Metrics for Beckmann Sample, near normal, slope

analyze197.0ms (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)

sample3.2s (24.8%)

Results

3.2s	8256×	body	256	valid
1.0ms	4×	body	256	precondition

Bogosity

preprocess365.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2706×	`fma-def`
1170×	`unsub-neg`
1076×	`fma-neg`
1076×	`distribute-neg-in`
902×	`associate-+l+`

Problems

235×	`(log.f32 (-.f32 1 u1))`
21×	No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	559
1	106	521
2	198	521
3	345	521
4	580	521
5	988	521
6	1217	521
7	1648	521
8	2420	521
9	2927	521
10	3681	521
11	5135	521
12	6037	521
13	6226	521
14	6238	521
15	6716	521
16	7855	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 u2 (*.f32 (PI.f32) -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 u2 (*.f32 (PI.f32) -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 u2 (*.f32 (PI.f32) -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 u2 (*.f32 (PI.f32) -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 u2 (*.f32 (PI.f32) -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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (neg.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) -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 (neg.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)) (neg.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) -2))) (neg.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (neg.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) -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 u2 (*.f32 (PI.f32) -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 (PI.f32) (*.f32 2 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 (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)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	57.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	57.4%	(.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)

localize283.0ms (2.2%)

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)))
✓	99.1%	(.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)))
✓	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	55.2%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 98 to 60 computations (38.8% saved)

series319.0ms (2.5%)

Counts

8 → 104

Calls

30 calls:

Time	Variable		Point	Expression
269.0ms	u1	@	0	(log.f32 (-.f32 1 u1))
25.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite145.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`prod-diff`
949×	`log1p-expm1-u`
949×	`expm1-log1p-u`
362×	`expm1-udef`
362×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	204
1	346	168
2	3237	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 (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 (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 (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 (cos.f32 (.f32 2 (.f32 (PI.f32) 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)))))))
(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 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.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 (cos.f32 (.f32 2 (.f32 (PI.f32) 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)))))))
(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 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.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)))))

simplify144.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

792×	`associate-l`
728×	`associate-r`
692×	`log-prod`
562×	`associate-+r+`
456×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	13789
1	1040	12228
2	4585	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))))))
(+.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 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 (cos.f32 (.f32 2 (.f32 (PI.f32) 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)))))))
(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 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.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 (cos.f32 (.f32 2 (.f32 (PI.f32) 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)))))))
(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 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.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 u1 -1/2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3))))
(fma.f32 -1 u1 (fma.f32 -1/2 (pow.f32 u1 2) (*.f32 -1/3 (pow.f32 u1 3))))
(-.f32 (fma.f32 -1/2 (pow.f32 u1 2) (*.f32 -1/3 (pow.f32 u1 3))) u1)
(-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1)
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/4 (pow.f32 u1 4)))))
(fma.f32 -1 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/4 (pow.f32 u1 4)))))
(-.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/4 (pow.f32 u1 4)))) u1)
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
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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 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.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 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (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)))

eval157.0ms (1.2%)

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

prune152.0ms (1.2%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	291	21	312
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	291	23	314

Accuracy

99.9%

Counts

314 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.4%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	75.3%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	75.4%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	93.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.5%	(.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)))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	77.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
	89.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))
▶	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	78.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	47.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	74.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.7%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	72.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
▶	72.4%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
	75.3%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	75.4%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	93.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.5%	(.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)))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	77.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
	89.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))
▶	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
▶	78.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	47.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	74.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.7%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	72.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))

Compiler

Compiled 1594 to 1338 computations (16.1% saved)

localize573.0ms (4.5%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.1%	(*.f32 (PI.f32) u2)
✓	97.9%	(expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	97.8%	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))
✓	95.2%	(PI.f32)
✓	99.6%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.1%	(*.f32 (PI.f32) u2)
✓	98.5%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
✓	95.2%	(PI.f32)
✓	99.6%	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2))
✓	99.3%	(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u2))) 2)
✓	99.1%	(.f32 (PI.f32) (.f32 2 u2))
✓	95.2%	(PI.f32)
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.4%	(log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.3%	(expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	99.1%	(*.f32 (PI.f32) u2)
✓	95.2%	(PI.f32)

Compiler

Compiled 271 to 123 computations (54.6% saved)

series101.0ms (0.8%)

Counts

17 → 184

Calls

48 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))
16.0ms	u2	@	inf	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2))
15.0ms	u2	@	-inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))
12.0ms	u2	@	inf	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
7.0ms	u1	@	-inf	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)

rewrite232.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`log1p-expm1-u`
564×	`expm1-udef`
562×	`log1p-udef`
416×	`associate-r`
268×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	321
1	490	313
2	5744	313

Stop Event

1×	node limit

Counts

17 → 366

Calls

Call 1

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

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

simplify195.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1690×	`fma-def`
648×	`distribute-lft-in`
642×	`distribute-rgt-in`
552×	`associate-+r+`
548×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	971	23398
1	2670	21778

Stop Event

1×	node limit

Counts

550 → 542

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 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 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2 (.f32 u2 (PI.f32))))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 8/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 8/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(+.f32 (log.f32 (.f32 2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (.f32 2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32))))))
(-.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (+.f32 (.f32 1/24 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32))))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (.f32 -2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (.f32 -2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32))))))
(-.f32 (+.f32 (log.f32 (.f32 -2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (.f32 -2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (.f32 1/24 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32))))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (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)))))))
(+.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))))))))
(+.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)))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(+.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)))
(+.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))))
(+.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)))))
(.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 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 -4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 4)) (.f32 4 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -8/45 (pow.f32 (PI.f32) 6)))))))
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(.f32 u1 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u1 2) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (.f32 u1 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u1 2) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u1 3) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (.f32 u1 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u1 2) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (+.f32 (.f32 -1/4 (.f32 (pow.f32 u1 4) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u1 3) (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))) (.f32 u1 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))))
(.f32 -1 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 -1 (.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1)))) (/.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1))
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(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 4))) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))))
(.f32 (+.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))) (-.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (-.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2)
(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(fabs.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 1 (-.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))
(+.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 0)
(+.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) -1)
(-.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(.f32 (pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (+.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1) (-.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1) (+.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (+.f32 1 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1) (+.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))
(pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(sqrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))
(log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))
(exp.f32 (log.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(fma.f32 1 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) -1)
(fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)
(fma.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 u2 2))
(.f32 u2 (.f32 (PI.f32) 2))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2 (.f32 u2 (PI.f32))))
(fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (.f32 (PI.f32) (*.f32 u2 2)))
(fma.f32 u2 (.f32 (PI.f32) 2) (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 8/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 8/3 (pow.f32 (.f32 u2 (PI.f32)) 3))))
(fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 8/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (.f32 u2 (.f32 (PI.f32) 2))))
(+.f32 (.f32 -4 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 8/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(fma.f32 -4 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 8/3 (pow.f32 (*.f32 u2 (PI.f32)) 3)))))
(fma.f32 -4 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2) (fma.f32 8/3 (pow.f32 (.f32 u2 (PI.f32)) 3) (.f32 u2 (*.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (.f32 2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (*.f32 (PI.f32) 2)) (neg.f32 (neg.f32 (log.f32 u2))))
(log.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(+.f32 (log.f32 (.f32 2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32))))))
(+.f32 (log.f32 (.f32 (PI.f32) 2)) (fma.f32 -1 (neg.f32 (log.f32 u2)) (/.f32 1/2 (.f32 u2 (PI.f32)))))
(+.f32 (/.f32 1/2 (.f32 u2 (PI.f32))) (log.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(-.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (.f32 (PI.f32) 2)) (fma.f32 -1 (neg.f32 (log.f32 u2)) (/.f32 1/2 (.f32 u2 (PI.f32))))) (/.f32 1/8 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (log.f32 (.f32 u2 (.f32 (PI.f32) 2))) (+.f32 (/.f32 1/2 (.f32 u2 (PI.f32))) (/.f32 -1/8 (pow.f32 (.f32 u2 (PI.f32)) 2))))
(-.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (+.f32 (.f32 1/24 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32))))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (.f32 (PI.f32) 2)) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u2)) (+.f32 (/.f32 1/2 (.f32 u2 (PI.f32))) (/.f32 1/24 (pow.f32 (.f32 u2 (PI.f32)) 3)))) (/.f32 1/8 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (+.f32 (+.f32 (/.f32 1/2 (.f32 u2 (PI.f32))) (log.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (/.f32 1/24 (pow.f32 (.f32 u2 (PI.f32)) 3))) (/.f32 -1/8 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.f32 (log.f32 (.f32 -2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (*.f32 (PI.f32) -2)) (neg.f32 (log.f32 (/.f32 -1 u2))))
(-.f32 (log.f32 (*.f32 (PI.f32) -2)) (log.f32 (/.f32 -1 u2)))
(+.f32 (log.f32 (.f32 -2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32))))))
(+.f32 (log.f32 (.f32 (PI.f32) -2)) (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (/.f32 1/2 (.f32 u2 (PI.f32)))))
(+.f32 (/.f32 1/2 (.f32 u2 (PI.f32))) (-.f32 (log.f32 (.f32 (PI.f32) -2)) (log.f32 (/.f32 -1 u2))))
(-.f32 (+.f32 (log.f32 (.f32 -2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (.f32 (PI.f32) -2)) (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (/.f32 1/2 (.f32 u2 (PI.f32))))) (/.f32 1/8 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (-.f32 (log.f32 (.f32 (PI.f32) -2)) (log.f32 (/.f32 -1 u2))) (+.f32 (/.f32 1/2 (.f32 u2 (PI.f32))) (/.f32 -1/8 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(-.f32 (+.f32 (log.f32 (.f32 -2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (.f32 1/24 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32))))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (.f32 (PI.f32) -2)) (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (/.f32 1/2 (.f32 u2 (PI.f32))) (/.f32 1/24 (pow.f32 (.f32 u2 (PI.f32)) 3)))) (/.f32 1/8 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (-.f32 (log.f32 (.f32 (PI.f32) -2)) (log.f32 (/.f32 -1 u2))) (+.f32 (+.f32 (/.f32 1/2 (.f32 u2 (PI.f32))) (/.f32 1/24 (pow.f32 (.f32 u2 (PI.f32)) 3))) (/.f32 -1/8 (pow.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 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (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)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 -1/2 (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (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))))))))
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(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
(cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 1 (-.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(+.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 0)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(+.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) -1)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(-.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (+.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1) (-.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1) (+.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (+.f32 1 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) -1) (+.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (+.f32 1 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3) -1) (+.f32 1 (+.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1) (+.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))
(/.f32 (+.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) -1) (+.f32 1 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2) -1) (+.f32 1 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(pow.f32 (cbrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(pow.f32 (sqrt.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))
(fabs.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(cbrt.f32 (pow.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (log.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (.f32 (log.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log1p.f32 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(fma.f32 1 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) -1)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)
(fma.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2)) (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) -1)
(fma.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)
(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(*.f32 u2 (PI.f32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))

eval399.0ms (3.1%)

Compiler: Compiled 21302 to 14818 computations (30.4% saved)

prune195.0ms (1.5%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	716	20	736
Fresh	8	8	16
Picked	2	3	5
Done	0	2	2
Total	726	33	759

Accuracy

99.9%

Counts

759 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.3%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
▶	63.2%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	64.1%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
▶	93.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.5%	(.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)))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
▶	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 3) u2)))))))
✓	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	84.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (fma.f32 u2 (.f32 (PI.f32) 2) (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	78.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	47.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	74.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	63.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	64.2%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	65.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))
	72.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 4)))) 2)))
	74.9%	(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
▶	64.2%	(sqrt.f32 (log1p.f32 u1))
	37.3%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	75.3%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
▶	63.2%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	64.1%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
▶	93.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.5%	(.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)))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
▶	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 3) u2)))))))
✓	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	84.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (fma.f32 u2 (.f32 (PI.f32) 2) (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	78.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	47.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	74.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	63.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	64.2%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	65.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))
	72.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 4)))) 2)))
	74.9%	(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
▶	64.2%	(sqrt.f32 (log1p.f32 u1))
	37.3%	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 1998 to 1732 computations (13.3% saved)

localize615.0ms (4.8%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
✓	99.1%	(.f32 (PI.f32) (.f32 u2 2))
✓	98.8%	(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.0%	(*.f32 u1 -1/3)
✓	98.8%	(.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3)))
✓	100.0%	(log1p.f32 u1)
✓	99.0%	(pow.f32 (log1p.f32 u1) 3/2)
✓	95.4%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
✓	100.0%	(log1p.f32 u1)
✓	99.7%	(sqrt.f32 (log1p.f32 u1))
	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 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
✓	99.1%	(.f32 (PI.f32) (.f32 u2 2))
✓	62.1%	(-.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) 1) 1)

Compiler

Compiled 263 to 163 computations (38% saved)

series37.0ms (0.3%)

Counts

14 → 180

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
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	(sqrt.f32 (log1p.f32 u1))
2.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)

rewrite152.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`associate-r`
308×	`log1p-expm1-u`
308×	`expm1-log1p-u`
297×	`pow1`
293×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	370
1	707	308

Stop Event

1×	node limit

Counts

14 → 382

Calls

Call 1

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

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

simplify204.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1496×	`fma-def`
560×	`*-commutative`
532×	`associate-/r*`
470×	`sqr-pow`
414×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	993	28395
1	2852	26250

Stop Event

1×	node limit

Counts

562 → 495

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 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 (log.f32 (/.f32 1 u1))) (sqrt.f32 -1))
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u1
(+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))
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(sqrt.f32 u1)
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(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))))
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(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
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(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) (sqrt.f32 -1))
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(sqrt.f32 (pow.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))
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u1
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(+.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cos.f32 (fma.f32 (.f32 (PI.f32) u2) 2 1)) (cos.f32 1))) (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) u2) 2 1)) (sin.f32 1))))
(+.f32 (.f32 (.f32 (cos.f32 (fma.f32 (.f32 (PI.f32) u2) 2 1)) (cos.f32 1)) (sqrt.f32 (log1p.f32 u1))) (.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) u2) 2 1)) (sin.f32 1)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (.f32 (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 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

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

eval610.0ms (4.8%)

Compiler: Compiled 24738 to 18923 computations (23.5% saved)

prune274.0ms (2.1%)

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	769	18	787
Fresh	9	14	23
Picked	2	3	5
Done	0	5	5
Total	780	40	820

Accuracy

99.9%

Counts

820 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
	63.2%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
▶	64.1%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
	75.3%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	82.8%	(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (*.f32 -1/3 u1) 1/2)))))))
	63.2%	(.f32 (pow.f32 (pow.f32 (+.f32 u1 (.f32 -1/2 (pow.f32 u1 2))) 3/2) 1/3) 1)
	37.3%	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3/2) 1/3) 1)
	64.6%	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
▶	75.6%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	65.6%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6))) 1)
	87.5%	(.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)))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (-.f32 (fma.f32 (.f32 (PI.f32) u2) 2 1) 1))) 3))
✓	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
✓	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	97.6%	(.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)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	78.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	47.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	74.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	93.8%	(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (*.f32 -1/3 u1) 1/2)))))
	75.1%	(sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2))))
	64.2%	(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
	65.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))
	72.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 4)))) 2)))
▶	74.9%	(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
✓	64.2%	(sqrt.f32 (log1p.f32 u1))
	37.3%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
▶	65.7%	(sqrt.f32 u1)
	63.7%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
	64.2%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
	63.2%	(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
	63.2%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
▶	64.1%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
	75.3%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	82.8%	(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (*.f32 -1/3 u1) 1/2)))))))
	63.2%	(.f32 (pow.f32 (pow.f32 (+.f32 u1 (.f32 -1/2 (pow.f32 u1 2))) 3/2) 1/3) 1)
	37.3%	(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3/2) 1/3) 1)
	64.6%	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
▶	75.6%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	65.6%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6))) 1)
	87.5%	(.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)))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	94.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (-.f32 (fma.f32 (.f32 (PI.f32) u2) 2 1) 1))) 3))
✓	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
✓	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	97.6%	(.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)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	78.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	47.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	74.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	93.8%	(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (*.f32 -1/3 u1) 1/2)))))
	75.1%	(sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2))))
	64.2%	(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
	65.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))
	72.9%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 4)))) 2)))
▶	74.9%	(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
✓	64.2%	(sqrt.f32 (log1p.f32 u1))
	37.3%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
▶	65.7%	(sqrt.f32 u1)
	63.7%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
	64.2%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 2184 to 1896 computations (13.2% saved)

localize498.0ms (3.9%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.7%	(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	99.6%	(.f32 (pow.f32 (log1p.f32 u1) 1/2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	99.1%	(.f32 (PI.f32) (.f32 u2 2))
	98.8%	(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
✓	99.7%	(.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
✓	99.7%	(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	99.2%	(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
	99.1%	(.f32 (PI.f32) (.f32 u2 2))
	100.0%	(log1p.f32 u1)
✓	99.8%	(pow.f32 (log1p.f32 u1) 1/4)
✓	98.3%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
✓	99.5%	(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.4%	(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
	99.1%	(.f32 (PI.f32) (.f32 u2 2))

Compiler

Compiled 186 to 115 computations (38.2% saved)

series50.0ms (0.4%)

Counts

10 → 148

Calls

39 calls:

Time	Variable		Point	Expression
15.0ms	u2	@	inf	(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
14.0ms	u2	@	-inf	(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
5.0ms	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	@	0	(.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))

rewrite480.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`prod-diff`
761×	`log1p-expm1-u`
466×	`expm1-udef`
466×	`log1p-udef`
360×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	277
1	431	261
2	4811	261

Stop Event

1×	node limit

Counts

10 → 222

Calls

Call 1

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

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

simplify640.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-r`
1124×	`fma-def`
810×	`*-commutative`
528×	`log-prod`
452×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	725	19646
1	2031	18389
2	7300	18389

Stop Event

1×	node limit

Counts

370 → 346

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.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))))
(log.f32 2)
(+.f32 (log.f32 2) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (log.f32 2) (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4)))))))
(+.f32 (log.f32 2) (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/720 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -240 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -32 (pow.f32 (PI.f32) 6)) (.f32 240 (pow.f32 (PI.f32) 6)))))) (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (*.f32 8 (pow.f32 (PI.f32) 4))))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(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))
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u1
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(.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(/.f32 (+.f32 (cos.f32 (+.f32 (.f32 (PI.f32) (.f32 u2 2)) (.f32 (PI.f32) (.f32 u2 2)))) (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 u2 2)) (.f32 (PI.f32) (.f32 u2 2))))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 4))
(log.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))
(exp.f32 (.f32 2 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (.f32 2 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))
(+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)
(-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) 3) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6) 3) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/6) 3))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 4))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6)) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (+.f32 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (+.f32 1 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1))))
(/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) 1) (+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2)
(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 3/2)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(fabs.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))) 1)
(pow.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)) 1)
(pow.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))) 3)
(pow.f32 (pow.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)) 3) 1/3)
(pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 u1)) 2)
(sqrt.f32 (.f32 (pow.f32 u1 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 4)))
(log.f32 (pow.f32 (exp.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))))
(cbrt.f32 (pow.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)) 3))
(cbrt.f32 (.f32 (pow.f32 u1 3) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) 3)))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) 3) (pow.f32 u1 3)))
(expm1.f32 (log1p.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))))
(exp.f32 (log.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))))
(exp.f32 (.f32 (log.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))) 1))
(log1p.f32 (expm1.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(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 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)
(-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1)
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))
(.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) 3) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6) 3) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1/6) 3))
(.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 4))) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6)) (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (+.f32 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (+.f32 1 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1))))
(/.f32 (-.f32 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) 1) (+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2)
(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 3/2)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(fabs.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))

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

eval518.0ms (4.1%)

Compiler: Compiled 18287 to 13636 computations (25.4% saved)

prune151.0ms (1.2%)

Pruning

39 alts after pruning (29 fresh and 10 done)

	Pruned	Kept	Total
New	601	8	609
Fresh	6	21	27
Picked	3	2	5
Done	0	8	8
Total	610	39	649

Accuracy

100.0%

Counts

649 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.2%	(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
	63.2%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
✓	64.1%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
	37.3%	(pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 1/4) 2)
	65.6%	(pow.f32 (pow.f32 u1 1/4) 2)
	75.3%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	82.8%	(+.f32 (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (*.f32 -1/3 u1) 1/2)))))))
	63.2%	(.f32 (pow.f32 (pow.f32 (+.f32 u1 (.f32 -1/2 (pow.f32 u1 2))) 3/2) 1/3) 1)
	64.6%	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	77.7%	(.f32 (pow.f32 u1 1/2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	65.6%	(.f32 (+.f32 (sqrt.f32 u1) (.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6))) 1)
	87.5%	(.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)))
	90.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	93.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2) 3/2))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (-.f32 (fma.f32 (.f32 (PI.f32) u2) 2 1) 1))) 3))
✓	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
✓	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	76.7%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	91.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (+.f32 (.f32 (PI.f32) (*.f32 u2 2)) 1) 1)))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	78.0%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	47.1%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	77.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	74.7%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.1%	(sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2))))
	64.2%	(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
	67.6%	(sqrt.f32 (+.f32 u1 (.f32 -4 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1))))
	74.9%	(sqrt.f32 (.f32 u1 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
✓	64.2%	(sqrt.f32 (log1p.f32 u1))
	37.3%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
✓	65.7%	(sqrt.f32 u1)
	63.7%	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
	64.2%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

Compiler

Compiled 1485 to 1066 computations (28.2% saved)

regimes286.0ms (2.2%)

Counts

69 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(pow.f32 (pow.f32 u1 1/4) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 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)
(pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 1/4) 2)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6))) 1)
(sqrt.f32 (.f32 u1 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
(.f32 (pow.f32 (pow.f32 (+.f32 u1 (.f32 -1/2 (pow.f32 u1 2))) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 4)))) 2)))
(sqrt.f32 (+.f32 u1 (.f32 -4 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1))))
(.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 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (*.f32 -1/3 u1) 1/2)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u1 2) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -4 1)))
(.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 u1 1/2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(.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)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (pow.f32 (log1p.f32 u1) 1/2) (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 (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 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2) 3/2))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (-.f32 (fma.f32 (.f32 (PI.f32) u2) 2 1) 1))) 3))
(.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 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (*.f32 -1/3 u1) 1/2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 3) u2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (fma.f32 u2 (.f32 (PI.f32) 2) (.f32 -2 (pow.f32 (.f32 u2 (PI.f32)) 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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 (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)))))

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

Calls

10 calls:

33.0ms	u1
33.0ms	(.f32 (.f32 2 (PI.f32)) u2)
32.0ms	u2
29.0ms	cosTheta_i
29.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
99.2%	1	`cosTheta_i`
99.2%	1	`u1`
99.2%	1	`u2`
99.2%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
99.2%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
99.2%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
99.2%	1	`(log.f32 (-.f32 1 u1))`
99.2%	1	`(-.f32 1 u1)`
99.2%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
99.2%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 983 to 628 computations (36.1% saved)

regimes157.0ms (1.2%)

Counts

28 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(pow.f32 (pow.f32 u1 1/4) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 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)
(pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 1/4) 2)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6))) 1)
(sqrt.f32 (.f32 u1 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
(.f32 (pow.f32 (pow.f32 (+.f32 u1 (.f32 -1/2 (pow.f32 u1 2))) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 1))))

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

Calls

9 calls:

27.0ms	(.f32 (.f32 2 (PI.f32)) u2)
27.0ms	u2
20.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
19.0ms	u1
14.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
90.1%	1	`cosTheta_i`
90.1%	1	`u1`
94.7%	2	`u2`
90.1%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
90.1%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
90.1%	1	`(log.f32 (-.f32 1 u1))`
90.1%	1	`(-.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 293 to 223 computations (23.9% saved)

regimes206.0ms (1.6%)

Counts

25 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(pow.f32 (pow.f32 u1 1/4) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(sqrt.f32 (-.f32 u1 (.f32 (pow.f32 u1 2) (-.f32 (.f32 -1/3 u1) 1/2))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 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)
(pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 1/4) 2)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 1 u1)) 3/2) 1/3) 1)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (+.f32 (sqrt.f32 u1) (.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6))) 1)
(sqrt.f32 (.f32 u1 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
(.f32 (pow.f32 (pow.f32 (+.f32 u1 (.f32 -1/2 (pow.f32 u1 2))) 3/2) 1/3) 1)

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

Calls

9 calls:

36.0ms	u1
25.0ms	u2
25.0ms	(.f32 (.f32 2 (PI.f32)) u2)
22.0ms	(log.f32 (-.f32 1 u1))
22.0ms	(-.f32 1 u1)

Results

Accuracy	Segments	Branch
85.3%	2	`(log.f32 (-.f32 1 u1))`
85.3%	2	`(-.f32 1 u1)`
78.0%	1	`cosTheta_i`
85.3%	2	`u1`
85.3%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
85.3%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
89.2%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
89.2%	2	`u2`
89.2%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 255 to 197 computations (22.7% saved)

regimes66.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

21.0ms	u2
10.0ms	u1
10.0ms	(-.f32 1 u1)
9.0ms	(log.f32 (-.f32 1 u1))
6.0ms	(neg.f32 (log.f32 (-.f32 1 u1)))

Results

Accuracy	Segments	Branch
78.0%	1	`u1`
78.0%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
78.0%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
78.0%	1	`(log.f32 (-.f32 1 u1))`
78.0%	1	`(-.f32 1 u1)`
78.0%	1	`u2`

Compiler

Compiled 166 to 128 computations (22.9% saved)

regimes16.0ms (0.1%)

Accuracy

Total -9.2b remaining (-83.5%)

Threshold costs -9.2b (-83.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(pow.f32 (pow.f32 u1 1/4) 2)

Outputs
(sqrt.f32 u1)

Calls

3 calls:

7.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
65.7%	1	`cosTheta_i`
65.7%	1	`u1`
65.7%	1	`u2`

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0008870291640050709	0.0009091466781683266

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.003482287982478738	0.003748347982764244

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
16×	`+-commutative`
14×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	262
1	66	262
2	81	262
3	97	262
4	103	262
5	107	262
6	108	262

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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) 7730941/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7730941/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 u1 -1/2))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7730941/8589934592) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (.f32 u1 (neg.f32 (+.f32 -1 (*.f32 u1 -1/2)))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7730941/8589934592) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) (sqrt.f32 (.f32 u1 (-.f32 (*.f32 u1 (neg.f32 -1/2)) -1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/2147483648) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 u1)

Compiler

Compiled 85 to 70 computations (17.6% saved)

soundness1.1s (8.8%)

Rules

2706×	`fma-def`
1690×	`fma-def`
1170×	`unsub-neg`
1150×	`prod-diff`
1150×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	559
1	106	521
2	198	521
3	345	521
4	580	521
5	988	521
6	1217	521
7	1648	521
8	2420	521
9	2927	521
10	3681	521
11	5135	521
12	6037	521
13	6226	521
14	6238	521
15	6716	521
16	7855	521
0	24	204
1	346	168
2	3237	168
0	413	13789
1	1040	12228
2	4585	11466
0	971	23398
1	2670	21778
0	24	204
1	346	168
2	3237	168
0	413	13789
1	1040	12228
2	4585	11466

Stop Event

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

Compiler

Compiled 375 to 294 computations (21.6% saved)

end0.0ms (0%)

preprocess55.0ms (0.4%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 418 to 322 computations (23% saved)

analyze197.0ms (1.5%)

sample3.2s (24.8%)

preprocess365.0ms (2.9%)

eval1.0ms (0%)

prune3.0ms (0%)

localize283.0ms (2.2%)

series319.0ms (2.5%)

rewrite145.0ms (1.1%)

simplify144.0ms (1.1%)

eval157.0ms (1.2%)

prune152.0ms (1.2%)

localize573.0ms (4.5%)

series101.0ms (0.8%)

rewrite232.0ms (1.8%)

simplify195.0ms (1.5%)

eval399.0ms (3.1%)

prune195.0ms (1.5%)

localize615.0ms (4.8%)

series37.0ms (0.3%)

rewrite152.0ms (1.2%)

simplify204.0ms (1.6%)

eval610.0ms (4.8%)

prune274.0ms (2.1%)

localize498.0ms (3.9%)

series50.0ms (0.4%)

rewrite480.0ms (3.8%)

simplify640.0ms (5%)

eval518.0ms (4.1%)

prune151.0ms (1.2%)

regimes286.0ms (2.2%)

regimes157.0ms (1.2%)

regimes206.0ms (1.6%)

regimes66.0ms (0.5%)

regimes16.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (8.8%)

end0.0ms (0%)

preprocess55.0ms (0.4%)

Profiling