)
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/2 u1))
(fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/2 u1))
(fma.f32 -1/2 u1 (.f32 -1/8 (.f32 u1 u1)))
(.f32 u1 (+.f32 -1/2 (.f32 u1 -1/8)))
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1)))
(fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/16 (pow.f32 u1 3) (.f32 -1/2 u1)))
(fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/2 u1 (.f32 -1/16 (pow.f32 u1 3))))
(+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (+.f32 (.f32 -5/128 (pow.f32 u1 4)) (.f32 -1/2 u1))))
(fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/16 (pow.f32 u1 3) (fma.f32 -5/128 (pow.f32 u1 4) (.f32 -1/2 u1))))
(fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/16 (pow.f32 u1 3) (fma.f32 -1/2 u1 (.f32 -5/128 (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 2 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -2) (.f32 u2 (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))))))
(fma.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))))))
(fma.f32 2 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 u2 (.f32 (sqrt.f32 -2) (PI.f32)))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (.f32 (sqrt.f32 -2) (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))) -4/3)))
(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 (.f32 (sqrt.f32 -2) (.f32 u2 (PI.f32))) 2) (.f32 (.f32 (pow.f32 (PI.f32) 3) (*.f32 (sqrt.f32 -2) (pow.f32 u2 3))) -4/3)))
(+.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)))))))
(fma.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)))) (fma.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)))))))
(fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -2) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) (fma.f32 2 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 u2 (.f32 (sqrt.f32 -2) (PI.f32)))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 5))) 4/15))))
(fma.f32 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) -4/3) (.f32 (pow.f32 (PI.f32) 3) (.f32 (sqrt.f32 -2) (pow.f32 u2 3))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 (.f32 (sqrt.f32 -2) (.f32 u2 (PI.f32))) 2) (.f32 (.f32 (sqrt.f32 -2) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5))) 4/15))))
(+.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))))))))
(fma.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)))) (fma.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)))) (fma.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))))))))
(fma.f32 -4/3 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -2) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) (fma.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)))) (fma.f32 2 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 u2 (.f32 (sqrt.f32 -2) (PI.f32)))) (.f32 (.f32 (sqrt.f32 -2) (.f32 (pow.f32 (PI.f32) 7) (pow.f32 u2 7))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) -8/315)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 (.f32 (sqrt.f32 -2) (.f32 u2 (PI.f32))) 2) (.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 (sqrt.f32 -2) (pow.f32 u2 3))) -4/3))) (.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (+.f32 (.f32 (.f32 (sqrt.f32 -2) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 u2 5))) 4/15) (.f32 (.f32 (sqrt.f32 -2) (.f32 (pow.f32 (PI.f32) 7) (pow.f32 u2 7))) -8/315))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -2) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -2) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -2) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -2)) (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))
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(/.f32 (.f32 (-.f32 (pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 3) 1) (/.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))) (+.f32 (pow.f32 (-.f32 1 u1) 3) (+.f32 1 (.f32 (pow.f32 (-.f32 1 u1) 3/2) 1))))
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(/.f32 (+.f32 -1 (pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 3)) (*.f32 (+.f32 1 (+.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (-.f32 1 u1) 3))) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (pow.f32 (-.f32 1 u1) 3/2) 3)) (+.f32 (pow.f32 (-.f32 1 u1) 3/2) (+.f32 1 (pow.f32 (-.f32 1 u1) 3)))) (+.f32 2 (-.f32 (sqrt.f32 (-.f32 1 u1)) u1)))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 1 u1) 3) 1) (/.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))) (+.f32 1 (pow.f32 (-.f32 1 u1) 3/2)))
(/.f32 (+.f32 (pow.f32 (-.f32 1 u1) 3) -1) (/.f32 (+.f32 1 (pow.f32 (-.f32 1 u1) 3/2)) (/.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3)) (*.f32 (+.f32 1 (pow.f32 (-.f32 1 u1) 3/2)) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3)) (*.f32 (+.f32 1 (pow.f32 (-.f32 1 u1) 3/2)) (+.f32 2 (-.f32 (sqrt.f32 (-.f32 1 u1)) u1))))
(/.f32 (/.f32 (neg.f32 u1) 1) (+.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 u1) (+.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (neg.f32 u1) (sqrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1))))) (sqrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (neg.f32 u1) (+.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (neg.f32 u1) (*.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))) (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (neg.f32 u1) (+.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) 1) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))
(/.f32 (-.f32 1 (pow.f32 (-.f32 1 u1) 3/2)) (-.f32 (+.f32 u1 -2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))) (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))
(/.f32 (-.f32 1 (pow.f32 (-.f32 1 u1) 3/2)) (-.f32 (+.f32 u1 -2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (*.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))) (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))) (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1))))
(/.f32 (+.f32 -1 (pow.f32 (-.f32 1 u1) 3/2)) (+.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 2 u1)))
(/.f32 (-.f32 1 (pow.f32 (-.f32 1 u1) 3/2)) (-.f32 (+.f32 u1 -2) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 1)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(pow.f32 (sqrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 2)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(pow.f32 (cbrt.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 3)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(pow.f32 (pow.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 3) 1/3)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(sqrt.f32 (pow.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 2))
(fabs.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(log.f32 (exp.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1))))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(cbrt.f32 (pow.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1) 3))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(expm1.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(exp.f32 (*.f32 (log.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)) 1))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(log1p.f32 (expm1.f32 (+.f32 (sqrt.f32 (-.f32 1 u1)) -1)))
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(fma.f32 1 (sqrt.f32 (-.f32 1 u1)) -1)
(+.f32 1 (+.f32 (sqrt.f32 (-.f32 1 u1)) -2))
(+.f32 (sqrt.f32 (-.f32 1 u1)) -1)
(fma.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4) -1)
(*.f32 (+.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (+.f32 (pow.f32 (-.f32 1 u1) 1/4) -1))
(+.f32 -1 (pow.f32 (-.f32 1 u1) 1/2))
(fma.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.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)
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(pow.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)))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(pow.f32 (cbrt.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)))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(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 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 0)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(+.f32 0 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(+.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))
(+.f32 (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 1/2 (log1p.f32 (neg.f32 u1)))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))) 1)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))) 1)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 1 (.f32 1/2 (log1p.f32 (neg.f32 u1))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 (sqrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 1/2 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 1/2 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (log1p.f32 (neg.f32 u1)))
(*.f32 (/.f32 1/2 (log1p.f32 (neg.f32 u1))) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)))
(/.f32 (*.f32 -1/2 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (.f32 1/2 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (.f32 0 (log1p.f32 (neg.f32 u1))))))
(/.f32 (*.f32 1/2 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)))
(*.f32 (/.f32 1/2 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (*.f32 -1/2 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3) 1/3)
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 2))
(fabs.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(log.f32 (sqrt.f32 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))

localize69.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 2 (exp.f32 (log.f32 (.f32 (PI.f32) u2)))))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	1.5b	(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

Compiler

Compiled 62 to 21 computations (66.1% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite119.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`unswap-sqr`
906×	`swap-sqr`
476×	`distribute-rgt-in`
436×	`distribute-lft-in`
342×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	350	61
2	4089	61

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(exp.f32 (log.f32 (*.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))))))

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

Outputs

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

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

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

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1508×	`distribute-lft-in`
1500×	`distribute-rgt-in`
912×	`associate-/r*`
804×	`associate-l`
756×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	5196
1	854	4808
2	3781	4796

Stop Event

1×	node limit

Counts

126 → 163

Calls

Call 1

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

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

eval723.0ms (5.3%)

Compiler: Compiled 35219 to 21564 computations (38.8% saved)

prune473.0ms (3.5%)

Pruning

60 alts after pruning (51 fresh and 9 done)

	Pruned	Kept	Total
New	1199	29	1228
Fresh	18	22	40
Picked	0	1	1
Done	3	8	11
Total	1220	60	1280

Error

0.0b

Counts

1280 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	3.1b	(fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
	9.1b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2)))) 2)
✓	9.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	9.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))) 2)
	10.8b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 2)
	8.4b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	10.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
	8.3b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	14.8b	(.f32 (+.f32 (+.f32 -1 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1) (sqrt.f32 (log1p.f32 u1)))
	10.7b	(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
	5.5b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.1b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	3.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.7b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/2 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 (/.f32 (neg.f32 u1) (.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))))) (cbrt.f32 (+.f32 1 (sqrt.f32 (-.f32 1 u1))))))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1)))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/8))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (.f32 -1/2 u1))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	11.2b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
	10.8b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1/6) 6))
	1.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
	16.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (.f32 2 (*.f32 u2 (PI.f32))) 1)))
✓	11.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) -2) 1)))
	29.7b	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 -1))
	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	5.7b	(.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))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 u1))
	11.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
	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)))
▶	10.7b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
▶	8.9b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
	10.7b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))
▶	9.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	11.2b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 2036 to 1718 computations (15.6% saved)

localize116.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 109 to 85 computations (22% saved)

series101.0ms (0.7%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
86.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1)))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
5.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1)))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
5.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1)))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1)))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(log1p.f32 (/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1)))))

rewrite395.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`associate-*r/`
454×	`add-sqr-sqrt`
440×	`*-un-lft-identity`
438×	`pow1`
416×	`add-cbrt-cube`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	105
1	456	105
2	5713	93

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

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

(log1p.f32 (/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1)))))

(-.f32 -1 (sqrt.f32 (-.f32 1 u1)))

Outputs

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

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

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1042×	`fma-def`
984×	`*-commutative`
938×	`unswap-sqr`
782×	`associate-+r-`
758×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	3987
1	598	3669
2	2179	3511
3	6720	3511

Stop Event

1×	node limit

Counts

91 → 143

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.5%)

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)))

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))))
	0.4b	(*.f32 u2 (PI.f32))
✓	0.4b	(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
✓	2.0b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))

Compiler

Compiled 44 to 21 computations (52.3% saved)

series54.0ms (0.4%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	u2	@	inf	(log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))))
13.0ms	u2	@	0	(log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))))
12.0ms	u2	@	-inf	(log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))))
1.0ms	u1	@	0	(log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))))
1.0ms	u1	@	-inf	(log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`unswap-sqr`
824×	`swap-sqr`
468×	`sqr-pow`
452×	`pow-sqr`
422×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	268	79
2	3011	79

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

Inputs
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (.f32 (sqrt.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 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 2 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (*.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 u1)) (*.f32 2 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) (cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 u1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 u1 4))) (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 u2) (*.f32 (PI.f32) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)) (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 u2)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (pow.f32 u1 1/4)) (pow.f32 u1 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) (PI.f32)) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 (sqrt.f32 u1) 2))) (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 (sqrt.f32 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (fabs.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (fabs.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (fabs.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (fabs.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (fabs.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (*.f32 (fabs.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3/2) (pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/6) (pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (/.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)) (pow.f32 (exp.f32 1) (/.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (/.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 2)) (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (/.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 2)) (/.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 2)) (/.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 2)))))) (#(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 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simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-r`
486×	`associate-l`
352×	`*-commutative`
268×	`fma-def`
236×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	6127
1	1004	6127
2	4943	6127

Stop Event

1×

unsound

Counts

203 → 162

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

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

localize88.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
✓	0.3b	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))
✓	0.4b	(*.f32 (PI.f32) (+.f32 u2 u2))
✓	0.5b	(pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)

Compiler

Compiled 54 to 18 computations (66.7% saved)

series10.0ms (0.1%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	0	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))
1.0ms	u2	@	0	(pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
0.0ms	u2	@	0	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))
0.0ms	u1	@	inf	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))
0.0ms	u2	@	inf	(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`unswap-sqr`
840×	`swap-sqr`
566×	`associate-*r/`
462×	`distribute-rgt-in`
452×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	308	108
2	3789	52

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

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

simplify106.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

770×	`times-frac`
762×	`distribute-lft-out`
570×	`associate-/l*`
554×	`associate-/r*`
546×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	381	5106
1	1206	4848
2	3377	4422
3	7440	4330

Stop Event

1×	node limit

Counts

152 → 227

Calls

Call 1

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

Outputs
(.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 4 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))
(.f32 4 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))))
(.f32 (pow.f32 (PI.f32) 2) (.f32 4 (*.f32 u2 u2)))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 (.f32 -16/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -16/3)))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 128/45))))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 128/45))))
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(/.f32 (*.f32 (-.f32 (cos.f32 0) (cos.f32 0)) (log1p.f32 u1)) 2)
0
(pow.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1)) 1)
0
(pow.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))) 2)
0
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))) 3)
0
(pow.f32 (*.f32 (pow.f32 (sin.f32 0) 4) (pow.f32 (log1p.f32 u1) 2)) 1/2)
0
(pow.f32 (pow.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1)) 3) 1/3)
0
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 0) 4) (pow.f32 (log1p.f32 u1) 2)))
0
(log.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 0) 2)))
0
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1)))))
0
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1)) 3))
0
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 (sin.f32 0) 2) 3) (pow.f32 (log1p.f32 u1) 3)))
0
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (pow.f32 (sin.f32 0) 2) 3)))
0
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))))
0
(exp.f32 (log.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))))
0
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))))
0
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) 1)
0
(*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))
0
(.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))) 1)
0
(.f32 1 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))
0
(.f32 (sqrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))
0
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 0))
0
(.f32 (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))))
0
(.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))) (cbrt.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))
0
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 0) 4) (pow.f32 (log1p.f32 u1) 2)))) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1)))))
0
(.f32 (pow.f32 1 1/2) (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))
0
(.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 0) 4) (pow.f32 (log1p.f32 u1) 2))) 1/2) (pow.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))) 1/2))
0
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sin.f32 0))) (*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sin.f32 0))))
0
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))))
0
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))))
0
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))))))
0
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))))))
0
(.f32 (.f32 (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))) (.f32 (cbrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))))
0
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))))
0
(pow.f32 (*.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1)) 1/2)
0
(pow.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))) 1)
0
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))) 2)
0
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))) 3)
0
(pow.f32 (pow.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
0
(fabs.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))
0
(log.f32 (pow.f32 (exp.f32 (sin.f32 0)) (sqrt.f32 (log1p.f32 u1))))
0
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))))))
0
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1))) 3))
0
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))
0
(exp.f32 (log.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))
0
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (sin.f32 0) 2) (log1p.f32 u1))) 1/2))
0
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))) 1))
0
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 0) (sqrt.f32 (log1p.f32 u1)))))
0

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.4b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
✓	1.9b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Compiler

Compiled 59 to 34 computations (42.4% saved)

series3.0ms (0%)

Counts

4 → 64

Calls

18 calls:

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

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`unswap-sqr`
874×	`swap-sqr`
532×	`sqr-pow`
516×	`pow-sqr`
432×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	100
1	302	100
2	3379	100

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (sqrt.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 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simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1462×	`distribute-lft-in`
1348×	`associate-/r*`
980×	`associate-*r/`
864×	`associate-l`
862×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	9180
1	833	8652
2	4041	8588

Stop Event

1×	node limit

Counts

164 → 162

Calls

Call 1

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

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

eval381.0ms (2.8%)

Compiler: Compiled 20615 to 14339 computations (30.4% saved)

prune194.0ms (1.4%)

Pruning

58 alts after pruning (45 fresh and 13 done)

	Pruned	Kept	Total
New	748	13	761
Fresh	14	32	46
Picked	0	1	1
Done	1	12	13
Total	763	58	821

Error

0.0b

Counts

821 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	3.1b	(fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (.f32 u1 u1))))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (.f32 2 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
✓	9.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	10.8b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 2)
	11.3b	(pow.f32 (exp.f32 1) (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))
	8.3b	(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
	10.8b	(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (.f32 2 (.f32 u2 (PI.f32)))))
	14.8b	(.f32 (+.f32 (+.f32 -1 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1) (sqrt.f32 (log1p.f32 u1)))
	10.7b	(.f32 (.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
	10.7b	(.f32 (.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
	5.5b	(.f32 (.f32 u2 (PI.f32)) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) 2))
	11.2b	(.f32 (.f32 2 u2) (*.f32 (PI.f32) (sqrt.f32 (log1p.f32 u1))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.1b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	3.1b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.7b	(.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)))
	4.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/2 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 u1 (-.f32 -1 (sqrt.f32 (-.f32 1 u1)))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 u1 (+.f32 (-.f32 -1 (+.f32 1 (sqrt.f32 (-.f32 1 u1)))) 1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.1b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (/.f32 u1 -2))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.7b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log1p.f32 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/8))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	14.2b	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1/6) 6))
	1.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	5.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
	16.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (.f32 2 (*.f32 u2 (PI.f32))) 1)))
✓	11.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) -2) 1)))
	6.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
	5.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	5.7b	(.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))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	5.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	13.5b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 u1))
	19.9b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	10.7b	(.f32 2 (.f32 u2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)))
✓	10.7b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	10.7b	(.f32 2 (.f32 u2 (sqrt.f32 (*.f32 u1 (pow.f32 (PI.f32) 2)))))
	10.9b	(.f32 2 (.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
	8.2b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2) u1))
	29.7b	(sqrt.f32 (*.f32 0 (log1p.f32 u1)))
✓	9.4b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	11.2b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))
	8.3b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1023 to 864 computations (15.5% saved)

regimes439.0ms (3.2%)

Counts

104 → 1

Calls

Call 1

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

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

Calls

10 calls:

50.0ms	u2
50.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
48.0ms	(.f32 (.f32 2 (PI.f32)) u2)
45.0ms	u1
43.0ms	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 1626 to 965 computations (40.7% saved)

regimes134.0ms (1%)

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

29.0ms	u2
28.0ms	(.f32 (.f32 2 (PI.f32)) u2)
28.0ms	u1
28.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
14.0ms	cosTheta_i

Results

Error	Segments	Branch
3.1b	1	`cosTheta_i`
1.4b	2	`u1`
1.4b	2	`u2`
2.1b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.4b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 371 to 227 computations (38.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.023868417367339134	0.02436668425798416

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes97.0ms (0.7%)

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

21.0ms	(.f32 (.f32 2 (PI.f32)) u2)
20.0ms	u2
20.0ms	u1
20.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
10.0ms	cosTheta_i

Results

Error	Segments	Branch
4.1b	1	`cosTheta_i`
1.7b	2	`u1`
1.7b	2	`u2`
2.4b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.7b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 253 to 157 computations (37.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004706263542175293	0.004791323561221361

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes93.0ms (0.7%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	(.f32 (.f32 2 (PI.f32)) u2)
20.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
19.0ms	u1
19.0ms	u2
10.0ms	cosTheta_i

Results

Error	Segments	Branch
4.1b	1	`cosTheta_i`
1.7b	2	`u1`
1.7b	2	`u2`
2.4b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.7b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 235 to 143 computations (39.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004706263542175293	0.004791323561221361

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes88.0ms (0.6%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(.f32 (.f32 2 (PI.f32)) u2)
18.0ms	u2
18.0ms	u1
18.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
9.0ms	cosTheta_i

Results

Error	Segments	Branch
5.4b	1	`cosTheta_i`
3.2b	2	`u1`
2.7b	2	`u2`
3.3b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
2.7b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 219 to 132 computations (39.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009683105163276196	0.009797453880310059

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes73.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
7.7b	1	`cosTheta_i`
5.9b	2	`u1`
5.3b	2	`u2`
5.8b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
5.3b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 169 to 109 computations (35.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009683105163276196	0.009797453880310059

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes21.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 0 (log1p.f32 u1)))
(.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 (.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 -1))
(.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	u2
6.0ms	cosTheta_i
6.0ms	u1

Results

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

Compiler

Compiled 103 to 64 computations (37.9% saved)

regimes18.0ms (0.1%)

Accuracy

Total -19.0b remaining (-177.5%)

Threshold costs -19.0b (-177.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	u1
5.0ms	cosTheta_i
5.0ms	u2

Results

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

Compiler

Compiled 79 to 50 computations (36.7% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	649
1	121	649
2	147	649
3	194	633
4	250	633
5	320	633
6	391	633
7	430	633
8	434	633

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 6442451/268435456) (.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 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (.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) 162739/16777216) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 u1)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 162739/16777216) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(sqrt.f32 (*.f32 0 (log1p.f32 u1)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 6442451/268435456) (.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 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32)))))
(if (<=.f32 u1 6442451/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 6442451/268435456) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (neg.f32 (+.f32 -1/2 (.f32 u1 -1/3)))))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 6442451/268435456) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 6442451/268435456) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 1/2 (.f32 u1 1/3))))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (.f32 2 (.f32 u1 (+.f32 -1/2 (.f32 u1 -1/4)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 10200547/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 -2 (.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 10200547/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 (.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4))) -2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 10200547/2147483648) (.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))) 10200547/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 10200547/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 162739/16777216) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 162739/16777216) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 162739/16777216) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 162739/16777216) (.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 162739/16777216) (.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (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 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (-.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(sqrt.f32 (*.f32 0 (log1p.f32 u1)))

Compiler

Compiled 229 to 178 computations (22.3% saved)

soundness29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

end79.0ms (0.6%)

Compiler: Compiled 205 to 123 computations (40% 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	649
1	121	649
2	147	649
3	194	633
4	250	633
5	320	633
6	391	633
7	430	633
8	434	633

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

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

Iter	Nodes	Cost
0	75	649
1	121	649
2	147	649
3	194	633
4	250	633
5	320	633
6	391	633
7	430	633
8	434	633

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

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

Iter	Nodes	Cost
0	75	649
1	121	649
2	147	649
3	194	633
4	250	633
5	320	633
6	391	633
7	430	633
8	434	633

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