Details

analyze342.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.7s (17.1%)

Results

2.7s	8256×	body	256	valid
2.0ms	10×	body	256	precondition

Bogosity

preprocess87.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

376×	`fma-def`
126×	`sub-neg`
68×	`associate-+l-`
60×	`*-commutative`
58×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	172
1	62	164
2	101	164
3	128	164
4	159	164
5	195	164
6	235	164
7	323	164
8	499	164
9	541	164
10	599	164
11	639	164
12	722	164
13	763	164
14	778	164
15	781	164
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def`
46×	`sub-neg`
24×	`associate-+l-`
22×	`*-commutative`
22×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	29	41
2	42	41
3	53	41
4	64	41
5	78	41
6	96	41
7	123	41
8	154	41
9	169	41
10	193	41
11	211	41
12	246	41
13	261	41
14	266	41
15	267	41

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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))))

eval1.0ms (0%)

Compiler: Compiled 41 to 32 computations (22% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Accurracy

99.2%

Counts

4 → 2

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))))
▶	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize103.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	56.7%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series33.0ms (0.2%)

Counts

4 → 56

Calls

15 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)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1506×	`log-prod`
988×	`prod-diff`
672×	`pow-exp`
556×	`expm1-udef`
556×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	340	80
2	4100	80

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

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

simplify453.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-r`
710×	`log-prod`
662×	`associate-l`
528×	`cancel-sign-sub-inv`
438×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	497	7191
1	1224	6547
2	4843	6481

Stop Event

1×	node limit

Counts

197 → 295

Calls

Call 1

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

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

localize97.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.7%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	99.1%	(*.f32 (PI.f32) u2)

Compiler

Compiled 47 to 19 computations (59.6% saved)

series13.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`log-prod`
1358×	`prod-diff`
620×	`pow-exp`
516×	`expm1-udef`
514×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	324	70
2	3913	70

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify158.0ms (1%)

Algorithm

1×	egg-herbie

Rules

676×	`associate-r`
676×	`associate-l`
650×	`associate-+l+`
630×	`associate-+r+`
548×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	7802
1	1163	6948
2	4472	6388

Stop Event

1×	node limit

Counts

186 → 253

Calls

Call 1

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

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

eval407.0ms (2.6%)

Compiler: Compiled 15314 to 10359 computations (32.4% saved)

prune211.0ms (1.3%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	520	28	548
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	520	30	550

Accurracy

99.9%

Counts

550 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.0%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	72.8%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	57.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 6) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 6)) (+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))))
	98.9%	(.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)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
▶	88.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	93.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.2%	(.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))))))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	78.9%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
✓	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	50.2%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	72.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	69.2%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))

Compiler

Compiled 1103 to 939 computations (14.9% saved)

localize325.0ms (2.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
✓	99.1%	(.f32 (PI.f32) (.f32 u2 2))
✓	97.9%	(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))

Compiler

Compiled 64 to 36 computations (43.8% saved)

series3.0ms (0%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
0.0ms	u2	@	inf	(expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`log-prod`
1000×	`prod-diff`
736×	`pow-prod-up`
646×	`pow-exp`
530×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	98
1	340	90
2	4020	90

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

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

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

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-*r/`
624×	`associate-+l+`
600×	`associate-r`
564×	`associate-l`
552×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	6519
1	961	6051
2	3810	5677

Stop Event

1×	node limit

Counts

159 → 214

Calls

Call 1

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

Outputs
(-.f32 (exp.f32 1) 1)
(expm1.f32 1)
(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (exp.f32 1)) 1)
(+.f32 (.f32 (.f32 -2 (.f32 u2 u2)) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (expm1.f32 1))
(fma.f32 -2 (.f32 (.f32 u2 u2) (*.f32 (E.f32) (pow.f32 (PI.f32) 2))) (expm1.f32 1))
(fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (E.f32))) (expm1.f32 1))
(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1))) (exp.f32 1))) 1)
(+.f32 (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 4) 8/3)) (E.f32))) -1)
(+.f32 (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) (*.f32 8/3 (E.f32))) (E.f32))) -1)
(+.f32 (expm1.f32 1) (.f32 (E.f32) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 u2 u2))) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 8/3)))))
(-.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1))) (+.f32 (.f32 (pow.f32 u2 6) (.f32 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (*.f32 -4/45 (pow.f32 (PI.f32) 6))) (exp.f32 1))) (exp.f32 1)))) 1)
(+.f32 (fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (fma.f32 (pow.f32 u2 6) (.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 6) -124/45)) (E.f32)))) -1)
(fma.f32 -2 (.f32 (.f32 u2 u2) (.f32 (E.f32) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (E.f32) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -124/45)))) (expm1.f32 1)))
(+.f32 (.f32 (E.f32) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -124/45)))) (fma.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) (E.f32))) (expm1.f32 1)))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(-.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.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) (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) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 u2 (.f32 2 (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 (sqrt.f32 -1)) (/.f32 u1 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))))
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(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (.f32 (.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1) 1))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (.f32 (.f32 3 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1/3))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 u2 (.f32 2 (PI.f32))))

localize28.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f32 (neg.f32 u1))
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(log1p.f32 (neg.f32 u1))
0.0ms	u1	@	inf	(log1p.f32 (neg.f32 u1))
0.0ms	u1	@	-inf	(log1p.f32 (neg.f32 u1))

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1`
726×	`add-sqr-sqrt`
714×	`*-un-lft-identity`
690×	`add-exp-log`
688×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	101	5
2	1208	5

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(log1p.f32 (neg.f32 u1))

Outputs
(+.f32 0 (log1p.f32 u1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2)) (log.f32 (cbrt.f32 (+.f32 u1 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 u1 1))) (log.f32 (sqrt.f32 (+.f32 u1 1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) 1)
(*.f32 1 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/3) (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) 1/3))
(.f32 (pow.f32 (pow.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1)
(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)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 u1))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 2))

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-neg`
912×	`associate-r`
846×	`log-prod`
812×	`fma-def`
806×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	760
1	308	690
2	940	674
3	4961	674

Stop Event

1×	node limit

Counts

42 → 88

Calls

Call 1

Inputs
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(+.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 0 (log1p.f32 u1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2)) (log.f32 (cbrt.f32 (+.f32 u1 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 u1 1))) (log.f32 (sqrt.f32 (+.f32 u1 1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) 1)
(*.f32 1 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/3) (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) 1/3))
(.f32 (pow.f32 (pow.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1)
(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)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 u1))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 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 u1 (.f32 u1 -1/2)) u1)
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))
(-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1)
(-.f32 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2)) u1)
(fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (neg.f32 u1))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))) u1)
(fma.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)) (fma.f32 -1/4 (pow.f32 u1 4) (neg.f32 u1)))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (/.f32 -1 u1)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (/.f32 -1 u1) (+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 u1) (+.f32 (+.f32 (log.f32 -1) (/.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 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(+.f32 (log.f32 u1) (+.f32 (-.f32 (log.f32 -1) (/.f32 1/3 (pow.f32 u1 3))) (+.f32 (/.f32 -1 u1) (/.f32 -1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 u1) (+.f32 (+.f32 (+.f32 (log.f32 -1) (/.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 u1) (log.f32 (/.f32 -1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.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 (+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3)))
(-.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1/2 (*.f32 u1 u1))) (+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 0 (log1p.f32 u1))
(log1p.f32 u1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2)) (log.f32 (cbrt.f32 (+.f32 u1 1))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 u1 1)))) (log.f32 (cbrt.f32 (+.f32 u1 1))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 u1 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 u1 1))) (log.f32 (sqrt.f32 (+.f32 u1 1))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 u1 1))))
(*.f32 2 (log.f32 (hypot.f32 1 (sqrt.f32 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(log1p.f32 u1)
(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(*.f32 1 (log1p.f32 u1))
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 (pow.f32 1 1/3) (log1p.f32 u1))
(log1p.f32 u1)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(log1p.f32 u1)
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) 1/3))
(log1p.f32 u1)
(.f32 (pow.f32 (pow.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 8)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 5/2) 1/3) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 5/2)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(log1p.f32 u1)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log1p.f32 u1)
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(log1p.f32 u1)
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 u1))) 1/3))
(log1p.f32 u1)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 2))
(log1p.f32 u1)

localize151.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 (.f32 -2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
✓	98.8%	(.f32 (.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))
✓	96.9%	(pow.f32 (PI.f32) 2)

Compiler

Compiled 71 to 36 computations (49.3% saved)

series6.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`prod-diff`
976×	`fma-def`
602×	`expm1-udef`
600×	`log1p-udef`
400×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	91
1	411	67
2	5000	67

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

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

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-lft-in`
1452×	`distribute-rgt-in`
996×	`times-frac`
772×	`unswap-sqr`
570×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	7725
1	841	6365
2	3089	6267

Stop Event

1×	node limit

Counts

133 → 169

Calls

Call 1

Inputs
(.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
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(fma.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4) (.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2)) 1))
(fma.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) 1) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2)))
(fma.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) 1) (.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1))
(fma.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -2))) (.f32 (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 -2))) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (cbrt.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2))) (cbrt.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2)))) (cbrt.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2))) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2)) 1))
(fma.f32 (sqrt.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2))) (sqrt.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2))) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2)) 1))
(fma.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2)) 1))
(fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 2)) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2) (.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2)) 1))
(fma.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)) (.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2)) 1))
(fma.f32 (.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -2))) (pow.f32 (log1p.f32 u1) 1/4)) (.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -2))) (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -2)))) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -2)))) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (PI.f32) 2)) (.f32 -2 (*.f32 u2 u2)) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) -2) (pow.f32 (.f32 u2 (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 -2 (*.f32 u2 u2))) (pow.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 u2 4) 4)))) (cbrt.f32 (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (.f32 u2 (sqrt.f32 -2)))) (.f32 (PI.f32) (*.f32 u2 (sqrt.f32 -2))) (sqrt.f32 (log1p.f32 u1)))

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

localize93.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
✓	99.4%	(log1p.f32 (*.f32 (PI.f32) u2))
✓	99.3%	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
	99.1%	(*.f32 (PI.f32) u2)

Compiler

Compiled 62 to 21 computations (66.1% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	inf	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	0	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u2	@	-inf	(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`prod-diff`
1454×	`log-prod`
542×	`expm1-udef`
540×	`log1p-udef`
468×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	344	55
2	4097	55

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

792×	`distribute-lft-in`
756×	`associate-+l+`
742×	`distribute-rgt-in`
614×	`associate-+r+`
594×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	5003
1	841	4463
2	2957	4123

Stop Event

1×	node limit

Counts

121 → 183

Calls

Call 1

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

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

localize149.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.0%	(log1p.f32 (log1p.f32 (neg.f32 u1)))
✓	56.8%	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)

Compiler

Compiled 76 to 37 computations (51.3% saved)

series31.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
7.0ms	u1	@	inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`log-prod`
1410×	`prod-diff`
580×	`log1p-udef`
578×	`expm1-udef`
470×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	63
1	402	47
2	4592	47

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)

(log1p.f32 (log1p.f32 (neg.f32 u1)))

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

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

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1326×	`unswap-sqr`
586×	`fma-def`
388×	`associate-r`
364×	`associate-l`
362×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	9071
1	1186	7769
2	4236	7137

Stop Event

1×	node limit

Counts

149 → 266

Calls

Call 1

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

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

eval735.0ms (4.7%)

Compiler: Compiled 34275 to 23484 computations (31.5% saved)

prune563.0ms (3.6%)

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	1087	24	1111
Fresh	7	16	23
Picked	0	1	1
Done	2	4	6
Total	1096	45	1141

Accurracy

99.9%

Counts

1141 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
▶	73.0%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	60.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	72.8%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	74.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) 1)
	73.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) 1)
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	70.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
	98.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	68.7%	(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) 1)
	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	78.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) 1)
✓	57.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	75.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	62.4%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1))))
	98.9%	(.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)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1))
	88.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
▶	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (fma.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) -1)))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	93.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
▶	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 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))))))
✓	78.9%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
✓	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	50.2%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	60.9%	(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
	60.0%	(.f32 (exp.f32 (.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) 1)
	72.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	60.2%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	60.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	69.2%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2)))

Compiler

Compiled 1487 to 1254 computations (15.7% saved)

localize97.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.7%	(cos.f32 (*.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1)))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
✓	59.3%	(-.f32 (fma.f32 (PI.f32) u2 1) 1)

Compiler

Compiled 64 to 37 computations (42.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
1.0ms	u2	@	-inf	(-.f32 (fma.f32 (PI.f32) u2 1) 1)
0.0ms	u2	@	inf	(-.f32 (fma.f32 (PI.f32) u2 1) 1)
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))

rewrite120.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`log-prod`
792×	`prod-diff`
606×	`expm1-udef`
606×	`log1p-udef`
518×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	93
1	386	79
2	4716	61

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs
(+.f32 (fma.f32 (PI.f32) u2 1) -1)
(+.f32 (*.f32 (PI.f32) u2) 0)
(+.f32 0 (*.f32 (PI.f32) u2))
(+.f32 -1 (fma.f32 (PI.f32) u2 1))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (exp.f32 (.f32 (PI.f32) u2))))) (log.f32 (cbrt.f32 (exp.f32 (.f32 (PI.f32) u2)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (.f32 (PI.f32) u2)))) (log.f32 (sqrt.f32 (exp.f32 (.f32 (PI.f32) u2)))))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 1 (.f32 (PI.f32) u2))
(.f32 (.f32 (PI.f32) u2) 1)
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (fma.f32 (PI.f32) u2 2))))
(*.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1) (/.f32 1 (fma.f32 (PI.f32) u2 2)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 u2)) (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 u2)))
(*.f32 (+.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 1)) 1) (-.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 1)) 1))
(.f32 (.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2))
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (fma.f32 (PI.f32) u2 2)) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1)))
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(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)))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-*r/`
672×	`associate-+r+`
640×	`associate-+l+`
588×	`associate-r`
538×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	8177
1	1048	7001
2	3862	5891

Stop Event

1×	node limit

Counts

167 → 237

Calls

Call 1

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

localize64.0ms (0.4%)

Compiler: Compiled 20 to 9 computations (55% saved)

localize100.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`log-prod`
792×	`pow-prod-down`
724×	`prod-diff`
640×	`pow-prod-up`
562×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	303	29
2	3367	29

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1200×	`log-prod`
1152×	`associate-r`
1038×	`associate-l`
578×	`associate-+r+`
544×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1213
1	211	1163
2	625	1091
3	4218	1081
4	7025	1081

Stop Event

1×	node limit

Counts

33 → 49

Calls

Call 1

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

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

localize66.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.5%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	99.1%	(*.f32 (PI.f32) u2)
✓	98.5%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)

Compiler

Compiled 47 to 27 computations (42.6% saved)

series86.0ms (0.5%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
56.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
21.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
4.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms	u1	@	inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	-inf	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`log-prod`
1220×	`prod-diff`
700×	`pow-exp`
556×	`expm1-udef`
552×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	332	42
2	3780	42

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

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

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1080×	`times-frac`
954×	`associate-*r/`
924×	`unswap-sqr`
854×	`associate-+r+`
850×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	5849
1	986	5519
2	3321	5103

Stop Event

1×	node limit

Counts

87 → 152

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 2 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))) (pow.f32 u1 3))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))) (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (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 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (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 1/2 (.f32 (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (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 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (.f32 -2 (.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/45 (.f32 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -2 (.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 2/3 (.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 0 (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(.f32 (cbrt.f32 (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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))
(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))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1) 1/2))
(exp.f32 (.f32 (.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))) 1) 2))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2) 1))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 1/3))
(exp.f32 (.f32 (.f32 2 (log.f32 (log1p.f32 u1))) 1/4))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 2))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 u1) 13/96) (.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 u1) 13/96) (.f32 u1 u1) (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 -39/512 (sqrt.f32 u1)) (.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 23/192 (sqrt.f32 u1)) (.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(fma.f32 (.f32 (sqrt.f32 u1) -35/384) (pow.f32 u1 3) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(fma.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 u1) -35/384) (fma.f32 (.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(+.f32 (fma.f32 -1/4 (pow.f32 u1 3/2) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (+.f32 (.f32 13/96 (.f32 u1 u1)) (.f32 -35/384 (pow.f32 u1 3)))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 -1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3)))) u1)) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) u1)))))))
(fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) u1)) (+.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 -1/2 (/.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 1/8 (neg.f32 (log.f32 u1))) (/.f32 -1/8 (*.f32 (log.f32 u1) (log.f32 u1)))))))))))
(+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (+.f32 (.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/24 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (-.f32 (fma.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))) (neg.f32 (log.f32 u1))) (.f32 1/24 (-.f32 (/.f32 3 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))) (/.f32 1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))) (fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/32 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 1/8 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2)))))) (sqrt.f32 (neg.f32 (log.f32 u1)))) (.f32 u1 u1)) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 -1/32 (-.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3)))) (fma.f32 1/24 (-.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 2 (neg.f32 (log.f32 u1))) (/.f32 2 (neg.f32 (pow.f32 (log.f32 u1) 3))))) (/.f32 -1/384 (neg.f32 (pow.f32 (log.f32 u1) 3))))))) (fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (pow.f32 (log.f32 u1) 3)))) u1)) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (fma.f32 1/8 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1)))) u1)))))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 -1/32 (+.f32 (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1))) (/.f32 -1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (fma.f32 1/24 (+.f32 (/.f32 3 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 -2 (neg.f32 (log.f32 u1))) (/.f32 -2 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (/.f32 -1/384 (pow.f32 (neg.f32 (log.f32 u1)) 3)))))) (fma.f32 1/16 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 3))) u1)) (+.f32 (.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (+.f32 (sqrt.f32 -1) (.f32 2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 1/8 (neg.f32 (log.f32 u1))) (/.f32 -1/8 (.f32 (log.f32 u1) (log.f32 u1))))))))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (+.f32 (/.f32 (sqrt.f32 -1) u1) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (/.f32 1/32 (.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 1/8 (neg.f32 (log.f32 u1))) (/.f32 -1/8 (.f32 (log.f32 u1) (log.f32 u1)))))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 2 (/.f32 (.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (fma.f32 -1/8 (+.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2))) (/.f32 1/32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 2)))) (.f32 u1 u1)) (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) 3))) (/.f32 1 (.f32 u1 u1))))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (fma.f32 (.f32 2 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (+.f32 (+.f32 (/.f32 -1/8 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2)) (/.f32 -1/8 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 1/32 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 2))) (.f32 u1 u1)) (.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) 3))) (.f32 u1 u1)))))
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(sqrt.f32 (log1p.f32 u1))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (.f32 2 u2) (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))))))
(.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.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 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.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 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(fabs.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1) 1))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 3))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1/3))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 2))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

localize141.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
	99.1%	(.f32 (PI.f32) (.f32 u2 2))
✓	97.4%	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))

Compiler

Compiled 87 to 55 computations (36.8% saved)

series73.0ms (0.5%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
46.0ms	u2	@	inf	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
15.0ms	u2	@	-inf	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
2.0ms	u2	@	0	(exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
2.0ms	u2	@	0	(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))))

rewrite144.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`log-prod`
930×	`prod-diff`
588×	`expm1-udef`
586×	`log1p-udef`
388×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	113
1	393	81
2	4687	81

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))

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

(exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))

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

simplify155.0ms (1%)

Algorithm

1×	egg-herbie

Rules

966×	`unswap-sqr`
574×	`associate-+r+`
566×	`associate-+l+`
554×	`times-frac`
512×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	7259
1	945	6583
2	3365	5943

Stop Event

1×	node limit

Counts

115 → 184

Calls

Call 1

Inputs
(log.f32 (sqrt.f32 (exp.f32 1)))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 1))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 1))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 12 (/.f32 (-.f32 (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4)))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (exp.f32 1)))))) (.f32 -1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/720 (.f32 (pow.f32 u2 6) (+.f32 (.f32 360 (/.f32 (.f32 (-.f32 (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4)))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (pow.f32 (PI.f32) 2)) (exp.f32 1))) (+.f32 (.f32 360 (/.f32 (-.f32 (.f32 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6))) (exp.f32 1)) (.f32 -1 (.f32 (-.f32 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1)) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (pow.f32 (PI.f32) 2)))) (exp.f32 1))) (.f32 -240 (pow.f32 (PI.f32) 6)))))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 1))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 12 (/.f32 (-.f32 (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4)))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (exp.f32 1)))))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.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)) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.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)) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))))
(+.f32 (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) u1))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))))
(+.f32 (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) u1))) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))))))
(+.f32 (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) u1))) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (log.f32 (sqrt.f32 (exp.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 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))))))
(.f32 2 (.f32 (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 2 (.f32 (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 1/12 (.f32 (.f32 (+.f32 (.f32 12 (/.f32 (-.f32 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1)) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (exp.f32 1))) (.f32 -12 (pow.f32 (PI.f32) 4))) (.f32 (sqrt.f32 -1) (pow.f32 u2 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 1/360 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (+.f32 (.f32 360 (/.f32 (-.f32 (.f32 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6))) (exp.f32 1)) (.f32 -1 (.f32 (-.f32 (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4)))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (pow.f32 (PI.f32) 2)))) (exp.f32 1))) (+.f32 (.f32 -240 (pow.f32 (PI.f32) 6)) (.f32 360 (/.f32 (.f32 (-.f32 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1)) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (pow.f32 (PI.f32) 2)) (exp.f32 1))))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 1/12 (.f32 (.f32 (+.f32 (.f32 12 (/.f32 (-.f32 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1)) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (exp.f32 1))) (.f32 -12 (pow.f32 (PI.f32) 4))) (.f32 (sqrt.f32 -1) (pow.f32 u2 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 2 (.f32 (*.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 1)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(exp.f32 1)
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (exp.f32 1))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))) (exp.f32 1)))
(+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (.f32 (pow.f32 u2 4) (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))))) (+.f32 (.f32 (pow.f32 u2 6) (.f32 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (*.f32 -4/45 (pow.f32 (PI.f32) 6))) (exp.f32 1))) (exp.f32 1))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 0)
(+.f32 0 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(+.f32 (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/4)) (log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/4)))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))
(+.f32 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (log.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
(+.f32 (log.f32 (pow.f32 1 1/2)) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2))) (log.f32 (sqrt.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2) 1/2)) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 1/2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1)
(.f32 (.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(.f32 1 (.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2) (cbrt.f32 (.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (sqrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))
(pow.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(pow.f32 (cbrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
(pow.f32 (pow.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)
(sqrt.f32 (pow.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(cbrt.f32 (pow.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(expm1.f32 (log1p.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (log.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (.f32 (log.f32 (.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 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 u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))
(+.f32 0 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) 1)
(.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 1 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))
(.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/4) (.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/4) (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/4)) (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/4))
(.f32 (.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(pow.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)
(pow.f32 (exp.f32 2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)
(pow.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) 1/2)
(pow.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3) 1/3)
(pow.f32 (exp.f32 1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(pow.f32 (exp.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2)) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(log.f32 (exp.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(log1p.f32 (expm1.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))

Outputs
(log.f32 (sqrt.f32 (exp.f32 1)))
(log.f32 (sqrt.f32 (E.f32)))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 1))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (log.f32 (sqrt.f32 (E.f32))) (neg.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(-.f32 (log.f32 (sqrt.f32 (E.f32))) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(-.f32 (log.f32 (sqrt.f32 (E.f32))) (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 1))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 12 (/.f32 (-.f32 (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4)))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (exp.f32 1)))))) (.f32 -1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (sqrt.f32 (E.f32))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -12 (pow.f32 (PI.f32) 4) (/.f32 (.f32 12 (-.f32 (.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (pow.f32 (neg.f32 (.f32 (sqrt.f32 (E.f32)) (pow.f32 (PI.f32) 2))) 2))) (E.f32)))) (neg.f32 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (sqrt.f32 (E.f32))) (fma.f32 (.f32 1/24 (pow.f32 u2 4)) (fma.f32 -12 (pow.f32 (PI.f32) 4) (.f32 12 (/.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 8/3 (E.f32))) (pow.f32 (.f32 (sqrt.f32 (E.f32)) (neg.f32 (pow.f32 (PI.f32) 2))) 2)) (E.f32)))) (.f32 (*.f32 u2 u2) (neg.f32 (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (sqrt.f32 (E.f32))) (fma.f32 (fma.f32 12 (-.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 4) 8/3) 1) (/.f32 (pow.f32 (.f32 (sqrt.f32 (E.f32)) (neg.f32 (pow.f32 (PI.f32) 2))) 2) (E.f32))) (.f32 -12 (pow.f32 (PI.f32) 4))) (.f32 1/24 (pow.f32 u2 4)) (.f32 (.f32 u2 u2) (neg.f32 (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/720 (.f32 (pow.f32 u2 6) (+.f32 (.f32 360 (/.f32 (.f32 (-.f32 (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4)))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (pow.f32 (PI.f32) 2)) (exp.f32 1))) (+.f32 (.f32 360 (/.f32 (-.f32 (.f32 (+.f32 (.f32 -8/3 (pow.f32 (PI.f32) 6)) (.f32 -4/45 (pow.f32 (PI.f32) 6))) (exp.f32 1)) (.f32 -1 (.f32 (-.f32 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4))) (exp.f32 1)) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (pow.f32 (PI.f32) 2)))) (exp.f32 1))) (.f32 -240 (pow.f32 (PI.f32) 6)))))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 1))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 12 (/.f32 (-.f32 (.f32 (exp.f32 1) (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 2 (pow.f32 (PI.f32) 4)))) (pow.f32 (.f32 -1 (.f32 (sqrt.f32 (exp.f32 1)) (pow.f32 (PI.f32) 2))) 2)) (exp.f32 1)))))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(fma.f32 1/720 (.f32 (pow.f32 u2 6) (fma.f32 360 (/.f32 (-.f32 (.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 6) -124/45)) (neg.f32 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (pow.f32 (neg.f32 (.f32 (sqrt.f32 (E.f32)) (pow.f32 (PI.f32) 2))) 2))))) (E.f32)) (fma.f32 -240 (pow.f32 (PI.f32) 6) (.f32 360 (/.f32 (-.f32 (.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (pow.f32 (neg.f32 (.f32 (sqrt.f32 (E.f32)) (pow.f32 (PI.f32) 2))) 2)) (/.f32 (E.f32) (pow.f32 (PI.f32) 2))))))) (+.f32 (log.f32 (sqrt.f32 (E.f32))) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (fma.f32 -12 (pow.f32 (PI.f32) 4) (/.f32 (.f32 12 (-.f32 (.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 4) 8/3)) (pow.f32 (neg.f32 (.f32 (sqrt.f32 (E.f32)) (pow.f32 (PI.f32) 2))) 2))) (E.f32)))) (neg.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))))
(+.f32 (fma.f32 (.f32 1/24 (pow.f32 u2 4)) (fma.f32 -12 (pow.f32 (PI.f32) 4) (.f32 12 (/.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 8/3 (E.f32))) (pow.f32 (.f32 (sqrt.f32 (E.f32)) (neg.f32 (pow.f32 (PI.f32) 2))) 2)) (E.f32)))) (.f32 (.f32 u2 u2) (neg.f32 (pow.f32 (PI.f32) 2)))) (fma.f32 (.f32 1/720 (pow.f32 u2 6)) (fma.f32 360 (/.f32 (fma.f32 (E.f32) (.f32 (pow.f32 (PI.f32) 6) -124/45) (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 8/3 (E.f32))) (pow.f32 (.f32 (sqrt.f32 (E.f32)) (neg.f32 (pow.f32 (PI.f32) 2))) 2)))) (E.f32)) (fma.f32 360 (/.f32 (pow.f32 (PI.f32) 2) (/.f32 (E.f32) (-.f32 (.f32 (pow.f32 (PI.f32) 4) (.f32 8/3 (E.f32))) (pow.f32 (.f32 (sqrt.f32 (E.f32)) (neg.f32 (pow.f32 (PI.f32) 2))) 2)))) (*.f32 (pow.f32 (PI.f32) 6) -240))) (log.f32 (sqrt.f32 (E.f32)))))
(+.f32 (fma.f32 (fma.f32 12 (-.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 4) 8/3) 1) (/.f32 (pow.f32 (.f32 (sqrt.f32 (E.f32)) (neg.f32 (pow.f32 (PI.f32) 2))) 2) (E.f32))) (.f32 -12 (pow.f32 (PI.f32) 4))) (.f32 1/24 (pow.f32 u2 4)) (.f32 (.f32 u2 u2) (neg.f32 (pow.f32 (PI.f32) 2)))) (fma.f32 (.f32 1/720 (pow.f32 u2 6)) (fma.f32 360 (+.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 6) -124/45) 1) (.f32 (-.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 4) 8/3) 1) (/.f32 (pow.f32 (.f32 (sqrt.f32 (E.f32)) (neg.f32 (pow.f32 (PI.f32) 2))) 2) (E.f32))) (pow.f32 (PI.f32) 2))) (fma.f32 360 (.f32 (-.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 4) 8/3) 1) (/.f32 (pow.f32 (.f32 (sqrt.f32 (E.f32)) (neg.f32 (pow.f32 (PI.f32) 2))) 2) (E.f32))) (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 (PI.f32) 6) -240))) (log.f32 (sqrt.f32 (E.f32)))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(.f32 1/2 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))
(.f32 2 (.f32 (.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 -1)))
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(.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 0 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))))) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))) (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))))
(.f32 3 (log.f32 (cbrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (exp.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))))))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) 1)
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 1 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
(.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))) (.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))))
(.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2) (cbrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/4) (.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/4) (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1/4)) (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1/4))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))) (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
(.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))) (.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))))
(pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (exp.f32 2) (.f32 1/2 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) 1/2)
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3) 1/3)
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (exp.f32 1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (exp.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 2)) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)) (cbrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2)) (cbrt.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))) 2)) (cbrt.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log.f32 (exp.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(expm1.f32 (log1p.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (expm1.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))

eval873.0ms (5.6%)

Compiler: Compiled 28519 to 18395 computations (35.5% saved)

prune442.0ms (2.8%)

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	892	18	910
Fresh	14	21	35
Picked	1	0	1
Done	3	6	9
Total	910	45	955

Accurracy

99.9%

Counts

955 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	67.6%	(+.f32 (sqrt.f32 u1) (.f32 -2 (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
▶	59.9%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	60.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	74.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) 1)
	73.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) 1)
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	70.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
	98.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 (neg.f32 u1) 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	99.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	78.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) 1)
✓	57.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	75.3%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	70.9%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	75.2%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1))))
	88.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))
	97.4%	(.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 u2))))) 3)))
	97.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))
	77.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (E.f32)))))
	93.9%	(.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 u2))))))))
	97.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (fma.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) -1)))
	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (log.f32 (exp.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
▶	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	78.9%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
✓	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	50.2%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	75.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))))
	60.2%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	60.9%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	71.1%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
	60.9%	(sqrt.f32 (log1p.f32 u1))
	36.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
▶	62.4%	(sqrt.f32 u1)

Compiler

Compiled 1433 to 1210 computations (15.6% saved)

localize69.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(log1p.f32 (*.f32 u1 (neg.f32 u1)))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.0%	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))

Compiler

Compiled 78 to 26 computations (66.7% saved)

series46.0ms (0.3%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(log1p.f32 (*.f32 u1 (neg.f32 u1)))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`prod-diff`
688×	`fma-def`
620×	`expm1-udef`
618×	`log1p-udef`
394×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	97
1	391	81
2	4951	81

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

Inputs

(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))

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

(log1p.f32 (*.f32 u1 (neg.f32 u1)))

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

simplify206.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1344×	`unswap-sqr`
1278×	`fma-neg`
878×	`cancel-sign-sub-inv`
580×	`sub-neg`
514×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	9674
1	1172	8704
2	3964	8574

Stop Event

1×	node limit

Counts

216 → 309

Calls

Call 1

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

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

localize15.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize36.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f32 u1)
✓	98.8%	(pow.f32 (log1p.f32 u1) 3/2)
✓	95.7%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)

Compiler

Compiled 27 to 19 computations (29.6% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
3.0ms	u1	@	-inf	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
1.0ms	u1	@	0	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (log1p.f32 u1) 3/2)
1.0ms	u1	@	inf	(pow.f32 (log1p.f32 u1) 3/2)

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`pow1`
1380×	`add-exp-log`
1380×	`log1p-expm1-u`
1380×	`expm1-log1p-u`
1350×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	193	25
2	2052	25

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (log1p.f32 u1) 3/2)
(log1p.f32 u1)

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

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

688×	`unswap-sqr`
640×	`distribute-rgt-in`
630×	`associate-+l+`
614×	`distribute-lft-in`
530×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	4294973740
1	993	5668
2	3506	4826

Stop Event

1×	node limit

Counts

92 → 193

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (.f32 1/3 (.f32 (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 (sqrt.f32 -1) 1/3) (.f32 (sqrt.f32 1) (.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))))) (+.f32 (.f32 -1/8 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6))))))))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 3))))) (.f32 1/3 (/.f32 (-.f32 (.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 1/4 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (.f32 1/2 (.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1/3 (/.f32 (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (.f32 -1/8 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (.f32 -1 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (-.f32 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))))))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 3)))))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (.f32 1/4 (-.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (/.f32 (.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2)))))
(+.f32 (.f32 3/2 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (.f32 -1 (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (.f32 -1/4 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 2 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (.f32 9/8 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 9/16 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.f32 (.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 2))))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.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))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(*.f32 1 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))
(.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 1 (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 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 2/3)
(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)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))

Outputs
(sqrt.f32 u1)
(+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 -1/4 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (.f32 1/3 (.f32 (-.f32 (.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (.f32 -1/2 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (+.f32 (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)) (.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) -63/128) (fma.f32 -1/64 (sqrt.f32 (pow.f32 u1 7)) (.f32 -1/2 (.f32 (+.f32 (.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6))) (cbrt.f32 (.f32 u1 u1))))))))))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) -63/128) (fma.f32 -1/64 (sqrt.f32 (pow.f32 u1 7)) (.f32 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16)) (.f32 -1/2 (cbrt.f32 (*.f32 u1 u1))))))) (sqrt.f32 u1))))
(fma.f32 1/3 (.f32 u1 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 1/3 (.f32 u1 (.f32 u1 (+.f32 (fma.f32 -63/128 (pow.f32 u1 3/2) (.f32 (pow.f32 u1 7/2) 1/64)) (.f32 (fma.f32 19/32 (pow.f32 u1 3/2) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16)) (.f32 (cbrt.f32 (*.f32 u1 u1)) 1/2))))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
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(*.f32 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)))
(sqrt.f32 (log1p.f32 u1))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 1 (pow.f32 (log1p.f32 u1) 3/2))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(.f32 (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 4))
(.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (pow.f32 (log1p.f32 u1) 3/2) 0)
(pow.f32 (log1p.f32 u1) 3/2)
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (log1p.f32 u1) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 1 (log1p.f32 u1))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 5/2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 3/4))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 5/2))
(pow.f32 (log1p.f32 u1) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 2/3)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(log.f32 (+.f32 u1 1))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)

localize118.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.3%	(*.f32 3 (log1p.f32 (neg.f32 u1)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	98.7%	(.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1))))

Compiler

Compiled 73 to 46 computations (37% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	inf	(*.f32 3 (log1p.f32 (neg.f32 u1)))
0.0ms	u1	@	-inf	(*.f32 3 (log1p.f32 (neg.f32 u1)))

rewrite122.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`log-prod`
932×	`prod-diff`
594×	`expm1-udef`
590×	`log1p-udef`
496×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	410	49
2	4596	49

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs
(+.f32 0 (log1p.f32 u1))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (+.f32 u1 1)) (cbrt.f32 (+.f32 u1 1)))) (log.f32 (cbrt.f32 (+.f32 u1 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 u1 1))) (log.f32 (sqrt.f32 (+.f32 u1 1))))
(-.f32 0 (log1p.f32 u1))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(+.f32 0 (*.f32 3 (log1p.f32 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (+.f32 u1 1) 3)) (cbrt.f32 (pow.f32 (+.f32 u1 1) 3)))) (log.f32 (cbrt.f32 (pow.f32 (+.f32 u1 1) 3))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) 3))) (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) 3))))
(-.f32 0 (*.f32 3 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 3 (log1p.f32 u1)))) 1)
(pow.f32 (*.f32 3 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (*.f32 3 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (*.f32 3 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 3 (log1p.f32 u1))) 2)
(neg.f32 (*.f32 3 (log1p.f32 u1)))
(sqrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) 9))
(log.f32 (pow.f32 (+.f32 u1 1) 3))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 3 (log1p.f32 u1)))))
(log.f32 (/.f32 1 (pow.f32 (+.f32 u1 1) 3)))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (*.f32 3 (log1p.f32 u1))))))
(log.f32 (/.f32 1 (/.f32 1 (pow.f32 (+.f32 u1 1) 3))))
(cbrt.f32 (pow.f32 (*.f32 3 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (*.f32 3 (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 3 (log1p.f32 u1))))
(exp.f32 (.f32 (log.f32 (.f32 3 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (*.f32 3 (log1p.f32 u1))))
(+.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 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1194×	`unswap-sqr`
986×	`distribute-rgt-in`
982×	`distribute-lft-in`
424×	`associate-+r+`
402×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4751
1	833	4223
2	2974	3869

Stop Event

1×	node limit

Counts

105 → 211

Calls

Call 1

Inputs
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(+.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 -3 u1)
(+.f32 (.f32 -3/2 (pow.f32 u1 2)) (.f32 -3 u1))
(+.f32 (.f32 -3/2 (pow.f32 u1 2)) (+.f32 (.f32 -1 (pow.f32 u1 3)) (*.f32 -3 u1)))
(+.f32 (.f32 -3/2 (pow.f32 u1 2)) (+.f32 (.f32 -3/4 (pow.f32 u1 4)) (+.f32 (.f32 -1 (pow.f32 u1 3)) (.f32 -3 u1))))
(.f32 3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 3 (/.f32 1 u1)))
(-.f32 (.f32 3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 3 (/.f32 1 u1)) (.f32 3/2 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (.f32 3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 3 (/.f32 1 u1)) (+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 (pow.f32 u1 3)))))
(*.f32 -3 (log.f32 (/.f32 -1 u1)))
(-.f32 (.f32 -3 (log.f32 (/.f32 -1 u1))) (.f32 3 (/.f32 1 u1)))
(-.f32 (.f32 -3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 3 (/.f32 1 u1)) (*.f32 3/2 (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (.f32 -3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 3 (/.f32 1 u1)) (+.f32 (*.f32 3/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 (pow.f32 u1 3)))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.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)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.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)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (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 (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 (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 (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 (log.f32 (-.f32 1 u1))))
(+.f32 0 (log1p.f32 u1))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (+.f32 u1 1)) (cbrt.f32 (+.f32 u1 1)))) (log.f32 (cbrt.f32 (+.f32 u1 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 u1 1))) (log.f32 (sqrt.f32 (+.f32 u1 1))))
(-.f32 0 (log1p.f32 u1))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(+.f32 0 (*.f32 3 (log1p.f32 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (+.f32 u1 1) 3)) (cbrt.f32 (pow.f32 (+.f32 u1 1) 3)))) (log.f32 (cbrt.f32 (pow.f32 (+.f32 u1 1) 3))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) 3))) (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) 3))))
(-.f32 0 (*.f32 3 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 3 (log1p.f32 u1)))) 1)
(pow.f32 (*.f32 3 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (*.f32 3 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (*.f32 3 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 3 (log1p.f32 u1))) 2)
(neg.f32 (*.f32 3 (log1p.f32 u1)))
(sqrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) 9))
(log.f32 (pow.f32 (+.f32 u1 1) 3))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 3 (log1p.f32 u1)))))
(log.f32 (/.f32 1 (pow.f32 (+.f32 u1 1) 3)))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (*.f32 3 (log1p.f32 u1))))))
(log.f32 (/.f32 1 (/.f32 1 (pow.f32 (+.f32 u1 1) 3))))
(cbrt.f32 (pow.f32 (*.f32 3 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (*.f32 3 (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 3 (log1p.f32 u1))))
(exp.f32 (.f32 (log.f32 (.f32 3 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (*.f32 3 (log1p.f32 u1))))
(+.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 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

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

localize72.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(log1p.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)))
✓	99.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
✓	99.2%	(expm1.f32 (log1p.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2))))
	99.1%	(*.f32 (PI.f32) u2)

Compiler

Compiled 64 to 30 computations (53.1% saved)

series74.0ms (0.5%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
57.0ms	u2	@	-inf	(log1p.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)))
15.0ms	u2	@	inf	(log1p.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)))
1.0ms	u2	@	0	(log1p.f32 (cos.f32 (.f32 (.f32 (PI.f32) u2) 2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`log-prod`
858×	`prod-diff`
738×	`pow-prod-up`
646×	`pow-exp`
530×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	341	75
2	4010	75

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))

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

(log1p.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1140×	`unswap-sqr`
876×	`associate-+r+`
858×	`associate-+l+`
532×	`associate-r`
490×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	5938
1	862	5476
2	3509	5156

Stop Event

1×	node limit

Counts

126 → 190

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.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 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.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)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.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)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (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 (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 (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 (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 (log.f32 (-.f32 1 u1))))
(log.f32 2)
(+.f32 (log.f32 2) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (log.f32 2) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4))))) (.f32 -1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/720 (.f32 (+.f32 (.f32 240 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -240 (pow.f32 (PI.f32) 6)) (.f32 -32 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6))) (+.f32 (log.f32 2) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -12 (pow.f32 (PI.f32) 4)) (.f32 8 (pow.f32 (PI.f32) 4))))) (.f32 -1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.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)) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)
(+.f32 0 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))
(+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1)))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1)
(-.f32 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (.f32 (PI.f32) u2))))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 1 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (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 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (+.f32 1 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) 1) (+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1))
(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(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)))
(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))
(exp.f32 (.f32 (.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(fma.f32 1 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)
(fma.f32 (.f32 (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))) (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (sqrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) -1)
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(+.f32 0 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 2))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 0 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)))) (log.f32 (cbrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))) (log.f32 (sqrt.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))))
(-.f32 (log1p.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (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 (log.f32 (-.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))) (log.f32 (-.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.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 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 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 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))
(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))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 3))
(exp.f32 (.f32 (log.f32 (pow.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3)) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 2))

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

eval928.0ms (5.9%)

Compiler: Compiled 30671 to 20396 computations (33.5% saved)

prune371.0ms (2.4%)

Pruning

47 alts after pruning (38 fresh and 9 done)

	Pruned	Kept	Total
New	967	13	980
Fresh	9	25	34
Picked	1	0	1
Done	1	9	10
Total	978	47	1025

Accurracy

99.9%

Counts

1025 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	67.6%	(+.f32 (sqrt.f32 u1) (.f32 -2 (.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
✓	59.9%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	60.8%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	61.4%	(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
	27.3%	(*.f32 (pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3) 1)
	53.2%	(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
	54.1%	(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
	74.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2))) u1))) 1)
	73.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) 1)
	91.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	87.6%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	70.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
✓	57.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (fma.f32 u1 -3 (.f32 u1 (.f32 u1 -3/2)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	91.3%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (+.f32 (.f32 u1 -3) (.f32 (.f32 u1 u1) (-.f32 -3/2 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	87.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 (+.f32 -3 (.f32 u1 -3/2)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.3%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 u1 -3)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	98.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	74.8%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	75.2%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	97.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1) (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (+.f32 1 (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1)))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) 1) (+.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1)))
	98.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (+.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 2 (pow.f32 (+.f32 1 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 2)))))
	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))
	88.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
	96.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 3 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))
	97.4%	(.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 u2))))) 3)))
	97.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))
	77.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (log.f32 (sqrt.f32 (E.f32)))))
✓	99.0%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.9%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	99.1%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (-.f32 (fma.f32 (PI.f32) u2 1) 1))))
✓	99.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	78.9%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	58.4%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
✓	58.7%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	50.2%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	75.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (*.f32 2 u2) (PI.f32))))
	60.2%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	78.9%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	71.1%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
	60.9%	(sqrt.f32 (log1p.f32 u1))
	36.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
✓	62.4%	(sqrt.f32 u1)

Compiler

Compiled 844 to 724 computations (14.2% saved)

regimes393.0ms (2.5%)

Counts

85 → 1

Calls

Call 1

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

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

Calls

10 calls:

67.0ms	(log.f32 (-.f32 1 u1))
65.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
34.0ms	(.f32 (.f32 2 (PI.f32)) u2)
34.0ms	u1
33.0ms	cosTheta_i

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 1342 to 790 computations (41.1% saved)

regimes311.0ms (2%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

9 calls:

83.0ms	u1
63.0ms	(.f32 (.f32 2 (PI.f32)) u2)
39.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
24.0ms	u2
22.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
91.6%	1	`cosTheta_i`
96.4%	2	`u1`
96.3%	2	`u2`
96.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
96.4%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
96.4%	2	`(log.f32 (-.f32 1 u1))`
96.4%	2	`(-.f32 1 u1)`
96.3%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
96.3%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 380 to 272 computations (28.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05985007807612419	0.06199100613594055

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes187.0ms (1.2%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

9 calls:

48.0ms	(-.f32 1 u1)
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
21.0ms	u2
21.0ms	u1
19.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
87.6%	1	`cosTheta_i`
94.4%	2	`u1`
94.7%	2	`u2`
94.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
94.4%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
94.4%	2	`(log.f32 (-.f32 1 u1))`
94.4%	2	`(-.f32 1 u1)`
94.7%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
94.7%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 307 to 222 computations (27.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00254856632091105	0.0027102406602352858

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes167.0ms (1.1%)

Counts

23 → 2

Calls

Call 1

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

Calls

9 calls:

26.0ms	(log.f32 (-.f32 1 u1))
26.0ms	(-.f32 1 u1)
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
19.0ms	u1
19.0ms	u2

Results

Accuracy	Segments	Branch
78.9%	1	`cosTheta_i`
89.1%	2	`u1`
90.6%	2	`u2`
89.1%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
89.1%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
89.1%	2	`(log.f32 (-.f32 1 u1))`
89.1%	2	`(-.f32 1 u1)`
90.6%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
90.6%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 257 to 187 computations (27.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006555473431944847	0.007722536101937294

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes52.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	u2
8.0ms	(log.f32 (-.f32 1 u1))
8.0ms	cosTheta_i
7.0ms	u1
7.0ms	(-.f32 1 u1)

Results

Accuracy	Segments	Branch
78.9%	1	`cosTheta_i`
78.9%	1	`u1`
78.9%	1	`u2`
78.9%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
78.9%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
78.9%	1	`(log.f32 (-.f32 1 u1))`
78.9%	1	`(-.f32 1 u1)`

Compiler

Compiled 172 to 128 computations (25.6% saved)

regimes15.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) 1)

Calls

3 calls:

5.0ms	cosTheta_i
4.0ms	u2
4.0ms	u1

Results

Accuracy	Segments	Branch
73.7%	1	`cosTheta_i`
73.7%	1	`u1`
73.7%	1	`u2`

Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes10.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	u2
3.0ms	u1
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
70.8%	1	`cosTheta_i`
70.8%	1	`u1`
70.8%	1	`u2`

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

3.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
62.4%	1	`cosTheta_i`
62.4%	1	`u1`
62.4%	1	`u2`

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

216×	`unsub-neg`
144×	`neg-mul-1`
140×	`distribute-lft-neg-in`
76×	`*-commutative`
76×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	404
1	121	404
2	149	404
3	197	388
4	262	388
5	341	388
6	492	388
7	621	388
8	668	388
9	686	388
10	689	388
11	699	388

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 (neg.f32 (log.f32 (-.f32 1 u1))) 16106127/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 11166915/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 2 u2) (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
(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 (neg.f32 (log.f32 (-.f32 1 u1))) 16106127/268435456) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 1 u1))) 16106127/268435456) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))) u1)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 1 u1))) 16106127/268435456) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(if (<=.f32 (neg.f32 (log.f32 (-.f32 1 u1))) 16106127/268435456) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3)))))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 11166915/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 11166915/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (.f32 (*.f32 u1 u1) -1/2) u1)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 11166915/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (.f32 (*.f32 u1 u1) (neg.f32 -1/2))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 11166915/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (.f32 (*.f32 u1 u1) -1/2)))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 7516193/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (.f32 2 u2) (PI.f32)))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 7516193/1073741824) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 -1/3) -1/2)) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))
(sqrt.f32 (+.f32 u1 (neg.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))))))
(sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))
(sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))
(sqrt.f32 u1)

Compiler

Compiled 149 to 117 computations (21.5% saved)

soundness1.1s (7.2%)

Rules

1506×	`log-prod`
1506×	`log-prod`
1344×	`unswap-sqr`
1326×	`unswap-sqr`
1278×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	29	41
2	42	41
3	53	41
4	64	41
5	78	41
6	96	41
7	123	41
8	154	41
9	169	41
10	193	41
11	211	41
12	246	41
13	261	41
14	266	41
15	267	41
0	497	7191
1	1224	6547
2	4843	6481
0	122	760
1	308	690
2	940	674
3	4961	674
0	122	760
1	308	690
2	940	674
3	4961	674
0	92	1213
1	211	1163
2	625	1091
3	4218	1081
4	7025	1081
0	497	7191
1	1224	6547
2	4843	6481
0	17	88
1	340	80
2	4100	80
0	445	9071
1	1186	7769
2	4236	7137
0	17	88
1	340	80
2	4100	80
0	497	7191
1	1224	6547
2	4843	6481
0	457	9674
1	1172	8704
2	3964	8574

Stop Event

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

Compiler

Compiled 1285 to 934 computations (27.3% saved)

end107.0ms (0.7%)

Compiler: Compiled 128 to 77 computations (39.8% saved)

Iter	Nodes	Cost
0	33	172
1	62	164
2	101	164
3	128	164
4	159	164
5	195	164
6	235	164
7	323	164
8	499	164
9	541	164
10	599	164
11	639	164
12	722	164
13	763	164
14	778	164
15	781	164
0	3	3

Iter	Nodes	Cost
0	17	43
1	29	41
2	42	41
3	53	41
4	64	41
5	78	41
6	96	41
7	123	41
8	154	41
9	169	41
10	193	41
11	211	41
12	246	41
13	261	41
14	266	41
15	267	41

Iter	Nodes	Cost
0	73	404
1	121	404
2	149	404
3	197	388
4	262	388
5	341	388
6	492	388
7	621	388
8	668	388
9	686	388
10	689	388
11	699	388

Iter	Nodes	Cost
0	33	172
1	62	164
2	101	164
3	128	164
4	159	164
5	195	164
6	235	164
7	323	164
8	499	164
9	541	164
10	599	164
11	639	164
12	722	164
13	763	164
14	778	164
15	781	164
0	3	3

Iter	Nodes	Cost
0	17	43
1	29	41
2	42	41
3	53	41
4	64	41
5	78	41
6	96	41
7	123	41
8	154	41
9	169	41
10	193	41
11	211	41
12	246	41
13	261	41
14	266	41
15	267	41

Iter	Nodes	Cost
0	73	404
1	121	404
2	149	404
3	197	388
4	262	388
5	341	388
6	492	388
7	621	388
8	668	388
9	686	388
10	689	388
11	699	388

Iter	Nodes	Cost
0	33	172
1	62	164
2	101	164
3	128	164
4	159	164
5	195	164
6	235	164
7	323	164
8	499	164
9	541	164
10	599	164
11	639	164
12	722	164
13	763	164
14	778	164
15	781	164
0	3	3

Iter	Nodes	Cost
0	17	43
1	29	41
2	42	41
3	53	41
4	64	41
5	78	41
6	96	41
7	123	41
8	154	41
9	169	41
10	193	41
11	211	41
12	246	41
13	261	41
14	266	41
15	267	41

Iter	Nodes	Cost
0	73	404
1	121	404
2	149	404
3	197	388
4	262	388
5	341	388
6	492	388
7	621	388
8	668	388
9	686	388
10	689	388
11	699	388