Metrics for Beckmann Sample, near normal, slope

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample4.4s (21.1%)

Results

4.4s	8256×	body	256	valid
2.0ms	5×	body	256	precondition

Bogosity

preprocess195.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2542×	`fma-def`
1196×	`unsub-neg`
1070×	`distribute-neg-in`
1068×	`fma-neg`
856×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	348
1	84	324
2	157	324
3	287	324
4	492	324
5	861	324
6	1075	324
7	1487	324
8	2198	324
9	2718	324
10	3511	324
11	4937	324
12	5972	324
13	6194	324
14	6203	324
15	6654	324
16	7779	324

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

Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 16 to 14 computations (12.5% saved)

eval1.0ms (0%)

Compiler: Compiled 28 to 22 computations (21.4% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	57.8%	(.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)

localize494.0ms (2.4%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	98.9%	(*.f32 (PI.f32) u2)
✓	99.6%	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	98.9%	(.f32 (.f32 2 (PI.f32)) u2)
✓	55.9%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 98 to 55 computations (43.9% saved)

series60.0ms (0.3%)

Counts

8 → 104

Calls

30 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
11.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite197.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`log-prod`
724×	`pow-exp`
598×	`expm1-udef`
598×	`log1p-udef`
512×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	168
1	512	132
2	4823	132

Stop Event

1×	node limit

Counts

8 → 287

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

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

simplify266.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1322×	`log-prod`
1168×	`associate-r`
1102×	`associate-l`
742×	`fma-def`
568×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	688	15707
1	1647	13745
2	7110	13741

Stop Event

1×	node limit

Counts

391 → 401

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

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

eval210.0ms (1%)

Compiler: Compiled 9853 to 6403 computations (35% saved)

prune158.0ms (0.8%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	376	25	401
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	376	27	403

Accuracy

99.8%

Counts

403 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	73.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	84.5%	(.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)))
	76.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
▶	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (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))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
▶	79.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (fma.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2) (*.f32 (PI.f32) u2))))
✓	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.4%	(.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	73.9%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	73.4%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	73.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	84.5%	(.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)))
	76.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
▶	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (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))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
▶	79.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (fma.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2) (*.f32 (PI.f32) u2))))
✓	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.4%	(.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	73.9%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))

Compiler

Compiled 2010 to 1662 computations (17.3% saved)

localize1.2s (5.5%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
✓	98.9%	(*.f32 u2 (PI.f32))
✓	97.3%	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	99.6%	(log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
	98.9%	(*.f32 (PI.f32) u2)
✓	97.9%	(expm1.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	99.5%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.5%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
✓	99.1%	(pow.f32 (log1p.f32 u1) 3/2)
	98.9%	(.f32 (.f32 2 (PI.f32)) u2)
✓	100.0%	(log1p.f32 (neg.f32 u1))
✓	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	98.9%	(*.f32 (PI.f32) u2)
✓	98.5%	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
✓	8.9%	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))

Compiler

Compiled 329 to 126 computations (61.7% saved)

series150.0ms (0.7%)

Counts

15 → 180

Calls

57 calls:

Time	Variable		Point	Expression
65.0ms	u2	@	inf	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
30.0ms	u2	@	-inf	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
16.0ms	u2	@	inf	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
7.0ms	u1	@	0	(pow.f32 (log1p.f32 u1) 3/2)
3.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))

rewrite147.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`add-sqr-sqrt`
704×	`pow1`
694×	`*-un-lft-identity`
668×	`log1p-expm1-u`
666×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	631
1	836	313

Stop Event

1×	node limit

Counts

15 → 420

Calls

Call 1

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

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

simplify526.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

904×	`distribute-lft-in`
806×	`distribute-rgt-in`
664×	`times-frac`
662×	`*-commutative`
566×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1142	24842
1	3455	24842

Stop Event

1×	node limit

Counts

600 → 405

Calls

Call 1

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

Outputs
(.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 u2 4) (+.f32 (.f32 -1/3 (pow.f32 (PI.f32) 4)) (*.f32 1/3 (pow.f32 (PI.f32) 4)))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -1/3 (pow.f32 (PI.f32) 4)) (.f32 1/3 (pow.f32 (PI.f32) 4)))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -1/3 (pow.f32 (PI.f32) 4)) (.f32 1/3 (pow.f32 (PI.f32) 4)))) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -1/60 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))))) (.f32 (pow.f32 u2 8) (+.f32 (.f32 -1/360 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (+.f32 (.f32 1/2520 (pow.f32 (PI.f32) 8)) (*.f32 1/360 (pow.f32 (PI.f32) 8)))))))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (.f32 (pow.f32 u2 8) (+.f32 (.f32 -1/360 (pow.f32 (PI.f32) 8)) (*.f32 -1/2520 (pow.f32 (PI.f32) 8)))))))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (.f32 (pow.f32 u2 8) (*.f32 (pow.f32 (PI.f32) 8) -1/315)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (sqrt.f32 -1) (+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
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(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))) 1)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(/.f32 (+.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3) (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) 3)) (+.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)) (-.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(/.f32 (+.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3) (pow.f32 (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))) 3)) (+.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)) (-.f32 (.f32 (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1)))) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1)))))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(/.f32 (-.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))) (-.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(/.f32 (-.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)) (.f32 (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))) (-.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3) 1/3)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 1 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 (cbrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))) (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fma.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (.f32 (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (log1p.f32 u1) 1/2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1/3))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 u2 u2) (*.f32 0 (pow.f32 (PI.f32) 2)))

eval1.1s (5.3%)

Compiler: Compiled 30430 to 17169 computations (43.6% saved)

prune636.0ms (3%)

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	947	27	974
Fresh	9	11	20
Picked	1	4	5
Done	0	2	2
Total	957	44	1001

Accuracy

99.9%

Counts

1001 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.9%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	61.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	62.0%	(*.f32 (pow.f32 (log1p.f32 u1) 1/2) 1)
	61.7%	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	85.8%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (.f32 -1/2 (.f32 u1 u1))))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	70.7%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (.f32 -1/2 (*.f32 u1 u1))))) 1)
	90.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	84.5%	(.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)))
	74.2%	(.f32 (sqrt.f32 (neg.f32 (+.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))))))) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
	72.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) 1)
	76.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	63.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)) 2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	85.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (sqrt.f32 (exp.f32 1))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
	95.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (log.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))))
✓	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	77.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 1)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	79.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	61.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	72.4%	(.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	73.9%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	61.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
	34.9%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	60.9%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	61.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	62.0%	(*.f32 (pow.f32 (log1p.f32 u1) 1/2) 1)
	61.7%	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	85.8%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (.f32 -1/2 (.f32 u1 u1))))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	70.7%	(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1 u1 (.f32 -1/2 (*.f32 u1 u1))))) 1)
	90.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	84.5%	(.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)))
	74.2%	(.f32 (sqrt.f32 (neg.f32 (+.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))))))) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
	72.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) 1)
	76.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	63.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 1))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)) 2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	85.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (sqrt.f32 (exp.f32 1))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
	95.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (log.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))))
✓	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	77.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 1)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
✓	79.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	61.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	72.4%	(.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	73.9%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	61.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
	34.9%	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 3138 to 2640 computations (15.9% saved)

localize1.2s (5.9%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.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)))
✓	99.6%	(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
✓	99.1%	(log1p.f32 (fma.f32 u1 u1 u1))
	98.9%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.6%	(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
✓	99.3%	(expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
✓	98.9%	(.f32 u2 (.f32 (PI.f32) 2))
✓	99.7%	(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1)))
✓	99.7%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.9%	(.f32 (.f32 2 (PI.f32)) u2)
	98.9%	(*.f32 (PI.f32) u2)
✓	98.5%	(pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)) 2)
✓	98.3%	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
✓	8.9%	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)) 2))

Compiler

Compiled 380 to 175 computations (53.9% saved)

series137.0ms (0.7%)

Counts

13 → 141

Calls

48 calls:

Time	Variable		Point	Expression
66.0ms	u2	@	inf	(.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)))
26.0ms	u2	@	-inf	(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
17.0ms	u2	@	inf	(log1p.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
6.0ms	u1	@	-inf	(.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)))
3.0ms	u2	@	-inf	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)) 2))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`add-sqr-sqrt`
802×	`pow1`
788×	`*-un-lft-identity`
760×	`log1p-expm1-u`
758×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	381
1	945	381

Stop Event

1×	node limit

Counts

13 → 199

Calls

Call 1

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

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

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1262×	`associate-l`
1198×	`associate-r`
962×	`fma-def`
396×	`sqr-pow`
360×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	16042
1	1990	14304

Stop Event

1×	node limit

Counts

340 → 441

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))))
(+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))))
(.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))))
(sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
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 u1 (sqrt.f32 1/2))
(+.f32 (.f32 u1 (sqrt.f32 1/2)) (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))
(-.f32 (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 u1 (sqrt.f32 1/2)))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))
(.f32 -1 (.f32 u1 (sqrt.f32 1/2)))
(-.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))) (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (*.f32 1/2 (/.f32 1 (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 -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))))
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(*.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)
(log.f32 (+.f32 1 (fma.f32 u1 u1 u1)))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 1))
(+.f32 (log1p.f32 (pow.f32 u1 3)) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1))))
(+.f32 (fma.f32 1 (log1p.f32 (pow.f32 u1 3)) (neg.f32 (.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1))) (fma.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 1 (.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)))
(+.f32 (fma.f32 1 (log1p.f32 (pow.f32 u1 3)) (neg.f32 (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2) (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 u1 3))) 2) (cbrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1))) (fma.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 1 (.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 u1 3))) 2) (cbrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2) (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2))))
(+.f32 (fma.f32 (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1))) (fma.f32 (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 1 (.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)))
(+.f32 (fma.f32 (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2) (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2))))
(*.f32 1 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) 2) (cbrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2)) (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))
(pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 1)
(pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) 3)
(pow.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) 2)
(log.f32 (exp.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(log.f32 (/.f32 (+.f32 1 (pow.f32 u1 3)) (+.f32 1 (fma.f32 u1 u1 u1))))
(cbrt.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3))
(expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(exp.f32 (log.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) 1))
(log1p.f32 (expm1.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(fma.f32 1 (log1p.f32 (pow.f32 u1 3)) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 u1 3))) 2) (cbrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(fma.f32 (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) 1)
(pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))) 1)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))) 3)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))) 2)
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))) 3))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))) 1))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))))

Outputs
(.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(neg.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(neg.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))
(.f32 u1 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (sqrt.f32 1/2)))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(fma.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 u1 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2))))
(fma.f32 u1 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))))
(fma.f32 -1/8 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) (fma.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 u1 (.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 1/2)))))
(fma.f32 -1/8 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (.f32 1/2 (sqrt.f32 1/2)))) (fma.f32 u1 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)))))
(+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))))
(fma.f32 -1/8 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) (fma.f32 1/16 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 1/2) 5))) (fma.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 u1 (.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 1/2))))))
(fma.f32 -1/8 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (.f32 1/2 (sqrt.f32 1/2)))) (fma.f32 1/16 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 1/2) 5))) (fma.f32 u1 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2))))))
(.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(.f32 (neg.f32 u1) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(fma.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 (/.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 1/2)) -1/2))
(-.f32 (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) -1/2) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (*.f32 u1 (sqrt.f32 1/2))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))))
(fma.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) 1/8)))
(-.f32 (fma.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) -1/2 (.f32 (/.f32 1/8 u1) (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 1/2 (sqrt.f32 1/2))))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (sqrt.f32 1/2))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))))
(fma.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) (fma.f32 -1/16 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 1/2) 5))) (.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))) 1/8))))
(-.f32 (fma.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 1/2)) -1/2 (fma.f32 (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 1/2) 5))) -1/16 (.f32 (/.f32 1/8 u1) (/.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 1/2 (sqrt.f32 1/2)))))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 u1 (sqrt.f32 1/2))))
(sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(sqrt.f32 (fma.f32 1/2 (*.f32 u1 u1) u1))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))))
(.f32 (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -2 1) (sqrt.f32 (fma.f32 1/2 (*.f32 u1 u1) u1)))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))))))
(+.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))))) (.f32 2/3 (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)) (.f32 (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)) (fma.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) -2 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3)))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))))
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(-.f32 (log1p.f32 (pow.f32 u1 3)) (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 0)))
(+.f32 (fma.f32 (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2) (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 0)))
(*.f32 1 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) 2) (cbrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2)) (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))
(pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 1)
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) 3)
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(pow.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3) 1/3)
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) 2)
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (exp.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(log.f32 (/.f32 (+.f32 1 (pow.f32 u1 3)) (+.f32 1 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(cbrt.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(exp.f32 (log.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) 1))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(log1p.f32 (expm1.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(fma.f32 1 (log1p.f32 (pow.f32 u1 3)) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (pow.f32 u1 3))) 2) (cbrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (sqrt.f32 (log1p.f32 (pow.f32 u1 3))) (neg.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) 1)
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))) 1)
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))) 3)
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))) 3) 1/3)
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))) 2)
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))) 3))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))) 1))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (neg.f32 (log1p.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))

eval987.0ms (4.7%)

Compiler: Compiled 23127 to 13682 computations (40.8% saved)

prune730.0ms (3.5%)

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	757	23	780
Fresh	8	25	33
Picked	2	3	5
Done	2	4	6
Total	769	55	824

Accuracy

99.9%

Counts

824 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3) 1/3)
	91.6%	(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 2)
	85.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
▶	97.4%	(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3)
	80.4%	(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) 1)
	77.8%	(+.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))))
	83.8%	(.f32 (pow.f32 (pow.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	60.9%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	61.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	86.5%	(.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.0%	(*.f32 (pow.f32 (log1p.f32 u1) 1/2) 1)
	61.7%	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	90.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3))
	87.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (-.f32 (+.f32 1 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (-.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 1)))
▶	77.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2)))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	74.2%	(.f32 (sqrt.f32 (neg.f32 (+.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))))))) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
	72.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) 1)
	76.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	63.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)) 2))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	77.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 1)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	79.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	84.7%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	61.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	72.4%	(.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	87.2%	(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 1/2 (*.f32 u1 u1)))))
	87.1%	(.f32 (cbrt.f32 (pow.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) -1/2) u1)) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	61.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	68.7%	(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))
▶	70.7%	(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
	34.9%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	80.4%	(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
▶	79.2%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	90.2%	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	78.2%	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3) 1/3)
	91.6%	(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 2)
	85.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
▶	97.4%	(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3)
	80.4%	(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) 1)
	77.8%	(+.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))))
	83.8%	(.f32 (pow.f32 (pow.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	60.9%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	61.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	86.5%	(.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.0%	(*.f32 (pow.f32 (log1p.f32 u1) 1/2) 1)
	61.7%	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	90.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3))
	87.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (-.f32 (+.f32 1 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (-.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 1)))
▶	77.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2)))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	74.2%	(.f32 (sqrt.f32 (neg.f32 (+.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))))))) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
	72.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) 1)
	76.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	63.5%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)) 2))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	77.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 1)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	79.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	84.7%	(.f32 (exp.f32 (.f32 (log.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) 1/2)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	61.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	72.4%	(.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	87.2%	(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 1/2 (*.f32 u1 u1)))))
	87.1%	(.f32 (cbrt.f32 (pow.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) -1/2) u1)) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	61.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	68.7%	(sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))
▶	70.7%	(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
	34.9%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	80.4%	(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
▶	79.2%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	90.2%	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))

Compiler

Compiled 3938 to 3270 computations (17% saved)

localize2.8s (13.2%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	99.0%	(.f32 u2 (.f32 (PI.f32) 2))
✓	97.9%	(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3)
✓	93.8%	(PI.f32)
✓	99.4%	(log.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
	99.0%	(.f32 u2 (.f32 (PI.f32) 2))
✓	97.0%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
✓	93.8%	(PI.f32)
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2)))
✓	98.8%	(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
✓	97.1%	(pow.f32 (PI.f32) 2)
✓	93.8%	(PI.f32)
✓	100.0%	(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
✓	99.8%	(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
✓	98.5%	(pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)) 2)
✓	98.0%	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
✓	93.8%	(PI.f32)
✓	15.1%	(fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)) 2))

Compiler

Compiled 442 to 212 computations (52% saved)

series274.0ms (1.3%)

Counts

16 → 146

Calls

48 calls:

Time	Variable		Point	Expression
88.0ms	u2	@	-inf	(log.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
58.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3)
33.0ms	u2	@	0	(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3)
30.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3)
18.0ms	u2	@	inf	(log.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))

rewrite166.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`add-sqr-sqrt`
922×	`pow1`
910×	`*-un-lft-identity`
868×	`add-exp-log`
868×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	424
1	1129	424

Stop Event

1×	node limit

Counts

16 → 152

Calls

Call 1

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

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

simplify504.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1750×	`fma-def`
634×	`*-commutative`
602×	`associate-+r+`
592×	`+-commutative`
528×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	906	25228
1	2853	20868

Stop Event

1×	node limit

Counts

298 → 414

Calls

Call 1

Inputs
(.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (*.f32 -1/60 (pow.f32 (PI.f32) 6))))))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (.f32 -1/60 (pow.f32 (PI.f32) 6)))) (.f32 (pow.f32 u2 8) (+.f32 (.f32 1/2520 (pow.f32 (PI.f32) 8)) (.f32 1/360 (pow.f32 (PI.f32) 8)))))))
(.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(*.f32 u1 (sqrt.f32 1/2))
(+.f32 (.f32 u1 (sqrt.f32 1/2)) (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))
(-.f32 (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 u1 (sqrt.f32 1/2)))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))
(.f32 -1 (.f32 u1 (sqrt.f32 1/2)))
(-.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))) (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2)))))
u1
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(*.f32 1/2 (pow.f32 u1 2))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(*.f32 1/2 (pow.f32 u1 2))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))))
(+.f32 (.f32 -1/8 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))))
(+.f32 (.f32 -1/8 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/16 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))))))
(.f32 -1 (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))) (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 1/2))) (.f32 1/8 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/16 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (.f32 1/8 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))))
(sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))
(+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))))
(+.f32 (.f32 -1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (+.f32 (.f32 1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))))
(.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))))
(+.f32 (.f32 -1 (.f32 u1 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (+.f32 (.f32 -1/16 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (.f32 1/8 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))))
(sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))))))
(+.f32 (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))) (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))))))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 1/2))) (.f32 -1 (log.f32 (/.f32 1 u1))))
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(.f32 (.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(.f32 (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))))
(pow.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1)
(cbrt.f32 (.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(expm1.f32 (log1p.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(exp.f32 (log.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(log1p.f32 (expm1.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(*.f32 1 (PI.f32))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) 1)
(log.f32 (exp.f32 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) (PI.f32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(.f32 1 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(.f32 (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3/2) (pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3/2))
(log.f32 (exp.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(cbrt.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 1 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (.f32 (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))) (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (sqrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) 1/3)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 1)
(log.f32 (exp.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(exp.f32 (log.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))

Outputs
(.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(neg.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(neg.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(fma.f32 -1 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(-.f32 (.f32 (.f32 1/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (*.f32 -1/60 (pow.f32 (PI.f32) 6))))))
(fma.f32 -1 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) -2/45))))
(-.f32 (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -2/45) (.f32 (.f32 1/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4))) (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 6))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 -1/36 (pow.f32 (PI.f32) 6)) (.f32 -1/60 (pow.f32 (PI.f32) 6)))) (.f32 (pow.f32 u2 8) (+.f32 (.f32 1/2520 (pow.f32 (PI.f32) 8)) (.f32 1/360 (pow.f32 (PI.f32) 8)))))))
(fma.f32 -1 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -2/45) (.f32 (pow.f32 u2 8) (.f32 (pow.f32 (PI.f32) 8) 1/315)))))
(-.f32 (fma.f32 1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -2/45) (.f32 (pow.f32 u2 8) (.f32 (pow.f32 (PI.f32) 8) 1/315)))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6))
(.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(.f32 -1 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 u1 (sqrt.f32 1/2))
(+.f32 (.f32 u1 (sqrt.f32 1/2)) (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(fma.f32 u1 (sqrt.f32 1/2) (/.f32 1/2 (sqrt.f32 1/2)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))
(-.f32 (fma.f32 u1 (sqrt.f32 1/2) (/.f32 1/2 (sqrt.f32 1/2))) (/.f32 1/8 (*.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))
(+.f32 (/.f32 1/2 (sqrt.f32 1/2)) (fma.f32 u1 (sqrt.f32 1/2) (*.f32 (/.f32 (/.f32 2 u1) (sqrt.f32 1/2)) -1/8)))
(-.f32 (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 u1 (sqrt.f32 1/2)))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))
(+.f32 (/.f32 1/16 (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 1/2) 5))) (-.f32 (fma.f32 u1 (sqrt.f32 1/2) (/.f32 1/2 (sqrt.f32 1/2))) (/.f32 1/8 (*.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))))
(+.f32 (fma.f32 u1 (sqrt.f32 1/2) (/.f32 1/2 (sqrt.f32 1/2))) (+.f32 (/.f32 1/16 (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 1/2) 5))) (*.f32 (/.f32 (/.f32 2 u1) (sqrt.f32 1/2)) -1/8)))
(.f32 -1 (.f32 u1 (sqrt.f32 1/2)))
(*.f32 (neg.f32 u1) (sqrt.f32 1/2))
(*.f32 u1 (neg.f32 (sqrt.f32 1/2)))
(-.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (*.f32 (neg.f32 u1) (sqrt.f32 1/2)) (/.f32 1/2 (sqrt.f32 1/2)))
(fma.f32 (neg.f32 u1) (sqrt.f32 1/2) (/.f32 -1/2 (sqrt.f32 1/2)))
(-.f32 (+.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (fma.f32 -1 (.f32 u1 (sqrt.f32 1/2)) (/.f32 1/8 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (/.f32 1/2 (sqrt.f32 1/2)))
(fma.f32 (neg.f32 u1) (sqrt.f32 1/2) (fma.f32 1/8 (/.f32 (/.f32 2 u1) (sqrt.f32 1/2)) (/.f32 -1/2 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 -1 (.f32 u1 (sqrt.f32 1/2))) (.f32 1/8 (/.f32 1 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3))))) (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 u1 2) (pow.f32 (sqrt.f32 1/2) 5)))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2)))))
(-.f32 (fma.f32 -1 (.f32 u1 (sqrt.f32 1/2)) (/.f32 1/8 (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (/.f32 1/2 (sqrt.f32 1/2)) (/.f32 1/16 (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 1/2) 5)))))
(-.f32 (fma.f32 (neg.f32 u1) (sqrt.f32 1/2) (fma.f32 1/8 (/.f32 (/.f32 2 u1) (sqrt.f32 1/2)) (/.f32 -1/2 (sqrt.f32 1/2)))) (/.f32 1/16 (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 1/2) 5))))
u1
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 1/2 (pow.f32 u1 2))
(.f32 1/2 (.f32 u1 u1))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 1/2 (pow.f32 u1 2))
(.f32 1/2 (.f32 u1 u1))
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(+.f32 u1 (*.f32 1/2 (pow.f32 u1 2)))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6)
(.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 u2 (.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) -2))))))
(.f32 (.f32 u1 (sqrt.f32 1/2)) (fma.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6) -2 1))
(+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))))
(fma.f32 1/2 (/.f32 (+.f32 1 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) -2)))) (sqrt.f32 1/2)) (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) -2)))))))
(fma.f32 u1 (.f32 (sqrt.f32 1/2) (fma.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 6) -2 1)) (/.f32 1/2 (/.f32 (sqrt.f32 1/2) (fma.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 6) -2 1))))
(+.f32 (.f32 -1/8 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (.f32 u1 (pow.f32 (sqrt.f32 1/2) 3)))) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))) (sqrt.f32 1/2))) (.f32 u1 (.f32 (sqrt.f32 1/2) (+.f32 1 (.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))))
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(.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 6) -2 1) (sqrt.f32 (-.f32 (.f32 1/2 (.f32 u1 u1)) (neg.f32 u1))))
(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2)))) (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2))))) (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -2))))))
(cbrt.f32 (.f32 (.f32 (+.f32 1 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) -2)))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))) (.f32 (.f32 (+.f32 1 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) -2)))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))) (.f32 (+.f32 1 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) -2)))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))))))))
(cbrt.f32 (pow.f32 (.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 6) -2 1) (sqrt.f32 (-.f32 (.f32 1/2 (.f32 u1 u1)) (neg.f32 u1)))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -2))))))
(.f32 (+.f32 1 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) -2)))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1)))))
(.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 6) -2 1) (sqrt.f32 (-.f32 (.f32 1/2 (.f32 u1 u1)) (neg.f32 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -2))))))
(.f32 (+.f32 1 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) -2)))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1)))))
(.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 6) -2 1) (sqrt.f32 (-.f32 (.f32 1/2 (.f32 u1 u1)) (neg.f32 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -2))))))
(.f32 (+.f32 1 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) -2)))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1)))))
(.f32 (fma.f32 (pow.f32 (cbrt.f32 (.f32 u2 (PI.f32))) 6) -2 1) (sqrt.f32 (-.f32 (.f32 1/2 (.f32 u1 u1)) (neg.f32 u1))))
(*.f32 1 (PI.f32))
(PI.f32)
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(pow.f32 (PI.f32) 1)
(PI.f32)
(log.f32 (exp.f32 (PI.f32)))
(PI.f32)
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) (PI.f32)))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(.f32 1 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(.f32 (sqrt.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (sqrt.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(pow.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 1)
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(log.f32 (exp.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(cbrt.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))) (.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))) (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))
(+.f32 (log.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))) (log.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(.f32 1 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(.f32 (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(pow.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1)
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(cbrt.f32 (.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(cbrt.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))) (.f32 (log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))) (log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))))))))
(cbrt.f32 (pow.f32 (log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1))))) 3))
(expm1.f32 (log1p.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(exp.f32 (log.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(log1p.f32 (expm1.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1)))) (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (fma.f32 -1/2 (.f32 u1 u1) (neg.f32 u1))))))
(log.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (-.f32 (.f32 1/2 (*.f32 u1 u1)) (neg.f32 u1)))))
(*.f32 1 (PI.f32))
(PI.f32)
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(pow.f32 (PI.f32) 1)
(PI.f32)
(log.f32 (exp.f32 (PI.f32)))
(PI.f32)
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 2) (PI.f32)))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(.f32 1 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3/2) (pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3/2))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(log.f32 (exp.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(cbrt.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(cbrt.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (pow.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32))) 2) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) 3))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 1 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (.f32 (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))) (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32)))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (sqrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(pow.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) 1/3)
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 1)
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(log.f32 (exp.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(exp.f32 (log.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(cbrt.f32 (.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))

eval904.0ms (4.3%)

Compiler: Compiled 24484 to 17469 computations (28.7% saved)

prune175.0ms (0.8%)

Pruning

63 alts after pruning (54 fresh and 9 done)

	Pruned	Kept	Total
New	515	15	530
Fresh	4	39	43
Picked	1	4	5
Done	2	5	7
Total	522	63	585

Accuracy

99.9%

Counts

585 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3) 1/3)
	91.6%	(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 2)
	85.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
✓	97.4%	(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) 3)
	4.4%	(-.f32 (*.f32 (neg.f32 u1) (sqrt.f32 1/2)) (/.f32 1/2 (sqrt.f32 1/2)))
	80.4%	(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) 1)
	77.8%	(+.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 -2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))))
	83.8%	(.f32 (pow.f32 (pow.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)) 3/2) 1/3) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	60.9%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	61.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	86.5%	(.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.0%	(*.f32 (pow.f32 (log1p.f32 u1) 1/2) 1)
	61.7%	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	87.2%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))))
	70.1%	(.f32 (sqrt.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))) (sqrt.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (*.f32 u1 u1))))))
	90.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 (.f32 -1/2 u1) u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	86.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3))
	87.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (-.f32 (+.f32 1 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (-.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 1)))
✓	77.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) -2)))
	86.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	87.2%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	74.2%	(.f32 (sqrt.f32 (neg.f32 (+.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))))))) 1)
	89.2%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
	72.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (.f32 -1/3 (pow.f32 u1 3)))))) 1)
	76.0%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 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)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)) 2))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) 2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	77.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 1)))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (-.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))))
	97.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	79.1%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	57.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.0%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.8%	(*.f32 (neg.f32 u1) (sqrt.f32 1/2))
	61.1%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	72.4%	(.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	87.1%	(.f32 (cbrt.f32 (pow.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) -1/2) u1)) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	61.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	18.6%	(*.f32 u1 (sqrt.f32 1/2))
	70.7%	(sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 u1 (.f32 (*.f32 u1 u1) -1/2))))
	70.5%	(sqrt.f32 (/.f32 (+.f32 (pow.f32 u1 3) (pow.f32 (.f32 1/2 (.f32 u1 u1)) 3)) (+.f32 (.f32 u1 u1) (-.f32 (.f32 (.f32 1/2 (.f32 u1 u1)) (.f32 1/2 (.f32 u1 u1))) (.f32 u1 (.f32 1/2 (*.f32 u1 u1)))))))
✓	70.7%	(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
	34.9%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	39.2%	(sqrt.f32 (log.f32 (exp.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))
	63.5%	(sqrt.f32 u1)
	80.5%	(log.f32 (exp.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	58.9%	(log.f32 (exp.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))
	79.2%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))))))
	90.2%	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	69.2%	(exp.f32 (log.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))
	70.6%	(cbrt.f32 (pow.f32 (fma.f32 1/2 (*.f32 u1 u1) u1) 3/2))
	70.7%	(cbrt.f32 (.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))) (sqrt.f32 (+.f32 u1 (.f32 1/2 (*.f32 u1 u1))))))

Compiler

Compiled 2652 to 1827 computations (31.1% saved)

regimes386.0ms (1.8%)

Counts

92 → 1

Calls

Call 1

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

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))

Calls

10 calls:

43.0ms	(.f32 (.f32 2 (PI.f32)) u2)
42.0ms	u1
42.0ms	u2
41.0ms	cosTheta_i
40.0ms	(-.f32 1 u1)

Results

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

Compiler

Compiled 1558 to 947 computations (39.2% saved)

regimes443.0ms (2.1%)

Counts

86 → 1

Calls

Call 1

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

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

Calls

10 calls:

76.0ms	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
73.0ms	(.f32 (.f32 2 (PI.f32)) u2)
40.0ms	u2
40.0ms	u1
37.0ms	cosTheta_i

Results

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

Compiler

Compiled 1374 to 864 computations (37.1% saved)

regimes273.0ms (1.3%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

10 calls:

31.0ms	u1
30.0ms	u2
29.0ms	(.f32 (.f32 2 (PI.f32)) u2)
29.0ms	cosTheta_i
29.0ms	(-.f32 1 u1)

Results

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

Compiler

Compiled 951 to 623 computations (34.5% saved)

regimes171.0ms (0.8%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

5 calls:

57.0ms	u2
40.0ms	(.f32 (.f32 2 (PI.f32)) u2)
30.0ms	u1
21.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
15.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
87.2%	1	`cosTheta_i`
93.9%	2	`u1`
95.0%	2	`u2`
95.0%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
95.0%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 397 to 264 computations (33.5% saved)

regimes87.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	u2
22.0ms	u1
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
16.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Accuracy	Segments	Branch
87.1%	2	`u1`
90.9%	2	`u2`
90.9%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
90.9%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 213 to 141 computations (33.8% saved)

regimes37.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	u2
11.0ms	cosTheta_i
10.0ms	u1

Results

Accuracy	Segments	Branch
79.1%	1	`u1`
79.1%	1	`cosTheta_i`
79.1%	1	`u2`

Compiler

Compiled 189 to 123 computations (34.9% saved)

regimes20.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))

Calls

3 calls:

6.0ms	cosTheta_i
6.0ms	u1
6.0ms	u2

Results

Accuracy	Segments	Branch
70.7%	1	`u1`
70.7%	1	`u2`
70.7%	1	`cosTheta_i`

Compiler

Compiled 73 to 47 computations (35.6% saved)

regimes13.0ms (0.1%)

Accuracy

Total -19.2b remaining (-164.4%)

Threshold costs -19.2b (-164.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 u1 (sqrt.f32 1/2))
(*.f32 (neg.f32 u1) (sqrt.f32 1/2))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)

Outputs
(sqrt.f32 u1)

Calls

3 calls:

4.0ms	u2
4.0ms	u1
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
63.5%	1	`cosTheta_i`
63.5%	1	`u1`
63.5%	1	`u2`

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001991534372791648	0.0020591903012245893

Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999583959579468	0.9999611377716064

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

86×	`unsub-neg`
68×	`neg-mul-1`
56×	`distribute-lft-neg-in`
42×	`*-commutative`
42×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	396
1	79	396
2	98	396
3	124	396
4	156	396
5	203	396
6	261	396
7	304	396
8	329	396
9	333	396
10	341	396

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 8589935/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16776545/16777216) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) u2))) (sin.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 8589935/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 8589935/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16776545/16777216) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 16776545/16777216) (.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(sqrt.f32 u1)

Compiler

Compiled 145 to 111 computations (23.4% saved)

soundness1.4s (6.9%)

Rules

2542×	`fma-def`
1674×	`log-prod`
1674×	`log-prod`
1322×	`log-prod`
1322×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	348
1	84	324
2	157	324
3	287	324
4	492	324
5	861	324
6	1075	324
7	1487	324
8	2198	324
9	2718	324
10	3511	324
11	4937	324
12	5972	324
13	6194	324
14	6203	324
15	6654	324
16	7779	324
0	25	168
1	512	132
2	4823	132
0	688	15707
1	1647	13745
2	7110	13741
0	736	16042
1	1990	14304
0	688	15707
1	1647	13745
2	7110	13741
0	736	16042
1	1990	14304
0	25	168
1	512	132
2	4823	132

Stop Event

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

Compiler

Compiled 704 to 402 computations (42.9% saved)

end0.0ms (0%)

preprocess97.0ms (0.5%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 408 to 228 computations (44.1% saved)

Iter	Nodes	Cost
0	52	396
1	79	396
2	98	396
3	124	396
4	156	396
5	203	396
6	261	396
7	304	396
8	329	396
9	333	396
10	341	396

Iter	Nodes	Cost
0	52	396
1	79	396
2	98	396
3	124	396
4	156	396
5	203	396
6	261	396
7	304	396
8	329	396
9	333	396
10	341	396

analyze1.0ms (0%)

sample4.4s (21.1%)

preprocess195.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize494.0ms (2.4%)

series60.0ms (0.3%)

rewrite197.0ms (0.9%)

simplify266.0ms (1.3%)

eval210.0ms (1%)

prune158.0ms (0.8%)

localize1.2s (5.5%)

series150.0ms (0.7%)

rewrite147.0ms (0.7%)

simplify526.0ms (2.5%)

eval1.1s (5.3%)

prune636.0ms (3%)

localize1.2s (5.9%)

series137.0ms (0.7%)

rewrite96.0ms (0.5%)

simplify205.0ms (1%)

eval987.0ms (4.7%)

prune730.0ms (3.5%)

localize2.8s (13.2%)

series274.0ms (1.3%)

rewrite166.0ms (0.8%)

simplify504.0ms (2.4%)

eval904.0ms (4.3%)

prune175.0ms (0.8%)

regimes386.0ms (1.8%)

regimes443.0ms (2.1%)

regimes273.0ms (1.3%)

regimes171.0ms (0.8%)

regimes87.0ms (0.4%)

regimes37.0ms (0.2%)

regimes20.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify23.0ms (0.1%)

soundness1.4s (6.9%)

end0.0ms (0%)

preprocess97.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	52	396
1	79	396
2	98	396
3	124	396
4	156	396
5	203	396
6	261	396
7	304	396
8	329	396
9	333	396
10	341	396