Metrics for Beckmann Sample, near normal, slope

analyze2.0ms (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)

sample2.5s (15.1%)

Results

2.5s	8256×	body	256	valid
1.0ms	7×	body	256	precondition

Bogosity

preprocess359.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

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

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 70 to 54 computations (22.9% 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
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	58.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	58.6%	(.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)

localize251.0ms (1.5%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.7%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.7%	(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))))
✓	99.0%	(*.f32 (PI.f32) u2)
✓	99.7%	(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)))
✓	99.0%	(.f32 (.f32 2 (PI.f32)) u2)
✓	56.7%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 98 to 55 computations (43.9% saved)

series48.0ms (0.3%)

Counts

8 → 104

Calls

30 calls:

Time	Variable		Point	Expression
24.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
4.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite267.0ms (1.6%)

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))))))
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(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)))

simplify356.0ms (2.1%)

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)))

eval525.0ms (3.1%)

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

prune158.0ms (0.9%)

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
	69.9%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
▶	73.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	91.9%	(.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)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	84.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))) (sin.f32 1))))
	96.5%	(.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)))))))))
	87.9%	(.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)))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	99.2%	(.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))))))
▶	80.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	73.8%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	70.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	69.9%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
▶	73.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	91.9%	(.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)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	84.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	97.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))) (sin.f32 1))))
	96.5%	(.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)))))))))
	87.9%	(.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)))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	99.2%	(.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))))))
▶	80.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	73.8%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	70.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))

Compiler

Compiled 1974 to 1686 computations (14.6% saved)

localize940.0ms (5.6%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.7%	(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)))))))))
✓	99.0%	(*.f32 u2 (PI.f32))
✓	97.4%	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
✓	99.1%	(pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
	99.0%	(*.f32 (PI.f32) u2)
✓	99.7%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.0%	(.f32 (.f32 2 (PI.f32)) u2)
✓	98.4%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
✓	100.0%	(log1p.f32 (neg.f32 u1))
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.6%	(sqrt.f32 (*.f32 (PI.f32) u2))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	99.0%	(*.f32 (PI.f32) u2)
✓	98.5%	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)

Compiler

Compiled 282 to 122 computations (56.7% saved)

series255.0ms (1.5%)

Counts

15 → 156

Calls

57 calls:

Time	Variable		Point	Expression
120.0ms	u2	@	-inf	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
46.0ms	u2	@	inf	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
15.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
9.0ms	u2	@	0	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
7.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)

rewrite203.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`expm1-udef`
600×	`add-sqr-sqrt`
592×	`pow1`
580×	`*-un-lft-identity`
568×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	341
1	843	267
2	7606	267

Stop Event

1×	node limit

Counts

15 → 385

Calls

Call 1

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

simplify335.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1714×	`fma-def`
628×	`*-commutative`
576×	`distribute-lft-in`
574×	`distribute-rgt-in`
538×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	926	28059
1	2609	25033

Stop Event

1×	node limit

Counts

541 → 491

Calls

Call 1

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

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

eval701.0ms (4.2%)

Compiler: Compiled 31219 to 21803 computations (30.2% saved)

prune344.0ms (2.1%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1034	23	1057
Fresh	8	12	20
Picked	1	4	5
Done	0	2	2
Total	1043	41	1084

Accuracy

99.9%

Counts

1084 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.9%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	61.7%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
✓	73.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 -1/2 (*.f32 u1 u1))) u1))) 1)
	91.9%	(.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)))
▶	87.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	87.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	72.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	84.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
▶	64.3%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)) (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	78.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (E.f32)))))
	94.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1/2)) 2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	80.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	75.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	62.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	73.8%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	70.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	62.9%	(sqrt.f32 (log1p.f32 u1))
	36.6%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	69.9%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	61.7%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
✓	73.6%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 -1/2 (*.f32 u1 u1))) u1))) 1)
	91.9%	(.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)))
▶	87.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	87.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	72.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
	84.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
▶	64.3%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)) (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	78.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (E.f32)))))
	94.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1/2)) 2))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	80.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	75.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	62.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	73.8%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	70.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	62.9%	(sqrt.f32 (log1p.f32 u1))
	36.6%	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 2618 to 2264 computations (13.5% saved)

localize1.2s (7.2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
✓	99.6%	(log1p.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	99.3%	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)
	99.0%	(*.f32 (PI.f32) u2)
✓	99.7%	(sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1)))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	99.1%	(pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
	99.0%	(*.f32 (PI.f32) u2)
	99.7%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.7%	(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1)))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.0%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.7%	(expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))))
✓	99.6%	(log1p.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.0%	(.f32 (PI.f32) (.f32 u2 2))

Compiler

Compiled 339 to 186 computations (45.1% saved)

series101.0ms (0.6%)

Counts

11 → 156

Calls

45 calls:

Time	Variable		Point	Expression
69.0ms	u2	@	inf	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)
14.0ms	u2	@	-inf	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)
1.0ms	u2	@	0	(-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite155.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`add-sqr-sqrt`
724×	`pow1`
716×	`*-un-lft-identity`
692×	`log1p-expm1-u`
690×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	361
1	996	313

Stop Event

1×	node limit

Counts

11 → 219

Calls

Call 1

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

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

simplify167.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-r`
1330×	`associate-l`
958×	`fma-def`
608×	`*-commutative`
394×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	686	18887
1	1892	17347

Stop Event

1×	node limit

Counts

375 → 378

Calls

Call 1

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

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

eval437.0ms (2.6%)

Compiler: Compiled 16394 to 10966 computations (33.1% saved)

prune248.0ms (1.5%)

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	596	20	616
Fresh	13	17	30
Picked	4	1	5
Done	2	4	6
Total	615	42	657

Accuracy

99.9%

Counts

657 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.3%	(+.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 -2 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))))))
	61.7%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	87.9%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	75.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 -1/2 (*.f32 u1 u1))) u1))) 1)
	91.9%	(.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)))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
	87.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
▶	78.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	87.6%	(.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)))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	84.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
✓	64.3%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	94.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2) 3/2))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) 1))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) -1))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1)))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
▶	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (-.f32 1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)) (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)))))
	92.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (pow.f32 (sqrt.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 2))))
	78.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (-.f32 (exp.f32 1/2) 1))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	80.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	62.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	73.8%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
▶	72.8%	(sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1)))
	70.4%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))
	62.9%	(sqrt.f32 (log1p.f32 u1))
	36.6%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	78.3%	(+.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 -2 (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))))))
	61.7%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	87.9%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	75.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 -1/2 (*.f32 u1 u1))) u1))) 1)
	91.9%	(.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)))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
	87.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
▶	78.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	87.6%	(.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)))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	84.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
✓	64.3%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	94.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2) 3/2))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) 1))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) -1))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1)))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
▶	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (-.f32 1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)) (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)))))
	92.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (pow.f32 (sqrt.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 2))))
	78.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (-.f32 (exp.f32 1/2) 1))))
	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	94.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	80.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
	62.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	73.8%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
▶	72.8%	(sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1)))
	70.4%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))
	62.9%	(sqrt.f32 (log1p.f32 u1))
	36.6%	(sqrt.f32 (log.f32 (+.f32 1 u1)))

Compiler

Compiled 2976 to 2524 computations (15.2% saved)

localize1.5s (8.8%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)))
	99.0%	(.f32 (PI.f32) (.f32 u2 2))
✓	98.8%	(-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.6%	(log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
✓	99.4%	(expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
	99.0%	(.f32 (PI.f32) (.f32 u2 2))
	99.7%	(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1)))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
✓	98.8%	(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
✓	96.9%	(pow.f32 (PI.f32) 2)
✓	100.0%	(+.f32 u1 (.f32 (.f32 1/2 u1) u1))
✓	99.7%	(sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1)))
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1)))
	99.0%	(*.f32 u2 (PI.f32))
✓	36.6%	(+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) -1)

Compiler

Compiled 381 to 232 computations (39.1% saved)

series164.0ms (1%)

Counts

12 → 160

Calls

45 calls:

Time	Variable		Point	Expression
87.0ms	u2	@	-inf	(-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
53.0ms	u2	@	inf	(-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
3.0ms	u2	@	0	(-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
1.0ms	u2	@	0	(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))

rewrite211.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`add-sqr-sqrt`
966×	`pow1`
958×	`*-un-lft-identity`
910×	`log1p-expm1-u`
908×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	386
1	1067	386

Stop Event

1×	node limit

Counts

12 → 109

Calls

Call 1

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

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

simplify466.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1098×	`fma-def`
768×	`unswap-sqr`
706×	`*-commutative`
386×	`+-commutative`
378×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	15299
1	1632	13323
2	5187	13079

Stop Event

1×	node limit

Counts

269 → 330

Calls

Call 1

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

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

eval1.1s (6.8%)

Compiler: Compiled 23590 to 17538 computations (25.7% saved)

prune268.0ms (1.6%)

Pruning

50 alts after pruning (42 fresh and 8 done)

	Pruned	Kept	Total
New	729	16	745
Fresh	6	26	32
Picked	1	4	5
Done	1	4	5
Total	737	50	787

Accuracy

99.9%

Counts

787 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.0%	(-.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (*.f32 u1 (sqrt.f32 1/2)))
	78.3%	(+.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2)) (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))))
	61.7%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	87.9%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
	75.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 -1/2 (*.f32 u1 u1))) u1))) 1)
	91.9%	(.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)))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (-.f32 (+.f32 1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 1))
✓	78.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (+.f32 1 (.f32 -2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)))
	86.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	87.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	84.9%	(.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)))
	94.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2) 3/2))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) 1))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) -1))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (+.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) -1)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (log1p.f32 (expm1.f32 (+.f32 -1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
	87.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (-.f32 1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (+.f32 1 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))) -1)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (+.f32 (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)) (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1/4)))))
	92.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (pow.f32 (sqrt.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 2))))
	78.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log1p.f32 (-.f32 (exp.f32 1/2) 1))))
	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (exp.f32 (.f32 1/2 (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 (PI.f32) (*.f32 u2 2))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	80.4%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
✓	58.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.2%	(*.f32 (neg.f32 u1) (sqrt.f32 1/2))
	62.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	87.7%	(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))))
	73.8%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	62.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	19.1%	(*.f32 u1 (sqrt.f32 1/2))
	72.8%	(sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))
✓	72.8%	(sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1)))
	70.4%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))
	72.7%	(sqrt.f32 (.f32 (+.f32 (.f32 u1 1/2) 1) u1))
	19.1%	(sqrt.f32 (.f32 u1 (.f32 u1 1/2)))
	62.9%	(sqrt.f32 (log1p.f32 u1))
	36.6%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	42.0%	(sqrt.f32 (log.f32 (exp.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2))))))
	71.3%	(sqrt.f32 (exp.f32 (log.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2))))))
	64.3%	(sqrt.f32 u1)
	81.4%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))

Compiler

Compiled 2199 to 1540 computations (30% saved)

regimes392.0ms (2.3%)

Counts

86 → 1

Calls

Call 1

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

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

Calls

10 calls:

51.0ms	(log.f32 (-.f32 1 u1))
50.0ms	u2
49.0ms	cosTheta_i
38.0ms	(.f32 (.f32 2 (PI.f32)) u2)
38.0ms	u1

Results

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

Compiler

Compiled 1393 to 866 computations (37.8% saved)

regimes119.0ms (0.7%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	(.f32 (.f32 2 (PI.f32)) u2)
27.0ms	u2
24.0ms	u1
15.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
87.9%	1	`cosTheta_i`
93.9%	2	`u1`
94.6%	2	`u2`
94.6%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
94.6%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 286 to 198 computations (30.8% saved)

regimes85.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	u1
19.0ms	(.f32 (.f32 2 (PI.f32)) u2)
19.0ms	u2
13.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
9.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
80.4%	1	`cosTheta_i`
88.2%	2	`u1`
91.0%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
91.0%	2	`u2`
91.0%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 191 to 133 computations (30.4% saved)

regimes21.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	u1
9.0ms	u2

Results

Accuracy	Segments	Branch
80.4%	1	`u1`
80.4%	1	`u2`

Compiler

Compiled 130 to 90 computations (30.8% saved)

regimes23.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))

Calls

3 calls:

8.0ms	cosTheta_i
7.0ms	u2
7.0ms	u1

Results

Accuracy	Segments	Branch
72.8%	1	`u2`
72.8%	1	`cosTheta_i`
72.8%	1	`u1`

Compiler

Compiled 95 to 63 computations (33.7% saved)

regimes21.0ms (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))
(sqrt.f32 (.f32 u1 (.f32 u1 1/2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (.f32 (+.f32 (.f32 u1 1/2) 1) u1))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (*.f32 u1 u1)) u1))) 1)

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

Calls

3 calls:

8.0ms	u2
6.0ms	cosTheta_i
5.0ms	u1

Results

Accuracy	Segments	Branch
72.8%	1	`cosTheta_i`
72.8%	1	`u1`
72.8%	1	`u2`

Compiler

Compiled 65 to 47 computations (27.7% saved)

regimes16.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	u1
5.0ms	u2
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
72.7%	1	`cosTheta_i`
72.7%	1	`u1`
72.7%	1	`u2`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes15.0ms (0.1%)

Accuracy

Total -19.4b remaining (-170.1%)

Threshold costs -19.4b (-170.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

5.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
64.3%	1	`cosTheta_i`
64.3%	1	`u1`
64.3%	1	`u2`

Compiler

Compiled 38 to 28 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00047467678086832166	0.0005756319151259959

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	0.016605770215392113	0.017586184665560722

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative`
20×	`+-commutative`
14×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	330
1	89	330
2	103	330
3	114	330
4	122	330
5	125	330
6	126	330

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.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) 8589935/17179869184) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 4563403/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1)))
(sqrt.f32 (.f32 (+.f32 (.f32 u1 1/2) 1) u1))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 8589935/17179869184) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 8589935/17179869184) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 u1 (.f32 u1 (*.f32 u1 1/2))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 4563403/268435456) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 4563403/268435456) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 u1 (.f32 u1 (*.f32 u1 -1/2)))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 1/2 u1) u1)))
(sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2))))
(sqrt.f32 (.f32 (+.f32 (.f32 u1 1/2) 1) u1))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2))))
(sqrt.f32 u1)

Compiler

Compiled 131 to 99 computations (24.4% saved)

soundness2.6s (15.4%)

Rules

2542×	`fma-def`
1674×	`log-prod`
1400×	`associate-r`
1400×	`associate-r`
1330×	`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
0	688	15707
1	1647	13745
2	7110	13741
0	686	18887
1	1892	17347
0	50	386
1	1067	386
0	50	386
1	1067	386
0	567	15299
1	1632	13323
2	5187	13079
0	25	168
1	512	132
2	4823	132
0	686	18887
1	1892	17347

Stop Event

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

Compiler

Compiled 1284 to 849 computations (33.9% saved)

end4.0ms (0%)

preprocess147.0ms (0.9%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 312 to 204 computations (34.6% saved)

analyze2.0ms (0%)

sample2.5s (15.1%)

preprocess359.0ms (2.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize251.0ms (1.5%)

series48.0ms (0.3%)

rewrite267.0ms (1.6%)

simplify356.0ms (2.1%)

eval525.0ms (3.1%)

prune158.0ms (0.9%)

localize940.0ms (5.6%)

series255.0ms (1.5%)

rewrite203.0ms (1.2%)

simplify335.0ms (2%)

eval701.0ms (4.2%)

prune344.0ms (2.1%)

localize1.2s (7.2%)

series101.0ms (0.6%)

rewrite155.0ms (0.9%)

simplify167.0ms (1%)

eval437.0ms (2.6%)

prune248.0ms (1.5%)

localize1.5s (8.8%)

series164.0ms (1%)

rewrite211.0ms (1.3%)

simplify466.0ms (2.8%)

eval1.1s (6.8%)

prune268.0ms (1.6%)

regimes392.0ms (2.3%)

regimes119.0ms (0.7%)

regimes85.0ms (0.5%)

regimes21.0ms (0.1%)

regimes23.0ms (0.1%)

regimes21.0ms (0.1%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness2.6s (15.4%)

end4.0ms (0%)

preprocess147.0ms (0.9%)

Profiling