Metrics for Beckmann Sample, near normal, slope

analyze240.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.6s (16.8%)

Results

2.6s	8256×	body	256	valid
2.0ms	8×	body	256	precondition

Bogosity

preprocess744.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

236×	`(log.f32 (-.f32 1 u1))`
19×	No Errors
1×	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`

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 70 to 55 computations (21.4% saved)

eval1.0ms (0%)

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

prune2.0ms (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)))
▶	53.2%	(.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)))
▶	53.2%	(.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)

localize261.0ms (1.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	98.8%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.7%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	98.8%	(.f32 (.f32 2 (PI.f32)) u2)
✓	51.3%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 98 to 60 computations (38.8% saved)

series58.0ms (0.4%)

Counts

8 → 104

Calls

30 calls:

Time	Variable		Point	Expression
31.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
8.0ms	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)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite241.0ms (1.6%)

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	204
1	349	168
2	3240	168

Stop Event

1×	node limit

Counts

8 → 168

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

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

simplify305.0ms (2%)

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	13789
1	1045	12228
2	4590	11466

Stop Event

1×	node limit

Counts

272 → 260

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))))
(+.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 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
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(-.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 (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))))
(-.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 (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))))
(+.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)))))

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

eval204.0ms (1.3%)

Compiler: Compiled 8392 to 5989 computations (28.6% saved)

prune110.0ms (0.7%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	285	27	312
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	286	28	314

Accuracy

99.8%

Counts

314 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
	77.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	75.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	77.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.6%	(.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)))))))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
▶	99.0%	(.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)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.4%	(.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))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	80.2%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	44.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	77.6%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
	72.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	72.1%	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
	77.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	75.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	77.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	88.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.6%	(.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)))))))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
▶	99.0%	(.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)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.4%	(.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))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	80.2%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	44.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	76.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	77.6%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
	72.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 1946 to 1594 computations (18.1% saved)

localize566.0ms (3.7%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(sqrt.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	98.8%	(*.f32 (PI.f32) u2)
✓	98.4%	(pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	99.2%	(log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.0%	(expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	98.8%	(*.f32 (PI.f32) u2)
✓	99.6%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
✓	99.5%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.1%	(pow.f32 (log1p.f32 u1) 3/2)
	98.8%	(.f32 (.f32 2 (PI.f32)) u2)
✓	100.0%	(log1p.f32 (neg.f32 u1))
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.3%	(-.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))))
✓	99.2%	(.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
✓	98.8%	(*.f32 (PI.f32) u2)
✓	98.4%	(.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))

Compiler

Compiled 284 to 91 computations (68% saved)

series72.0ms (0.5%)

Counts

17 → 185

Calls

60 calls:

Time	Variable		Point	Expression
11.0ms	u2	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
10.0ms	u2	@	inf	(log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))
6.0ms	u1	@	0	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
5.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
5.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))

rewrite225.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log1p-expm1-u`
303×	`expm1-udef`
303×	`log1p-udef`
220×	`expm1-log1p-u`
211×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	383
1	597	345
2	6500	345

Stop Event

1×	node limit

Counts

17 → 501

Calls

Call 1

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

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

simplify430.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

303×	`*-commutative`
285×	`associate-+r+`
276×	`associate-+l+`
272×	`unswap-sqr`
220×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1180	30388
1	3289	30388

Stop Event

1×	node limit

Counts

686 → 482

Calls

Call 1

Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (.f32 (pow.f32 u2 8) (+.f32 (.f32 -1/360 (pow.f32 (PI.f32) 8)) (*.f32 -1/2520 (pow.f32 (PI.f32) 8)))))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.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))
1
(+.f32 1 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (*.f32 1/4 (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/24 (pow.f32 (PI.f32) 6)) (.f32 -1/360 (pow.f32 (PI.f32) 6)))))))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
1
(+.f32 1 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (-.f32 (+.f32 (.f32 -1/24 (pow.f32 (PI.f32) 6)) (.f32 -1/360 (pow.f32 (PI.f32) 6))) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (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))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (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))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (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))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (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))
(.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
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(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/2)
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3/2) 1/3)
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/4) 2)
(fabs.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log.f32 (exp.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))

Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (.f32 (pow.f32 u2 8) (+.f32 (.f32 -1/360 (pow.f32 (PI.f32) 8)) (*.f32 -1/2520 (pow.f32 (PI.f32) 8)))))))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (.f32 (pow.f32 u2 8) (.f32 (pow.f32 (PI.f32) 8) -1/315)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
1
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 1 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 1 (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (*.f32 1/4 (pow.f32 (PI.f32) 4))))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 1 (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/24 (pow.f32 (PI.f32) 6)) (.f32 -1/360 (pow.f32 (PI.f32) 6)))))))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45))))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
1
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 1 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (-.f32 (+.f32 (.f32 -1/24 (pow.f32 (PI.f32) 6)) (.f32 -1/360 (pow.f32 (PI.f32) 6))) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(+.f32 1 (fma.f32 (pow.f32 u2 2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 u2 4) (+.f32 (.f32 (pow.f32 (PI.f32) 4) 1/3) (.f32 1/3 (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (-.f32 (.f32 (pow.f32 (PI.f32) 6) -2/45) (*.f32 (pow.f32 (PI.f32) 6) 2/45))))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (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))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (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))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (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))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (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))
(.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.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 (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 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.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 (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 (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 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (/.f32 (.f32 1/2 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.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)) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.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)) (pow.f32 u1 2)) (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))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (/.f32 (.f32 1/2 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(*.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)))
(+.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 (.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 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.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 -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 -1 (log.f32 (/.f32 -1 u1)))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 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 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (pow.f32 u1 2)))))
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(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(fma.f32 (PI.f32) u2 (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(fma.f32 u2 (PI.f32) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(fma.f32 1 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (.f32 (PI.f32) u2)) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(fma.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (.f32 (PI.f32) u2)) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (neg.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 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) (.f32 (+.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (sqrt.f32 (log1p.f32 u1)) (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))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(/.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(/.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6))) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4)))
(.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 6) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6)) (/.f32 1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))))
(/.f32 (.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 6)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4)))
(.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 6) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6)) (/.f32 1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))))
(pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 1 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (sqrt.f32 2) (sqrt.f32 (.f32 (PI.f32) u2)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/4) (pow.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1/4))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (sqrt.f32 (.f32 (PI.f32) 2)) (sqrt.f32 u2))
(.f32 (sqrt.f32 (.f32 2 (PI.f32))) (sqrt.f32 u2))
(.f32 (sqrt.f32 u2) (sqrt.f32 (.f32 (PI.f32) 2)))
(.f32 (sqrt.f32 (.f32 2 (PI.f32))) (sqrt.f32 u2))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)) (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/2)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3/2) 1/3)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1/4) 2)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(fabs.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3/2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(expm1.f32 (log1p.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(exp.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(log1p.f32 (expm1.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))

eval424.0ms (2.7%)

Compiler: Compiled 23958 to 13580 computations (43.3% saved)

prune296.0ms (1.9%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	838	26	864
Fresh	9	13	22
Picked	3	2	5
Done	0	1	1
Total	850	42	892

Accuracy

99.9%

Counts

892 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
	77.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	75.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (-.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)))))
	75.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	65.2%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	77.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	77.6%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (-.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)))))
	66.8%	(*.f32 (pow.f32 (log1p.f32 u1) 1/2) 1)
	88.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	75.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	90.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.5%	(.f32 (sqrt.f32 (neg.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)))))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	68.0%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) 3) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
	36.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/4)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/2)))
	97.4%	(.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))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)) 1) (+.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) 1))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	80.2%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	44.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.2%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) (-.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)))))
	76.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	77.6%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	74.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	34.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	72.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	72.1%	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
	77.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	75.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (-.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)))))
	75.2%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	65.2%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	77.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	77.6%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (-.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)))))
	66.8%	(*.f32 (pow.f32 (log1p.f32 u1) 1/2) 1)
	88.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	75.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	90.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.5%	(.f32 (sqrt.f32 (neg.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)))))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	68.0%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) 3) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
	36.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/4)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/2)))
	97.4%	(.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))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)) 1) (+.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) 1))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	80.2%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	44.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.2%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) (-.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)))))
	76.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	77.6%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	74.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	34.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	72.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 3124 to 2478 computations (20.7% saved)

localize1.0s (6.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.7%	(sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.3%	(-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))
	98.8%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
✓	99.3%	(-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
✓	98.8%	(.f32 (PI.f32) (.f32 u2 2))
✓	38.6%	(-.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
✓	100.0%	(log1p.f32 u1)
	99.1%	(pow.f32 (log1p.f32 u1) 3/2)
✓	95.3%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
✓	99.3%	(-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
✓	98.8%	(.f32 (PI.f32) (.f32 u2 2))
	98.8%	(*.f32 (PI.f32) u2)
	98.4%	(.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))

Compiler

Compiled 335 to 187 computations (44.2% saved)

series55.0ms (0.4%)

Counts

11 → 144

Calls

39 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
4.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
3.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
3.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite131.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

339×	`log1p-expm1-u`
339×	`expm1-log1p-u`
326×	`pow1`
323×	`add-exp-log`
323×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	424
1	747	382

Stop Event

1×	node limit

Counts

11 → 285

Calls

Call 1

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

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

simplify244.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

814×	`fma-def`
275×	`distribute-rgt-in`
264×	`distribute-lft-in`
253×	`*-commutative`
251×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1112	4294996969
1	3303	25837

Stop Event

1×	node limit

Counts

429 → 614

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)))
1
(+.f32 1 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (-.f32 (.f32 -2/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (.f32 1/3 (.f32 u1 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6)))))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 1/3 (.f32 u1 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))))) (.f32 1/3 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))))) (*.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 1) (.f32 (/.f32 1 u1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (pow.f32 (sqrt.f32 -1) 1/3))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1)))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 1) (.f32 (/.f32 1 u1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (pow.f32 (sqrt.f32 -1) 1/3))))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) (.f32 (sqrt.f32 -1) (+.f32 (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (.f32 3/4 (.f32 (sqrt.f32 1) (.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6) (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3))))) (.f32 (pow.f32 u1 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1))))
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u1
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2
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(*.f32 -1 u1)
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(+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))
(+.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(+.f32 (fma.f32 1 (log1p.f32 (pow.f32 u1 2)) (neg.f32 (.f32 (log1p.f32 u1) 1))) (fma.f32 (log1p.f32 u1) 1 (.f32 (log1p.f32 u1) 1)))
(+.f32 (fma.f32 1 (log1p.f32 (pow.f32 u1 2)) (neg.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 u1 2))) 2) (cbrt.f32 (log1p.f32 (pow.f32 u1 2))) (neg.f32 (.f32 (log1p.f32 u1) 1))) (fma.f32 (log1p.f32 u1) 1 (.f32 (log1p.f32 u1) 1)))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 u1 2))) 2) (cbrt.f32 (log1p.f32 (pow.f32 u1 2))) (neg.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(+.f32 (fma.f32 (sqrt.f32 (log1p.f32 (pow.f32 u1 2))) (sqrt.f32 (log1p.f32 (pow.f32 u1 2))) (neg.f32 (.f32 (log1p.f32 u1) 1))) (fma.f32 (log1p.f32 u1) 1 (.f32 (log1p.f32 u1) 1)))
(+.f32 (fma.f32 (sqrt.f32 (log1p.f32 (pow.f32 u1 2))) (sqrt.f32 (log1p.f32 (pow.f32 u1 2))) (neg.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(*.f32 1 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 2) (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(*.f32 -1 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 3) (pow.f32 (log1p.f32 u1) 3)) (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 3) (pow.f32 (log1p.f32 u1) 3))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (pow.f32 (log1p.f32 u1) 2))) (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))
(/.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 3) (pow.f32 (log1p.f32 u1) 3)) (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (-.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3)) (+.f32 0 (+.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 2) (*.f32 0 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1)
(pow.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 2)
(pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3) 1/3)
(neg.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))
(sqrt.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 2))
(log.f32 (*.f32 (+.f32 1 (pow.f32 u1 2)) (+.f32 1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2) (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(exp.f32 (log.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(fma.f32 1 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 u1 2))) 2) (cbrt.f32 (log1p.f32 (pow.f32 u1 2))) (log1p.f32 u1))
(fma.f32 (sqrt.f32 (log1p.f32 (pow.f32 u1 2))) (sqrt.f32 (log1p.f32 (pow.f32 u1 2))) (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))) 1)
(pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) 1)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))) 3)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))) 2)
(sqrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) 2))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) 3))
(cbrt.f32 (.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (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 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))) 1))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))) 1)
(*.f32 1 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(*.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(*.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1/4) (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1/2))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (pow.f32 (log1p.f32 u1) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 3) (pow.f32 (log1p.f32 u1) 3))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1/2)
(pow.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2) 1/3)
(pow.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1/4) 2)
(fabs.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
1
(+.f32 1 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (pow.f32 u2 2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) -2) 1)
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4))))))
(+.f32 1 (fma.f32 (pow.f32 u2 2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3))))
(+.f32 (fma.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) -2) 1) (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3)))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (-.f32 (.f32 -2/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(+.f32 1 (fma.f32 (pow.f32 u2 2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (.f32 (pow.f32 u2 6) (-.f32 (.f32 -2/45 (pow.f32 (PI.f32) 6)) (.f32 (pow.f32 (PI.f32) 6) 2/45))))))
(+.f32 (fma.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) -2) 1) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45))))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1/2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1/2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1/2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1/2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1/2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1/2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 1/2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
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u1
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(+.f32 u1 (*.f32 (pow.f32 u1 2) -1/2))
(fma.f32 (pow.f32 u1 2) -1/2 u1)
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(log.f32 u1)
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(fma.f32 -2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2/315 (.f32 (pow.f32 u2 8) (pow.f32 (PI.f32) 8)) (fma.f32 2 (pow.f32 (.f32 u2 (PI.f32)) 2) (.f32 (*.f32 4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
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(-.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(-.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
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(-.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
2
(+.f32 2 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
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(fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) -4 2)
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(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(*.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))) (cbrt.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))))
(*.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1/4) (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1/4))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))))
(*.f32 (fabs.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))) (sqrt.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))))
(*.f32 (fabs.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))) (sqrt.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (pow.f32 (log1p.f32 u1) 2))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (pow.f32 (log1p.f32 u1) 2))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 3) (pow.f32 (log1p.f32 u1) 3))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 3) (pow.f32 (log1p.f32 u1) 3))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 3) (pow.f32 (log1p.f32 u1) 3))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 2)) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))))))
(pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1/2)
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(pow.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1)
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) 3)
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(pow.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2) 1/3)
(cbrt.f32 (pow.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))) 3/2))
(pow.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 1/4) 2)
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(fabs.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(cbrt.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2))
(cbrt.f32 (pow.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(exp.f32 (*.f32 (log.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1/2))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))) 1))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)))))
(sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2))))

eval816.0ms (5.3%)

Compiler: Compiled 30006 to 21373 computations (28.8% saved)

prune356.0ms (2.3%)

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	844	14	858
Fresh	9	25	34
Picked	4	1	5
Done	0	3	3
Total	857	43	900

Accuracy

99.9%

Counts

900 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	77.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	66.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
▶	65.4%	(*.f32 (pow.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) 3/2) 1/3) 1)
	66.3%	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	77.6%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (-.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)))))
	92.2%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) 3/2) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	90.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.5%	(.f32 (sqrt.f32 (neg.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)))))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1)) 2) (cbrt.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1)) (neg.f32 (-.f32 1 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2))))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (fma.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) 2))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/2)))
	97.4%	(.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))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)) 1) (+.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) 1))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	80.2%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	44.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.8%	(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
▶	68.0%	(*.f32 (sqrt.f32 u1) 1)
	89.7%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	76.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	92.1%	(.f32 (cbrt.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	77.6%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	74.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	34.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	72.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	77.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	77.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	66.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
▶	65.4%	(*.f32 (pow.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) 3/2) 1/3) 1)
	66.3%	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	77.6%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (-.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)))))
	92.2%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) 3/2) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	90.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.5%	(.f32 (sqrt.f32 (neg.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)))))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1)) 2) (cbrt.f32 (+.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1)) (neg.f32 (-.f32 1 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2))))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (fma.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) 2))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))))
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/2)))
	97.4%	(.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))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)) 1) (+.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) 1))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	80.2%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	44.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.8%	(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
▶	68.0%	(*.f32 (sqrt.f32 u1) 1)
	89.7%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	76.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	92.1%	(.f32 (cbrt.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	77.6%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.8%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	74.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	34.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	72.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 3208 to 2666 computations (16.9% saved)

localize1.9s (12.3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.2%	(-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1/2)
✓	99.2%	(pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)
	98.8%	(.f32 (PI.f32) (.f32 u2 2))
	98.8%	(*.f32 (PI.f32) u2)
✓	99.9%	(log.f32 (log1p.f32 u1))
✓	99.1%	(pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) 3/2)
✓	95.3%	(pow.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) 3/2) 1/3)
✓	94.8%	(exp.f32 (log.f32 (log1p.f32 u1)))
	100.0%	(log1p.f32 u1)
✓	99.8%	(pow.f32 (log1p.f32 u1) 1/4)
✓	98.5%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
✓	99.3%	(-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))
	98.8%	(.f32 (PI.f32) (.f32 u2 2))
	98.8%	(*.f32 (PI.f32) u2)
✓	98.4%	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)

Compiler

Compiled 279 to 147 computations (47.3% saved)

series17.0ms (0.1%)

Counts

10 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
2.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 1/4)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) 3/2) 1/3)
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (exp.f32 (log.f32 (log1p.f32 u1))) 3/2) 1/3)

rewrite245.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`log1p-expm1-u`
356×	`log1p-udef`
355×	`expm1-udef`
208×	`expm1-log1p-u`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	209
1	514	205
2	5737	205

Stop Event

1×	node limit

Counts

10 → 245

Calls

Call 1

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

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

simplify293.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def`
489×	`associate-r`
473×	`associate-l`
270×	`associate-+r+`
269×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	952	22396
1	2592	20655

Stop Event

1×	node limit

Counts

365 → 518

Calls

Call 1

Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (.f32 (pow.f32 u2 8) (+.f32 (.f32 -1/360 (pow.f32 (PI.f32) 8)) (*.f32 -1/2520 (pow.f32 (PI.f32) 8)))))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
1
(+.f32 1 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (-.f32 (.f32 -2/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (.f32 (pow.f32 u1 2) (+.f32 (.f32 1/64 (sqrt.f32 u1)) (.f32 23/192 (sqrt.f32 u1))))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 u1 2) (+.f32 (.f32 1/64 (sqrt.f32 u1)) (.f32 23/192 (sqrt.f32 u1)))) (.f32 (pow.f32 u1 3) (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (*.f32 -23/1536 (sqrt.f32 u1)))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (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 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1)))))))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))))
(+.f32 (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))))
(+.f32 (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 1 (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (.f32 2 (.f32 (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1))))))))))
(+.f32 (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))))) (.f32 2 (.f32 (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 2 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (.f32 2 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3)))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))))) (.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))))))) (pow.f32 u1 3))) (+.f32 (.f32 1/16 (.f32 (/.f32 1 (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (.f32 2 (.f32 (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))))))))))
(pow.f32 u1 1/4)
(+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (pow.f32 u1 1/4))
(+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (+.f32 (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)) (pow.f32 u1 1/4)))
(+.f32 (.f32 -1/8 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (+.f32 (.f32 -39/1024 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (+.f32 (.f32 23/384 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)) (pow.f32 u1 1/4))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (pow.f32 u1 2))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))))
(pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))) 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (pow.f32 u1 2))) (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 1/4)))
(+.f32 (.f32 -1 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) 1/4) (/.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (.f32 2 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))))) (.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3)))) (pow.f32 u1 3)))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3)) 1/4) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) 1/4) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (pow.f32 u1 2))) (pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))) 1/4))))
u1
(+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 u1 (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3))))
(+.f32 u1 (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (*.f32 1/3 (pow.f32 u1 3)))))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1))))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (.f32 1/3 (.f32 u1 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6)))))))
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1/2
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(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(pow.f32 (exp.f32 1) (log.f32 (log1p.f32 u1)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (log.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 u1)))) (sqrt.f32 (log.f32 (log1p.f32 u1))))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 1 u1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(-.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 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (pow.f32 (log1p.f32 u1) 1/8) (.f32 (pow.f32 (log1p.f32 u1) 1/8) (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 1/3) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/8))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))
(.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(+.f32 0 (log.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (log.f32 (cbrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (log1p.f32 u1)))) 1)
(*.f32 1 (log.f32 (log1p.f32 u1)))
(*.f32 (log.f32 (log1p.f32 u1)) 1)
(*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2) (cbrt.f32 (log.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) (sqrt.f32 (log.f32 (log1p.f32 u1))))
(pow.f32 (log.f32 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) 2)
(sqrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))
(cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (log.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (log.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log.f32 (log1p.f32 u1))) 1))
(log1p.f32 (-.f32 (log1p.f32 u1) 1))
(+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))) 1)
(.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))
(.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1)
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4)))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4)) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (cos.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) u2))))
(/.f32 (+.f32 (cos.f32 (+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))) (cos.f32 (-.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4))
(log.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 6))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)))
(exp.f32 (.f32 2 (log.f32 (cos.f32 (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (.f32 2 (log.f32 (cos.f32 (*.f32 (PI.f32) u2)))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))
(.f32 1 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2))
(.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2) 1)
(.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2)) (cbrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2) 2)))
(.f32 (cbrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2) 2)) (cbrt.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2)) (sqrt.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) -1/8) (/.f32 1 (+.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) 1/4) (.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1/2))))
(.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) -1/4) (/.f32 1 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1/2)))
(/.f32 1 (/.f32 (+.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) 1/4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2)) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) -1/8)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) -1/4)))
(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) -1/8) (+.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) 1/4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2)))
(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) -1/8) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (-.f32 1/4 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2))))
(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) -1/4) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2))
(/.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) -1/4) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 6) -1/8)) (neg.f32 (+.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) 1/4) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) -1/4)) (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2)))
(pow.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2) 1)
(pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)) 3)
(pow.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)) 2)
(sqrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2) 2))
(log.f32 (exp.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2))))
(cbrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2) 3))
(expm1.f32 (log1p.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(exp.f32 (log.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(exp.f32 (.f32 (log.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2)) 1))
(log1p.f32 (expm1.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(fma.f32 1 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) -1/2)
(fma.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) -1/2)

Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2) (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (.f32 (pow.f32 u2 8) (+.f32 (.f32 -1/360 (pow.f32 (PI.f32) 8)) (*.f32 -1/2520 (pow.f32 (PI.f32) 8)))))))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (.f32 (pow.f32 u2 8) (.f32 (pow.f32 (PI.f32) 8) -1/315)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
1
(+.f32 1 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (pow.f32 u2 2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) -2) 1)
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4))))))
(+.f32 1 (fma.f32 (pow.f32 u2 2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3))))
(+.f32 (fma.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) -2) 1) (.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3)))
(+.f32 1 (+.f32 (.f32 (pow.f32 u2 2) (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/3 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (-.f32 (.f32 -2/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(+.f32 1 (fma.f32 (pow.f32 u2 2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (.f32 (pow.f32 u2 6) (-.f32 (.f32 (pow.f32 (PI.f32) 6) -2/45) (.f32 (pow.f32 (PI.f32) 6) 2/45))))))
(+.f32 (fma.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) -2) 1) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45))))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (.f32 1/2 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (fma.f32 1/2 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 1/2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
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u1
(+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 u1 (*.f32 (pow.f32 u1 2) -1/2))
(fma.f32 (pow.f32 u1 2) -1/2 u1)
(+.f32 u1 (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3))))
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(*.f32 -1 (log.f32 (/.f32 1 u1)))
(neg.f32 (neg.f32 (log.f32 u1)))
(log.f32 u1)
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(fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1))
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(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
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(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))
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(sqrt.f32 u1)
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(fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
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(*.f32 (sqrt.f32 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (sqrt.f32 -1))
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(fma.f32 -1/2 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) (cbrt.f32 (sqrt.f32 -1)))) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (sqrt.f32 -1)))
(fma.f32 -1/2 (/.f32 (.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) (cbrt.f32 (sqrt.f32 -1))) u1) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (sqrt.f32 -1)))
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(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)) 2)
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(sqrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2) 2))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) 2))
(fabs.f32 (+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))
(log.f32 (exp.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2))))
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(cbrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2) 3))
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(expm1.f32 (log1p.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(exp.f32 (log.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(exp.f32 (.f32 (log.f32 (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) -1/2)) 1))
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(log1p.f32 (expm1.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)))
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(fma.f32 1 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) -1/2)
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) -1/2)
(+.f32 -1/2 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))
(fma.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) -1/2)
(fma.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)) -1/2)
(fma.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4)) -1/2)

eval861.0ms (5.6%)

Compiler: Compiled 25558 to 18005 computations (29.6% saved)

prune222.0ms (1.4%)

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	809	3	812
Fresh	2	32	34
Picked	2	3	5
Done	0	4	4
Total	813	42	855

Accuracy

99.9%

Counts

855 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	77.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.5%	(*.f32 (pow.f32 (pow.f32 (exp.f32 (log.f32 u1)) 3/2) 1/3) 1)
	66.3%	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	67.7%	(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
	77.6%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (-.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)))))
	92.2%	(.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (pow.f32 u1 2)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) 3/2) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
	90.2%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	79.5%	(.f32 (sqrt.f32 (neg.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)))))
	79.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (-.f32 1 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (*.f32 u2 2))))))) 2))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (fma.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) 2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)) 2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 4) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 1/2) (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/2)))
	97.4%	(.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))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (/.f32 (-.f32 (.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)) 1) (+.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) 1))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 (PI.f32) u2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	80.2%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	53.1%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	44.8%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	66.8%	(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
✓	68.0%	(*.f32 (sqrt.f32 u1) 1)
	89.7%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	76.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	92.1%	(.f32 (cbrt.f32 (pow.f32 (+.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1)) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	77.6%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.6%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	34.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	72.8%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 2029 to 1325 computations (34.7% saved)

regimes307.0ms (2%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

10 calls:

36.0ms	cosTheta_i
34.0ms	(.f32 (.f32 2 (PI.f32)) u2)
33.0ms	(-.f32 1 u1)
33.0ms	u1
33.0ms	u2

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 1292 to 714 computations (44.7% saved)

regimes211.0ms (1.4%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

10 calls:

24.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
23.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	u2
22.0ms	u1
20.0ms	cosTheta_i

Results

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

Compiler

Compiled 733 to 471 computations (35.7% saved)

regimes113.0ms (0.7%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

9 calls:

16.0ms	u1
15.0ms	(.f32 (.f32 2 (PI.f32)) u2)
15.0ms	u2
14.0ms	(-.f32 1 u1)
13.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
90.2%	1	`cosTheta_i`
94.3%	2	`u1`
94.7%	2	`u2`
94.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
94.3%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
94.3%	2	`(log.f32 (-.f32 1 u1))`
94.3%	2	`(-.f32 1 u1)`
94.7%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
94.7%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 190 to 148 computations (22.1% saved)

regimes99.0ms (0.6%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

9 calls:

15.0ms	u1
15.0ms	(-.f32 1 u1)
13.0ms	u2
13.0ms	(.f32 (.f32 2 (PI.f32)) u2)
11.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
80.2%	1	`cosTheta_i`
88.1%	2	`u1`
88.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
88.1%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
88.1%	2	`(log.f32 (-.f32 1 u1))`
88.1%	2	`(-.f32 1 u1)`
91.0%	2	`u2`
91.0%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
91.0%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 141 to 114 computations (19.1% saved)

regimes36.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(*.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:

10.0ms	u1
7.0ms	(-.f32 1 u1)
5.0ms	u2
5.0ms	(log.f32 (-.f32 1 u1))
3.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))

Results

Accuracy	Segments	Branch
80.2%	1	`u1`
80.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
80.2%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
80.2%	1	`(log.f32 (-.f32 1 u1))`
80.2%	1	`(-.f32 1 u1)`
80.2%	1	`u2`

Compiler

Compiled 96 to 79 computations (17.7% saved)

regimes13.0ms (0.1%)

Accuracy

Total -10.9b remaining (-106.1%)

Threshold costs -10.9b (-106.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	u2
4.0ms	u1
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
68.0%	1	`u2`
68.0%	1	`cosTheta_i`
68.0%	1	`u1`

Compiler

Compiled 41 to 32 computations (22% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0027345737908035517	0.0039061245042830706

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999665021896362	0.9999686479568481

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`unsub-neg`
25×	`distribute-lft-neg-in`
25×	`neg-mul-1`
23×	`*-commutative`
17×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	352
1	89	352
2	120	352
3	171	352
4	221	352
5	252	352
6	276	352
7	300	352

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16776679/16777216) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 u1) 1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(.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 (PI.f32) 2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 (PI.f32) 2)) 6442451/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (.f32 (neg.f32 u1) (+.f32 -1 (*.f32 u1 -1/2))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16776679/16777216) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (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 (PI.f32) 2))) 16776679/16777216) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 u1)) (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))))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)

Compiler

Compiled 112 to 92 computations (17.9% saved)

soundness1.7s (10.7%)

Rules

1353×	`fma-def`
947×	`log1p-expm1-u`
947×	`expm1-log1p-u`
585×	`unsub-neg`
575×	`prod-diff`

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	204
1	349	168
2	3240	168
0	37	383
1	597	345
2	6500	345
0	37	383
1	597	345
2	6500	345
0	37	383
1	597	345
2	6500	345
0	413	13789
1	1045	12228
2	4590	11466
0	413	13789
1	1045	12228
2	4590	11466

Stop Event

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

Compiler

Compiled 666 to 326 computations (51.1% saved)

end0.0ms (0%)

preprocess88.0ms (0.6%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 746 to 582 computations (22% saved)

analyze240.0ms (1.5%)

sample2.6s (16.8%)

preprocess744.0ms (4.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize261.0ms (1.7%)

series58.0ms (0.4%)

rewrite241.0ms (1.6%)

simplify305.0ms (2%)

eval204.0ms (1.3%)

prune110.0ms (0.7%)

localize566.0ms (3.7%)

series72.0ms (0.5%)

rewrite225.0ms (1.5%)

simplify430.0ms (2.8%)

eval424.0ms (2.7%)

prune296.0ms (1.9%)

localize1.0s (6.6%)

series55.0ms (0.4%)

rewrite131.0ms (0.8%)

simplify244.0ms (1.6%)

eval816.0ms (5.3%)

prune356.0ms (2.3%)

localize1.9s (12.3%)

series17.0ms (0.1%)

rewrite245.0ms (1.6%)

simplify293.0ms (1.9%)

eval861.0ms (5.6%)

prune222.0ms (1.4%)

regimes307.0ms (2%)

regimes211.0ms (1.4%)

regimes113.0ms (0.7%)

regimes99.0ms (0.6%)

regimes36.0ms (0.2%)

regimes13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

soundness1.7s (10.7%)

end0.0ms (0%)

preprocess88.0ms (0.6%)

Profiling