Details

analyze151.0ms (1.3%)

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)

sample2.3s (19.5%)

Results

2.3s	8256×	body	256	valid
0.0ms	1×	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

0.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series48.0ms (0.4%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
42.0ms	u2	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
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)))

rewrite85.0ms (0.7%)

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	64
1	265	64
2	3290	64

Stop Event

1×	node limit

Counts

4 → 139

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))
(cos.f32 (*.f32 314159265359/50000000000 u2))

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

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-/r/`
706×	`associate-r`
596×	`associate-l`
584×	`associate-/l*`
506×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	5721
1	1152	5445
2	5528	5321

Stop Event

1×	node limit

Counts

175 → 254

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

eval133.0ms (1.1%)

Compiler: Compiled 4925 to 3645 computations (26% saved)

prune90.0ms (0.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	232	22	254
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	232	23	255

Error

0.1b

Counts

255 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	4.1b	(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.7b	(/.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))))
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))))
	0.5b	(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
▶	3.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	14.3b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.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)))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	14.3b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.0b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	6.9b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Compiler

Compiled 788 to 623 computations (20.9% saved)

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓	0.3b	(.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	u1	@	inf	(.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))))

rewrite81.0ms (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	77
1	307	57
2	3809	57

Stop Event

1×	node limit

Counts

3 → 74

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))))
(cos.f32 (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))))

(cos.f32 (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 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Outputs

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

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-*r/`
1080×	`distribute-lft-in`
990×	`associate-/r/`
906×	`associate-/l/`
898×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3820
1	636	3718
2	3615	3716

Stop Event

1×	node limit

Counts

118 → 159

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

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

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.2b	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`add-sqr-sqrt`
1732×	`*-un-lft-identity`
1618×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
162×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	17
2	2154	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(sqrt.f32 (/.f32 u1 (-.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 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 (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 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (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)))))))))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1608×	`times-frac`
1140×	`associate-/l*`
1062×	`fma-def`
954×	`associate-+r+`
584×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1165
1	268	1107
2	698	1065
3	2061	923
4	7354	923

Stop Event

1×	node limit

Counts

39 → 70

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 (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 (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 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 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.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
(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 (sqrt.f32 -1) (.f32 (+.f32 1 (/.f32 3/4 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 (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 (+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))) (/.f32 -5/16 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (+.f32 (sqrt.f32 -1) (.f32 (+.f32 1 (/.f32 3/4 u1)) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))) (/.f32 -5/16 (*.f32 (sqrt.f32 -1) (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 (/.f32 1/2 u1) 1) (sqrt.f32 -1))
(*.f32 (+.f32 1 (/.f32 1/2 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)))
(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 5/16 (.f32 u1 u1))))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 5/16 (.f32 u1 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 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 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (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 (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 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))))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(/.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)))

localize74.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 72 to 42 computations (41.7% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	-inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`associate-/r*`
1220×	`associate-/l*`
700×	`associate-/r/`
352×	`add-sqr-sqrt`
340×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	344	46
2	4606	46

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) (*.f32 u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) (*.f32 (*.f32 u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 1) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))) (-.f32 1 (*.f32 u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)))))))) (#(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 (+.f32 (*.f32 u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (*.f32 u1 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))) 1) (exp.f32 (log1p.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (/.f32 (*.f32 (-.f32 1 (*.f32 u1 u1)) (+.f32 u1 -1)) (fma.f32 u1 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (/.f32 (*.f32 (-.f32 1 (*.f32 u1 u1)) (fma.f32 u1 u1 (-.f32 1 u1))) (+.f32 1 (pow.f32 u1 3))))))) (#(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 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (+.f32 u1 -1)) (fma.f32 u1 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 (/.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (fma.f32 u1 u1 (-.f32 1 u1))) (+.f32 1 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 u1) 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simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1886×	`distribute-lft-in`
858×	`associate-/l*`
778×	`associate-/l/`
542×	`associate-/r*`
532×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	572	10076
1	1525	8266
2	6137	8266

Stop Event

1×	node limit

Counts

216 → 314

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

localize102.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
✓	0.2b	(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
✓	0.3b	(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
✓	0.4b	(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))

Compiler

Compiled 80 to 62 computations (22.5% saved)

series6.0ms (0%)

Counts

4 → 26

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
0.0ms	u2	@	0	(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))

rewrite152.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`associate-/r*`
434×	`add-sqr-sqrt`
430×	`associate-+l+`
416×	`*-un-lft-identity`
412×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	114
1	441	106
2	5741	106

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

Inputs
(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (+.f32 1 (.f32 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (+.f32 (/.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (+.f32 1 (.f32 -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 u2 u2) (sqrt.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 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 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (-.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (-.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))) (-.f32 1 (.f32 (.f32 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simplify187.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-*r/`
826×	`associate-*l/`
720×	`associate-/r/`
682×	`+-commutative`
598×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	434	12892
1	1181	10844
2	5423	10842

Stop Event

1×	node limit

Counts

182 → 250

Calls

Call 1

Inputs
1
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(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
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(pow.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (sqrt.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(pow.f32 (cbrt.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (pow.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) 2)))
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(expm1.f32 (log1p.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
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(fma.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) (*.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Outputs
1
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(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
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(*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))
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(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))
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(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) (*.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)))

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.3b	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)

Compiler

Compiled 55 to 41 computations (25.5% saved)

series6.0ms (0.1%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
2.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
1.0ms	u2	@	0	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
0.0ms	u2	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`associate-*r/`
1186×	`associate-*l/`
866×	`associate-/r*`
666×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	331	44
2	3816	44

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (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 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) 1) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3) (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2) 3) (cbrt.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 cos.f32 (*.f32 314159265359/50000000000 u2))))) (#(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 exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))))

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

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

944×	`*-commutative`
908×	`fma-def`
766×	`+-commutative`
720×	`distribute-lft-in`
694×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3498
1	592	3402
2	2490	3262
3	7726	3262

Stop Event

1×	node limit

Counts

96 → 148

Calls

Call 1

Inputs
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 (pow.f32 1 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 1 1/3) (cos.f32 (.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)))))
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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))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1)
(.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/6) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/6) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2) (.f32 (cbrt.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 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) 1) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/6)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6))
(.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1/6) 3) (pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/6) 3))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2) 3) (cbrt.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))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (.f32 (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
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(/.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)))
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(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
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(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
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(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
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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)))
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(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

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

eval857.0ms (7.2%)

Compiler: Compiled 31167 to 22530 computations (27.7% saved)

prune468.0ms (3.9%)

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	1285	35	1320
Fresh	13	4	17
Picked	0	1	1
Done	1	4	5
Total	1299	44	1343

Error

0.1b

Counts

1343 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
	7.6b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	7.1b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	0.7b	(/.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))))
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
▶	7.0b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	7.0b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	7.0b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	1.6b	(.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))))
	0.5b	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.7b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.4b	(.f32 (sqrt.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1))
	3.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 1 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	3.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	2.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	14.3b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.1b	(.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	8.0b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.1b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	8.9b	(sqrt.f32 (fma.f32 u1 u1 u1))
	6.9b	(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
	7.0b	(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
✓	6.9b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	8.9b	(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
	8.1b	(sqrt.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))))
	6.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	7.0b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	11.8b	(sqrt.f32 u1)
	7.4b	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))

Compiler

Compiled 1247 to 1002 computations (19.6% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.2b	(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 50 to 37 computations (26% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
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	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)

rewrite76.0ms (0.6%)

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	46
1	287	46
2	3500	46

Stop Event

1×	node limit

Counts

2 → 138

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)))

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

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

846×	`associate-/l*`
840×	`distribute-lft-in`
800×	`distribute-rgt-in`
696×	`distribute-lft-neg-out`
530×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	5226
1	1158	5054
2	4934	4950

Stop Event

1×	node limit

Counts

170 → 249

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

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 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (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 -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 (/.f32 -1 u1) (/.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 (/.f32 -1 u1) (/.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 -1/2 (/.f32 (.f32 u1 (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 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (/.f32 (.f32 u1 (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (.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 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (*.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 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 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1)) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1)) (.f32 (pow.f32 u1 3) (sqrt.f32 -1)))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (.f32 u1 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 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
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(.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))))

localize6.0ms (0%)

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

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (-.f32 1 u1))
✓	0.3b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite61.0ms (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	28
1	186	28
2	2404	28

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-/r*`
920×	`distribute-rgt-in`
896×	`distribute-lft-in`
722×	`associate-+r+`
694×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1824
1	441	1752
2	1525	1688
3	5992	1686

Stop Event

1×	node limit

Counts

70 → 108

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

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (-.f32 1 u1) u1)
✓	0.2b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(/.f32 1 (/.f32 (-.f32 1 u1) u1))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 50 to 36 computations (28% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`associate-*l/`
1528×	`associate-/r*`
1024×	`associate-/l*`
598×	`associate-/r/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	295	59
2	3769	59

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-/r/`
976×	`associate-/l/`
608×	`+-commutative`
574×	`*-commutative`
540×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	492	6491
1	1438	6225
2	5533	6223

Stop Event

1×	node limit

Counts

203 → 296

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

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

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	14.9b	(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))

Compiler

Compiled 56 to 40 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`associate-*r/`
1008×	`associate-*l/`
842×	`associate-/r*`
656×	`associate-/l*`
472×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	294	46
2	3459	46

Stop Event

1×	node limit

Counts

2 → 202

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u1 (-.f32 1 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))))) (*.f32 1 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(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 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simplify135.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1626×	`distribute-lft-in`
1064×	`associate-/l*`
638×	`associate-r`
578×	`associate-l`
550×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	7808
1	1531	7364
2	6448	7360

Stop Event

1×	node limit

Counts

234 → 337

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

eval552.0ms (4.6%)

Compiler: Compiled 23702 to 17331 computations (26.9% saved)

prune379.0ms (3.2%)

Pruning

43 alts after pruning (34 fresh and 9 done)

	Pruned	Kept	Total
New	1162	11	1173
Fresh	11	23	34
Picked	0	1	1
Done	1	8	9
Total	1174	43	1217

Error

0.1b

Counts

1217 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
	7.6b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	8.5b	(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2)))
✓	7.0b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	0.5b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	7.0b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
▶	7.0b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	1.6b	(.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))))
	0.5b	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.7b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.5b	(.f32 (sqrt.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 -1 (/.f32 1 (.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1))
	3.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 1 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	3.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
▶	2.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (-.f32 (pow.f32 u1 4) (.f32 u1 u1))) (-.f32 (.f32 u1 u1) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	3.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 (pow.f32 (/.f32 1 u1) 3) 1)) (+.f32 (/.f32 (/.f32 1 u1) u1) (+.f32 1 (/.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 (/.f32 (/.f32 1 u1) u1) 1)) (+.f32 1 (/.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1))) (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	14.3b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.1b	(.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	8.0b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.0b	(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
✓	6.9b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	11.8b	(sqrt.f32 u1)

Compiler

Compiled 1308 to 1040 computations (20.5% saved)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 55 to 17 computations (69.1% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`associate-*l/`
1484×	`associate-/r*`
1362×	`associate-/l*`
288×	`add-sqr-sqrt`
278×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	278	64
2	3832	64

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (*.f32 u1 (/.f32 (/.f32 1 u1) (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (/.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u1 u1) (/.f32 (/.f32 1 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))) (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)) (pow.f32 (cbrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)) (*.f32 (cbrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))) (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 u1 4)) (*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (/.f32 1 u1) (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)) 2) (cbrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u1 (neg.f32 u1)) (/.f32 -1 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 u1) (-.f32 1 u1)) (*.f32 u1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)) (/.f32 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))) u1)) (cbrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (*.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 u1 (*.f32 u1 u1)) 2))) (/.f32 (*.f32 u1 u1) (cbrt.f32 (-.f32 u1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 u1 (*.f32 u1 u1))) u1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 u1 u1) (-.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (+.f32 u1 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 u1 u1) (-.f32 (pow.f32 u1 3) (pow.f32 u1 6))) (fma.f32 u1 u1 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 1) (/.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (cbrt.f32 (pow.f32 (-.f32 u1 (*.f32 u1 u1)) 2))) (/.f32 u1 (cbrt.f32 (-.f32 u1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 u1 4)) 1) (/.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 u1 4)) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 u1 4)) (cbrt.f32 (pow.f32 (-.f32 u1 (*.f32 u1 u1)) 2))) (cbrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (/.f32 (*.f32 u1 u1) (-.f32 1 u1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 (neg.f32 u1) (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (/.f32 (*.f32 u1 u1) (-.f32 1 u1)) u1)))))))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1608×	`associate-/r*`
1036×	`associate-/l/`
1006×	`unswap-sqr`
984×	`associate-/r/`
492×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	5127
1	790	4581
2	2974	4393

Stop Event

1×	node limit

Counts

111 → 209

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

localize59.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (/.f32 1 u1) -1)
✓	0.1b	(sqrt.f32 (+.f32 (/.f32 1 u1) -1))
✓	0.3b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))

Compiler

Compiled 28 to 23 computations (17.9% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite186.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`add-sqr-sqrt`
1900×	`*-un-lft-identity`
1768×	`add-cube-cbrt`
1754×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	207	49
2	2457	49

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

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

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

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-/r*`
808×	`distribute-lft-in`
786×	`distribute-rgt-in`
732×	`*-commutative`
630×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3364
1	574	3270
2	2208	3104

Stop Event

1×	node limit

Counts

120 → 154

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

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (+.f32 u1 (*.f32 u1 u1)))
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 38 to 16 computations (57.9% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`*-commutative`
878×	`unswap-sqr`
652×	`swap-sqr`
482×	`associate-*r/`
462×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	248	38
2	3168	38

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3)))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3))) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))) (cbrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3))) (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))) (cbrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (fma.f32 u1 u1 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))) (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (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 (fma.f32 u1 u1 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (hypot.f32 u1 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (hypot.f32 u1 (sqrt.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 u1 (sqrt.f32 u1)) (pow.f32 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) (pow.f32 (fma.f32 u1 u1 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (+.f32 u1 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 u1 1) 1/2) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1)))) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1)))) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))) (*.f32 (cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))) (*.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (sqrt.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1))) (cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1))) (cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (sqrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3)))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) (cbrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) (cbrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3)))) (cbrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4)))) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3)))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4))) 1) (sqrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3))) 1) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (*.f32 u1 u1) (pow.f32 u1 4))) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1)))) (cbrt.f32 (-.f32 u1 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (+.f32 (pow.f32 u1 6) (pow.f32 u1 3))) (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1)))) (cbrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 u1 4) (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u1 u1 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (hypot.f32 u1 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (hypot.f32 u1 (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u1 u1 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 u1 (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (sqrt.f32 u1) u1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (hypot.f32 u1 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (hypot.f32 u1 (sqrt.f32 u1))))))))

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-+l+`
1412×	`associate-+r+`
720×	`unswap-sqr`
656×	`fma-def`
548×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	3395
1	518	3255
2	1491	3019
3	4267	3003

Stop Event

1×	node limit

Counts

93 → 170

Calls

Call 1

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

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

localize80.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (/.f32 1 u1) u1)
✓	0.3b	(/.f32 1 (-.f32 (/.f32 (/.f32 1 u1) u1) 1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.3b	(*.f32 (/.f32 1 (-.f32 (/.f32 (/.f32 1 u1) u1) 1)) (+.f32 1 (/.f32 1 u1)))

Compiler

Compiled 95 to 73 computations (23.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite118.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`associate-/l*`
1054×	`*-commutative`
770×	`associate-/r/`
618×	`associate-/l/`
612×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	75
1	233	57
2	3384	45

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 (-.f32 1 (pow.f32 u1 -2))) (/.f32 (/.f32 -1 (-.f32 1 (pow.f32 u1 -2))) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 -1 (-.f32 1 (pow.f32 u1 -2))) u1) (/.f32 -1 (-.f32 1 (pow.f32 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (/.f32 (pow.f32 u1 -3) u1) -1)) 1) (*.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (/.f32 (pow.f32 u1 -3) u1) -1)) (pow.f32 u1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (/.f32 (pow.f32 u1 -3) u1) -1)) (pow.f32 u1 -2)) (*.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (/.f32 (pow.f32 u1 -3) u1) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 -1 (pow.f32 (pow.f32 u1 -2) 3))) (/.f32 (pow.f32 u1 -3) u1)) (*.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 -1 (pow.f32 (pow.f32 u1 -2) 3))) (+.f32 1 (pow.f32 u1 -2))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (pow.f32 u1 -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 u1 -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (pow.f32 u1 -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 u1 -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (pow.f32 u1 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (pow.f32 u1 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (/.f32 (pow.f32 u1 -3) u1) (+.f32 1 (pow.f32 u1 -2)))) (/.f32 1 (+.f32 1 (pow.f32 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (pow.f32 (pow.f32 u1 -2) 3) (+.f32 1 (+.f32 (pow.f32 u1 -2) (/.f32 (pow.f32 u1 -3) u1))))) (/.f32 1 (+.f32 1 (+.f32 (pow.f32 u1 -2) (/.f32 (pow.f32 u1 -3) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 u1 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 u1) (/.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 -1/2) (/.f32 (pow.f32 u1 -1/2) u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 u1)) (*.f32 (/.f32 1 u1) (cbrt.f32 (pow.f32 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 u1 -2)) (pow.f32 (cbrt.f32 (pow.f32 u1 -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (*.f32 u1 (cbrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 u1 -2)) 2) (cbrt.f32 (pow.f32 u1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 u1) (/.f32 -1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 u1) (cbrt.f32 (pow.f32 u1 -2))) (/.f32 1 (cbrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 -1/2) u1) (pow.f32 u1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) u1) (/.f32 1 (cbrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 u1 (cbrt.f32 u1))) (cbrt.f32 (pow.f32 u1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 u1 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 -1/2) (cbrt.f32 (*.f32 u1 u1))) (/.f32 (pow.f32 u1 -1/2) (cbrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 -1/2) (cbrt.f32 u1)) (/.f32 (pow.f32 u1 -1/2) (cbrt.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (sqrt.f32 u1)) (/.f32 (/.f32 1 (cbrt.f32 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (cbrt.f32 u1)) (sqrt.f32 u1)) (/.f32 (cbrt.f32 (pow.f32 u1 -2)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 u1 -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 u1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 u1 -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 u1 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 u1 -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -1 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 (pow.f32 u1 -3) u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 u1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 u1 -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 u1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 u1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 u1 -2)))))))

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

804×	`+-commutative`
716×	`associate--r+`
612×	`associate-+l-`
610×	`associate-+r-`
524×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	8375
1	1320	7611
2	5671	7605

Stop Event

1×	node limit

Counts

211 → 319

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

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

localize88.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.3b	(*.f32 u2 314159265359/50000000000)
✓	19.0b	(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

series42.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
12.0ms	u2	@	-inf	(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
1.0ms	u2	@	0	(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`associate-*r/`
1148×	`associate-*l/`
858×	`associate-/r*`
662×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	294	55
2	3481	55

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2)) (log.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (log.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2))) (log.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 2) (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(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 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 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 314159265359/50000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))))))

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-/l*`
934×	`fma-def`
912×	`times-frac`
882×	`unswap-sqr`
850×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	3996
1	681	3846
2	2349	3714

Stop Event

1×	node limit

Counts

124 → 169

Calls

Call 1

Inputs
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.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 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)))
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(+.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 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 0)
(+.f32 0 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2)) (log.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(+.f32 (log.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2)))
(+.f32 (log.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (log.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2))) (log.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (log.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))) 1)
(.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 1)
(.f32 1 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))
(.f32 (sqrt.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(.f32 (cbrt.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 2))
(.f32 (pow.f32 (cbrt.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2) (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(.f32 2 (log.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(pow.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (sqrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 2)
(pow.f32 (cbrt.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 3)
(pow.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2))
(cbrt.f32 (pow.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 3))
(expm1.f32 (log1p.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(exp.f32 (.f32 (log.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1))
(log1p.f32 (-.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(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)
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(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 314159265359/50000000000)) 1))
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))) 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))

Outputs
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/703125000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 -9740909103402808085817682884085781839780052161/75000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -1613050272732846874652476385752590327546856214713072557700960917405627878185485322041973088657/98437500000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
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eval967.0ms (8.1%)

Compiler: Compiled 26948 to 19489 computations (27.7% saved)

prune385.0ms (3.2%)

Pruning

49 alts after pruning (40 fresh and 9 done)

	Pruned	Kept	Total
New	1213	20	1233
Fresh	9	20	29
Picked	0	1	1
Done	5	8	13
Total	1227	49	1276

Error

0.1b

Counts

1276 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	3.3b	(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
	6.9b	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	8.5b	(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 u1 -1/2)))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	0.5b	(/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) u1))
	0.4b	(/.f32 u1 (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.5b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	7.0b	(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
	7.0b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	11.8b	(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
	4.2b	(.f32 (pow.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.8b	(.f32 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
	0.4b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	27.4b	(.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.1b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	25.3b	(.f32 (+.f32 u1 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.6b	(.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))))
	0.7b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.6b	(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (+.f32 -1 (pow.f32 u1 -2)) -2) (/.f32 (/.f32 (pow.f32 (/.f32 -1 (-.f32 1 (pow.f32 u1 -2))) 2) u1) u1)) (+.f32 (/.f32 -1 (-.f32 1 (pow.f32 u1 -2))) (/.f32 1 (.f32 u1 (-.f32 1 (pow.f32 u1 -2))))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1))
	3.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 1 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	2.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2)) (log.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
✓	2.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	4.2b	(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (+.f32 u1 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) u1)))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (-.f32 (pow.f32 u1 4) (.f32 u1 u1))) (-.f32 (.f32 u1 u1) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.2b	(.f32 (sqrt.f32 (/.f32 1 (.f32 u1 (-.f32 1 u1)))) (+.f32 u1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 u1)))))
✓	3.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.9b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) 1)
✓	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 (/.f32 (/.f32 1 u1) u1) 1)) (+.f32 1 (/.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.8b	(.f32 (sqrt.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 (pow.f32 u1 -2) -1)))) (+.f32 1 (/.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	14.3b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.1b	(.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	8.0b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 u1 u1)))))
	25.7b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
	7.0b	(.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))))
✓	6.9b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	11.8b	(sqrt.f32 u1)

Compiler

Compiled 814 to 642 computations (21.1% saved)

regimes487.0ms (4.1%)

Counts

89 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) 1)
(.f32 (+.f32 u1 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.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 u1 -1/2)))
(.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))))
(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
(.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 1 (.f32 u1 (-.f32 1 u1)))) (+.f32 u1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (+.f32 u1 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) u1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(sqrt.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))))
(.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 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 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 (/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 u1 (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) u1))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1))) (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.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 1 (/.f32 1 u1)) (+.f32 -1 (/.f32 1 (.f32 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 1 (-.f32 (/.f32 (/.f32 1 u1) u1) 1)) (+.f32 1 (/.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 1 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.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 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(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 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 (pow.f32 (/.f32 1 u1) 3) 1)) (+.f32 (/.f32 (/.f32 1 u1) u1) (+.f32 1 (/.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (-.f32 (pow.f32 u1 4) (.f32 u1 u1))) (-.f32 (.f32 u1 u1) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 1))
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(/.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 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (pow.f32 (cbrt.f32 (hypot.f32 u1 (sqrt.f32 u1))) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.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 (sqrt.f32 (.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 (pow.f32 u1 -2) -1)))) (+.f32 1 (/.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(/.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 u2 314159265359/50000000000))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (pow.f32 (+.f32 -1 (pow.f32 u1 -2)) -2) (/.f32 (/.f32 (pow.f32 (/.f32 -1 (-.f32 1 (pow.f32 u1 -2))) 2) u1) u1)) (+.f32 (/.f32 -1 (-.f32 1 (pow.f32 u1 -2))) (/.f32 1 (.f32 u1 (-.f32 1 (pow.f32 u1 -2))))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2)) (log.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))

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

Calls

8 calls:

81.0ms	(*.f32 314159265359/50000000000 u2)
72.0ms	u2
67.0ms	cosTheta_i
67.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
41.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.4b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 1288 to 906 computations (29.7% saved)

regimes325.0ms (2.7%)

Counts

57 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) 1)
(.f32 (+.f32 u1 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.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 u1 -1/2)))
(.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))))
(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
(.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 1 (.f32 u1 (-.f32 1 u1)))) (+.f32 u1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (+.f32 u1 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) u1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(sqrt.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))))
(.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 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 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 (/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 u1 (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) u1))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1))) (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.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 1 (/.f32 1 u1)) (+.f32 -1 (/.f32 1 (.f32 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 1 (-.f32 (/.f32 (/.f32 1 u1) u1) 1)) (+.f32 1 (/.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 1 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.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 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))

Outputs
(.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)))

Calls

8 calls:

77.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
73.0ms	(*.f32 314159265359/50000000000 u2)
32.0ms	(/.f32 u1 (-.f32 1 u1))
28.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
27.0ms	u1

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.4b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 725 to 486 computations (33% saved)

regimes234.0ms (2%)

Counts

51 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) 1)
(.f32 (+.f32 u1 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.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 u1 -1/2)))
(.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))))
(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
(.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 1 (.f32 u1 (-.f32 1 u1)))) (+.f32 u1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (+.f32 u1 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) u1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(sqrt.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))))
(.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 (hypot.f32 u1 (sqrt.f32 u1)) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 (-.f32 u1 (*.f32 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 (/.f32 1 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 u1 (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) u1))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1))
(.f32 (sqrt.f32 (/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1))) (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.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 1 (/.f32 1 u1)) (+.f32 -1 (/.f32 1 (.f32 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 1 (-.f32 (/.f32 (/.f32 1 u1) u1) 1)) (+.f32 1 (/.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 1 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))

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

Calls

8 calls:

50.0ms	(*.f32 314159265359/50000000000 u2)
26.0ms	u2
26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
25.0ms	cosTheta_i
25.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.4b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 642 to 434 computations (32.4% saved)

regimes192.0ms (1.6%)

Counts

29 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) 1)
(.f32 (+.f32 u1 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.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 u1 -1/2)))
(.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))))
(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
(.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 1 (.f32 u1 (-.f32 1 u1)))) (+.f32 u1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (+.f32 u1 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) u1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(sqrt.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Outputs

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

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

Calls

7 calls:

31.0ms	(*.f32 314159265359/50000000000 u2)
31.0ms	u1
31.0ms	u2
30.0ms	(/.f32 u1 (-.f32 1 u1))
28.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
3.8b	1	`cosTheta_i`
1.8b	2	`u1`
1.3b	2	`u2`
1.8b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
1.8b	2	`(/.f32 u1 (-.f32 1 u1))`
1.3b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.3b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 307 to 208 computations (32.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9974687695503235	0.9981499314308167

Compiler

Compiled 20 to 16 computations (20% saved)

regimes178.0ms (1.5%)

Counts

28 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) 1)
(.f32 (+.f32 u1 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.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 u1 -1/2)))
(.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))))
(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
(.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 1 (.f32 u1 (-.f32 1 u1)))) (+.f32 u1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (+.f32 u1 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) u1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(sqrt.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))))

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

Calls

7 calls:

33.0ms	u1
27.0ms	(/.f32 u1 (-.f32 1 u1))
26.0ms	u2
26.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
25.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
4.1b	1	`cosTheta_i`
2.9b	2	`u1`
2.1b	2	`u2`
2.9b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.9b	2	`(/.f32 u1 (-.f32 1 u1))`
2.1b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
2.1b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 296 to 204 computations (31.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0711662694811821	0.07307855784893036

Compiler

Compiled 20 to 16 computations (20% saved)

regimes78.0ms (0.7%)

Counts

21 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) 1)
(.f32 (+.f32 u1 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.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 u1 -1/2)))
(.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))))
(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
(.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 1 (.f32 u1 (-.f32 1 u1)))) (+.f32 u1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (*.f32 u2 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))) (+.f32 u1 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) u1)))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (+.f32 (pow.f32 u1 2) u1))

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

Calls

7 calls:

11.0ms	(/.f32 u1 (-.f32 1 u1))
11.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
11.0ms	(*.f32 314159265359/50000000000 u2)
11.0ms	u1
11.0ms	u2

Results

Error	Segments	Branch
4.1b	1	`cosTheta_i`
4.1b	1	`u1`
4.1b	1	`u2`
4.1b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.1b	1	`(/.f32 u1 (-.f32 1 u1))`
4.1b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
4.1b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 238 to 165 computations (30.7% saved)

regimes62.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) 1)
(.f32 (+.f32 u1 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.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 u1 -1/2)))
(.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 u1 (.f32 u1 u1)))))
(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (/.f32 (+.f32 u1 1) (/.f32 (-.f32 1 (*.f32 u1 u1)) u1)))
(.f32 (+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)

Calls

7 calls:

9.0ms	u1
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
9.0ms	(*.f32 314159265359/50000000000 u2)
9.0ms	u2
9.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
6.9b	1	`cosTheta_i`
6.9b	1	`u1`
6.9b	1	`u2`
6.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.9b	1	`(/.f32 u1 (-.f32 1 u1))`
6.9b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
6.9b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 177 to 129 computations (27.1% saved)

regimes30.0ms (0.2%)

Accuracy

Total -19.1b remaining (-275.1%)

Threshold costs -19.1b (-275.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
4.0ms	(*.f32 314159265359/50000000000 u2)
4.0ms	u1
4.0ms	(/.f32 u1 (-.f32 1 u1))
4.0ms	u2

Results

Error	Segments	Branch
6.9b	1	`cosTheta_i`
6.9b	1	`u1`
6.9b	1	`u2`
6.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.9b	1	`(/.f32 u1 (-.f32 1 u1))`
6.9b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
6.9b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
18×	`+-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	397
1	75	397
2	83	397
3	87	397
4	89	397

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.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 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8371831/8388608) (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 2415919/33554432) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.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 (+.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (.f32 u1 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))))) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(.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 u2 314159265359/50000000000)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8371831/8388608) (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(if (<=.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 8371831/8388608) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 u1 (.f32 u1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 2415919/33554432) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 u2 314159265359/50000000000) 2415919/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000))) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 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))) (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Compiler

Compiled 163 to 123 computations (24.5% saved)

soundness80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-/r/`
706×	`associate-r`
596×	`associate-l`
584×	`associate-/l*`
506×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	5721
1	1152	5445
2	5528	5321

Stop Event

1×	node limit

Compiler

Compiled 31 to 22 computations (29% saved)

end72.0ms (0.6%)

Compiler: Compiled 139 to 94 computations (32.4% 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