Metrics for Beckmann Sample, near normal, slope

analyze373.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample3.3s (20.8%)

Results

3.3s	8256×	body	256	valid
0.0ms	1×	body	256	precondition

Bogosity

preprocess787.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1353×	`fma-def`
585×	`unsub-neg`
538×	`fma-neg`
538×	`distribute-neg-in`
437×	`associate-+l+`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
199	3	(0.9999138712882996 0.0045301844365894794 2.780780050670728e-9)	4	(0.9999561309814453 0.010738285258412361 0.16089099645614624)	`(log.f32 (-.f32 1 u1))`
3	0	-	2	(0.9999872446060181 8.53137498779688e-6 0.7319697737693787)	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0	0	-	0	-	`(-.f32 1 u1)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`(.f32 (.f32 2 (PI.f32)) u2)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(*.f32 2 (PI.f32))`
0	0	-	0	-	`2`
0	0	-	0	-	`u2`
0	0	-	0	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	559
1	109	521
2	201	521
3	348	521
4	583	521
5	993	521
6	1224	521
7	1676	521
8	2448	521
9	2970	521
10	3738	521
11	5164	521
12	6066	521
13	6255	521
14	6267	521
15	6729	521
16	7863	521

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 124 to 96 computations (22.6% saved)

eval1.0ms (0%)

Compiler: Compiled 39 to 23 computations (41% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize686.0ms (4.4%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.8%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.6%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.0%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.6%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.0%	(.f32 (.f32 2 (PI.f32)) u2)
✓	56.2%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 98 to 60 computations (38.8% saved)

series68.0ms (0.4%)

Counts

8 → 108

Calls

30 calls:

Time	Variable		Point	Expression
26.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
17.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite287.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`log1p-expm1-u`
947×	`expm1-log1p-u`
575×	`prod-diff`
181×	`expm1-udef`
181×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	206
1	349	178
2	3240	178

Stop Event

1×	node limit

Counts

8 → 163

Calls

Call 1

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

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

simplify239.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

396×	`associate-l`
364×	`associate-r`
346×	`log-prod`
281×	`associate-+r+`
228×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	13035
1	1045	11702
2	4590	10970

Stop Event

1×	node limit

Counts

271 → 258

Calls

Call 1

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

eval189.0ms (1.2%)

Compiler: Compiled 8372 to 5945 computations (29% saved)

prune183.0ms (1.2%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	282	27	309
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	282	29	311

Accuracy

99.7%

Counts

311 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.8%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	60.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 0 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))))
▶	94.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))) (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.4%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	71.8%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	73.1%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	67.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	72.8%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	60.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 0 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))))
▶	94.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))) (fma.f32 (neg.f32 (sin.f32 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.4%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	71.8%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	73.1%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	67.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 2230 to 1658 computations (25.7% saved)

localize799.0ms (5.1%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
✓	99.2%	(pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)
✓	99.1%	(*.f32 (PI.f32) u2)
✓	95.2%	(PI.f32)
✓	99.3%	(log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.3%	(expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	99.1%	(*.f32 (PI.f32) u2)
✓	95.2%	(PI.f32)
✓	99.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	99.3%	(pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)
✓	99.1%	(*.f32 (PI.f32) u2)
✓	95.2%	(PI.f32)
✓	100.0%	(log1p.f32 (neg.f32 u1))
	99.8%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	99.1%	(*.f32 (PI.f32) u2)
✓	96.1%	(exp.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	95.2%	(PI.f32)

Compiler

Compiled 263 to 105 computations (60.1% saved)

series51.0ms (0.3%)

Counts

17 → 180

Calls

48 calls:

Time	Variable		Point	Expression
18.0ms	u2	@	inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
2.0ms	u1	@	-inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
2.0ms	u1	@	inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
1.0ms	u2	@	-inf	(log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))

rewrite185.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`log1p-expm1-u`
782×	`expm1-log1p-u`
237×	`expm1-udef`
237×	`log1p-udef`
219×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	321
1	430	293
2	4488	293

Stop Event

1×	node limit

Counts

17 → 400

Calls

Call 1

Inputs
(PI.f32)
(exp.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))))
(*.f32 (PI.f32) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (neg.f32 u1))
(PI.f32)
(*.f32 (PI.f32) u2)
(pow.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(PI.f32)
(*.f32 (PI.f32) u2)
(expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))
(log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))
(PI.f32)
(*.f32 (PI.f32) u2)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))

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

simplify299.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

574×	`log-prod`
570×	`associate-l`
531×	`associate-r`
440×	`fma-def`
307×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	740	22493
1	1883	20524
2	7365	20524

Stop Event

1×	node limit

Counts

580 → 469

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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 -1/2 (.f32 (/.f32 (.f32 (cos.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 (cos.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 (cos.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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (cos.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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (cos.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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))
(+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))
(+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))))
(+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (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 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/4 (pow.f32 u1 4)))))
(+.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 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))
1
(+.f32 1 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -8/45 (pow.f32 (PI.f32) 6)))))))
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 (pow.f32 u1 2) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 (pow.f32 u1 2) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.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))) (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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.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))) (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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (cos.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) (.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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (.f32 -2 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
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(sqrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 4))
(log.f32 (pow.f32 (exp.f32 (*.f32 (PI.f32) 2)) u2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))
(fma.f32 1 (fma.f32 (PI.f32) (*.f32 u2 2) 1) -1)
(fma.f32 (.f32 (cbrt.f32 (fma.f32 (PI.f32) (.f32 u2 2) 1)) (cbrt.f32 (fma.f32 (PI.f32) (.f32 u2 2) 1))) (cbrt.f32 (fma.f32 (PI.f32) (.f32 u2 2) 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 (PI.f32) (.f32 u2 2) 1)) (sqrt.f32 (fma.f32 (PI.f32) (.f32 u2 2) 1)) -1)
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 1 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(pow.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(log.f32 (fma.f32 (PI.f32) (*.f32 u2 2) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) 1)
(*.f32 (PI.f32) 1)
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(sqrt.f32 (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) 1))
(log1p.f32 (expm1.f32 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(+.f32 (.f32 (cos.f32 (fma.f32 (PI.f32) (.f32 u2 2) 1)) (cos.f32 1)) (.f32 (sin.f32 (fma.f32 (PI.f32) (.f32 u2 2) 1)) (sin.f32 1)))
(-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4)) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2)))
(.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (fma.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(fabs.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1 (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(fma.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(fma.f32 (cos.f32 (fma.f32 (PI.f32) (.f32 u2 2) 1)) (cos.f32 1) (.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 u2 2) 1)) (sin.f32 1)))
(fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4)) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)) 1/2)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))
(fabs.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.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)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (log1p.f32 u1))) 1/2))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

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

eval511.0ms (3.2%)

Compiler: Compiled 26752 to 18179 computations (32% saved)

prune353.0ms (2.2%)

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1019	21	1040
Fresh	13	9	22
Picked	1	4	5
Done	0	2	2
Total	1033	36	1069

Accuracy

99.8%

Counts

1069 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.8%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	60.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	69.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	86.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	71.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	61.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
✓	94.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	93.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (E.f32) (log.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.4%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
▶	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	73.1%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
	59.9%	(sqrt.f32 (log1p.f32 u1))
	35.2%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
▶	67.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	72.8%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	60.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	69.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	86.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	71.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	61.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
✓	94.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	93.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/4) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (E.f32) (log.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.4%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
▶	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	73.1%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
	59.9%	(sqrt.f32 (log1p.f32 u1))
	35.2%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
▶	67.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Compiler

Compiled 2438 to 1960 computations (19.6% saved)

localize674.0ms (4.3%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.1%	(.f32 (PI.f32) (.f32 u2 2))
✓	98.0%	(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
✓	97.8%	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	95.2%	(PI.f32)
✓	99.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
✓	99.1%	(.f32 (PI.f32) (.f32 u2 2))
✓	96.6%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	95.2%	(PI.f32)
✓	99.7%	(sqrt.f32 (log1p.f32 u1))
✓	99.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
	95.2%	(PI.f32)
✓	99.1%	(.f32 u2 (.f32 2 (PI.f32)))
	95.2%	(PI.f32)
✓	95.2%	(E.f32)
✓	95.1%	(pow.f32 (E.f32) (log.f32 (.f32 u2 (.f32 2 (PI.f32)))))

Compiler

Compiled 250 to 130 computations (48% saved)

series113.0ms (0.7%)

Counts

11 → 140

Calls

39 calls:

Time	Variable		Point	Expression
41.0ms	u2	@	0	(pow.f32 (E.f32) (log.f32 (.f32 u2 (.f32 2 (PI.f32)))))
20.0ms	u2	@	-inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
15.0ms	u2	@	-inf	(pow.f32 (E.f32) (log.f32 (.f32 u2 (.f32 2 (PI.f32)))))
14.0ms	u2	@	inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
8.0ms	u2	@	inf	(pow.f32 (E.f32) (log.f32 (.f32 u2 (.f32 2 (PI.f32)))))

rewrite183.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`log1p-expm1-u`
858×	`expm1-log1p-u`
279×	`fma-def`
261×	`expm1-udef`
260×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	300
1	431	252
2	3974	252

Stop Event

1×	node limit

Counts

11 → 277

Calls

Call 1

Inputs
(pow.f32 (E.f32) (log.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(E.f32)
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(.f32 (PI.f32) (.f32 u2 2))

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

simplify250.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-r`
589×	`associate-l`
522×	`log-prod`
345×	`fma-def`
269×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	591	21778
1	1496	18732
2	6775	18732

Stop Event

1×	node limit

Counts

417 → 317

Calls

Call 1

Inputs
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 u2) (log.f32 (.f32 2 (PI.f32))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 u2) (log.f32 (.f32 2 (PI.f32))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 u2) (log.f32 (.f32 2 (PI.f32))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 u2) (log.f32 (.f32 2 (PI.f32))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 -2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 -2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 -2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 -2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 (pow.f32 u1 2) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 (pow.f32 u1 2) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.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))) (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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.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))) (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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (cos.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) (.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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (.f32 -2 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1))
(+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1)))
(+.f32 (.f32 -1/2 (.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)) (.f32 (pow.f32 u1 2) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1))))
(+.f32 (.f32 -1/2 (.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)) (.f32 (pow.f32 u1 2) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1)))))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))))
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(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 2)
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2))) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 0 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 1)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2) (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(-.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))) (log1p.f32 (neg.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 1)
(.f32 1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 2))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2) (cbrt.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)
(pow.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(exp.f32 (log.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(fma.f32 (cos.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32))) (neg.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(+.f32 1 (-.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1))
(+.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 0)
(+.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) -1)
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 1)
(.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 2)))
(.f32 (cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)) (cbrt.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(.f32 (+.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 1) (-.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3) 1) (+.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2) (+.f32 1 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2) 1) (+.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1))
(pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 3)
(pow.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3) 1/3)
(pow.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2)
(sqrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))
(log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3))
(exp.f32 (log.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(exp.f32 (.f32 (log.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 1))
(log1p.f32 (expm1.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(fma.f32 1 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 0)
(fma.f32 1 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) -1)
(fma.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1 0)
(fma.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1 -1)
(fma.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)) (cbrt.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 0)
(fma.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 2) (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) -1)
(fma.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 0)
(fma.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) -1)
(fma.f32 (+.f32 1 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (/.f32 1 (fma.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (-.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1) 1)) -1)
(fma.f32 (-.f32 1 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)) (/.f32 1 (-.f32 1 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) -1)
(fma.f32 (+.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 1) (-.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 1) 0)
(-.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(pow.f32 (E.f32) (log.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(pow.f32 (E.f32) (.f32 2 (log.f32 (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 1)
(pow.f32 (cbrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (exp.f32 2) (log.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (cbrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (cbrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(sqrt.f32 (pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(cbrt.f32 (pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 3))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 (.f32 u2 2) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 2) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (expm1.f32 (.f32 2 (.f32 u2 (PI.f32)))))

Outputs
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 u2) (log.f32 (.f32 2 (PI.f32))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 u2) (log.f32 (.f32 2 (PI.f32))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 u2) (log.f32 (.f32 2 (PI.f32))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 u2) (log.f32 (.f32 2 (PI.f32))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 -2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))))
(pow.f32 (E.f32) (+.f32 (log.f32 (*.f32 (PI.f32) -2)) (neg.f32 (log.f32 (/.f32 -1 u2)))))
(exp.f32 (-.f32 (log.f32 (*.f32 (PI.f32) -2)) (log.f32 (/.f32 -1 u2))))
(.f32 (pow.f32 (.f32 (PI.f32) -2) 1) (pow.f32 (/.f32 -1 u2) -1))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 -2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))))
(pow.f32 (E.f32) (+.f32 (log.f32 (*.f32 (PI.f32) -2)) (neg.f32 (log.f32 (/.f32 -1 u2)))))
(exp.f32 (-.f32 (log.f32 (*.f32 (PI.f32) -2)) (log.f32 (/.f32 -1 u2))))
(.f32 (pow.f32 (.f32 (PI.f32) -2) 1) (pow.f32 (/.f32 -1 u2) -1))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 -2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))))
(pow.f32 (E.f32) (+.f32 (log.f32 (*.f32 (PI.f32) -2)) (neg.f32 (log.f32 (/.f32 -1 u2)))))
(exp.f32 (-.f32 (log.f32 (*.f32 (PI.f32) -2)) (log.f32 (/.f32 -1 u2))))
(.f32 (pow.f32 (.f32 (PI.f32) -2) 1) (pow.f32 (/.f32 -1 u2) -1))
(exp.f32 (.f32 (log.f32 (E.f32)) (+.f32 (log.f32 (.f32 -2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))))
(pow.f32 (E.f32) (+.f32 (log.f32 (*.f32 (PI.f32) -2)) (neg.f32 (log.f32 (/.f32 -1 u2)))))
(exp.f32 (-.f32 (log.f32 (*.f32 (PI.f32) -2)) (log.f32 (/.f32 -1 u2))))
(.f32 (pow.f32 (.f32 (PI.f32) -2) 1) (pow.f32 (/.f32 -1 u2) -1))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(fma.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))))
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(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log1p.f32 u1))
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(.f32 (fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) 1) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (fma.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (log1p.f32 u1)))))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 u2 4)))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(+.f32 (fma.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1)))) (fma.f32 -4/45 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) (sqrt.f32 (log1p.f32 u1)))) (.f32 2/3 (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 (log1p.f32 u1))))))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (.f32 (fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) 1) (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 u2 4)) (.f32 (*.f32 -4/45 (pow.f32 (PI.f32) 6)) (pow.f32 u2 6)))))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) 1)
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(+.f32 1 (fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (.f32 (.f32 1/24 (pow.f32 u2 4)) (fma.f32 -48 (pow.f32 (PI.f32) 4) (.f32 24 (*.f32 (pow.f32 (PI.f32) 4) 8/3))))))
(+.f32 (fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) 1) (.f32 (fma.f32 (pow.f32 (PI.f32) 4) -48 (.f32 (pow.f32 (PI.f32) 4) 64)) (.f32 (pow.f32 u2 4) 1/24)))
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/720 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1920 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 720 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6)))) (.f32 1440 (.f32 (pow.f32 (PI.f32) 2) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))))) (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -48 (pow.f32 (PI.f32) 4)) (.f32 24 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))))))))
(+.f32 1 (fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (fma.f32 1/720 (.f32 (pow.f32 u2 6) (fma.f32 -1920 (pow.f32 (PI.f32) 6) (fma.f32 720 (.f32 (pow.f32 (PI.f32) 6) -124/45) (.f32 (.f32 1440 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 4) 8/3))))) (.f32 (.f32 1/24 (pow.f32 u2 4)) (fma.f32 -48 (pow.f32 (PI.f32) 4) (.f32 24 (.f32 (pow.f32 (PI.f32) 4) 8/3)))))))
(+.f32 (fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) 1) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 (pow.f32 (PI.f32) 4) -48 (.f32 (pow.f32 (PI.f32) 4) 64))) (.f32 (fma.f32 (pow.f32 (PI.f32) 6) -1920 (fma.f32 1440 (.f32 (pow.f32 (PI.f32) 6) 8/3) (.f32 (pow.f32 (PI.f32) 6) -1984))) (*.f32 (pow.f32 u2 6) 1/720))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(-.f32 (exp.f32 1) 1)
(expm1.f32 1)
(-.f32 (+.f32 (exp.f32 1) (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1))))) 1)
(+.f32 (E.f32) (-.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (E.f32) (pow.f32 (PI.f32) 2)))) 1))
(+.f32 (E.f32) (fma.f32 (.f32 -2 (pow.f32 u2 2)) (.f32 (E.f32) (pow.f32 (PI.f32) 2)) -1))
(+.f32 (E.f32) (fma.f32 (.f32 (E.f32) (pow.f32 (PI.f32) 2)) (.f32 -2 (pow.f32 u2 2)) -1))
(-.f32 (+.f32 (exp.f32 1) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (.f32 (pow.f32 u2 4) (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))))) 1)
(+.f32 (E.f32) (-.f32 (fma.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 4) 8/3)))) 1))
(+.f32 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (.f32 8/3 (E.f32))) (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (*.f32 (E.f32) -2))) (expm1.f32 1))
(-.f32 (+.f32 (exp.f32 1) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))) (.f32 (pow.f32 u2 6) (.f32 (exp.f32 1) (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (*.f32 -4/45 (pow.f32 (PI.f32) 6)))))))) 1)
(+.f32 (E.f32) (-.f32 (fma.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (.f32 (pow.f32 u2 6) (.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 6) -124/45))))) 1))
(+.f32 (fma.f32 -2 (.f32 (E.f32) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (.f32 8/3 (E.f32))) (.f32 (.f32 (pow.f32 (PI.f32) 6) -124/45) (*.f32 (E.f32) (pow.f32 u2 6))))) (expm1.f32 1))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
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(fma.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) -1)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(fma.f32 (+.f32 1 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (/.f32 1 (fma.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (-.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1) 1)) -1)
(fma.f32 (+.f32 1 (pow.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) 3)) (/.f32 1 (fma.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) (+.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) -1) 1)) -1)
(fma.f32 (+.f32 1 (pow.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) 3)) (/.f32 1 (fma.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) (+.f32 -1 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) 1)) -1)
(fma.f32 (-.f32 1 (pow.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)) (/.f32 1 (-.f32 1 (expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) -1)
(fma.f32 (-.f32 1 (pow.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) 2)) (/.f32 1 (-.f32 1 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))) -1)
(fma.f32 (-.f32 1 (pow.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) 2)) (/.f32 1 (-.f32 2 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))) -1)
(fma.f32 (+.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 1) (-.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) 1) 0)
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (E.f32) (log.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (E.f32) (.f32 2 (log.f32 (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 1)
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (cbrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) 3)
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (exp.f32 2) (log.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (exp.f32 2) (log.f32 (sqrt.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(pow.f32 (pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 3) 1/3)
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (cbrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 (log.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2))) (cbrt.f32 (log.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (pow.f32 (E.f32) (sqrt.f32 (log.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (sqrt.f32 (log.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (cbrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2))) (cbrt.f32 (log.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (sqrt.f32 (log.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(sqrt.f32 (pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 2))
(sqrt.f32 (pow.f32 (.f32 u2 (.f32 2 (PI.f32))) 2))
(fabs.f32 (.f32 u2 (.f32 2 (PI.f32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)))
(*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 u2) 2)))
(.f32 (PI.f32) (.f32 2 (log.f32 (exp.f32 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(cbrt.f32 (pow.f32 (.f32 2 (.f32 u2 (PI.f32))) 3))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 (.f32 u2 2) 3)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 2) 3) (pow.f32 (PI.f32) 3)))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(expm1.f32 (log1p.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (log.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))
(log1p.f32 (expm1.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 (*.f32 2 (PI.f32)))))
(.f32 u2 (.f32 2 (PI.f32)))

eval263.0ms (1.7%)

Compiler: Compiled 15521 to 9821 computations (36.7% saved)

prune151.0ms (1%)

Pruning

37 alts after pruning (26 fresh and 11 done)

	Pruned	Kept	Total
New	694	5	699
Fresh	4	21	25
Picked	0	5	5
Done	0	6	6
Total	698	37	735

Accuracy

99.8%

Counts

735 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.7%	(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
	72.8%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	60.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	69.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	86.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	71.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	61.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
✓	94.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	92.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (pow.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 2))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))))
✓	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	75.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (E.f32) (log.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 2 (log.f32 (exp.f32 u2))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.4%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
✓	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	73.1%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
▶	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
▶	59.9%	(sqrt.f32 (log1p.f32 u1))
	35.2%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
✓	67.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	67.7%	(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
	72.8%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.7%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	60.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	69.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	86.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	71.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	61.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
✓	94.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	92.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (pow.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 2))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))))
✓	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	75.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (E.f32) (log.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 2 (log.f32 (exp.f32 u2))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.4%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
✓	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	73.1%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
▶	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
▶	59.9%	(sqrt.f32 (log1p.f32 u1))
	35.2%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
✓	67.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

Compiler

Compiled 2258 to 1854 computations (17.9% saved)

localize756.0ms (4.8%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.4%	(log1p.f32 (sqrt.f32 (log1p.f32 u1)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
	95.2%	(PI.f32)
✓	81.6%	(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	99.2%	(pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)
	99.1%	(*.f32 (PI.f32) u2)
	95.2%	(PI.f32)
✓	99.5%	(+.f32 1 (cos.f32 (.f32 4 (.f32 u2 (PI.f32)))))
✓	99.4%	(cos.f32 (.f32 4 (.f32 u2 (PI.f32))))
✓	99.1%	(*.f32 u2 (PI.f32))
	95.2%	(PI.f32)
✓	100.0%	(log1p.f32 u1)
	99.7%	(sqrt.f32 (log1p.f32 u1))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
✓	99.1%	(.f32 (PI.f32) (.f32 u2 2))
✓	98.4%	(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
	95.2%	(PI.f32)

Compiler

Compiled 252 to 131 computations (48% saved)

series42.0ms (0.3%)

Counts

10 → 69

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
4.0ms	u1	@	-inf	(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
4.0ms	u1	@	inf	(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
3.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
2.0ms	u1	@	0	(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)

rewrite187.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log1p-expm1-u`
343×	`log1p-udef`
342×	`expm1-udef`
228×	`associate-r`
223×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	216
1	639	208
2	6249	208

Stop Event

1×	node limit

Counts

10 → 258

Calls

Call 1

Inputs
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(.f32 (PI.f32) (.f32 u2 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log1p.f32 u1)
(*.f32 u2 (PI.f32))
(cos.f32 (.f32 4 (.f32 u2 (PI.f32))))
(+.f32 1 (cos.f32 (.f32 4 (.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(log1p.f32 (sqrt.f32 (log1p.f32 u1)))

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

simplify166.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

566×	`associate-r`
548×	`associate-l`
432×	`fma-def`
225×	`distribute-rgt-in`
222×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	808	18604
1	2098	16718

Stop Event

1×	node limit

Counts

327 → 455

Calls

Call 1

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

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

eval1.4s (8.7%)

Compiler: Compiled 31151 to 21503 computations (31% saved)

prune245.0ms (1.6%)

Pruning

40 alts after pruning (30 fresh and 10 done)

	Pruned	Kept	Total
New	1158	15	1173
Fresh	6	15	21
Picked	3	2	5
Done	3	8	11
Total	1170	40	1210

Accuracy

99.8%

Counts

1210 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.7%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 2)
	74.5%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
	67.7%	(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
	72.8%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	60.0%	(.f32 (+.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) 1) -1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	69.1%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	86.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	74.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	75.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	75.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	94.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	92.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (pow.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) 2))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))))
✓	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	75.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (E.f32) (log.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (PI.f32) (*.f32 2 (log.f32 (exp.f32 u2))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.0%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	48.4%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
✓	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	73.1%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	59.9%	(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
	71.3%	(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
	71.3%	(sqrt.f32 (.f32 u1 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
✓	59.9%	(sqrt.f32 (log1p.f32 u1))
	35.2%	(sqrt.f32 (log.f32 (+.f32 u1 1)))
	61.5%	(sqrt.f32 u1)
	69.6%	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))

Compiler

Compiled 1804 to 1093 computations (39.4% saved)

regimes295.0ms (1.9%)

Counts

70 → 1

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (E.f32) (log.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))

Calls

10 calls:

34.0ms	(.f32 (.f32 2 (PI.f32)) u2)
32.0ms	u2
32.0ms	u1
30.0ms	cosTheta_i
29.0ms	(-.f32 1 u1)

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
99.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
99.1%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
99.1%	1	`(log.f32 (-.f32 1 u1))`
99.1%	1	`(-.f32 1 u1)`
99.1%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
99.1%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1209 to 601 computations (50.3% saved)

regimes194.0ms (1.2%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

10 calls:

23.0ms	u1
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u2
21.0ms	cosTheta_i
20.0ms	(-.f32 1 u1)

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
99.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
99.0%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
99.0%	1	`(log.f32 (-.f32 1 u1))`
99.0%	1	`(-.f32 1 u1)`
99.0%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
99.0%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 632 to 399 computations (36.9% saved)

regimes123.0ms (0.8%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

9 calls:

16.0ms	(.f32 (.f32 2 (PI.f32)) u2)
16.0ms	u2
16.0ms	u1
15.0ms	(-.f32 1 u1)
15.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
86.9%	1	`cosTheta_i`
92.7%	2	`u1`
93.8%	2	`u2`
92.7%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
92.7%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
92.7%	2	`(log.f32 (-.f32 1 u1))`
92.7%	2	`(-.f32 1 u1)`
93.8%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
93.8%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 189 to 143 computations (24.3% saved)

regimes122.0ms (0.8%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)

Calls

9 calls:

20.0ms	u1
15.0ms	(.f32 (.f32 2 (PI.f32)) u2)
14.0ms	u2
13.0ms	(log.f32 (-.f32 1 u1))
13.0ms	(-.f32 1 u1)

Results

Accuracy	Segments	Branch
76.7%	1	`cosTheta_i`
87.1%	2	`u1`
87.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
87.1%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
87.1%	2	`(log.f32 (-.f32 1 u1))`
87.1%	2	`(-.f32 1 u1)`
89.5%	2	`u2`
89.5%	2	`(.f32 (.f32 2 (PI.f32)) u2)`
89.5%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`

Compiler

Compiled 152 to 118 computations (22.4% saved)

regimes32.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)

Calls

6 calls:

6.0ms	u1
6.0ms	(-.f32 1 u1)
6.0ms	u2
5.0ms	(log.f32 (-.f32 1 u1))
4.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))

Results

Accuracy	Segments	Branch
76.7%	1	`u1`
76.7%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
76.7%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
76.7%	1	`(log.f32 (-.f32 1 u1))`
76.7%	1	`(-.f32 1 u1)`
76.7%	1	`u2`

Compiler

Compiled 85 to 69 computations (18.8% saved)

regimes14.0ms (0.1%)

Accuracy

Total -8.5b remaining (-68.7%)

Threshold costs -8.5b (-68.7%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log.f32 (+.f32 u1 1)))

Outputs
(sqrt.f32 u1)

Calls

3 calls:

5.0ms	u2
4.0ms	u1
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
61.5%	1	`u2`
61.5%	1	`cosTheta_i`
61.5%	1	`u1`

Compiler

Compiled 36 to 28 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999974370002747	0.9999977350234985

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999833106994629	0.9999856948852539

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative`
8×	`+-commutative`
7×	`sub-neg`
7×	`neg-mul-1`
7×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	329
1	77	329
2	92	329
3	108	329
4	114	329
5	118	329
6	119	329

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (E.f32) (log.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388587/8388608) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 4194241/4194304) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (E.f32) (log.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 8388587/8388608) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 8388587/8388608) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (.f32 (neg.f32 u1) (+.f32 -1 (*.f32 u1 -1/2))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 4194241/4194304) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 4194241/4194304) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 u1)

Compiler

Compiled 105 to 87 computations (17.1% saved)

soundness2.2s (14%)

Rules

1353×	`fma-def`
947×	`log1p-expm1-u`
947×	`expm1-log1p-u`
947×	`log1p-expm1-u`
947×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	559
1	109	521
2	201	521
3	348	521
4	583	521
5	993	521
6	1224	521
7	1676	521
8	2448	521
9	2970	521
10	3738	521
11	5164	521
12	6066	521
13	6255	521
14	6267	521
15	6729	521
16	7863	521
0	24	206
1	349	178
2	3240	178
0	30	321
1	430	293
2	4488	293
0	740	22493
1	1883	20524
2	7365	20524
0	24	206
1	349	178
2	3240	178
0	740	22493
1	1883	20524
2	7365	20524
0	24	206
1	349	178
2	3240	178
0	740	22493
1	1883	20524
2	7365	20524
0	413	13035
1	1045	11702
2	4590	10970

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 549 to 388 computations (29.3% saved)

end0.0ms (0%)

preprocess69.0ms (0.4%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 572 to 452 computations (21% saved)

analyze373.0ms (2.4%)

sample3.3s (20.8%)

preprocess787.0ms (5%)

eval1.0ms (0%)

prune3.0ms (0%)

localize686.0ms (4.4%)

series68.0ms (0.4%)

rewrite287.0ms (1.8%)

simplify239.0ms (1.5%)

eval189.0ms (1.2%)

prune183.0ms (1.2%)

localize799.0ms (5.1%)

series51.0ms (0.3%)

rewrite185.0ms (1.2%)

simplify299.0ms (1.9%)

eval511.0ms (3.2%)

prune353.0ms (2.2%)

localize674.0ms (4.3%)

series113.0ms (0.7%)

rewrite183.0ms (1.2%)

simplify250.0ms (1.6%)

eval263.0ms (1.7%)

prune151.0ms (1%)

localize756.0ms (4.8%)

series42.0ms (0.3%)

rewrite187.0ms (1.2%)

simplify166.0ms (1.1%)

eval1.4s (8.7%)

prune245.0ms (1.6%)

regimes295.0ms (1.9%)

regimes194.0ms (1.2%)

regimes123.0ms (0.8%)

regimes122.0ms (0.8%)

regimes32.0ms (0.2%)

regimes14.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness2.2s (14%)

end0.0ms (0%)

preprocess69.0ms (0.4%)

Profiling