Details

analyze179.0ms (1.6%)

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 37 to 28 computations (24.3% saved)

sample2.1s (18.4%)

Results

2.1s	8256×	body	256	valid
1.0ms	3×	body	256	precondition

Bogosity

preprocess15.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

60×	`+-commutative`
48×	`fma-def`
42×	`sub-neg`
30×	`associate-+l-`
26×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	132
1	42	132
2	52	132
3	69	132
4	86	132
5	112	132
6	158	132
7	199	132
8	237	132
9	246	132
10	249	132
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 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 314159265359/50000000000 u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 314159265359/50000000000 u1)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 u1 314159265359/50000000000)))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
14×	`sub-neg`
12×	`fma-def`
10×	`associate-+l-`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	19	33
2	23	33
3	30	33
4	37	33
5	47	33
6	65	33
7	81	33
8	92	33
9	95	33
10	96	33

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

eval0.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.99%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.99%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize72.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.34%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.44%	(/.f32 u1 (-.f32 1 u1))
✓	0.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series9.0ms (0.1%)

Counts

4 → 40

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite114.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*r/`
1138×	`associate-*l/`
864×	`associate-/r*`
662×	`associate-/l*`
420×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	265	70
2	3290	70

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 u1 (-.f32 1 u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 314159265359/50000000000 u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) 1) (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (.f32 u1 u1))) (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u1 (/.f32 1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 u1 (-.f32 1 u1)))))) 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1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))

simplify122.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1644×	`distribute-lft-in`
1114×	`associate-/l/`
960×	`associate-/r/`
620×	`associate-r`
576×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	523	7620
1	1347	7316
2	5020	7312

Stop Event

1×	node limit

Counts

222 → 340

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
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(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (cbrt.f32 (*.f32 u1 u1))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 1 (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) 1) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (/.f32 1/2 u1) (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (/.f32 3/8 (.f32 u1 u1)) (sqrt.f32 -1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sqrt.f32 -1) 5/16) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3)) u1))
(+.f32 (pow.f32 u1 4) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(-.f32 -1 (/.f32 1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
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(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

eval398.0ms (3.5%)

Compiler: Compiled 6763 to 5003 computations (26% saved)

prune111.0ms (1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	317	23	340
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	24	341

Error

0.16%

Counts

341 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	5.04%	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
	2.62%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	1.76%	(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
	1.37%	(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
▶	1.22%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	1.36%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	1.47%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.35%	(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	4.67%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.93%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.25%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	11.87%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.26%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
	1.14%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
✓	0.99%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.02%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.13%	(.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.24%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.09%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	24.49%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	19.71%	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	17.2%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	3.67%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
▶	6.55%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 804 to 631 computations (21.5% saved)

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.44%	(/.f32 u1 (-.f32 1 u1))
✓	0.48%	(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
✓	0.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓	1.26%	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)

Compiler

Compiled 56 to 33 computations (41.1% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
0.0ms	u2	@	inf	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`associate-*r/`
1178×	`associate-*l/`
862×	`associate-/r*`
664×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	307	53
2	3809	53

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))

Inputs

(*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))

(sqrt.f32 (*.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 314159265359/50000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u2) (sqrt.f32 (.f32 u2 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u2) (pow.f32 (.f32 u2 98696044010906577398881/2500000000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2) (cbrt.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 314159265359/50000000000)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))))

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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (pow.f32 (*.f32 u2 98696044010906577398881/2500000000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2) (cbrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))))))

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-/l*`
1058×	`unswap-sqr`
958×	`times-frac`
850×	`*-commutative`
806×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	3813
1	674	3723
2	2376	3589

Stop Event

1×	node limit

Counts

129 → 164

Calls

Call 1

Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(-.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)
(pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1)
(pow.f32 (*.f32 u2 314159265359/50000000000) 2)
(pow.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2) 3)
(pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)
(pow.f32 (pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 3) 1/3)
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))
(log.f32 (exp.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))
(cbrt.f32 (pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 3))
(expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(exp.f32 (log.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1))
(log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1)
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(*.f32 u2 314159265359/50000000000)
(*.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))
(.f32 1 (.f32 u2 314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) 1)
(.f32 (sqrt.f32 u2) (sqrt.f32 (.f32 u2 98696044010906577398881/2500000000000000000000)))
(.f32 (sqrt.f32 u2) (pow.f32 (.f32 u2 98696044010906577398881/2500000000000000000000) 1/2))
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))
(.f32 (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2) (cbrt.f32 (*.f32 u2 314159265359/50000000000)))
(.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
(.f32 (pow.f32 1 1/2) (.f32 u2 314159265359/50000000000))
(.f32 (pow.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2))
(pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(fabs.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (exp.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))
(exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1))))
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(.f32 (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))) (fabs.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))
(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
(*.f32 u2 314159265359/50000000000)
(.f32 (pow.f32 1 1/2) (.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(.f32 (pow.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4))) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2) 1/2))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))) (fabs.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))
(pow.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) 1/2)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(*.f32 u2 314159265359/50000000000)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(*.f32 u2 314159265359/50000000000)
(fabs.f32 (*.f32 u2 314159265359/50000000000))
(*.f32 u2 314159265359/50000000000)
(log.f32 (exp.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 u2 314159265359/50000000000)
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(*.f32 u2 314159265359/50000000000)
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)
(exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 1/2))
(*.f32 u2 314159265359/50000000000)
(exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))
(*.f32 u2 314159265359/50000000000)
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 u2 314159265359/50000000000)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.34%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.44%	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.46%	(/.f32 1 (-.f32 1 u1))
✓	0.6%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.83%	(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
	0.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 50 to 37 computations (26% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	0	(*.f32 (/.f32 1 (-.f32 1 u1)) u1)

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`associate-*r/`
898×	`associate-*l/`
578×	`associate-/r*`
484×	`distribute-rgt-in`
436×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	287	59
2	3500	59

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (-.f32 1 u1))

Outputs

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(*.f32 1 (/.f32 u1 (-.f32 1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 1 (*.f32 u1 u1)) (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 u1 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 u1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 -1 u1) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (neg.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 u1 (-.f32 1 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (pow.f32 (fma.f32 u1 u1 u1) 3))) (+.f32 1 (-.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (cbrt.f32 u1)) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) 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(-.f32 1 u1))))))))

simplify152.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1342×	`distribute-lft-in`
928×	`associate-/l*`
616×	`+-commutative`
612×	`associate-r`
548×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	7176
1	1593	6846
2	6320	6846

Stop Event

1×	node limit

Counts

232 → 341

Calls

Call 1

Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
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(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 -1) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) 1) (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) u1))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) 1))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) 1) (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) 1))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (.f32 u1 u1))) (*.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) u1))
(+.f32 (.f32 1 (/.f32 1 (-.f32 1 (.f32 u1 u1)))) (.f32 u1 (/.f32 1 (-.f32 1 (.f32 u1 u1)))))
(+.f32 (.f32 u1 (/.f32 1 (-.f32 1 (.f32 u1 u1)))) (.f32 1 (/.f32 1 (-.f32 1 (.f32 u1 u1)))))
(+.f32 (.f32 1 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (.f32 (fma.f32 u1 u1 u1) (/.f32 1 (-.f32 1 (pow.f32 u1 3)))))
(+.f32 (.f32 (fma.f32 u1 u1 u1) (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (.f32 1 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))))
(+.f32 (.f32 (+.f32 1 (.f32 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 u1 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (-.f32 1 u1)))) 1)
(*.f32 1 (/.f32 1 (-.f32 1 u1)))
(*.f32 (/.f32 1 (-.f32 1 u1)) 1)
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 -1 (/.f32 1 (+.f32 -1 u1)))
(*.f32 (/.f32 1 (+.f32 -1 u1)) -1)
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))
(*.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 1 u1)) -1) (pow.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) -1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) -1))
(.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (.f32 (pow.f32 u1 3) (pow.f32 u1 3)))) (+.f32 1 (pow.f32 u1 3)))
(.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 (pow.f32 u1 3) 3))) (+.f32 1 (+.f32 (pow.f32 u1 3) (.f32 (pow.f32 u1 3) (pow.f32 u1 3)))))
(.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 1 (*.f32 u1 u1)))
(.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (pow.f32 (.f32 u1 u1) 3))) (+.f32 1 (+.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))))
(.f32 (/.f32 1 (neg.f32 (-.f32 1 (.f32 u1 u1)))) (neg.f32 (+.f32 1 u1)))
(*.f32 (/.f32 1 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 1 (-.f32 1 (.f32 (neg.f32 u1) (neg.f32 u1)))) (+.f32 1 u1))
(.f32 (/.f32 1 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (+.f32 1 (-.f32 (.f32 (neg.f32 u1) (neg.f32 u1)) (neg.f32 u1))))
(*.f32 (/.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 1 u1)))
(.f32 (/.f32 -1 (neg.f32 (-.f32 1 (.f32 u1 u1)))) (+.f32 1 u1))
(*.f32 (/.f32 -1 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (cbrt.f32 (-.f32 1 (.f32 u1 u1)))) (cbrt.f32 (+.f32 1 u1)))
(pow.f32 (-.f32 1 u1) -1)
(pow.f32 (/.f32 1 (-.f32 1 u1)) 1)
(pow.f32 (pow.f32 (-.f32 1 u1) -1/2) 2)
(pow.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) 3)
(pow.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 3)) 1/3)
(sqrt.f32 (pow.f32 (-.f32 1 u1) -2))
(log.f32 (exp.f32 (/.f32 1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (-.f32 1 u1)))))
(cbrt.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 1 u1))))
(exp.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) -1))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 1 u1))))

Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (*.f32 u1 u1))
(+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (fma.f32 u1 u1 (pow.f32 u1 4)) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)) (pow.f32 u1 4))
(+.f32 u1 (+.f32 (pow.f32 u1 4) (*.f32 u1 (fma.f32 u1 u1 u1))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(+.f32 -1 (+.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 -1 u1)))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(+.f32 -1 (+.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 -1 u1)))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) -1/2)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 1/2 (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2))) u1))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 3/8 (sqrt.f32 -1)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 5/16 (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
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(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) 1) (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) u1))
(.f32 (+.f32 u1 1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1)))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) 1))
(.f32 (+.f32 u1 1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1)))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) 1) (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 u1 u1)) (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) 1))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(+.f32 (.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (.f32 u1 u1))) (*.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) u1))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(+.f32 (.f32 1 (/.f32 1 (-.f32 1 (.f32 u1 u1)))) (.f32 u1 (/.f32 1 (-.f32 1 (.f32 u1 u1)))))
(.f32 (+.f32 u1 1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1)))
(+.f32 (.f32 u1 (/.f32 1 (-.f32 1 (.f32 u1 u1)))) (.f32 1 (/.f32 1 (-.f32 1 (.f32 u1 u1)))))
(.f32 (+.f32 u1 1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1)))
(+.f32 (.f32 1 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (.f32 (fma.f32 u1 u1 u1) (/.f32 1 (-.f32 1 (pow.f32 u1 3)))))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(+.f32 (.f32 (fma.f32 u1 u1 u1) (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (.f32 1 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(+.f32 (.f32 (+.f32 1 (.f32 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (*.f32 u1 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (-.f32 1 u1)))) 1)
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 1 (/.f32 1 (-.f32 1 u1)))
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (/.f32 1 (-.f32 1 u1)) 1)
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (pow.f32 (-.f32 1 u1) -1/2))
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (cbrt.f32 (-.f32 1 u1)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (cbrt.f32 (-.f32 1 u1)))
(*.f32 -1 (/.f32 1 (+.f32 -1 u1)))
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(*.f32 (/.f32 1 (+.f32 -1 u1)) -1)
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))
(.f32 (+.f32 u1 1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1)))
(*.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(*.f32 (pow.f32 (sqrt.f32 (-.f32 1 u1)) -1) (pow.f32 (sqrt.f32 (-.f32 1 u1)) -1))
(pow.f32 (sqrt.f32 (-.f32 1 u1)) -2)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) -1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) -1))
(*.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))
(.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (.f32 (pow.f32 u1 3) (pow.f32 u1 3)))) (+.f32 1 (pow.f32 u1 3)))
(/.f32 (*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (+.f32 (pow.f32 u1 3) 1)) (-.f32 1 (pow.f32 u1 6)))
(/.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (+.f32 (pow.f32 u1 3) 1)) (-.f32 1 (pow.f32 u1 6)))
(.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 (pow.f32 u1 3) 3))) (+.f32 1 (+.f32 (pow.f32 u1 3) (.f32 (pow.f32 u1 3) (pow.f32 u1 3)))))
(/.f32 (*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (+.f32 (+.f32 (pow.f32 u1 3) 1) (pow.f32 u1 6))) (-.f32 1 (pow.f32 (pow.f32 u1 3) 3)))
(/.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (+.f32 (pow.f32 u1 3) (+.f32 1 (pow.f32 u1 6)))) (-.f32 1 (pow.f32 (pow.f32 u1 3) 3)))
(.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 1 (*.f32 u1 u1)))
(.f32 (+.f32 1 (.f32 u1 u1)) (/.f32 (+.f32 u1 1) (-.f32 1 (pow.f32 u1 4))))
(*.f32 (fma.f32 u1 u1 1) (/.f32 (+.f32 u1 1) (-.f32 1 (pow.f32 u1 4))))
(.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (pow.f32 (.f32 u1 u1) 3))) (+.f32 1 (+.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)))))
(*.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))
(/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 (fma.f32 u1 u1 1) (pow.f32 u1 4))))
(.f32 (/.f32 1 (neg.f32 (-.f32 1 (.f32 u1 u1)))) (neg.f32 (+.f32 1 u1)))
(.f32 (+.f32 u1 1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1)))
(*.f32 (/.f32 1 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(.f32 (/.f32 1 (-.f32 1 (.f32 (neg.f32 u1) (neg.f32 u1)))) (+.f32 1 u1))
(.f32 (+.f32 u1 1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1)))
(.f32 (/.f32 1 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (+.f32 1 (-.f32 (.f32 (neg.f32 u1) (neg.f32 u1)) (neg.f32 u1))))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(*.f32 (/.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 1))))
(.f32 (/.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 1 u1)))
(.f32 (/.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(.f32 (/.f32 -1 (neg.f32 (-.f32 1 (.f32 u1 u1)))) (+.f32 1 u1))
(.f32 (+.f32 u1 1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1)))
(*.f32 (/.f32 -1 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (/.f32 1 (-.f32 1 (pow.f32 u1 3))))
(/.f32 (+.f32 u1 (fma.f32 u1 u1 1)) (-.f32 1 (pow.f32 u1 3)))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 u1 (fma.f32 u1 u1 1))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (cbrt.f32 (-.f32 1 (.f32 u1 u1)))) (cbrt.f32 (+.f32 1 u1)))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) -2)) (cbrt.f32 (-.f32 1 (.f32 u1 u1)))) (cbrt.f32 (+.f32 u1 1)))
(pow.f32 (-.f32 1 u1) -1)
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(pow.f32 (/.f32 1 (-.f32 1 u1)) 1)
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(pow.f32 (pow.f32 (-.f32 1 u1) -1/2) 2)
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(pow.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) 3)
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(pow.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 3)) 1/3)
(cbrt.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 3)))
(sqrt.f32 (pow.f32 (-.f32 1 u1) -2))
(log.f32 (exp.f32 (/.f32 1 (-.f32 1 u1))))
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (-.f32 1 u1)))))
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(cbrt.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 1 (-.f32 1 u1))))
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))
(exp.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) -1))
(exp.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1))
(exp.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (/.f32 1 (-.f32 1 u1))))
(/.f32 1 (-.f32 1 u1))
(/.f32 -1 (+.f32 u1 -1))

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.28%	(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.54%	(sqrt.f32 (-.f32 1 u1))
✓	0.87%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 44 to 31 computations (29.5% saved)

series6.0ms (0.1%)

Counts

3 → 40

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(sqrt.f32 (-.f32 1 u1))
1.0ms	u2	@	0	(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	-inf	(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`associate-/l*`
1792×	`associate-*l/`
682×	`associate-/r/`
380×	`associate-/l/`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	291	71
2	3788	71

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (-.f32 1 u1))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) 1/4) (*.f32 (pow.f32 (-.f32 1 u1) 1/4) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 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(sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 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(sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1522×	`distribute-rgt-in`
1520×	`distribute-lft-in`
672×	`associate-r`
552×	`times-frac`
542×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	445	7673
1	1180	7439
2	5227	7439

Stop Event

1×	node limit

Counts

185 → 252

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1
(+.f32 1 (*.f32 -1/2 u1))
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/2 u1)))
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 u1 2) (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 -1/16 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 u1 2) (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (-.f32 1 u1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (-.f32 1 u1)))) (+.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 1 u1))))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (-.f32 1 u1)))) (+.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 1 u1)))) (.f32 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (-.f32 1 u1)))))))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
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(.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) -1)
(neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(sqrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 u1 u1) (sqrt.f32 -1))))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 5/16 (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 u1 u1) (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 5/16 (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 (+.f32 1 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1
(+.f32 1 (*.f32 -1/2 u1))
(fma.f32 -1/2 u1 1)
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (.f32 -1/2 u1)))
(+.f32 1 (fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/2 u1)))
(+.f32 (fma.f32 -1/2 u1 1) (.f32 u1 (.f32 u1 -1/8)))
(+.f32 1 (fma.f32 -1/2 u1 (.f32 u1 (.f32 u1 -1/8))))
(+.f32 1 (+.f32 (.f32 -1/8 (pow.f32 u1 2)) (+.f32 (.f32 -1/16 (pow.f32 u1 3)) (*.f32 -1/2 u1))))
(+.f32 1 (fma.f32 -1/8 (.f32 u1 u1) (fma.f32 -1/16 (pow.f32 u1 3) (.f32 -1/2 u1))))
(+.f32 1 (fma.f32 (.f32 u1 u1) -1/8 (fma.f32 (pow.f32 u1 3) -1/16 (.f32 -1/2 u1))))
(+.f32 (fma.f32 -1/2 u1 1) (fma.f32 (.f32 u1 u1) -1/8 (.f32 (pow.f32 u1 3) -1/16)))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
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(fma.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
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(fma.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/8 (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/8 (/.f32 u1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 -1/16 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 u1 2) (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/16 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/8 (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/16 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/8 (/.f32 u1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (-.f32 1 u1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (*.f32 u2 u2) (sqrt.f32 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
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(sqrt.f32 (-.f32 1 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 1 u1)))))
(sqrt.f32 (-.f32 1 u1))
(cbrt.f32 (pow.f32 (-.f32 1 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
(exp.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(pow.f32 (exp.f32 1/2) (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (exp.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(pow.f32 (exp.f32 1/2) (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (exp.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) 1))
(pow.f32 (exp.f32 1/2) (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (exp.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (-.f32 1 u1) 1/4) (.f32 (pow.f32 (-.f32 1 u1) 1/4) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (cbrt.f32 (-.f32 1 u1)) (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 1 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 -1 (neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 1 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 1) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (cbrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (pow.f32 (-.f32 1 u1) 1/4) 1) (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (-.f32 1 u1) 1/4))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (/.f32 (pow.f32 (-.f32 1 u1) 1/4) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) 1) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) -1)
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

localize71.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.44%	(/.f32 u1 (-.f32 1 u1))
	0.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9%	(*.f32 314159265359/50000000000 u2)
✓	3.25%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 64 to 46 computations (28.1% saved)

series1.0ms (0%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
0.0ms	u1	@	inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
0.0ms	u2	@	0	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
0.0ms	u1	@	-inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
0.0ms	u2	@	-inf	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`associate-*r/`
1166×	`associate-*l/`
860×	`associate-/r*`
664×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	295	33
2	3502	33

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 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simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1632×	`associate-/l*`
1276×	`times-frac`
994×	`associate-/r*`
748×	`*-commutative`
644×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	4134
1	591	4056
2	2057	3930
3	7423	3924

Stop Event

1×	node limit

Counts

82 → 139

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(.f32 1 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (/.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 u1 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 u1 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (/.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (.f32 (sqrt.f32 -1) 1/2) u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 3/8 u1) (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(fma.f32 1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
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(/.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 -1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 -1 u1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 -1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (fabs.f32 (cbrt.f32 (-.f32 1 u1)))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (fabs.f32 (cbrt.f32 (-.f32 1 u1)))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (E.f32) (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 2)) (cbrt.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (sqrt.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval1.1s (9.8%)

Compiler: Compiled 30069 to 21976 computations (26.9% saved)

prune572.0ms (5%)

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1464	32	1496
Fresh	13	5	18
Picked	0	1	1
Done	2	3	5
Total	1479	41	1520

Error

0.09%

Counts

1520 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	19.62%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	5.3%	(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
	2.62%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	2.23%	(/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
	10.23%	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
	1.22%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))))
▶	24.55%	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	1.46%	(/.f32 (sqrt.f32 u1) (.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
	10.89%	(/.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
	17.43%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	1.41%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	1.36%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	1.47%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	17.59%	(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
	17.59%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	17.54%	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	4.67%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.92%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	2.08%	(.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (.f32 (/.f32 (pow.f32 u1 1/4) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	9.26%	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	11.87%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.64%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.16%	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
▶	1.07%	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.03%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.99%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.16%	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.23%	(.f32 (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	1.09%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	11.96%	(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	3.51%	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	24.49%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	19.71%	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	17.2%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	17.29%	(sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))
	17.45%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	3.67%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
	17.32%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	33.99%	(sqrt.f32 u1)
✓	6.55%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	28.22%	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 1231 to 974 computations (20.9% saved)

localize103.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.44%	(/.f32 u1 (-.f32 1 u1))
✓	0.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.9%	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
✓	3.13%	(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

Compiler

Compiled 49 to 37 computations (24.5% saved)

series2.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
0.0ms	u2	@	inf	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`associate-*r/`
1166×	`associate-*l/`
856×	`associate-/r*`
662×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	313	41
2	3647	41

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs

(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 314159265359/50000000000)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1548×	`distribute-lft-in`
1138×	`associate-/l*`
918×	`times-frac`
828×	`associate-+r+`
794×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	3258
1	543	3180
2	1864	3048
3	6575	3042

Stop Event

1×	node limit

Counts

88 → 128

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
314159265359/50000000000
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (-.f32 1 u1) u1)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Outputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)))))
(fma.f32 -1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sqrt.f32 -1) 1/2) (/.f32 u1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 3/8 u1) (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(fma.f32 1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
314159265359/50000000000
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(*.f32 314159265359/50000000000 u2)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(*.f32 314159265359/50000000000 u2)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(*.f32 314159265359/50000000000 u2)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(*.f32 314159265359/50000000000 u2)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(*.f32 314159265359/50000000000 u2)
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
(fabs.f32 (*.f32 314159265359/50000000000 u2))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(*.f32 314159265359/50000000000 u2)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 314159265359/50000000000 u2)
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(*.f32 314159265359/50000000000 u2)
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(*.f32 314159265359/50000000000 u2)
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 314159265359/50000000000 u2)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (+.f32 -1 u1)) (sqrt.f32 (neg.f32 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (neg.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1))))
(.f32 (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))
(.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1))) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))))
(/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cbrt.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (+.f32 -1 u1)) (sqrt.f32 (neg.f32 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (neg.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 u1))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1))))
(.f32 (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))
(.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 u1))) (cbrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 -1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 -1 u1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 -1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (fabs.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (fabs.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (-.f32 1 u1))))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize9.0ms (0.1%)

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

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.25%	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.31%	(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.62%	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 31 to 22 computations (29% saved)

series3.0ms (0%)

Counts

3 → 20

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms	u1	@	-inf	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms	u2	@	inf	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms	u2	@	0	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
0.0ms	u1	@	inf	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))

rewrite125.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

998×	`*-commutative`
904×	`associate-*r/`
790×	`associate-/r*`
688×	`unswap-sqr`
678×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	242	49
2	2964	49

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))))

simplify114.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1086×	`distribute-rgt-neg-out`
1064×	`distribute-lft-neg-out`
786×	`associate-r`
656×	`associate-l`
524×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	6117
1	966	5719
2	4507	5701

Stop Event

1×	node limit

Counts

201 → 279

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
1
(+.f32 1 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (+.f32 (.f32 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))))
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))))
(.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))))
(.f32 (cbrt.f32 (/.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 -1 (.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 u1)))
(.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 1/4))
(.f32 (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (pow.f32 u1 1/4) 1))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 u1))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (cbrt.f32 u1) 1))
(.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (.f32 (sqrt.f32 u1) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (sqrt.f32 u1) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))))
(.f32 (/.f32 (pow.f32 u1 1/4) 1) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (.f32 (/.f32 (pow.f32 u1 1/4) 1) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (.f32 (/.f32 (pow.f32 u1 1/4) 1) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))))
(.f32 (/.f32 (cbrt.f32 u1) 1) (.f32 (cbrt.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (cbrt.f32 u1) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (/.f32 (cbrt.f32 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) 1) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (cbrt.f32 u1) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 u1)))
(.f32 (/.f32 1 (/.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 u1))) (cbrt.f32 (sqrt.f32 u1)))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) -1) (cbrt.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2))))))
(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (cbrt.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(pow.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (/.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 u1)) -1)
(neg.f32 (.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(neg.f32 (.f32 1 (.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(neg.f32 (.f32 (.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(sqrt.f32 (/.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(.f32 1 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (neg.f32 (/.f32 -1 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2)))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)) (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)) (neg.f32 (/.f32 -1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 -1 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2))) -1)
(.f32 (sqrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (neg.f32 (sqrt.f32 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (.f32 (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2))))) (neg.f32 (cbrt.f32 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (/.f32 -1 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 -1 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (neg.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (/.f32 -1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)) 1) (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (pow.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) -1) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) -1) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) -1) (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) -1))
(.f32 (neg.f32 (sqrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (neg.f32 (.f32 (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (cbrt.f32 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (neg.f32 (/.f32 -1 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2))
(.f32 (neg.f32 (neg.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (.f32 (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2)))))
(.f32 (.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2))))
(pow.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2) 2)
(pow.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (/.f32 1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) 1/3)
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1)
(neg.f32 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2))
(log.f32 (exp.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (/.f32 1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (neg.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (neg.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (neg.f32 (neg.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1)
(.f32 -1 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) -1)
(.f32 (sqrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (neg.f32 (sqrt.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (.f32 (cbrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (neg.f32 (cbrt.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (neg.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (neg.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (neg.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (neg.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) 1) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) 1) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) -1) (cbrt.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) -1) (cbrt.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (neg.f32 (sqrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (neg.f32 (.f32 (cbrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (cbrt.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (neg.f32 (neg.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (neg.f32 (neg.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))
(.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 1 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))
(/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 -1 (neg.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(/.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))
(/.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (/.f32 -1 (neg.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(/.f32 -1 (/.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)
(/.f32 (sqrt.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (sqrt.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (/.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))
(/.f32 (sqrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 -1 (sqrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(/.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2))) (/.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))
(/.f32 (.f32 (cbrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (neg.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 -1 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (neg.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (/.f32 -1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (.f32 1 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) 1) (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 1 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))
(/.f32 (/.f32 1 (pow.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) -1)) (pow.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) -1))
(/.f32 (/.f32 1 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) -1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) -1))
(/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))
(/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))) (sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) 1) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (/.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (/.f32 -1 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 -1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (/.f32 -1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 -1 (sqrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 -1 (.f32 (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 -1 (/.f32 -1 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))
(/.f32 (/.f32 -1 (neg.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) 1) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(pow.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(neg.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 u1) (*.f32 u2 u2))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1))
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(/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(/.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2)))
(/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2)) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))) (sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2))
(/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))))
(/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) 1) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -1/2)))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(/.f32 (/.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (/.f32 -1 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2))
(/.f32 (/.f32 -1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (/.f32 -1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))
(/.f32 (/.f32 -1 (sqrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(/.f32 (/.f32 -1 (.f32 (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (cbrt.f32 (/.f32 -1 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(/.f32 (/.f32 -1 (/.f32 -1 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))
(/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2))
(/.f32 (/.f32 -1 (neg.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) 1) (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2)))
(/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2))) (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2))))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -1/2)))
(/.f32 1 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)) (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2)) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -1/2)))))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2))) (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))))
(/.f32 (/.f32 (/.f32 1 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2))) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))) (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(/.f32 1 (.f32 (.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2)))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -2))))
(pow.f32 (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)
(cos.f32 (*.f32 u2 314159265359/50000000000))
(neg.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))
(fabs.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(cos.f32 (*.f32 u2 314159265359/50000000000))

localize82.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.38%	(/.f32 (-.f32 1 u1) (-.f32 1 (*.f32 u1 u1)))
✓	0.57%	(/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))
✓	0.6%	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 99 to 56 computations (43.4% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(/.f32 (-.f32 1 u1) (-.f32 1 (*.f32 u1 u1)))
0.0ms	u1	@	0	(/.f32 (-.f32 1 u1) (-.f32 1 (*.f32 u1 u1)))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`distribute-rgt-in`
1104×	`distribute-lft-in`
376×	`add-sqr-sqrt`
364×	`pow1`
364×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	143
1	370	59
2	5304	59

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs

(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (*.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

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

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

Outputs

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(*.f32 (neg.f32 (log1p.f32 u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (+.f32 u1 1))))))))

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-/r/`
668×	`associate-l`
660×	`associate-+r+`
660×	`associate-r`
642×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	8982
1	1418	5942
2	5619	5928

Stop Event

1×	node limit

Counts

202 → 276

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
1
(+.f32 1 (*.f32 -1 u1))
(+.f32 (pow.f32 u1 2) (+.f32 1 (*.f32 -1 u1)))
(+.f32 (pow.f32 u1 2) (+.f32 1 (+.f32 (.f32 -1 u1) (.f32 -1 (pow.f32 u1 3)))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)) (+.f32 (/.f32 1 (pow.f32 u1 4)) (/.f32 1 (pow.f32 u1 2))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)) (+.f32 (/.f32 1 (pow.f32 u1 4)) (/.f32 1 (pow.f32 u1 2))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))))) (/.f32 1 (sqrt.f32 (+.f32 u1 1))))
(/.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (sqrt.f32 (+.f32 u1 1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
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(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2)) (/.f32 (-.f32 1 u1) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))))
(.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4))) (+.f32 1 (.f32 u1 u1)))
(.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (+.f32 (.f32 u1 u1) (pow.f32 u1 4))))
(.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2)) (cbrt.f32 (/.f32 1 (+.f32 u1 1))))
(pow.f32 (/.f32 1 (+.f32 u1 1)) 1)
(pow.f32 (/.f32 1 (sqrt.f32 (+.f32 u1 1))) 2)
(pow.f32 (cbrt.f32 (/.f32 1 (+.f32 u1 1))) 3)
(pow.f32 (pow.f32 (/.f32 1 (+.f32 u1 1)) 3) 1/3)
(pow.f32 (+.f32 u1 1) -1)
(neg.f32 (/.f32 (-.f32 1 u1) (+.f32 -1 (*.f32 u1 u1))))
(sqrt.f32 (pow.f32 (/.f32 1 (+.f32 u1 1)) 2))
(log.f32 (exp.f32 (/.f32 1 (+.f32 u1 1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (+.f32 u1 1)))))
(cbrt.f32 (pow.f32 (/.f32 1 (+.f32 u1 1)) 3))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 3)))
(expm1.f32 (log1p.f32 (/.f32 1 (+.f32 u1 1))))
(exp.f32 (neg.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 u1)) 1))
(log1p.f32 (expm1.f32 (/.f32 1 (+.f32 u1 1))))

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (/.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 1 (.f32 -1/2 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 1/2 (sqrt.f32 -1)) (/.f32 u1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (.f32 (sqrt.f32 -1) 1/2) u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sqrt.f32 -1) 3/8) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (.f32 (sqrt.f32 -1) 3/8) (.f32 u1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 5/16 (sqrt.f32 -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 3)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (sqrt.f32 -1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (.f32 5/16 (sqrt.f32 -1)) (pow.f32 u1 3)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 (+.f32 1 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (fma.f32 u1 u1 (pow.f32 u1 4)) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(+.f32 u1 (+.f32 (pow.f32 u1 4) (*.f32 u1 (fma.f32 u1 u1 u1))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(+.f32 (+.f32 -1 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (+.f32 -1 (/.f32 -1 u1)) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))
1
(+.f32 1 (*.f32 -1 u1))
(-.f32 1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 1 (*.f32 -1 u1)))
(+.f32 (*.f32 u1 u1) (-.f32 1 u1))
(-.f32 (fma.f32 u1 u1 1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 1 (+.f32 (.f32 -1 u1) (.f32 -1 (pow.f32 u1 3)))))
(+.f32 (*.f32 u1 u1) (+.f32 (-.f32 1 u1) (neg.f32 (pow.f32 u1 3))))
(*.f32 (-.f32 1 u1) (fma.f32 u1 u1 1))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))
(+.f32 (/.f32 1 u1) (/.f32 -1 (*.f32 u1 u1)))
(-.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)) (/.f32 1 (pow.f32 u1 2)))
(+.f32 (/.f32 1 (pow.f32 u1 3)) (-.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 -1 (*.f32 u1 u1))))
(-.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)) (+.f32 (/.f32 1 (pow.f32 u1 4)) (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 4))))
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(+.f32 (.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 1 (-.f32 1 (.f32 u1 u1)))) (.f32 (.f32 (/.f32 1 (+.f32 u1 1)) (.f32 u1 (neg.f32 u1))) (/.f32 1 (-.f32 1 (.f32 u1 u1)))))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(+.f32 (.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 1 (-.f32 1 (.f32 u1 u1)))) (.f32 (.f32 (.f32 u1 (neg.f32 u1)) (/.f32 1 (+.f32 u1 1))) (/.f32 1 (-.f32 1 (.f32 u1 u1)))))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(+.f32 (.f32 1 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4)))) (.f32 (*.f32 u1 u1) (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4)))))
(.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4))) (+.f32 1 (.f32 u1 u1)))
(*.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4))) (fma.f32 u1 u1 1))
(+.f32 (.f32 (.f32 u1 u1) (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4)))) (*.f32 1 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4)))))
(.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4))) (+.f32 1 (.f32 u1 u1)))
(*.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4))) (fma.f32 u1 u1 1))
(+.f32 (.f32 1 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6)))) (.f32 (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)) (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6)))))
(*.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))
(/.f32 (-.f32 1 u1) (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 (pow.f32 u1 4) (fma.f32 u1 u1 1))))
(+.f32 (.f32 (+.f32 (.f32 u1 u1) (pow.f32 u1 4)) (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6)))) (*.f32 1 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6)))))
(*.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))
(/.f32 (-.f32 1 u1) (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 (pow.f32 u1 4) (fma.f32 u1 u1 1))))
(+.f32 (.f32 (+.f32 1 (pow.f32 u1 4)) (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6)))) (.f32 (*.f32 u1 u1) (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6)))))
(*.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))
(/.f32 (-.f32 1 u1) (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 (pow.f32 u1 4) (fma.f32 u1 u1 1))))
(-.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (/.f32 u1 (-.f32 1 (.f32 u1 u1))))
(.f32 (-.f32 1 u1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (-.f32 1 u1) (fma.f32 u1 (neg.f32 u1) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 1 (+.f32 u1 1)))) 1)
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(-.f32 (+.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) 0) (/.f32 u1 (-.f32 1 (.f32 u1 u1))))
(.f32 (-.f32 1 u1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (-.f32 1 u1) (fma.f32 u1 (neg.f32 u1) 1))
(*.f32 1 (/.f32 1 (+.f32 u1 1)))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(.f32 (-.f32 1 u1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (-.f32 1 u1) (fma.f32 u1 (neg.f32 u1) 1))
(*.f32 (/.f32 1 (+.f32 u1 1)) 1)
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (-.f32 1 (*.f32 u1 u1)))))
(.f32 (-.f32 1 u1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (-.f32 1 u1) (fma.f32 u1 (neg.f32 u1) 1))
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 u1 1))) (/.f32 1 (sqrt.f32 (+.f32 u1 1))))
(pow.f32 (/.f32 1 (sqrt.f32 (+.f32 u1 1))) 2)
(.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 1 (-.f32 1 (*.f32 u1 u1)))))
(.f32 (-.f32 1 u1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (-.f32 1 u1) (fma.f32 u1 (neg.f32 u1) 1))
(*.f32 (cbrt.f32 (/.f32 1 (+.f32 u1 1))) (pow.f32 (cbrt.f32 (/.f32 1 (+.f32 u1 1))) 2))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1 (+.f32 u1 1))) 2) (cbrt.f32 (/.f32 1 (+.f32 u1 1))))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (-.f32 1 u1))
(.f32 (-.f32 1 u1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (-.f32 1 u1) (fma.f32 u1 (neg.f32 u1) 1))
(.f32 (+.f32 -1 u1) (/.f32 1 (+.f32 -1 (.f32 u1 u1))))
(/.f32 (.f32 (+.f32 -1 u1) 1) (+.f32 -1 (.f32 u1 u1)))
(/.f32 (+.f32 -1 u1) (fma.f32 u1 u1 -1))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (/.f32 (-.f32 1 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))
(/.f32 (/.f32 (-.f32 1 u1) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) 1))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) 1)))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2)) (/.f32 (-.f32 1 u1) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))))
(/.f32 (.f32 1 (/.f32 (-.f32 1 u1) (cbrt.f32 (-.f32 1 (.f32 u1 u1))))) (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2))
(/.f32 (/.f32 (-.f32 1 u1) (cbrt.f32 (fma.f32 u1 (neg.f32 u1) 1))) (pow.f32 (cbrt.f32 (fma.f32 u1 (neg.f32 u1) 1)) 2))
(.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4))) (+.f32 1 (.f32 u1 u1)))
(*.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 4))) (fma.f32 u1 u1 1))
(.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (+.f32 (.f32 u1 u1) (pow.f32 u1 4))))
(*.f32 (/.f32 (-.f32 1 u1) (-.f32 1 (pow.f32 u1 6))) (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))
(/.f32 (-.f32 1 u1) (/.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 (pow.f32 u1 4) (fma.f32 u1 u1 1))))
(.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (-.f32 1 u1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (-.f32 1 u1) (fma.f32 u1 (neg.f32 u1) 1))
(.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 (*.f32 u1 u1)))))
(/.f32 (.f32 1 (/.f32 (-.f32 1 u1) (cbrt.f32 (-.f32 1 (.f32 u1 u1))))) (pow.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) 2))
(/.f32 (/.f32 (-.f32 1 u1) (cbrt.f32 (fma.f32 u1 (neg.f32 u1) 1))) (pow.f32 (cbrt.f32 (fma.f32 u1 (neg.f32 u1) 1)) 2))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (-.f32 1 (.f32 u1 u1))))
(.f32 (-.f32 1 u1) (/.f32 1 (-.f32 1 (.f32 u1 u1))))
(/.f32 (-.f32 1 u1) (fma.f32 u1 (neg.f32 u1) 1))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (/.f32 (-.f32 1 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))))
(/.f32 (/.f32 (-.f32 1 u1) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) 1))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) 1)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2)) (cbrt.f32 (/.f32 1 (+.f32 u1 1))))
(.f32 (cbrt.f32 (/.f32 1 (+.f32 u1 1))) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2)))
(*.f32 (cbrt.f32 (/.f32 1 (+.f32 u1 1))) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (pow.f32 (cbrt.f32 (fma.f32 u1 (neg.f32 u1) 1)) 2)))
(pow.f32 (/.f32 1 (+.f32 u1 1)) 1)
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(pow.f32 (/.f32 1 (sqrt.f32 (+.f32 u1 1))) 2)
(pow.f32 (cbrt.f32 (/.f32 1 (+.f32 u1 1))) 3)
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(pow.f32 (pow.f32 (/.f32 1 (+.f32 u1 1)) 3) 1/3)
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(pow.f32 (+.f32 u1 1) -1)
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(neg.f32 (/.f32 (-.f32 1 u1) (+.f32 -1 (*.f32 u1 u1))))
(/.f32 (.f32 (+.f32 -1 u1) 1) (+.f32 -1 (.f32 u1 u1)))
(/.f32 (+.f32 -1 u1) (fma.f32 u1 u1 -1))
(sqrt.f32 (pow.f32 (/.f32 1 (+.f32 u1 1)) 2))
(sqrt.f32 (pow.f32 (+.f32 u1 1) -2))
(log.f32 (exp.f32 (/.f32 1 (+.f32 u1 1))))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (+.f32 u1 1)))))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (/.f32 1 (+.f32 u1 1)) 3))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3) (pow.f32 (-.f32 1 (*.f32 u1 u1)) 3)))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 u1) 3) (pow.f32 (fma.f32 u1 (neg.f32 u1) 1) 3)))
(expm1.f32 (log1p.f32 (/.f32 1 (+.f32 u1 1))))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))
(exp.f32 (neg.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 u1)) 1))
(exp.f32 (neg.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (/.f32 1 (+.f32 u1 1))))
(.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1))) (+.f32 (/.f32 1 (+.f32 u1 1)) (/.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 u1 1))))
(/.f32 1 (+.f32 u1 1))

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.44%	(/.f32 u1 (-.f32 1 u1))
✓	0.6%	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9%	(*.f32 314159265359/50000000000 u2)
✓	19.66%	(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Compiler

Compiled 56 to 40 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
0.0ms	u1	@	0	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	-inf	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u2	@	0	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`associate-*r/`
1154×	`associate-*l/`
862×	`associate-/r*`
664×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	295	50
2	3482	50

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 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simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1388×	`associate-/l*`
1018×	`associate-/r*`
808×	`distribute-rgt-in`
804×	`distribute-lft-in`
778×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	5637
1	808	5433
2	2852	5429

Stop Event

1×	node limit

Counts

139 → 218

Calls

Call 1

Inputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0)
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (cbrt.f32 (*.f32 u1 u1))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 1 (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) 1) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Outputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
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(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (+.f32 -1 u1)) (sqrt.f32 (neg.f32 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (neg.f32 u1)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1))))
(.f32 (/.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (.f32 (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 -1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (/.f32 (cbrt.f32 (+.f32 -1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 -1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (fabs.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (fabs.f32 (cbrt.f32 (-.f32 1 u1)))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval690.0ms (6%)

Compiler: Compiled 25432 to 18692 computations (26.5% saved)

prune398.0ms (3.5%)

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	1166	10	1176
Fresh	7	25	32
Picked	1	0	1
Done	0	8	8
Total	1174	43	1217

Error

0.08%

Counts

1217 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	19.62%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	5.3%	(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
	24.97%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	2.23%	(/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
	10.23%	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
	1.22%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))))
✓	24.55%	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	30.63%	(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
▶	1.46%	(/.f32 (sqrt.f32 u1) (.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
▶	10.89%	(/.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
▶	17.43%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	1.41%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	1.36%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	1.47%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	17.59%	(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
	17.59%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	17.54%	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	4.67%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	24.84%	(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	2.08%	(.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (.f32 (/.f32 (pow.f32 u1 1/4) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	9.26%	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	4.66%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
▶	1.15%	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	1.07%	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.03%	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (.f32 (-.f32 1 u1) (fma.f32 u1 u1 1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	1.03%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.99%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.16%	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	11.87%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.23%	(.f32 (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	1.09%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	11.96%	(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	3.54%	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	24.48%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	24.49%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
✓	17.2%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	17.29%	(sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))
	17.45%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	3.67%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
▶	17.32%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
✓	33.99%	(sqrt.f32 u1)
✓	6.55%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	28.22%	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 1212 to 963 computations (20.5% saved)

localize82.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6%	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.9%	(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
	0.9%	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
	3.13%	(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

Compiler

Compiled 61 to 47 computations (23% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.0ms	u1	@	-inf	(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
0.0ms	u1	@	0	(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`associate-*r/`
1266×	`associate-*l/`
1220×	`associate-/r*`
338×	`add-sqr-sqrt`
322×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	358	46
2	4116	46

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

Inputs
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))

Outputs

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(pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (sqrt.f32 (/.f32 1 u1))) (sqrt.f32 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (*.f32 (cbrt.f32 (/.f32 1 u1)) (cbrt.f32 (/.f32 1 u1)))) (cbrt.f32 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (cbrt.f32 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log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 -1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

870×	`associate-/l*`
772×	`distribute-lft-in`
736×	`distribute-rgt-in`
566×	`associate-/l/`
502×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	5402
1	1154	5218
2	4969	5118

Stop Event

1×	node limit

Counts

178 → 244

Calls

Call 1

Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4) (.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4)) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/4))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 1 (+.f32 -1 u1)) (neg.f32 u1))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) -1) (pow.f32 (/.f32 1 u1) -1))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))) -1) (pow.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))) -1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) 2) -1) (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) -1))
(/.f32 1 (+.f32 -1 (/.f32 1 u1)))
(/.f32 u1 (-.f32 1 u1))
(/.f32 -1 (neg.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) 2))
(/.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(/.f32 (neg.f32 u1) (+.f32 -1 u1))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (/.f32 u1 1) (-.f32 1 u1))
(/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 u1))
(/.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))
(/.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (/.f32 1 (+.f32 1 u1)))
(/.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (/.f32 1 (+.f32 -1 u1)) (/.f32 -1 u1))
(/.f32 (*.f32 u1 (+.f32 1 (fma.f32 u1 u1 u1))) (-.f32 1 (pow.f32 u1 3)))
(/.f32 (*.f32 (neg.f32 u1) 1) (+.f32 -1 u1))
(/.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 u1)))
(/.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (*.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 1 u1)))
(/.f32 (*.f32 1 (/.f32 u1 1)) (-.f32 1 u1))
(/.f32 (*.f32 1 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 1 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 1 (/.f32 1 (-.f32 1 u1))) (/.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (-.f32 1 (*.f32 u1 u1))) (-.f32 1 u1))
(/.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 (pow.f32 u1 3))) (+.f32 1 (-.f32 (*.f32 u1 u1) u1)))
(/.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (-.f32 1 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)))) (-.f32 1 (fma.f32 u1 u1 u1)))
(/.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (pow.f32 (fma.f32 u1 u1 u1) 3))) (+.f32 1 (-.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 u1))))
(/.f32 (*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) u1) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 u1)) (-.f32 1 u1))
(/.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (cbrt.f32 u1)) (-.f32 1 u1))
(/.f32 (*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(/.f32 (*.f32 (/.f32 u1 1) 1) (-.f32 1 u1))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) 1) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) 1) (/.f32 1 u1))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (*.f32 1 (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) 1)
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) 1)
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))
(/.f32 (/.f32 1 (/.f32 1 u1)) (-.f32 1 u1))
(/.f32 (/.f32 1 (/.f32 1 (sqrt.f32 u1))) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(/.f32 (/.f32 1 (/.f32 1 (pow.f32 (cbrt.f32 u1) 2))) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(/.f32 (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) 1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1))
(/.f32 (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 u1) 2))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(/.f32 (/.f32 1 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) 1)) (/.f32 (cbrt.f32 (-.f32 1 u1)) u1))
(/.f32 (/.f32 1 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (sqrt.f32 u1))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (/.f32 1 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) (pow.f32 (cbrt.f32 u1) 2))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))) (sqrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) 2))) (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (/.f32 (neg.f32 u1) 1) (+.f32 -1 u1))
(/.f32 (/.f32 (neg.f32 u1) -1) (-.f32 1 u1))
(/.f32 (/.f32 (neg.f32 u1) (sqrt.f32 (-.f32 1 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (neg.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (neg.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (neg.f32 u1) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (neg.f32 u1) (*.f32 (cbrt.f32 (+.f32 -1 u1)) (cbrt.f32 (+.f32 -1 u1)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (neg.f32 u1) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (neg.f32 u1) (neg.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 u1 1) 1) (-.f32 1 u1))
(/.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) 1) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (sqrt.f32 (/.f32 1 u1))) (sqrt.f32 (/.f32 1 u1)))
(/.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (*.f32 (cbrt.f32 (/.f32 1 u1)) (cbrt.f32 (/.f32 1 u1)))) (cbrt.f32 (/.f32 1 u1)))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (/.f32 1 u1)))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))) (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cbrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))) (cbrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))) (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) 2))) (cbrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(sqrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 -1 (/.f32 1 u1))))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (+.f32 (*.f32 u1 u1) (pow.f32 u1 3)) u1)
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (pow.f32 u1 4) (+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))
(.f32 (fma.f32 u1 u1 u1) (+.f32 (.f32 u1 u1) 1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 -1 (-.f32 (/.f32 -1 u1) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1)))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))))
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(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 -1 (/.f32 1 u1))))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize47.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.34%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	0.46%	(/.f32 1 (-.f32 1 u1))
	0.83%	(*.f32 (/.f32 1 (-.f32 1 u1)) u1)

Compiler

Compiled 28 to 21 computations (25% saved)

series0.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`add-sqr-sqrt`
1840×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	2364	17

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-r`
1198×	`associate-l`
1098×	`associate-/r*`
1044×	`times-frac`
1028×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1018
1	236	988
2	637	946
3	1890	804

Stop Event

1×	node limit

Counts

34 → 57

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.54%	(sqrt.f32 (-.f32 1 u1))
✓	0.71%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`add-sqr-sqrt`
1898×	`*-un-lft-identity`
1770×	`add-cube-cbrt`
1750×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	186	17
2	2404	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 1/4) 1) (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (-.f32 1 u1))) (/.f32 (pow.f32 u1 1/4) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) 1) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (cbrt.f32 (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate-/r/`
1254×	`associate-r`
1010×	`associate-l`
1000×	`distribute-rgt-in`
986×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1311
1	310	1251
2	1078	1199
3	5099	1197

Stop Event

1×	node limit

Counts

41 → 75

Calls

Call 1

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

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

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.48%	(.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
	0.54%	(sqrt.f32 (-.f32 1 u1))
✓	0.76%	(/.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
✓	1.26%	(.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)

Compiler

Compiled 58 to 35 computations (39.7% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(/.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
1.0ms	u1	@	0	(/.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
1.0ms	u2	@	inf	(/.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-/l*`
876×	`distribute-lft-in`
608×	`associate-/r/`
360×	`associate-/l/`
340×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	321	81
2	4330	81

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

(*.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000)

(/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (*.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))

(*.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (*.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (+.f32 1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))) (+.f32 (/.f32 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 98696044010906577398881/5000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (*.f32 u2 98696044010906577398881/5000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) 1) (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 (neg.f32 u2) (*.f32 u2 98696044010906577398881/5000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) 1) (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 (neg.f32 (*.f32 u2 u2)) 98696044010906577398881/5000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) 1) (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) 1) (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 -1 (*.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) 1) (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 (neg.f32 (*.f32 u2 (sqrt.f32 98696044010906577398881/5000000000000000000000))) (*.f32 u2 (sqrt.f32 98696044010906577398881/5000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) 1) (*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 (neg.f32 (cbrt.f32 (*.f32 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simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

918×	`associate-/r/`
876×	`associate-/l/`
818×	`associate-+r+`
720×	`associate-r`
670×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	476	10747
1	1372	9433
2	5530	9431

Stop Event

1×	node limit

Counts

189 → 298

Calls

Call 1

Inputs
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(/.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))
(-.f32 (/.f32 (sqrt.f32 -1) (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) u1)))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2))))) (/.f32 (sqrt.f32 -1) (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) u1)))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2))))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3))))) (/.f32 (sqrt.f32 -1) (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) u1)))))
(/.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))
(+.f32 (.f32 1/2 (/.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) u1))) (/.f32 (sqrt.f32 -1) (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) u1))) (/.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))))
(+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3)))) (+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))) u1))) (/.f32 (sqrt.f32 -1) (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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(cbrt.f32 (.f32 (pow.f32 (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000) 1))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1))))
(fma.f32 1 (sqrt.f32 (-.f32 1 u1)) (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))
(fma.f32 (sqrt.f32 (-.f32 1 u1)) 1 (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))
(fma.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4) (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))
(fma.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))

Outputs
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
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(/.f32 (sqrt.f32 -1) (fma.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
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(/.f32 (+.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 3)) (-.f32 (+.f32 (-.f32 1 u1) (.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))))
(/.f32 (+.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 (.f32 u2 (sqrt.f32 (-.f32 1 u1))))) 3)) (-.f32 (fma.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)) (-.f32 1 u1) (-.f32 1 u1)) (.f32 (-.f32 1 u1) (.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))
(/.f32 (+.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (.f32 (.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))) 3)) (.f32 1 (-.f32 (+.f32 (-.f32 1 u1) (.f32 (.f32 (.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))) (.f32 (.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1)))))))
(/.f32 (+.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 3)) (-.f32 (+.f32 (-.f32 1 u1) (.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))))
(/.f32 (+.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 (.f32 u2 (sqrt.f32 (-.f32 1 u1))))) 3)) (-.f32 (fma.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)) (-.f32 1 u1) (-.f32 1 u1)) (.f32 (-.f32 1 u1) (.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))
(pow.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1)) 1)
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1))) 2)
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1))) 3)
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1)) 3) 1/3)
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(sqrt.f32 (.f32 (-.f32 1 u1) (pow.f32 (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1) 2)))
(sqrt.f32 (.f32 (-.f32 1 u1) (pow.f32 (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1) 2)))
(sqrt.f32 (.f32 (-.f32 1 u1) (pow.f32 (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1))) (fma.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000) 1)))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1)))))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1)) 3))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(cbrt.f32 (.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1) 3)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1) 3)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1) 3)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 1 u1) 3/2) (pow.f32 (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1))))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1))))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000) 1))) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 u2 98696044010906577398881/5000000000000000000000) 1))))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(fma.f32 1 (sqrt.f32 (-.f32 1 u1)) (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(fma.f32 (sqrt.f32 (-.f32 1 u1)) 1 (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 u2 (.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(fma.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4) (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))
(fma.f32 (pow.f32 (-.f32 1 u1) 1/4) (pow.f32 (-.f32 1 u1) 1/4) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (sqrt.f32 (-.f32 1 u1))))) (pow.f32 (-.f32 1 u1) 1/2))
(fma.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000)) (sqrt.f32 (-.f32 1 u1))))
(fma.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(fma.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 (sqrt.f32 (-.f32 1 u1))))))

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.44%	(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.54%	(sqrt.f32 (-.f32 1 u1))
✓	0.87%	(/.f32 (sqrt.f32 u1) (.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
	0.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(/.f32 (sqrt.f32 u1) (.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
0.0ms	u2	@	-inf	(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
0.0ms	u1	@	inf	(/.f32 (sqrt.f32 u1) (.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
0.0ms	u1	@	inf	(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
0.0ms	u1	@	-inf	(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`associate-/l*`
694×	`associate-/r/`
460×	`distribute-rgt-in`
426×	`associate-/l/`
406×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	312	64
2	4004	64

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

Inputs
(/.f32 (sqrt.f32 u1) (.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))) (sqrt.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))) (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (/.f32 (sqrt.f32 u1) 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simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1020×	`unswap-sqr`
676×	`distribute-rgt-in`
674×	`distribute-lft-in`
500×	`*-commutative`
484×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	8041
1	1170	7571
2	4061	7467

Stop Event

1×	node limit

Counts

165 → 252

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
(+.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (-.f32 1 u1)))) (+.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 1 u1))))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (-.f32 1 u1)))) (+.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (-.f32 1 u1)))) (.f32 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (-.f32 1 u1)))))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 u1 2) (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 -1/16 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (+.f32 (.f32 -1/8 (/.f32 (pow.f32 u1 2) (cos.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))) 1)
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
(.f32 1 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))) 1)
(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))) (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))
(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))
(.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))) (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))
(.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (/.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (/.f32 1 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(.f32 (/.f32 1 (cbrt.f32 (.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (/.f32 1 (/.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (neg.f32 (sqrt.f32 u1)))
(.f32 (/.f32 (pow.f32 u1 1/4) 1) (.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 u1 1/4))
(.f32 (.f32 (/.f32 (pow.f32 u1 1/4) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))))
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(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 u1 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)))))
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(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 u1 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
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(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))
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(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
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(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (-.f32 1 u1))
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(fma.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/16 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/8 (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/16 (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/8 (/.f32 u1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))))))
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(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

eval585.0ms (5.1%)

Compiler: Compiled 28754 to 21072 computations (26.7% saved)

prune552.0ms (4.8%)

Pruning

46 alts after pruning (35 fresh and 11 done)

	Pruned	Kept	Total
New	1374	8	1382
Fresh	3	27	30
Picked	1	0	1
Done	1	11	12
Total	1379	46	1425

Error

0.08%

Counts

1425 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	19.62%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	5.3%	(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
	24.97%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	10.56%	(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (*.f32 98696044010906577398881/5000000000000000000000 u2) 1))
	2.23%	(/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
	10.23%	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
	1.22%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))))
✓	24.55%	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	30.63%	(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
	24.09%	(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
	18.59%	(/.f32 (sqrt.f32 u1) (.f32 (+.f32 1 (.f32 -1/2 u1)) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
✓	10.89%	(/.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
✓	17.43%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	1.41%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	1.36%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	1.47%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	17.59%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	17.54%	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	4.67%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	24.84%	(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	2.08%	(.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (.f32 (/.f32 (pow.f32 u1 1/4) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	9.26%	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	4.66%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	1.15%	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	1.07%	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.03%	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (.f32 (-.f32 1 u1) (fma.f32 u1 u1 1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.46%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
✓	1.03%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.99%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.16%	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	11.87%	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.23%	(.f32 (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	1.09%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	11.96%	(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	3.54%	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	24.48%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	24.49%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
✓	17.2%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	17.43%	(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
	3.67%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
	22.57%	(sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1))
	25.41%	(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
	17.99%	(sqrt.f32 (*.f32 (log.f32 (exp.f32 (/.f32 1 (-.f32 1 u1)))) u1))
✓	33.99%	(sqrt.f32 u1)
✓	6.55%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	28.22%	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 699 to 556 computations (20.5% saved)

regimes397.0ms (3.5%)

Counts

74 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (.f32 (+.f32 1 (.f32 -1/2 u1)) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (*.f32 98696044010906577398881/5000000000000000000000 u2) 1))
(/.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 1 u1)) (+.f32 1 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 (-.f32 1 u1) (-.f32 1 (.f32 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(sqrt.f32 (*.f32 (log.f32 (exp.f32 (/.f32 1 (-.f32 1 u1)))) u1))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (.f32 (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (.f32 (-.f32 1 u1) (fma.f32 u1 u1 1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))))
(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (.f32 (/.f32 (pow.f32 u1 1/4) 1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Calls

8 calls:

92.0ms	u2
84.0ms	(/.f32 u1 (-.f32 1 u1))
50.0ms	cosTheta_i
32.0ms	u1
32.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
0.99%	1	`cosTheta_i`
0.99%	1	`u1`
0.99%	1	`u2`
0.99%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.99%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.99%	1	`(/.f32 u1 (-.f32 1 u1))`
0.99%	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.99%	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 1038 to 732 computations (29.5% saved)

regimes137.0ms (1.2%)

Counts

22 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (.f32 (+.f32 1 (.f32 -1/2 u1)) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Outputs

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))

(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Calls

7 calls:

24.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
22.0ms	(/.f32 u1 (-.f32 1 u1))
21.0ms	u1
20.0ms	u2
20.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
9.26%	1	`cosTheta_i`
2.9%	2	`u1`
2.49%	2	`u2`
2.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.9%	2	`(/.f32 u1 (-.f32 1 u1))`
2.49%	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
2.49%	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 260 to 173 computations (33.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08394264429807663	0.13826242089271545

Compiler

Compiled 20 to 16 computations (20% saved)

regimes182.0ms (1.6%)

Counts

21 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (.f32 (+.f32 1 (.f32 -1/2 u1)) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Outputs

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))

(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Calls

7 calls:

73.0ms	u1
20.0ms	u2
20.0ms	(/.f32 u1 (-.f32 1 u1))
19.0ms	(*.f32 314159265359/50000000000 u2)
19.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
9.26%	1	`cosTheta_i`
2.99%	2	`u1`
2.49%	2	`u2`
2.99%	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.99%	2	`(/.f32 u1 (-.f32 1 u1))`
2.49%	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
2.49%	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 249 to 167 computations (32.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08394264429807663	0.13826242089271545

Compiler

Compiled 20 to 16 computations (20% saved)

regimes102.0ms (0.9%)

Counts

20 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (.f32 (+.f32 1 (.f32 -1/2 u1)) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))

Calls

7 calls:

21.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
19.0ms	u2
19.0ms	(*.f32 314159265359/50000000000 u2)
11.0ms	(/.f32 u1 (-.f32 1 u1))
10.0ms	cosTheta_i

Results

Error	Segments	Branch
9.26%	1	`cosTheta_i`
9.26%	1	`u1`
4.14%	2	`u2`
9.26%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
9.26%	1	`(/.f32 u1 (-.f32 1 u1))`
4.14%	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
4.14%	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 238 to 159 computations (33.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.1592804491519928	0.17144304513931274

Compiler

Compiled 20 to 16 computations (20% saved)

regimes74.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (.f32 (+.f32 1 (.f32 -1/2 u1)) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))

Calls

5 calls:

38.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
8.0ms	(/.f32 u1 (-.f32 1 u1))
8.0ms	cosTheta_i
8.0ms	u1
7.0ms	u2

Results

Error	Segments	Branch
9.26%	1	`cosTheta_i`
9.26%	1	`u1`
9.26%	1	`u2`
9.26%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
9.26%	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 186 to 123 computations (33.9% saved)

regimes36.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))

Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Calls

5 calls:

7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
7.0ms	u2
6.0ms	cosTheta_i
6.0ms	(/.f32 u1 (-.f32 1 u1))
6.0ms	u1

Results

Error	Segments	Branch
17.2%	1	`cosTheta_i`
17.2%	1	`u1`
17.2%	1	`u2`
17.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
17.2%	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 122 to 84 computations (31.1% saved)

regimes10.0ms (0.1%)

Accuracy

Total -2.8b remaining (-34.4%)

Threshold costs -2.8b (-34.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))

Calls

3 calls:

3.0ms	cosTheta_i
3.0ms	u1
3.0ms	u2

Results

Error	Segments	Branch
25.41%	1	`cosTheta_i`
25.41%	1	`u1`
25.41%	1	`u2`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
10×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	368
1	53	368
2	57	368
3	59	368
4	60	368

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 13421773/134217728) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 13421773/134217728) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5368709/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 13421773/134217728) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 13421773/134217728) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 13421773/134217728) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 13421773/134217728) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5368709/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5368709/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 u1)

Compiler

Compiled 152 to 116 computations (23.7% saved)

soundness0.0ms (0%)

end67.0ms (0.6%)

Compiler: Compiled 131 to 91 computations (30.5% saved)

Iter	Nodes	Cost
0	27	132
1	42	132
2	52	132
3	69	132
4	86	132
5	112	132
6	158	132
7	199	132
8	237	132
9	246	132
10	249	132
0	3	3

Iter	Nodes	Cost
0	27	132
1	42	132
2	52	132
3	69	132
4	86	132
5	112	132
6	158	132
7	199	132
8	237	132
9	246	132
10	249	132
0	3	3

Iter	Nodes	Cost
0	27	132
1	42	132
2	52	132
3	69	132
4	86	132
5	112	132
6	158	132
7	199	132
8	237	132
9	246	132
10	249	132
0	3	3