Details

analyze206.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample3.3s (18.3%)

Results

3.3s	8256×	body	256	valid
1.0ms	4×	body	256	precondition

Bogosity

preprocess82.0ms (0.5%)

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)

simplify68.0ms (0.4%)

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

98.8%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	59.6%	(.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)

localize99.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	57.8%	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series44.0ms (0.2%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
10.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
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)))

rewrite88.0ms (0.5%)

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)))))

simplify164.0ms (0.9%)

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))))))

localize78.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	99.5%	(cos.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	99.5%	(.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))))

rewrite89.0ms (0.5%)

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))))

simplify114.0ms (0.6%)

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))

eval469.0ms (2.6%)

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

prune186.0ms (1%)

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	512	36	548
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	512	38	550

Accurracy

99.8%

Counts

550 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	73.0%	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	72.9%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	58.5%	(.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	98.2%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	89.9%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	85.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 -1/2 (.f32 u1 u1)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	98.7%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	58.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	57.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	56.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.2%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	98.6%	(.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))))
	98.6%	(.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)))
	97.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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))))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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)))))
	96.2%	(.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)))))))))
	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
▶	77.8%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	59.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
✓	59.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	49.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
	71.3%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	72.0%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	73.2%	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	73.2%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))

Compiler

Compiled 1463 to 1195 computations (18.3% saved)

localize99.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(log1p.f32 (*.f32 u1 (neg.f32 u1)))
✓	99.5%	(.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)
✓	99.1%	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))

Compiler

Compiled 78 to 26 computations (66.7% saved)

series42.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	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)))
2.0ms	u1	@	inf	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
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)))

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)))
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(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)))
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(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))

simplify198.0ms (1.1%)

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

localize34.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f32 (neg.f32 u1))
	99.6%	(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))

rewrite46.0ms (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))

simplify55.0ms (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)

localize83.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
✓	99.5%	(cos.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	99.3%	(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
✓	99.1%	(.f32 (PI.f32) (.f32 u2 2))

Compiler

Compiled 54 to 36 computations (33.3% saved)

series4.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(pow.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
0.0ms	u1	@	0	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
0.0ms	u2	@	0	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
0.0ms	u2	@	inf	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))
0.0ms	u1	@	inf	(.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`log-prod`
828×	`pow-prod-down`
792×	`prod-diff`
678×	`pow-prod-up`
578×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	278	94
2	3166	94

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

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

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

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

974×	`log-prod`
920×	`times-frac`
802×	`fma-neg`
780×	`associate-+r+`
740×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	351	5577
1	800	5407
2	2600	4989
3	7570	4985

Stop Event

1×	node limit

Counts

163 → 208

Calls

Call 1

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

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

localize114.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.4%	(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	98.6%	(*.f32 -1/3 (pow.f32 u1 3))

Compiler

Compiled 105 to 68 computations (35.2% saved)

series6.0ms (0%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(*.f32 -1/3 (pow.f32 u1 3))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`prod-diff`
774×	`expm1-udef`
470×	`add-sqr-sqrt`
448×	`pow1`
446×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	105
1	478	101
2	5710	101

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs

(*.f32 -1/3 (pow.f32 u1 3))

(fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3)))

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

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

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`fma-neg`
1168×	`fma-def`
1026×	`log-prod`
878×	`unswap-sqr`
696×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	3321
1	413	3137
2	1570	2955
3	6629	2955

Stop Event

1×	node limit

Counts

75 → 93

Calls

Call 1

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

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

localize70.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.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)
✓	99.1%	(log1p.f32 (log1p.f32 (neg.f32 u1)))
✓	58.0%	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)

Compiler

Compiled 76 to 37 computations (51.3% saved)

series39.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	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)))
3.0ms	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)))
2.0ms	u1	@	inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)
1.0ms	u1	@	-inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)

rewrite92.0ms (0.5%)

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))))))

simplify111.0ms (0.6%)

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))
(-.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 (+.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))
(*.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 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))))) (pow.f32 u1 2))) (/.f32 1 u1))
(-.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/6 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (.f32 2 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))))))))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))))) (pow.f32 u1 2)))) (/.f32 1 u1))
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1 (pow.f32 u1 2)))
(+.f32 (.f32 -7/6 (pow.f32 u1 3)) (+.f32 (.f32 -1 u1) (*.f32 -1 (pow.f32 u1 2))))
(+.f32 (.f32 -7/6 (pow.f32 u1 3)) (+.f32 (.f32 -1 u1) (+.f32 (.f32 -35/24 (pow.f32 u1 4)) (.f32 -1 (pow.f32 u1 2)))))
(log.f32 (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(-.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) u1)))
(-.f32 (+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.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))))))) (pow.f32 u1 2)))) (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) u1)))
(-.f32 (+.f32 (log.f32 (+.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/6 (/.f32 (+.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))))) (pow.f32 u1 3))) (.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))))))) (pow.f32 u1 2))))) (/.f32 1 (.f32 (+.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) u1)))
(log.f32 (+.f32 1 (*.f32 -1 (log.f32 (/.f32 -1 u1)))))
(-.f32 (log.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (.f32 (+.f32 1 (*.f32 -1 (log.f32 (/.f32 -1 u1)))) u1)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (pow.f32 u1 2))) (log.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))) (/.f32 1 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) u1)))
(-.f32 (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (.f32 2 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))))) (pow.f32 u1 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (pow.f32 u1 2))) (log.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))))) (/.f32 1 (.f32 (+.f32 1 (*.f32 -1 (log.f32 (/.f32 -1 u1)))) 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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) 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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) 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 (+.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 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.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 (+.f32 (log.f32 -1) (.f32 -1 (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 (+.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 (+.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 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.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 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 -1/2 (/.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 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.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)))))))) (.f32 (sqrt.f32 -1) (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))) (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 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (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 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2) (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.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 (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/6 (+.f32 (.f32 2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2))) (.f32 2 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))))))))))) (.f32 1/2 (/.f32 (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2) (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))))) (log.f32 (/.f32 -1 u1))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.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))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2) (.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 -1/2 (+.f32 (/.f32 1 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1))))) (/.f32 1 (pow.f32 (+.f32 1 (.f32 -1 (log.f32 (/.f32 -1 u1)))) 2)))) (.f32 1/2 (/.f32 1 (pow.f32 (+.f32 1 (.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 (+.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))))))

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)))
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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)))

eval1.2s (6.8%)

Compiler: Compiled 33463 to 21960 computations (34.4% saved)

prune558.0ms (3.1%)

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	1092	20	1112
Fresh	6	25	31
Picked	0	1	1
Done	3	3	6
Total	1101	49	1150

Accurracy

99.8%

Counts

1150 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
	60.5%	(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
	72.9%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	60.5%	(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
	58.5%	(.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	89.9%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
▶	98.2%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	72.8%	(.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)
	85.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	69.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
	89.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	73.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) 1)
✓	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	58.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
▶	98.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	57.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	56.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.2%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	61.9%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
▶	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	98.6%	(.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))))
	98.6%	(.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)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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)))))
	96.2%	(.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)))))))))
	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	98.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
✓	77.8%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	59.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
✓	59.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	49.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
	71.3%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	59.3%	(.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))))
	59.9%	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
	60.6%	(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
	77.7%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	71.7%	(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
	71.3%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
	60.7%	(sqrt.f32 (log1p.f32 u1))
	35.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	73.2%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))

Compiler

Compiled 1642 to 1337 computations (18.6% saved)

localize140.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
	99.1%	(*.f32 (PI.f32) u2)
✓	99.0%	(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)))
✓	98.4%	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)

Compiler

Compiled 83 to 26 computations (68.7% saved)

series10.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(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)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`log-prod`
928×	`prod-diff`
596×	`expm1-udef`
594×	`log1p-udef`
394×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	151
1	399	107
2	4727	11

Stop Event

1×	node limit

Counts

3 → 25

Calls

Call 1

Inputs

(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)))

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

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

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

792×	`*-commutative`
672×	`distribute-rgt-in`
666×	`distribute-lft-in`
590×	`fma-neg`
586×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	4647
1	567	4079
2	2040	3805
3	7229	3805

Stop Event

1×	node limit

Counts

69 → 100

Calls

Call 1

Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
1
(+.f32 1 (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 1 (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(+.f32 1 (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (+.f32 (.f32 (pow.f32 u2 6) (-.f32 (+.f32 (.f32 -1/24 (pow.f32 (PI.f32) 6)) (.f32 -1/360 (pow.f32 (PI.f32) 6))) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))) (.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.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))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (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 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.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 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) u1))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (-.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 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)) (+.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 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (-.f32 (+.f32 (.f32 -1/24 (pow.f32 (PI.f32) 6)) (.f32 -1/360 (pow.f32 (PI.f32) 6))) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (.f32 (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
0
1
(+.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 0))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 0 (sqrt.f32 (log1p.f32 u1))))
(+.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)
(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)
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) 0))
(fma.f32 1 (sqrt.f32 (log1p.f32 u1)) (*.f32 0 (sqrt.f32 (log1p.f32 u1))))

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

localize51.0ms (0.3%)

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

localize42.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(log.f32 (log1p.f32 u1))
✓	99.1%	(*.f32 3/2 (log.f32 (log1p.f32 u1)))
✓	98.7%	(.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)
✓	96.6%	(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series6.0ms (0%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)
1.0ms	u1	@	inf	(.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)
1.0ms	u1	@	inf	(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
1.0ms	u1	@	-inf	(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
0.0ms	u1	@	-inf	(*.f32 3/2 (log.f32 (log1p.f32 u1)))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1804×	`pow1`
1658×	`add-exp-log`
1658×	`log1p-expm1-u`
1658×	`expm1-log1p-u`
1618×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	214	54
2	2334	54

Stop Event

1×	node limit

Counts

4 → 64

Calls

Call 1

Inputs
(exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
(.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(log.f32 (log1p.f32 u1))

Outputs
(+.f32 1 (expm1.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(-.f32 (+.f32 1 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 1 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (exp.f32 1/3) (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 3/2) (*.f32 (log.f32 (log1p.f32 u1)) 1/3))
(pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 3)
(pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) 2)
(pow.f32 (exp.f32 (sqrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))) (sqrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 2)) (cbrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(pow.f32 (exp.f32 1) (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(sqrt.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 2))
(log.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(log1p.f32 (expm1.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (log.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2)) (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(+.f32 0 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(-.f32 (+.f32 1 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 1)
(pow.f32 (cbrt.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 3)
(pow.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 2))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 3))
(expm1.f32 (log1p.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(exp.f32 (log.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(log1p.f32 (expm1.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(-.f32 (+.f32 1 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1)
(pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1)
(pow.f32 (cbrt.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (*.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2) 9/4))
(log.f32 (pow.f32 (log1p.f32 u1) 3/2))
(cbrt.f32 (pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 3))
(expm1.f32 (log1p.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log1p.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (log.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 0 (log.f32 (log1p.f32 u1)))
(-.f32 (+.f32 1 (log.f32 (log1p.f32 u1))) 1)
(*.f32 (log.f32 (log1p.f32 u1)) 1)
(*.f32 1 (log.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2) (cbrt.f32 (log.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) (sqrt.f32 (log.f32 (log1p.f32 u1))))
(pow.f32 (log.f32 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) 2)
(sqrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))
(cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (log.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (log.f32 (log1p.f32 u1))))
(log1p.f32 (-.f32 (log1p.f32 u1) 1))

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1006×	`unswap-sqr`
884×	`distribute-lft-in`
842×	`distribute-rgt-in`
794×	`times-frac`
654×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	5768
1	833	5056
2	3022	4800

Stop Event

1×	node limit

Counts

108 → 226

Calls

Call 1

Inputs
(*.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 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.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)))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (+.f32 (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 1/3 (.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))))) (pow.f32 u1 3)))))))
(*.f32 1/2 (log.f32 u1))
(+.f32 (.f32 1/2 (log.f32 u1)) (.f32 -1/4 u1))
(+.f32 (.f32 1/2 (log.f32 u1)) (+.f32 (.f32 -1/4 u1) (*.f32 5/48 (pow.f32 u1 2))))
(+.f32 (.f32 1/2 (log.f32 u1)) (+.f32 (.f32 -1/4 u1) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (.f32 5/48 (pow.f32 u1 2)))))
(.f32 1/2 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 1/2 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 1/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 u1)) u1))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (.f32 1/2 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1))))
(-.f32 (+.f32 (.f32 1/12 (/.f32 (-.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))))) (pow.f32 u1 3))) (+.f32 (.f32 1/4 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (.f32 1/2 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1))))
(.f32 1/2 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1))) (.f32 1/2 (log.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 -1/4 (/.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)))) (pow.f32 u1 2))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1))) (.f32 1/2 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (.f32 1/12 (/.f32 (+.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)))))) (pow.f32 u1 3))) (+.f32 (.f32 -1/4 (/.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)))) (pow.f32 u1 2))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1))) (.f32 1/2 (log.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(*.f32 3/2 (log.f32 u1))
(+.f32 (.f32 3/2 (log.f32 u1)) (.f32 -3/4 u1))
(+.f32 (.f32 5/16 (pow.f32 u1 2)) (+.f32 (.f32 3/2 (log.f32 u1)) (*.f32 -3/4 u1)))
(+.f32 (.f32 5/16 (pow.f32 u1 2)) (+.f32 (.f32 3/2 (log.f32 u1)) (+.f32 (.f32 -3/4 u1) (.f32 -3/16 (pow.f32 u1 3)))))
(.f32 3/2 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 3/2 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 3/2 (/.f32 1 (.f32 (log.f32 (/.f32 1 u1)) u1))))
(-.f32 (+.f32 (.f32 3/4 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (.f32 3/2 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 3/2 (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1))))
(-.f32 (+.f32 (.f32 1/4 (/.f32 (-.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))))) (pow.f32 u1 3))) (+.f32 (.f32 3/4 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (.f32 3/2 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))))) (.f32 3/2 (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1))))
(.f32 3/2 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 3/2 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1))) (.f32 3/2 (log.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (.f32 3/2 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -3/4 (/.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)))) (pow.f32 u1 2))) (.f32 3/2 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)))))
(+.f32 (.f32 3/2 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -3/4 (/.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)))) (pow.f32 u1 2))) (+.f32 (.f32 1/4 (/.f32 (+.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)))))) (pow.f32 u1 3))) (.f32 3/2 (/.f32 1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1))))))
(log.f32 u1)
(+.f32 (log.f32 u1) (*.f32 -1/2 u1))
(+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (.f32 -1/2 u1)))
(+.f32 (.f32 -1/8 (pow.f32 u1 3)) (+.f32 (.f32 5/24 (pow.f32 u1 2)) (+.f32 (log.f32 u1) (*.f32 -1/2 u1))))
(log.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 (.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(-.f32 (+.f32 (.f32 1/6 (/.f32 (-.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))))) (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (pow.f32 u1 2))) (log.f32 (.f32 -1 (log.f32 (/.f32 1 u1)))))) (/.f32 1 (*.f32 (log.f32 (/.f32 1 u1)) u1)))
(log.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (.f32 -1/2 (/.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)))) (pow.f32 u1 2)))))
(+.f32 (log.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (/.f32 1 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1)) (+.f32 (.f32 -1/2 (/.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)))) (pow.f32 u1 2))) (.f32 1/6 (/.f32 (+.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)))))) (pow.f32 u1 3))))))
(+.f32 1 (expm1.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(-.f32 (+.f32 1 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 1 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (exp.f32 1/3) (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 3/2) (*.f32 (log.f32 (log1p.f32 u1)) 1/3))
(pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 3)
(pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) 2)
(pow.f32 (exp.f32 (sqrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))) (sqrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 2)) (cbrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(pow.f32 (exp.f32 1) (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(sqrt.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 2))
(log.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(log1p.f32 (expm1.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (log.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2)) (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(+.f32 0 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(-.f32 (+.f32 1 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 1)
(pow.f32 (cbrt.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 3)
(pow.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 2))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 3))
(expm1.f32 (log1p.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(exp.f32 (log.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(log1p.f32 (expm1.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(-.f32 (+.f32 1 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1)
(pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1)
(pow.f32 (cbrt.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (*.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2) 9/4))
(log.f32 (pow.f32 (log1p.f32 u1) 3/2))
(cbrt.f32 (pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 3))
(expm1.f32 (log1p.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log1p.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(+.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (log.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 0 (log.f32 (log1p.f32 u1)))
(-.f32 (+.f32 1 (log.f32 (log1p.f32 u1))) 1)
(*.f32 (log.f32 (log1p.f32 u1)) 1)
(*.f32 1 (log.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2) (cbrt.f32 (log.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) (sqrt.f32 (log.f32 (log1p.f32 u1))))
(pow.f32 (log.f32 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) 2)
(sqrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))
(cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (log.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (log.f32 (log1p.f32 u1))))
(log1p.f32 (-.f32 (log1p.f32 u1) 1))

Outputs
(*.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 1 (.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 1 (*.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 1/2 (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (.f32 (sqrt.f32 -1) 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 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 1 (*.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))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (.f32 1/2 (.f32 (/.f32 1 (.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 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 -1/4 (.f32 -1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.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)))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (.f32 1/2 (+.f32 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (.f32 -1/2 (.f32 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (sqrt.f32 -1)) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (.f32 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (sqrt.f32 -1)) (/.f32 -1/2 (.f32 u1 u1))) (+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 1/6 (.f32 1/2 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
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(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (exp.f32 1/3) (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 3/2) (*.f32 (log.f32 (log1p.f32 u1)) 1/3))
(pow.f32 (exp.f32 3/2) (*.f32 1/3 (log.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 3)
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) 2)
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))) (sqrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(pow.f32 (exp.f32 (sqrt.f32 (.f32 1/2 (log.f32 (log1p.f32 u1))))) (sqrt.f32 (.f32 1/2 (log.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 2)) (cbrt.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (.f32 1/2 (log.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (.f32 1/2 (log.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 1) (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(pow.f32 (E.f32) (*.f32 1/2 (log.f32 (log1p.f32 u1))))
(sqrt.f32 (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 2))
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(log.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(expm1.f32 (log1p.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(log1p.f32 (expm1.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(+.f32 1 (-.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1))
(+.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 0)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(+.f32 (log.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)) (log.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6)))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) 2)) (log.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(+.f32 0 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(-.f32 (+.f32 1 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 1)
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 3)
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 3) 1/3)
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 2)
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(sqrt.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 2))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2) 3))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)))
(.f32 2 (.f32 1/6 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(log.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 1/2 (log.f32 (log1p.f32 u1)))
(-.f32 (+.f32 1 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1)
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1)
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 3)
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 3) 1/3)
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 2)
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(sqrt.f32 (*.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2) 9/4))
(fabs.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(log.f32 (pow.f32 (log1p.f32 u1) 3/2))
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 3))
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))))
(+.f32 1 (-.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(*.f32 3/2 (log.f32 (log1p.f32 u1)))
(log1p.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1))
(log1p.f32 (+.f32 (pow.f32 (log1p.f32 u1) 3/2) -1))
(log1p.f32 (+.f32 -1 (pow.f32 (log1p.f32 u1) 3/2)))
(+.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (log.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 3 (log.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 0 (log.f32 (log1p.f32 u1)))
(log.f32 (log1p.f32 u1))
(-.f32 (+.f32 1 (log.f32 (log1p.f32 u1))) 1)
(log.f32 (log1p.f32 u1))
(*.f32 (log.f32 (log1p.f32 u1)) 1)
(log.f32 (log1p.f32 u1))
(*.f32 1 (log.f32 (log1p.f32 u1)))
(log.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2))
(log.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 2) (cbrt.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) (sqrt.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(pow.f32 (log.f32 (log1p.f32 u1)) 1)
(log.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (log.f32 (log1p.f32 u1))) 3)
(log.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3) 1/3)
(log.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log.f32 (log1p.f32 u1))) 2)
(log.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 2))
(log.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (log.f32 (log1p.f32 u1)) 3))
(log.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (log.f32 (log1p.f32 u1))))
(log.f32 (log1p.f32 u1))
(log1p.f32 (-.f32 (log1p.f32 u1) 1))
(log1p.f32 (+.f32 (log1p.f32 u1) -1))
(log1p.f32 (+.f32 -1 (log1p.f32 u1)))

localize71.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	99.1%	(.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1))))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.0%	(*.f32 1/3 (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 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	inf	(*.f32 1/3 (log1p.f32 (neg.f32 u1)))
0.0ms	u1	@	0	(*.f32 1/3 (log1p.f32 (neg.f32 u1)))

rewrite97.0ms (0.5%)

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	4589	49

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

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

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`unswap-sqr`
886×	`distribute-rgt-in`
884×	`distribute-lft-in`
414×	`associate-+r+`
398×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	4815
1	836	4273
2	2991	3893

Stop Event

1×	node limit

Counts

105 → 208

Calls

Call 1

Inputs
(*.f32 -1/3 u1)
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (.f32 -1/3 u1))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (*.f32 -1/9 (pow.f32 u1 3))))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (+.f32 (.f32 -1/9 (pow.f32 u1 3)) (.f32 -1/12 (pow.f32 u1 4)))))
(.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 1/3 (/.f32 1 u1)))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (.f32 1/3 (/.f32 1 u1))))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/9 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (*.f32 1/3 (/.f32 1 u1)))))
(*.f32 -1/3 (log.f32 (/.f32 -1 u1)))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (.f32 1/3 (/.f32 1 u1)))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (*.f32 1/3 (/.f32 1 u1))))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/9 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (.f32 1/3 (/.f32 1 u1)))))
(*.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 (.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 (*.f32 1/3 (log1p.f32 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) (log1p.f32 u1))) (cbrt.f32 (pow.f32 (exp.f32 1/3) (log1p.f32 u1))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) (log1p.f32 u1)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/3) (log1p.f32 u1)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/3) (log1p.f32 u1)))))
(-.f32 0 (*.f32 1/3 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/3 (log1p.f32 u1)))) 1)
(pow.f32 (*.f32 1/3 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (*.f32 1/3 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (*.f32 1/3 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/3 (log1p.f32 u1))) 2)
(neg.f32 (*.f32 1/3 (log1p.f32 u1)))
(sqrt.f32 (*.f32 1/9 (pow.f32 (log1p.f32 u1) 2)))
(log.f32 (pow.f32 (exp.f32 1/3) (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/3 (log1p.f32 u1)))))
(log.f32 (/.f32 1 (pow.f32 (exp.f32 1/3) (log1p.f32 u1))))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (*.f32 1/3 (log1p.f32 u1))))))
(log.f32 (/.f32 1 (/.f32 1 (pow.f32 (exp.f32 1/3) (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (*.f32 1/3 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (*.f32 1/3 (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 1/3 (log1p.f32 u1))))
(exp.f32 (.f32 (log.f32 (.f32 1/3 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (*.f32 1/3 (log1p.f32 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 (hypot.f32 1 (sqrt.f32 u1))) (log.f32 (hypot.f32 1 (sqrt.f32 u1))))
(-.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 (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 -1/3 u1)
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (.f32 -1/3 u1))
(fma.f32 -1/6 (.f32 u1 u1) (.f32 -1/3 u1))
(fma.f32 -1/3 u1 (.f32 u1 (.f32 u1 -1/6)))
(.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (*.f32 -1/9 (pow.f32 u1 3))))
(fma.f32 -1/6 (.f32 u1 u1) (fma.f32 -1/3 u1 (.f32 -1/9 (pow.f32 u1 3))))
(fma.f32 -1/6 (.f32 u1 u1) (fma.f32 -1/9 (pow.f32 u1 3) (.f32 -1/3 u1)))
(+.f32 (.f32 -1/6 (pow.f32 u1 2)) (+.f32 (.f32 -1/3 u1) (+.f32 (.f32 -1/9 (pow.f32 u1 3)) (.f32 -1/12 (pow.f32 u1 4)))))
(fma.f32 -1/6 (.f32 u1 u1) (fma.f32 -1/3 u1 (fma.f32 -1/9 (pow.f32 u1 3) (.f32 -1/12 (pow.f32 u1 4)))))
(.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(*.f32 1/3 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))
(*.f32 1/3 (+.f32 (log.f32 -1) (log.f32 u1)))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (*.f32 1/3 (/.f32 1 u1)))
(-.f32 (*.f32 1/3 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (/.f32 1/3 u1))
(fma.f32 1/3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1/3 u1))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (.f32 1/3 (/.f32 1 u1))))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (+.f32 (/.f32 1/3 u1) (/.f32 1/6 (.f32 u1 u1))))
(-.f32 (fma.f32 1/3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1/3 u1)) (/.f32 1/6 (*.f32 u1 u1)))
(fma.f32 1/3 (+.f32 (log.f32 -1) (log.f32 u1)) (+.f32 (/.f32 -1/3 u1) (/.f32 -1/6 (*.f32 u1 u1))))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 1/9 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (*.f32 1/3 (/.f32 1 u1)))))
(-.f32 (.f32 1/3 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (+.f32 (+.f32 (/.f32 1/3 u1) (/.f32 1/6 (.f32 u1 u1))) (/.f32 1/9 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 1/3 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1/3 u1)) (/.f32 1/6 (*.f32 u1 u1))) (/.f32 1/9 (pow.f32 u1 3)))
(+.f32 (fma.f32 1/3 (+.f32 (log.f32 -1) (log.f32 u1)) (+.f32 (/.f32 -1/3 u1) (/.f32 -1/6 (*.f32 u1 u1)))) (/.f32 -1/9 (pow.f32 u1 3)))
(*.f32 -1/3 (log.f32 (/.f32 -1 u1)))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (.f32 1/3 (/.f32 1 u1)))
(-.f32 (*.f32 -1/3 (log.f32 (/.f32 -1 u1))) (/.f32 1/3 u1))
(fma.f32 -1/3 (log.f32 (/.f32 -1 u1)) (/.f32 -1/3 u1))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (*.f32 1/3 (/.f32 1 u1))))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1/3 u1) (/.f32 1/6 (.f32 u1 u1))))
(-.f32 (fma.f32 -1/3 (log.f32 (/.f32 -1 u1)) (/.f32 -1/3 u1)) (/.f32 1/6 (*.f32 u1 u1)))
(+.f32 (fma.f32 -1/3 (log.f32 (/.f32 -1 u1)) (/.f32 -1/3 u1)) (/.f32 -1/6 (*.f32 u1 u1)))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/9 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/6 (/.f32 1 (pow.f32 u1 2))) (.f32 1/3 (/.f32 1 u1)))))
(-.f32 (.f32 -1/3 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1/3 u1) (/.f32 1/6 (.f32 u1 u1))) (/.f32 1/9 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1/3 (log.f32 (/.f32 -1 u1)) (/.f32 -1/3 u1)) (/.f32 1/6 (*.f32 u1 u1))) (/.f32 1/9 (pow.f32 u1 3)))
(+.f32 (+.f32 (/.f32 -1/9 (pow.f32 u1 3)) (/.f32 -1/6 (*.f32 u1 u1))) (fma.f32 -1/3 (log.f32 (/.f32 -1 u1)) (/.f32 -1/3 u1)))
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (.f32 (.f32 u1 u1) -1/2))
(-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)
(.f32 u1 (+.f32 -1 (.f32 -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 (.f32 u1 u1) -1/2)))
(-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))) u1)
(-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 -1/3 u1))) 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 (.f32 u1 u1) -1/2))))
(-.f32 (fma.f32 (pow.f32 u1 4) -1/4 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))) u1)
(-.f32 (fma.f32 (pow.f32 u1 4) -1/4 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 -1/3 u1)))) 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 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.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 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (+.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 (/.f32 -1/2 (*.f32 u1 u1)) (/.f32 -1/3 (pow.f32 u1 3))) (+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (/.f32 -1 u1))))
(*.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) (/.f32 -1/2 (*.f32 u1 u1))) (log.f32 (/.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 (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))) (log.f32 (/.f32 -1 u1))) (/.f32 -1/3 (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 (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 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (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 (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 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(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))))) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (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 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(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) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (*.f32 1/4 (/.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 (.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)))))))))))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 1/3 (log1p.f32 u1)))) 1)
(*.f32 1/3 (log1p.f32 u1))
(pow.f32 (*.f32 1/3 (log1p.f32 u1)) 1)
(*.f32 1/3 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 1/3 (log1p.f32 u1))) 3)
(*.f32 1/3 (log1p.f32 u1))
(pow.f32 (pow.f32 (*.f32 1/3 (log1p.f32 u1)) 3) 1/3)
(*.f32 1/3 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 1/3 (log1p.f32 u1))) 2)
(*.f32 1/3 (log1p.f32 u1))
(neg.f32 (*.f32 1/3 (log1p.f32 u1)))
(*.f32 -1/3 (log1p.f32 u1))
(sqrt.f32 (*.f32 1/9 (pow.f32 (log1p.f32 u1) 2)))
(fabs.f32 (*.f32 1/3 (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 1/3) (log1p.f32 u1)))
(*.f32 1/3 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/3 (log1p.f32 u1)))))
(*.f32 1/3 (log1p.f32 u1))
(log.f32 (/.f32 1 (pow.f32 (exp.f32 1/3) (log1p.f32 u1))))
(*.f32 -1/3 (log1p.f32 u1))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (*.f32 1/3 (log1p.f32 u1))))))
(*.f32 -1/3 (log1p.f32 u1))
(log.f32 (/.f32 1 (/.f32 1 (pow.f32 (exp.f32 1/3) (log1p.f32 u1)))))
(*.f32 1/3 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 1/3 (log1p.f32 u1)) 3))
(*.f32 1/3 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (*.f32 1/3 (log1p.f32 u1))))
(*.f32 1/3 (log1p.f32 u1))
(exp.f32 (log.f32 (*.f32 1/3 (log1p.f32 u1))))
(*.f32 1/3 (log1p.f32 u1))
(exp.f32 (.f32 (log.f32 (.f32 1/3 (log1p.f32 u1))) 1))
(*.f32 1/3 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 1/3 (log1p.f32 u1))))
(*.f32 1/3 (log1p.f32 u1))
(+.f32 0 (log1p.f32 u1))
(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 (*.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 (hypot.f32 1 (sqrt.f32 u1))) (log.f32 (hypot.f32 1 (sqrt.f32 u1))))
(*.f32 2 (log.f32 (hypot.f32 1 (sqrt.f32 u1))))
(-.f32 0 (log1p.f32 u1))
(neg.f32 (log1p.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 (exp.f32 (log1p.f32 (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 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 3)) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (neg.f32 (log1p.f32 u1)) 1)
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 3)) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (neg.f32 (log1p.f32 u1)) 1)
(pow.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(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)
(neg.f32 (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 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(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 (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 2 (*.f32 u2 (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 (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)))
(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)))
(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)))
(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)))
(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)))
(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 2 (*.f32 u2 (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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))
(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)))

localize152.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	97.8%	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)

Compiler

Compiled 67 to 36 computations (46.3% saved)

series15.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
4.0ms	u1	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
4.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
0.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`log-prod`
932×	`prod-diff`
702×	`pow-exp`
550×	`expm1-udef`
548×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	387	38
2	4329	38

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (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 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 1 (log1p.f32 u1))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.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) 1/6) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 -1 (log1p.f32 u1))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(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))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 1) 3))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/3) 3))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2) 2))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1) 2))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3/2) 2))
(exp.f32 (.f32 (.f32 2/3 (log.f32 (log1p.f32 u1))) 3/2))
(exp.f32 (.f32 (.f32 2 (log.f32 (log1p.f32 u1))) 1/2))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 u1))) 1/3))
(log1p.f32 u1)
(+.f32 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))
(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))))))

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

892×	`unswap-sqr`
776×	`associate-r`
684×	`associate-l`
610×	`*-commutative`
600×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	9365
1	1377	8231
2	4958	7853

Stop Event

1×	node limit

Counts

101 → 164

Calls

Call 1

Inputs
(.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/9))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 2/9 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3) (/.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3) (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))))) (.f32 2/9 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 8)) 1/9)))) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))))))
(.f32 -1 (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3))) (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3)))) u1)) (.f32 -1 (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3))) (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3)))) u1)) (+.f32 (.f32 2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3) (/.f32 1 (pow.f32 u1 2))))) (+.f32 (.f32 -1 (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (pow.f32 u1 2)))) (.f32 (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (cbrt.f32 -1)))) (.f32 1/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))))) (pow.f32 u1 2)))))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3))) (.f32 2/3 (.f32 (pow.f32 (.f32 (pow.f32 (log.f32 (/.f32 -1 u1)) 4) (pow.f32 1 4)) 1/9) (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3)))) u1)) (+.f32 (.f32 2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3) (/.f32 1 (pow.f32 u1 2))))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (cbrt.f32 -1)))) (.f32 1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))))))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (-.f32 1/3 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 1/27 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))))) (+.f32 (.f32 (.f32 (+.f32 (.f32 -2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 8)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 8)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (-.f32 1/3 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))))) (.f32 1/27 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))) (cbrt.f32 -1))))) (cbrt.f32 -1)) (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3)) (.f32 -2/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 5)) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))))))))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 (.f32 (log.f32 (/.f32 -1 u1)) 1) 1/3) (/.f32 (.f32 (cbrt.f32 -1) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))) 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (cbrt.f32 -1)))) (.f32 1/9 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 -1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))))) (pow.f32 u1 2))) (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 -1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3)))) (pow.f32 u1 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 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 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 1 (log1p.f32 u1))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(.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) 1/6) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 -1 (log1p.f32 u1))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) 3) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(.f32 (.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(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))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 1) 3))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/3) 3))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2) 2))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1) 2))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))) 3/2) 2))
(exp.f32 (.f32 (.f32 2/3 (log.f32 (log1p.f32 u1))) 3/2))
(exp.f32 (.f32 (.f32 2 (log.f32 (log1p.f32 u1))) 1/2))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 u1))) 1/3))
(log1p.f32 u1)
(+.f32 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))
(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
(.f32 (pow.f32 1 1/3) (+.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 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
(fma.f32 -1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (+.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 (.f32 (/.f32 1 u1) (*.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) -2/3)))
(fma.f32 -1/3 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) -2/3 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) -1))
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eval837.0ms (4.7%)

Compiler: Compiled 30903 to 22179 computations (28.2% saved)

prune369.0ms (2.1%)

Pruning

61 alts after pruning (52 fresh and 9 done)

	Pruned	Kept	Total
New	865	19	884
Fresh	7	33	40
Picked	0	1	1
Done	0	8	8
Total	872	61	933

Accurracy

99.9%

Counts

933 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.6%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
	60.5%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
▶	60.5%	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
	72.9%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	53.3%	(.f32 (+.f32 1 (expm1.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))) 1)
	58.5%	(.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	89.9%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
	97.2%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	98.2%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	77.3%	(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
	72.8%	(.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)
	85.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	69.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
	89.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	73.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) 1)
✓	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	58.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	85.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	85.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (fma.f32 -1/6 (.f32 u1 u1) (.f32 -1/3 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	85.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	98.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	57.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	56.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.2%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	61.9%	(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
▶	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
✓	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	98.6%	(.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))))
	98.6%	(.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)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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)))))
	96.2%	(.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)))))))))
	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	77.8%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	59.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
✓	59.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	49.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
	59.9%	(.f32 (exp.f32 (fma.f32 1/2 (log.f32 u1) (.f32 u1 (+.f32 -1/4 (*.f32 u1 5/48))))) 1)
	59.9%	(.f32 (exp.f32 (+.f32 (.f32 1/2 (log.f32 u1)) (*.f32 -1/4 u1))) 1)
	59.3%	(.f32 (exp.f32 (.f32 (+.f32 (.f32 3/2 (log.f32 u1)) (.f32 -3/4 u1)) 1/3)) 1)
	60.5%	(.f32 (exp.f32 (.f32 (*.f32 (log.f32 u1) 3/2) 1/3)) 1)
	59.3%	(.f32 (exp.f32 (.f32 (.f32 3/2 (+.f32 (log.f32 u1) (.f32 u1 -1/2))) 1/3)) 1)
	71.3%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	59.3%	(.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))))
	61.1%	(.f32 (exp.f32 (.f32 1/2 (log.f32 u1))) 1)
	77.7%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	71.7%	(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
	71.3%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
	60.7%	(sqrt.f32 (log1p.f32 u1))
	35.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	60.6%	(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
	73.2%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))

Compiler

Compiled 1932 to 1586 computations (17.9% saved)

localize134.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.1%	(*.f32 (PI.f32) u2)
✓	99.0%	(fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	98.4%	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
✓	97.7%	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)

Compiler

Compiled 107 to 39 computations (63.6% saved)

series6.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	-inf	(fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
2.0ms	u2	@	inf	(fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
1.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
1.0ms	u2	@	0	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
1.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`prod-diff`
1294×	`log-prod`
652×	`pow-exp`
514×	`expm1-udef`
512×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	370	46
2	3753	10

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))

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)
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (.f32 (PI.f32) u2) 1)
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 1 (.f32 (PI.f32) u2))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))
(.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))
(.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))) 3) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3))
(.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 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) 1) (cbrt.f32 (.f32 (PI.f32) u2)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)) (cbrt.f32 (PI.f32))) (cbrt.f32 u2))
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (pow.f32 (.f32 (PI.f32) u2) 1/6)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))
(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 (.f32 (log.f32 (*.f32 (PI.f32) u2)) 1/3) 3))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 1) 3))
(exp.f32 (.f32 (.f32 2/3 (log.f32 (*.f32 (PI.f32) u2))) 3/2))
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 (PI.f32) u2))) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 3/2) 2))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
1

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1640×	`log-prod`
598×	`fma-def`
526×	`fma-neg`
516×	`exp-sum`
458×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	906
1	362	826
2	1107	754
3	3569	742
4	6578	742

Stop Event

1×	node limit

Counts

52 → 68

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 (-.f32 (.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 1 (.f32 (-.f32 (*.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 1 (+.f32 (.f32 (-.f32 (.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 6) (-.f32 (.f32 -1/720 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(-.f32 (cos.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (cos.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.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)
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (.f32 (PI.f32) u2) 1)
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 1 (.f32 (PI.f32) u2))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))
(.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))
(.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))) 3) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3))
(.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 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) 1) (cbrt.f32 (.f32 (PI.f32) u2)))
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)) (cbrt.f32 (PI.f32))) (cbrt.f32 u2))
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (pow.f32 (.f32 (PI.f32) u2) 1/6)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))
(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 (.f32 (log.f32 (*.f32 (PI.f32) u2)) 1/3) 3))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 1) 3))
(exp.f32 (.f32 (.f32 2/3 (log.f32 (*.f32 (PI.f32) u2))) 3/2))
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 (PI.f32) u2))) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 3/2) 2))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
1

Outputs
1
(+.f32 1 (.f32 (-.f32 (.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 1 (.f32 (fma.f32 -1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (PI.f32) 2))) (.f32 u2 u2)))
(fma.f32 (-.f32 (.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (.f32 u2 u2) 1)
(fma.f32 (.f32 (pow.f32 (PI.f32) 2) -3/2) (.f32 u2 u2) 1)
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 1 (.f32 (-.f32 (*.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 3/8) (+.f32 1 (.f32 (fma.f32 -1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (PI.f32) 2))) (*.f32 u2 u2))))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 3/8) (fma.f32 (-.f32 (.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (*.f32 u2 u2) 1))
(fma.f32 (.f32 (pow.f32 (PI.f32) 2) -3/2) (.f32 u2 u2) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 3/8) 1))
(fma.f32 (.f32 (pow.f32 (PI.f32) 2) -3/2) (.f32 u2 u2) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 4) 3/8 1))
(+.f32 (.f32 (pow.f32 u2 4) (-.f32 (.f32 1/24 (pow.f32 (PI.f32) 4)) (.f32 -1/3 (pow.f32 (PI.f32) 4)))) (+.f32 1 (+.f32 (.f32 (-.f32 (.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)) (.f32 (pow.f32 u2 6) (-.f32 (.f32 -1/720 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))))))))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 3/8) (+.f32 1 (fma.f32 (fma.f32 -1/2 (pow.f32 (PI.f32) 2) (neg.f32 (pow.f32 (PI.f32) 2))) (.f32 u2 u2) (.f32 (pow.f32 u2 6) (-.f32 (.f32 -1/720 (pow.f32 (PI.f32) 6)) (*.f32 (pow.f32 (PI.f32) 6) 2/45))))))
(+.f32 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 3/8) (fma.f32 (-.f32 (.f32 -1/2 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (.f32 u2 u2) 1)) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) -11/240)))
(fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 3/8) (fma.f32 (.f32 (pow.f32 (PI.f32) 2) -3/2) (.f32 u2 u2) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -11/240) 1)))
(fma.f32 (pow.f32 (.f32 (PI.f32) u2) 4) 3/8 (fma.f32 (.f32 (pow.f32 (PI.f32) 2) -3/2) (.f32 u2 u2) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -11/240) 1)))
(-.f32 (cos.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (cos.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))
(-.f32 (cos.f32 (.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (cos.f32 (.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))
(+.f32 0 (*.f32 (PI.f32) u2))
(*.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 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))
(*.f32 3 (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 (PI.f32) u2)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(.f32 (.f32 (PI.f32) u2) 1)
(*.f32 (PI.f32) u2)
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)))
(*.f32 (PI.f32) u2)
(.f32 1 (.f32 (PI.f32) u2))
(*.f32 (PI.f32) u2)
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))
(*.f32 (PI.f32) u2)
(.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))) (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))) 4))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) 4))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 7))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 u2) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(*.f32 (PI.f32) u2)
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (PI.f32) u2)
(.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
(.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))
(*.f32 (PI.f32) u2)
(.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))
(*.f32 (PI.f32) u2)
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (PI.f32) u2)
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))) 3) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) 3))
(*.f32 (PI.f32) u2)
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (PI.f32) u2)
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (PI.f32) u2)
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 (PI.f32) u2)
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) u2)
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) 1) (cbrt.f32 (.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)))) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))
(.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))) (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))) 4))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) 4))
(.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 7))
(.f32 (.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)) (cbrt.f32 (PI.f32))) (cbrt.f32 u2))
(*.f32 (PI.f32) u2)
(.f32 (.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2)) (pow.f32 (.f32 (PI.f32) u2) 1/6)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))
(*.f32 (PI.f32) u2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(*.f32 (PI.f32) u2)
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(*.f32 (PI.f32) u2)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) u2)
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(*.f32 (PI.f32) u2)
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 (PI.f32) u2)
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 (PI.f32) u2)
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(*.f32 (PI.f32) u2)
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 (PI.f32) u2)) 1) 1))
(*.f32 (PI.f32) u2)
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 (PI.f32) u2)) 1/3) 3))
(*.f32 (PI.f32) u2)
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 1) 3))
(*.f32 (PI.f32) u2)
(exp.f32 (.f32 (.f32 2/3 (log.f32 (*.f32 (PI.f32) u2))) 3/2))
(*.f32 (PI.f32) u2)
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 (PI.f32) u2))) 1/3))
(*.f32 (PI.f32) u2)
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))) 2))
(*.f32 (PI.f32) u2)
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 3/2) 2))
(*.f32 (PI.f32) u2)
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(*.f32 (PI.f32) u2)
1

localize43.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)
✓	99.5%	(sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))

Compiler

Compiled 49 to 33 computations (32.7% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))
0.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))
0.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)))
0.0ms	u1	@	inf	(-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)
0.0ms	u1	@	-inf	(-.f32 (.f32 u1 (.f32 u1 -1/2)) u1)

rewrite165.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`prod-diff`
964×	`log-prod`
748×	`fma-def`
582×	`pow-prod-down`
458×	`pow-prod-up`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	216	42
2	2849	34

Stop Event

1×	node limit

Counts

2 → 225

Calls

Call 1

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

Outputs
(+.f32 0 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))) 1)
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 1)
(.f32 1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4) (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4))
(.f32 (sqrt.f32 -1) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 1))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (*.f32 (pow.f32 u1 4) 1/4))))
(pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/2)
(pow.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 1)
(pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 3/2)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) 3)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 2) 1/4)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3) 1/6)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3/2) 1/3)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4) 2)
(fabs.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(hypot.f32 (*.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 (neg.f32 u1)))
(hypot.f32 (sqrt.f32 (neg.f32 u1)) (*.f32 u1 (sqrt.f32 -1/2)))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(exp.f32 (.f32 (log.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1))
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 1) 1/2))
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 1/2) 1))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))) 1) 1))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6)) 3))
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(fma.f32 (.f32 u1 (sqrt.f32 -1/2)) (.f32 u1 (sqrt.f32 -1/2)) (*.f32 (neg.f32 u1) 1))
(fma.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 u1)) (.f32 u1 (.f32 u1 -1/2)))
(fma.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 u1 -1/2)) (neg.f32 u1))
(fma.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (.f32 u1 -1/2)) (*.f32 (neg.f32 u1) 1))
(fma.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3)) (/.f32 1 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (*.f32 (pow.f32 u1 4) 1/4))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3)) (/.f32 1 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (*.f32 (pow.f32 u1 4) 1/4))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3)) (/.f32 1 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (*.f32 (pow.f32 u1 4) 1/4))) (+.f32 (neg.f32 u1) u1))
(fma.f32 -1 u1 (.f32 u1 (.f32 u1 -1/2)))
(fma.f32 -1 (.f32 u1 (.f32 u1 -1/2)) (*.f32 -1 (neg.f32 u1)))
(fma.f32 -1 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 -1 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 -1 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (+.f32 (neg.f32 u1) u1))
(fma.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1)) (/.f32 1 (*.f32 u1 (fma.f32 u1 -1/2 1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1)) (/.f32 1 (*.f32 u1 (fma.f32 u1 -1/2 1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1)) (/.f32 1 (*.f32 u1 (fma.f32 u1 -1/2 1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (pow.f32 (cbrt.f32 (neg.f32 u1)) 2) (cbrt.f32 (neg.f32 u1)) (.f32 u1 (.f32 u1 -1/2)))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 3/4) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 3/4) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 3/4) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4) (+.f32 (neg.f32 u1) u1))
(fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) (.f32 u1 (.f32 u1 -1/2)))
(fma.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 u1) (.f32 u1 (.f32 u1 -1/2)))
(fma.f32 (fma.f32 u1 (sqrt.f32 -1/2) (sqrt.f32 u1)) (-.f32 (*.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 u1)) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (fma.f32 u1 (sqrt.f32 -1/2) (sqrt.f32 u1)) (-.f32 (*.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (fma.f32 u1 (sqrt.f32 -1/2) (sqrt.f32 u1)) (-.f32 (*.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 u1)) (+.f32 (neg.f32 u1) u1))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (neg.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (neg.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (neg.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (.f32 u1 (.f32 u1 -1/2)))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 5/6) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 5/6) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 5/6) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) (+.f32 (neg.f32 u1) u1))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (.f32 -1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (.f32 -1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (.f32 -1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (.f32 u1 (pow.f32 (cbrt.f32 (.f32 u1 -1/2)) 2)) (cbrt.f32 (*.f32 u1 -1/2)) (neg.f32 u1))
(fma.f32 (.f32 u1 (pow.f32 (cbrt.f32 (.f32 u1 -1/2)) 2)) (cbrt.f32 (.f32 u1 -1/2)) (.f32 (neg.f32 u1) 1))
(fma.f32 (.f32 u1 (sqrt.f32 (.f32 u1 -1/2))) (sqrt.f32 (*.f32 u1 -1/2)) (neg.f32 u1))
(fma.f32 (.f32 u1 (sqrt.f32 (.f32 u1 -1/2))) (sqrt.f32 (.f32 u1 -1/2)) (.f32 (neg.f32 u1) 1))
(fma.f32 (.f32 (.f32 u1 -1/2) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (neg.f32 u1))
(fma.f32 (.f32 (.f32 u1 -1/2) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (*.f32 (neg.f32 u1) 1))
(fma.f32 (.f32 (.f32 u1 -1/2) (sqrt.f32 u1)) (sqrt.f32 u1) (neg.f32 u1))
(fma.f32 (.f32 (.f32 u1 -1/2) (sqrt.f32 u1)) (sqrt.f32 u1) (*.f32 (neg.f32 u1) 1))

simplify142.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1034×	`distribute-lft-in`
962×	`unswap-sqr`
636×	`fma-neg`
454×	`distribute-lft-neg-in`
448×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	6513
1	1005	5601
2	3029	5585

Stop Event

1×	node limit

Counts

245 → 280

Calls

Call 1

Inputs
(*.f32 (sqrt.f32 1/2) u1)
(+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 (sqrt.f32 1/2) u1)) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(.f32 -1 (.f32 (sqrt.f32 1/2) u1))
(-.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) u1)) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2))))))
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/2 (pow.f32 u1 2))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/2 (pow.f32 u1 2))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 0 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))) 1)
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 1)
(.f32 1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4) (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4))
(.f32 (sqrt.f32 -1) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 1))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (*.f32 (pow.f32 u1 4) 1/4))))
(pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/2)
(pow.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 1)
(pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 3/2)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) 3)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 2) 1/4)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3) 1/6)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3/2) 1/3)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4) 2)
(fabs.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(hypot.f32 (*.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 (neg.f32 u1)))
(hypot.f32 (sqrt.f32 (neg.f32 u1)) (*.f32 u1 (sqrt.f32 -1/2)))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(exp.f32 (.f32 (log.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1))
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 1) 1/2))
(exp.f32 (.f32 (.f32 (log.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 1/2) 1))
(exp.f32 (.f32 (.f32 (log.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))) 1) 1))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6)) 3))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))) 1/3))
(exp.f32 (.f32 (.f32 1/4 (log.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))) 2))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(+.f32 (.f32 u1 (.f32 u1 -1/2)) (neg.f32 u1))
(+.f32 (.f32 u1 (.f32 u1 -1/2)) (*.f32 (neg.f32 u1) 1))
(+.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (fma.f32 (neg.f32 u1) 1 u1))
(+.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(+.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (+.f32 (neg.f32 u1) u1))
(+.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (fma.f32 -1 u1 u1))
(+.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) u1))
(+.f32 (neg.f32 u1) (.f32 u1 (.f32 u1 -1/2)))
(+.f32 0 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(+.f32 (neg.f32 (.f32 u1 (.f32 u1 -1/2))) (neg.f32 (neg.f32 u1)))
(+.f32 (.f32 -1 (.f32 u1 (.f32 u1 -1/2))) (.f32 -1 (neg.f32 u1)))
(+.f32 (.f32 (.f32 u1 (.f32 u1 -1/2)) -1) (.f32 (neg.f32 u1) -1))
(+.f32 (-.f32 0 (.f32 u1 (.f32 u1 -1/2))) u1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u1) (fma.f32 u1 -1/2 -1))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u1) (fma.f32 u1 -1/2 -1)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u1) (fma.f32 u1 -1/2 -1)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u1) (fma.f32 u1 -1/2 -1)))))
(*.f32 u1 (fma.f32 u1 -1/2 -1))
(.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1)
(.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) -1)
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (neg.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(.f32 1 (.f32 u1 (fma.f32 u1 -1/2 -1)))
(.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2) (neg.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 2))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4) (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3/4))
(.f32 (-.f32 (.f32 (pow.f32 u1 6) -1/8) (pow.f32 u1 3)) (/.f32 1 (fma.f32 u1 (.f32 u1 (fma.f32 u1 -1/2 1)) (.f32 (pow.f32 u1 4) 1/4))))
(.f32 -1 (.f32 u1 (fma.f32 u1 -1/2 -1)))
(.f32 (-.f32 (.f32 (pow.f32 u1 4) 1/4) (.f32 u1 u1)) (/.f32 1 (.f32 u1 (fma.f32 u1 -1/2 1))))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 3/4) (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/4))
(.f32 (fma.f32 u1 (sqrt.f32 -1/2) (sqrt.f32 u1)) (-.f32 (.f32 u1 (sqrt.f32 -1/2)) (sqrt.f32 u1)))
(.f32 (neg.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (neg.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 5/6) (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))))
(.f32 (.f32 -1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))))
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(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (neg.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (neg.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (neg.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (.f32 u1 (.f32 u1 -1/2)))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 5/6) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 5/6) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 5/6) (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 1/6) (+.f32 (neg.f32 u1) u1))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1))) 2)) (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (.f32 -1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 u1) 1 u1))
(fma.f32 (.f32 -1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (fma.f32 (neg.f32 (cbrt.f32 u1)) (pow.f32 (cbrt.f32 u1) 2) u1))
(fma.f32 (.f32 -1 (sqrt.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (+.f32 (neg.f32 u1) u1))
(fma.f32 (.f32 u1 (pow.f32 (cbrt.f32 (.f32 u1 -1/2)) 2)) (cbrt.f32 (*.f32 u1 -1/2)) (neg.f32 u1))
(fma.f32 (.f32 u1 (pow.f32 (cbrt.f32 (.f32 u1 -1/2)) 2)) (cbrt.f32 (.f32 u1 -1/2)) (.f32 (neg.f32 u1) 1))
(fma.f32 (.f32 u1 (sqrt.f32 (.f32 u1 -1/2))) (sqrt.f32 (*.f32 u1 -1/2)) (neg.f32 u1))
(fma.f32 (.f32 u1 (sqrt.f32 (.f32 u1 -1/2))) (sqrt.f32 (.f32 u1 -1/2)) (.f32 (neg.f32 u1) 1))
(fma.f32 (.f32 (.f32 u1 -1/2) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (neg.f32 u1))
(fma.f32 (.f32 (.f32 u1 -1/2) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) (*.f32 (neg.f32 u1) 1))
(fma.f32 (.f32 (.f32 u1 -1/2) (sqrt.f32 u1)) (sqrt.f32 u1) (neg.f32 u1))
(fma.f32 (.f32 (.f32 u1 -1/2) (sqrt.f32 u1)) (sqrt.f32 u1) (*.f32 (neg.f32 u1) 1))

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

localize58.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f32 u1)
✓	99.0%	(pow.f32 (log1p.f32 u1) 3/2)
✓	95.6%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)

Compiler

Compiled 18 to 12 computations (33.3% saved)

series15.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	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)

rewrite102.0ms (0.6%)

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)))

simplify91.0ms (0.5%)

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))))
(+.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))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (.f32 -1/2 (cbrt.f32 (sqrt.f32 -1))) (*.f32 (/.f32 1 u1) (pow.f32 (neg.f32 (log.f32 u1)) 1/6))))
(fma.f32 -1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) 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 (.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)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (.f32 (cbrt.f32 (sqrt.f32 -1)) (.f32 (/.f32 1 u1) (pow.f32 (neg.f32 (log.f32 u1)) 1/6))) (.f32 1/3 (/.f32 (-.f32 (.f32 (+.f32 (/.f32 9/8 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (.f32 3/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (.f32 (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 5) 1/6)) 3/4)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (*.f32 u1 u1) (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/3 (/.f32 (fma.f32 (fma.f32 3/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3))) (.f32 (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 5) 1/6)) -3/4)) (.f32 (.f32 u1 u1) (log.f32 u1))) (.f32 -1/2 (*.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) u1)))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/3 (/.f32 (fma.f32 (sqrt.f32 -1) (.f32 (fma.f32 3/4 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 9/8 (.f32 (log.f32 u1) (log.f32 u1)))) (pow.f32 (neg.f32 (log.f32 u1)) 3/2)) (.f32 (.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 5) 1/6)) -3/4)) (.f32 (.f32 u1 u1) (log.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 -1)) (*.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) u1) -1/2))))
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(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)

localize53.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f32 u1)
✓	99.7%	(sqrt.f32 (log1p.f32 u1))
✓	99.5%	(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
✓	97.8%	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)

Compiler

Compiled 20 to 9 computations (55% saved)

series13.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
3.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
1.0ms	u1	@	0	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
1.0ms	u1	@	-inf	(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
1.0ms	u1	@	inf	(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`pow1`
1242×	`add-exp-log`
1242×	`log1p-expm1-u`
1242×	`expm1-log1p-u`
1214×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	183	29
2	1818	29

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))

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

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1372×	`distribute-rgt-in`
1356×	`distribute-lft-in`
744×	`fma-def`
736×	`unswap-sqr`
528×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	9159
1	1222	8205
2	4748	7825

Stop Event

1×	node limit

Counts

103 → 150

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3))))) (+.f32 (.f32 -247/10368 (sqrt.f32 u1)) (+.f32 (.f32 -11/1728 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 -11/1728 (pow.f32 (.f32 1 u1) 1/3)) (.f32 -247/5184 (pow.f32 (.f32 1 u1) 1/3))))))) (pow.f32 u1 3)) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (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 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/6 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 -1/6 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/12 (-.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 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 -1/6 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.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 (.f32 -1/3 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.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 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 3)))) (+.f32 (.f32 (/.f32 (.f32 (-.f32 (+.f32 (.f32 1/36 (-.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 -1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (-.f32 (+.f32 (.f32 1/36 (-.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 -1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))))) (.f32 -1/3 (.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/12 (-.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 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/3 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) u1)) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (.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 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/3 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) u1)) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/3)) (.f32 2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))) (pow.f32 u1 2))) (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(+.f32 (.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (.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 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (.f32 -1/3 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) u1)) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/3)) (.f32 2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (+.f32 (.f32 1/36 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/3)) (.f32 2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))))) (+.f32 (.f32 (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) 1/3) (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))))) (.f32 2 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (-.f32 (+.f32 (.f32 -1/36 (+.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 1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))))) (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/36 (+.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 1/72 (/.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 1/1296 (/.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 -1/3 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))))) (pow.f32 u1 3))))))))
(pow.f32 u1 1/6)
(+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(+.f32 (.f32 11/288 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6)))
(+.f32 (.f32 11/288 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (.f32 -1/12 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 -247/10368 (pow.f32 (.f32 1 (pow.f32 u1 19)) 1/6)) (pow.f32 u1 1/6))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/6)
(+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1))))
(+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1)))))
(+.f32 (.f32 (/.f32 (-.f32 (+.f32 (.f32 1/36 (-.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 -1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3)) (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6)) (+.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (.f32 -1/6 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/6) (/.f32 1 u1))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1))))
(+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 u1)))))
(+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (+.f32 (.f32 -1/12 (+.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 1/72 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/6) (+.f32 (.f32 -1 (.f32 (pow.f32 (.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 (-.f32 (+.f32 (.f32 -1/36 (+.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 1/72 (/.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 1/1296 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6) (/.f32 1 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 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/2 (.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)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 1/2 (.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)))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (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 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.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)) (pow.f32 u1 2)))) (+.f32 (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 1/3 (.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))))) (pow.f32 u1 3)))))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (log1p.f32 u1) 1/6))
(*.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 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) 1) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(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) 1/6)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/3))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/3) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 1 1/3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3))
(pow.f32 (log1p.f32 u1) 1/6)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) 3)
(pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 2)
(sqrt.f32 (cbrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (log1p.f32 u1) 1/6))
(*.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 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) 1) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(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))))
(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))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(fma.f32 u1 (*.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 u1) (fma.f32 (.f32 (sqrt.f32 u1) -1/4) u1 (.f32 (fma.f32 1/72 (sqrt.f32 u1) (fma.f32 11/288 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)))) (*.f32 u1 u1))))
(+.f32 (sqrt.f32 u1) (fma.f32 (+.f32 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 5/96)) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (.f32 -1/4 u1))))
(+.f32 (sqrt.f32 u1) (fma.f32 (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1/12) (.f32 (sqrt.f32 u1) 5/96)) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (*.f32 -1/4 u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3))))) (+.f32 (.f32 -247/10368 (sqrt.f32 u1)) (+.f32 (.f32 -11/1728 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 -11/1728 (pow.f32 (.f32 1 u1) 1/3)) (.f32 -247/5184 (pow.f32 (.f32 1 u1) 1/3))))))) (pow.f32 u1 3)) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 u1) (fma.f32 (.f32 (sqrt.f32 u1) -1/4) u1 (fma.f32 (fma.f32 -1/12 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)) (fma.f32 -247/10368 (sqrt.f32 u1) (fma.f32 -11/1728 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) -35/648))))) (pow.f32 u1 3) (.f32 (fma.f32 1/72 (sqrt.f32 u1) (fma.f32 11/288 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)))) (*.f32 u1 u1)))))
(+.f32 (fma.f32 u1 (.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1)) (fma.f32 (fma.f32 -1/12 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (+.f32 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) -35/648)) (.f32 (sqrt.f32 u1) -313/10368))) (pow.f32 u1 3) (.f32 u1 (.f32 u1 (+.f32 (.f32 (cbrt.f32 u1) (.f32 1/12 (pow.f32 u1 1/6))) (*.f32 (sqrt.f32 u1) 5/96))))))
(+.f32 (fma.f32 u1 (.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1)) (fma.f32 (fma.f32 -1/12 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1/12) (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) -35/648) (.f32 (sqrt.f32 u1) -313/10368))) (pow.f32 u1 3) (.f32 u1 (.f32 u1 (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 1/12) (.f32 (sqrt.f32 u1) 5/96))))))
(*.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 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/6 (*.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 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) -1/2))
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(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.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))))
(pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3)
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) 1) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 4))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) 7))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(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))

localize131.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	99.1%	(.f32 (.f32 2 (PI.f32)) u2)
✓	99.1%	(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1))))
✓	54.4%	(log.f32 (+.f32 u1 1))

Compiler

Compiled 101 to 57 computations (43.6% saved)

series6.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
0.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite134.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`fma-def`
618×	`expm1-udef`
618×	`log1p-udef`
456×	`add-sqr-sqrt`
448×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	85
1	456	43
2	6170	43

Stop Event

1×	node limit

Counts

3 → 379

Calls

Call 1

Inputs

(log.f32 (+.f32 u1 1))

(+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1))))

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

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

simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1006×	`unswap-sqr`
918×	`distribute-lft-in`
890×	`fma-neg`
812×	`cancel-sign-sub-inv`
596×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	14051
1	1185	10913
2	3791	10513

Stop Event

1×	node limit

Counts

423 → 366

Calls

Call 1

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

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

eval734.0ms (4.1%)

Compiler: Compiled 39635 to 26272 computations (33.7% saved)

prune761.0ms (4.2%)

Pruning

81 alts after pruning (69 fresh and 12 done)

	Pruned	Kept	Total
New	1211	26	1237
Fresh	4	43	47
Picked	0	1	1
Done	2	11	13
Total	1217	81	1298

Accurracy

99.9%

Counts

1298 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.5%	(pow.f32 (pow.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1) 3/2) 1/3)
	35.0%	(pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3)
	36.8%	(pow.f32 (pow.f32 (+.f32 1 (-.f32 (log1p.f32 u1) 1)) 3/2) 1/3)
✓	59.6%	(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
	60.5%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
	59.5%	(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
	35.1%	(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
	60.7%	(pow.f32 (pow.f32 u1 3/2) 1/3)
	60.7%	(pow.f32 (pow.f32 u1 1/6) 3)
	22.9%	(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1) 1/3)
	58.1%	(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/6)) 1) 3)
	24.3%	(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3)
	58.8%	(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)) 3)
	61.7%	(pow.f32 (cbrt.f32 (sqrt.f32 u1)) 3)
	52.2%	(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
	60.6%	(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
	53.3%	(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
	69.0%	(.f32 (pow.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 2) 1/4) 1)
	60.2%	(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
	72.9%	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	4.4%	(.f32 (-.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (.f32 (sqrt.f32 1/2) u1)) 1)
	4.8%	(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) 1)
	18.8%	(.f32 (.f32 (sqrt.f32 1/2) u1) 1)
	58.5%	(.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
	89.9%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
	97.2%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	98.2%	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	77.3%	(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
	72.8%	(.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)
	85.8%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (.f32 -1/2 u1) u1) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	69.0%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
	89.3%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	73.5%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) 1)
✓	55.1%	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 2))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	58.5%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.9%	(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	69.0%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
	85.9%	(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	85.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (fma.f32 -1/6 (.f32 u1 u1) (.f32 -1/3 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	85.7%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	98.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	75.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	57.1%	(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	56.4%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	75.2%	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
✓	98.7%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))
	98.6%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	98.6%	(.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))))
	98.6%	(.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)))
	98.4%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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)))))
	97.2%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	98.3%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
✓	98.8%	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	77.8%	(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
	59.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
✓	59.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	49.5%	(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
	73.2%	(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
	59.9%	(.f32 (exp.f32 (fma.f32 1/2 (log.f32 u1) (.f32 u1 (+.f32 -1/4 (*.f32 u1 5/48))))) 1)
	59.9%	(.f32 (exp.f32 (+.f32 (.f32 1/2 (log.f32 u1)) (*.f32 -1/4 u1))) 1)
	59.3%	(.f32 (exp.f32 (.f32 (+.f32 (.f32 3/2 (log.f32 u1)) (.f32 -3/4 u1)) 1/3)) 1)
	60.5%	(.f32 (exp.f32 (.f32 (*.f32 (log.f32 u1) 3/2) 1/3)) 1)
	59.3%	(.f32 (exp.f32 (.f32 (.f32 3/2 (+.f32 (log.f32 u1) (.f32 u1 -1/2))) 1/3)) 1)
	71.3%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	59.3%	(.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))))
	77.7%	(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
	71.7%	(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
	71.3%	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)))
	69.4%	(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
	60.7%	(sqrt.f32 (log1p.f32 u1))
	35.1%	(sqrt.f32 (log.f32 (+.f32 1 u1)))
	61.9%	(sqrt.f32 u1)
	73.2%	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))

Compiler

Compiled 1318 to 1084 computations (17.8% saved)

regimes1.1s (6%)

Counts

103 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (.f32 (sqrt.f32 1/2) u1) 1)
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(pow.f32 (pow.f32 u1 1/6) 3)
(pow.f32 (pow.f32 u1 3/2) 1/3)
(.f32 (exp.f32 (.f32 1/2 (log.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(.f32 (exp.f32 (.f32 (*.f32 (log.f32 u1) 3/2) 1/3)) 1)
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (exp.f32 (+.f32 (.f32 1/2 (log.f32 u1)) (*.f32 -1/4 u1))) 1)
(.f32 (-.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (.f32 (sqrt.f32 1/2) u1)) 1)
(.f32 (exp.f32 (.f32 (.f32 3/2 (+.f32 (log.f32 u1) (.f32 u1 -1/2))) 1/3)) 1)
(.f32 (exp.f32 (.f32 (+.f32 (.f32 3/2 (log.f32 u1)) (.f32 -3/4 u1)) 1/3)) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (sqrt.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (exp.f32 (.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) 1)
(.f32 (+.f32 1 (expm1.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))) 1)
(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)) 3)
(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3)
(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/6)) 1) 3)
(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1) 1/3)
(pow.f32 (pow.f32 (+.f32 1 (-.f32 (log1p.f32 u1) 1)) 3/2) 1/3)
(pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3)
(pow.f32 (pow.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1) 3/2) 1/3)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 2) 1/4) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) 1)
(.f32 (exp.f32 (fma.f32 1/2 (log.f32 u1) (.f32 u1 (+.f32 -1/4 (*.f32 u1 5/48))))) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (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 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.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)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
(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)))
(sqrt.f32 (.f32 (log1p.f32 u1) (/.f32 (+.f32 1 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32))))) 2)))
(.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 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (fma.f32 -1/6 (.f32 u1 u1) (.f32 -1/3 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (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 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (.f32 2 (log.f32 (sqrt.f32 (-.f32 1 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)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (log.f32 (+.f32 u1 1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) 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))))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(.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)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) 2)))
(.f32 (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))))) (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.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 (+.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (neg.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 2))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))) (neg.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(.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))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (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))))

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

Calls

10 calls:

209.0ms	(.f32 (.f32 2 (PI.f32)) u2)
158.0ms	(-.f32 1 u1)
157.0ms	cosTheta_i
123.0ms	u2
67.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta_i`
98.8%	1	`u1`
98.8%	1	`u2`
98.8%	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
98.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
98.8%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
98.8%	1	`(log.f32 (-.f32 1 u1))`
98.8%	1	`(-.f32 1 u1)`
98.8%	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
98.8%	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1443 to 884 computations (38.7% saved)

regimes687.0ms (3.8%)

Counts

59 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (.f32 (sqrt.f32 1/2) u1) 1)
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(pow.f32 (pow.f32 u1 1/6) 3)
(pow.f32 (pow.f32 u1 3/2) 1/3)
(.f32 (exp.f32 (.f32 1/2 (log.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(.f32 (exp.f32 (.f32 (*.f32 (log.f32 u1) 3/2) 1/3)) 1)
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (exp.f32 (+.f32 (.f32 1/2 (log.f32 u1)) (*.f32 -1/4 u1))) 1)
(.f32 (-.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (.f32 (sqrt.f32 1/2) u1)) 1)
(.f32 (exp.f32 (.f32 (.f32 3/2 (+.f32 (log.f32 u1) (.f32 u1 -1/2))) 1/3)) 1)
(.f32 (exp.f32 (.f32 (+.f32 (.f32 3/2 (log.f32 u1)) (.f32 -3/4 u1)) 1/3)) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (sqrt.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (exp.f32 (.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) 1)
(.f32 (+.f32 1 (expm1.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))) 1)
(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)) 3)
(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3)
(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/6)) 1) 3)
(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1) 1/3)
(pow.f32 (pow.f32 (+.f32 1 (-.f32 (log1p.f32 u1) 1)) 3/2) 1/3)
(pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3)
(pow.f32 (pow.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1) 3/2) 1/3)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 2) 1/4) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) 1)
(.f32 (exp.f32 (fma.f32 1/2 (log.f32 u1) (.f32 u1 (+.f32 -1/4 (*.f32 u1 5/48))))) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (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 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.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)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) 1)
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))

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

Calls

9 calls:

144.0ms	(.f32 (.f32 2 (PI.f32)) u2)
106.0ms	(-.f32 1 u1)
99.0ms	u2
91.0ms	(log.f32 (-.f32 1 u1))
82.0ms	u1

Results

Accuracy	Segments	Branch
89.9%	1	`cosTheta_i`
94.9%	2	`u1`
95.4%	2	`u2`
94.9%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
94.9%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
94.9%	2	`(log.f32 (-.f32 1 u1))`
94.9%	2	`(-.f32 1 u1)`
95.4%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
95.4%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 624 to 451 computations (27.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0012288483558222651	0.0012522600591182709

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes430.0ms (2.4%)

Counts

51 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (.f32 (sqrt.f32 1/2) u1) 1)
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(pow.f32 (pow.f32 u1 1/6) 3)
(pow.f32 (pow.f32 u1 3/2) 1/3)
(.f32 (exp.f32 (.f32 1/2 (log.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(.f32 (exp.f32 (.f32 (*.f32 (log.f32 u1) 3/2) 1/3)) 1)
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (exp.f32 (+.f32 (.f32 1/2 (log.f32 u1)) (*.f32 -1/4 u1))) 1)
(.f32 (-.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (.f32 (sqrt.f32 1/2) u1)) 1)
(.f32 (exp.f32 (.f32 (.f32 3/2 (+.f32 (log.f32 u1) (.f32 u1 -1/2))) 1/3)) 1)
(.f32 (exp.f32 (.f32 (+.f32 (.f32 3/2 (log.f32 u1)) (.f32 -3/4 u1)) 1/3)) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (sqrt.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (exp.f32 (.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) 1)
(.f32 (+.f32 1 (expm1.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))) 1)
(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)) 3)
(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3)
(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/6)) 1) 3)
(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1) 1/3)
(pow.f32 (pow.f32 (+.f32 1 (-.f32 (log1p.f32 u1) 1)) 3/2) 1/3)
(pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3)
(pow.f32 (pow.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1) 3/2) 1/3)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 2) 1/4) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) 1)
(.f32 (exp.f32 (fma.f32 1/2 (log.f32 u1) (.f32 u1 (+.f32 -1/4 (*.f32 u1 5/48))))) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (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 3 (.f32 u1 (+.f32 -1/3 (.f32 u1 -1/6)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))

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

Calls

9 calls:

64.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
53.0ms	(-.f32 1 u1)
51.0ms	(.f32 (.f32 2 (PI.f32)) u2)
43.0ms	u1
42.0ms	u2

Results

Accuracy	Segments	Branch
85.9%	1	`cosTheta_i`
92.4%	2	`u1`
93.6%	2	`u2`
92.4%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
92.4%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
92.4%	2	`(log.f32 (-.f32 1 u1))`
92.4%	2	`(-.f32 1 u1)`
93.6%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
93.6%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 532 to 394 computations (25.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0012288483558222651	0.0012522600591182709

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes319.0ms (1.8%)

Counts

47 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(.f32 (.f32 (sqrt.f32 1/2) u1) 1)
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))) 1)
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(pow.f32 (pow.f32 u1 1/6) 3)
(pow.f32 (pow.f32 u1 3/2) 1/3)
(.f32 (exp.f32 (.f32 1/2 (log.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(.f32 (exp.f32 (.f32 (*.f32 (log.f32 u1) 3/2) 1/3)) 1)
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(.f32 (sqrt.f32 (neg.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(.f32 (exp.f32 (+.f32 (.f32 1/2 (log.f32 u1)) (*.f32 -1/4 u1))) 1)
(.f32 (-.f32 (/.f32 -1/2 (sqrt.f32 1/2)) (.f32 (sqrt.f32 1/2) u1)) 1)
(.f32 (exp.f32 (.f32 (.f32 3/2 (+.f32 (log.f32 u1) (.f32 u1 -1/2))) 1/3)) 1)
(.f32 (exp.f32 (.f32 (+.f32 (.f32 3/2 (log.f32 u1)) (.f32 -3/4 u1)) 1/3)) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (sqrt.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(pow.f32 (pow.f32 (log.f32 (+.f32 u1 1)) 3/2) 1/3)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(.f32 (exp.f32 (.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3)) 1)
(.f32 (+.f32 1 (expm1.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))) 1)
(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)) 3)
(pow.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)) 1/3)
(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/6)) 1) 3)
(pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1) 1/3)
(pow.f32 (pow.f32 (+.f32 1 (-.f32 (log1p.f32 u1) 1)) 3/2) 1/3)
(pow.f32 (pow.f32 (-.f32 (+.f32 1 (log1p.f32 u1)) 1) 3/2) 1/3)
(pow.f32 (pow.f32 (fma.f32 -1/2 (*.f32 u1 u1) u1) 3/2) 1/3)
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (fma.f32 u1 -1/2 -1)) 2) 1/4) 1)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) 1)
(.f32 (exp.f32 (fma.f32 1/2 (log.f32 u1) (.f32 u1 (+.f32 -1/4 (*.f32 u1 5/48))))) 1)
(.f32 (sqrt.f32 (neg.f32 (.f32 3 (.f32 -1/3 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

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

Calls

9 calls:

54.0ms	u1
38.0ms	(-.f32 1 u1)
38.0ms	u2
38.0ms	(.f32 (.f32 2 (PI.f32)) u2)
34.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
77.8%	1	`cosTheta_i`
87.0%	2	`u1`
90.3%	2	`u2`
87.0%	2	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
87.0%	2	`(neg.f32 (log.f32 (-.f32 1 u1)))`
87.0%	2	`(log.f32 (-.f32 1 u1))`
87.0%	2	`(-.f32 1 u1)`
90.3%	2	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
90.3%	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 466 to 347 computations (25.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999614953994751	0.9999662041664124

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes214.0ms (1.2%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

7 calls:

72.0ms	u2
42.0ms	u1
36.0ms	cosTheta_i
18.0ms	(-.f32 1 u1)
16.0ms	(log.f32 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
77.8%	1	`cosTheta_i`
77.8%	1	`u1`
77.8%	1	`u2`
77.8%	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
77.8%	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
77.8%	1	`(log.f32 (-.f32 1 u1))`
77.8%	1	`(-.f32 1 u1)`

Compiler

Compiled 385 to 287 computations (25.5% saved)

regimes51.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	cosTheta_i
6.0ms	u1
6.0ms	u2

Results

Accuracy	Segments	Branch
71.7%	1	`cosTheta_i`
71.7%	1	`u1`
71.7%	1	`u2`

Compiler

Compiled 84 to 64 computations (23.8% saved)

regimes30.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

21.0ms	cosTheta_i
4.0ms	u2
4.0ms	u1

Results

Accuracy	Segments	Branch
69.0%	1	`cosTheta_i`
69.0%	1	`u1`
69.0%	1	`u2`

Compiler

Compiled 47 to 36 computations (23.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -18.7b remaining (-153.3%)

Threshold costs -18.7b (-153.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 u1)

Calls

3 calls:

3.0ms	u2
3.0ms	u1
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
61.9%	1	`cosTheta_i`
61.9%	1	`u1`
61.9%	1	`u2`

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

134×	`unsub-neg`
126×	`distribute-lft-neg-in`
94×	`neg-mul-1`
78×	`neg-sub0`
68×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	388
1	98	388
2	146	388
3	236	384
4	333	384
5	418	384
6	478	384
7	528	384
8	542	384
9	550	384

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5368709/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5368709/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16776629/16777216) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
(.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 (.f32 (.f32 2 (PI.f32)) u2) 5368709/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 5368709/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (cos.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5368709/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (.f32 (sqrt.f32 (neg.f32 (.f32 u1 (+.f32 -1 (.f32 -1/2 u1))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 5368709/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (.f32 (neg.f32 u1) (+.f32 -1 (.f32 u1 -1/2)))) (cos.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)) 16776629/16777216) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (.f32 u2 (.f32 2 (PI.f32)))) 16776629/16777216) (.f32 (cos.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))))
(.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 (neg.f32 -1/2)))))
(sqrt.f32 (-.f32 u1 (.f32 u1 (.f32 u1 -1/2))))
(sqrt.f32 u1)

Compiler

Compiled 147 to 116 computations (21.1% saved)

soundness1.1s (6.3%)

Rules

1574×	`log-prod`
1506×	`log-prod`
1410×	`log-prod`
1358×	`prod-diff`
1190×	`fma-neg`

Iterations

Useful iterations: 2 (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	16	86
1	324	70
2	3913	70
0	20	151
1	399	107
2	4727	11
0	122	760
1	308	690
2	940	674
3	4961	674
0	497	7191
1	1224	6547
2	4843	6481
0	166	3321
1	413	3137
2	1570	2955
3	6629	2955
0	497	7191
1	1224	6547
2	4843	6481
0	17	88
1	340	80
2	4100	80
0	314	4815
1	836	4273
2	2991	3893
0	166	3321
1	413	3137
2	1570	2955
3	6629	2955

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×	saturated

Compiler

Compiled 1169 to 705 computations (39.7% saved)

end62.0ms (0.3%)

Compiler: Compiled 126 to 74 computations (41.3% 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	60	388
1	98	388
2	146	388
3	236	384
4	333	384
5	418	384
6	478	384
7	528	384
8	542	384
9	550	384

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	60	388
1	98	388
2	146	388
3	236	384
4	333	384
5	418	384
6	478	384
7	528	384
8	542	384
9	550	384

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	60	388
1	98	388
2	146	388
3	236	384
4	333	384
5	418	384
6	478	384
7	528	384
8	542	384
9	550	384