Details

analyze157.0ms (1.5%)

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)

sample2.0s (18.6%)

Results

2.0s	8256×	body	256	valid
1.0ms	3×	body	256	precondition

Bogosity

preprocess46.0ms (0.4%)

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)

simplify14.0ms (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

Accurracy

99.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize46.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	99.6%	(/.f32 u1 (-.f32 1 u1))
✓	99.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series7.0ms (0.1%)

Counts

4 → 40

Calls

15 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

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

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

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

222 → 340

Calls

Call 1

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

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

eval170.0ms (1.6%)

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

prune96.0ms (0.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	319	21	340
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	319	22	341

Accurracy

99.9%

Counts

341 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.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))))
▶	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	98.5%	(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
	98.6%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	98.7%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	98.7%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.6%	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	80.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	86.1%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.9%	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	87.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	74.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	80.3%	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	99.0%	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	77.6%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
▶	89.3%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 686 to 547 computations (20.3% saved)

localize213.0ms (2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f32 u1 (-.f32 1 u1))
✓	99.4%	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.0%	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
	98.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 51 to 37 computations (27.5% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	0	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
0.0ms	u1	@	inf	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
0.0ms	u1	@	-inf	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
0.0ms	u1	@	inf	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`associate-*r/`
962×	`associate-*l/`
790×	`associate-/r*`
632×	`associate-/l*`
438×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	309	52
2	3781	52

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))

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

Outputs

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

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

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1608×	`associate-/l*`
1546×	`associate-/r*`
820×	`*-commutative`
674×	`associate-*r/`
588×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	4203
1	665	4125
2	2234	3989

Stop Event

1×	node limit

Counts

99 → 172

Calls

Call 1

Inputs
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 1)
(*.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))
(.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 u1 3/2) (pow.f32 (/.f32 1 (-.f32 1 u1)) 3/2))
(*.f32 (pow.f32 1 3/2) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 3/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2))
(/.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (-.f32 1 u1) u1))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 u1)) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) u1) (-.f32 1 u1))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 u1)) (+.f32 -1 u1))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 1)) (-.f32 1 u1))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -1) (neg.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (neg.f32 u1))) (neg.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
(/.f32 (*.f32 u1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 1 u1))
(/.f32 (*.f32 (neg.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 -1 u1))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))
(/.f32 (*.f32 (/.f32 u1 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 1 u1))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 -1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (neg.f32 (neg.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (+.f32 -1 u1)))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(exp.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 1))
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 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 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (-.f32 1 u1) u1)))
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (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 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 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))

Outputs
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 15/8 (fabs.f32 (pow.f32 u1 7/2)) (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (*.f32 35/16 (sqrt.f32 (pow.f32 u1 9)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (*.f32 15/8 (fabs.f32 (pow.f32 u1 7/2)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (*.f32 3/2 (sqrt.f32 -1)) u1))
(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (*.f32 3/2 (sqrt.f32 -1)) u1))
(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(.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 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(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 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 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 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(+.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 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (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 (pow.f32 u1 3) (sqrt.f32 -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 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) -1/2) (/.f32 (pow.f32 u1 3) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(.f32 (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 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1/2) (/.f32 u1 (sqrt.f32 -1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (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 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 1/2 (/.f32 3/8 u1))))
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(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (+.f32 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 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))))
(/.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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (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 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 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)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (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 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 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))))))
(.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 u1 -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(/.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))))
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(/.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))))
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(/.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))))
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
(/.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))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (-.f32 1 u1))))
(log.f32 (exp.f32 (/.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) 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))))
(log.f32 (+.f32 1 (expm1.f32 (/.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) 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))))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3))
(/.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))))
(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 (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) 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))))
(exp.f32 (log.f32 (/.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) 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))))
(exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))
(/.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))))
(log1p.f32 (expm1.f32 (/.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) 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))))

localize21.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	99.6%	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize52.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f32 1 (-.f32 1 u1))
✓	99.4%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	99.1%	(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
	98.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 50 to 37 computations (26% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

Outputs

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

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

232 → 341

Calls

Call 1

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

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

localize57.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(sqrt.f32 (-.f32 1 u1))
✓	99.4%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.1%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	98.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 42 to 28 computations (33.3% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

15 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`associate-/r*`
1396×	`associate-*r/`
1342×	`associate-/l*`
1244×	`associate-*l/`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	285	69
2	3602	69

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

Outputs

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

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

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

simplify191.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-+r-`
1018×	`fma-def`
850×	`+-commutative`
590×	`associate-/l/`
534×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	4827
1	742	4705
2	2974	4549
3	7608	4549

Stop Event

1×	node limit

Counts

127 → 183

Calls

Call 1

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

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

localize66.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	99.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.9%	(*.f32 314159265359/50000000000 u2)
✓	96.7%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 64 to 46 computations (28.1% saved)

series71.0ms (0.7%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	u2	@	-inf	(log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
24.0ms	u2	@	inf	(log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
1.0ms	u2	@	0	(log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
1.0ms	u1	@	inf	(log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
1.0ms	u1	@	0	(log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	295	70
2	3502	70

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 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simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1422×	`associate-/r*`
1168×	`distribute-lft-in`
1138×	`distribute-rgt-in`
586×	`associate-+r+`
584×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	8167
1	967	7737
2	3604	7725

Stop Event

1×	node limit

Counts

147 → 230

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

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

eval755.0ms (7%)

Compiler: Compiled 29248 to 21809 computations (25.4% saved)

prune742.0ms (6.9%)

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	1405	21	1426
Fresh	6	10	16
Picked	0	1	1
Done	0	5	5
Total	1411	37	1448

Accurracy

100.0%

Counts

1448 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	88.7%	(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	87.9%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
✓	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	97.9%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))))
▶	98.6%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
▶	98.7%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	98.7%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	77.4%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	77.4%	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	80.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	87.5%	(.f32 (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	87.5%	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	98.9%	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	90.1%	(.f32 (sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	86.1%	(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 1 (.f32 u1 u1))) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	74.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	80.3%	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	99.0%	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	74.2%	(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	69.1%	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	77.6%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	77.6%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	77.5%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	61.5%	(sqrt.f32 u1)
	98.1%	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))
	76.0%	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
✓	89.3%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	77.5%	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))

Compiler

Compiled 1022 to 807 computations (21% saved)

localize55.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
	99.6%	(/.f32 u1 (-.f32 1 u1))
✓	99.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓	98.7%	(.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	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

129 → 164

Calls

Call 1

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

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

localize9.0ms (0.1%)

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

localize13.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(sqrt.f32 (fma.f32 u1 u1 u1))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`add-sqr-sqrt`
1072×	`*-un-lft-identity`
1012×	`pow1`
992×	`add-cube-cbrt`
982×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	117	11
2	1363	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(sqrt.f32 (fma.f32 u1 u1 u1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (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 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 (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 (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 (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 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 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 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))))))))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

974×	`unswap-sqr`
884×	`*-commutative`
736×	`associate-+l+`
654×	`associate-/r*`
632×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	677
1	159	571
2	392	471
3	1020	439
4	3190	439

Stop Event

1×	node limit

Counts

29 → 56

Calls

Call 1

Inputs
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 (+.f32 1 (hypot.f32 u1 (sqrt.f32 u1))) 1)
(*.f32 (hypot.f32 u1 (sqrt.f32 u1)) 1)
(*.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 (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 (pow.f32 (cbrt.f32 (fma.f32 u1 u1 u1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 u1 u1 u1))))
(*.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))
(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))))
(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))
(exp.f32 (log.f32 (hypot.f32 u1 (sqrt.f32 u1))))
(log1p.f32 (expm1.f32 (hypot.f32 u1 (sqrt.f32 u1))))

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

localize44.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(sqrt.f32 (/.f32 (-.f32 1 u1) u1))
✓	99.5%	(/.f32 (-.f32 1 u1) u1)
✓	99.1%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	98.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series4.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite140.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1484×	`associate-/l*`
622×	`associate-/r/`
476×	`distribute-rgt-in`
436×	`associate-/l/`
436×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	273	63
2	3575	63

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

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

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

simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1288×	`associate-/r/`
902×	`distribute-lft-neg-out`
676×	`distribute-rgt-neg-out`
508×	`associate-r`
506×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	488	7377
1	1255	7039
2	4721	6901

Stop Event

1×	node limit

Counts

213 → 308

Calls

Call 1

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

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

localize79.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	99.5%	(sqrt.f32 (-.f32 1 u1))
✓	99.0%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	98.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 44 to 31 computations (29.5% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite135.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	291	60
2	3788	60

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

simplify129.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1438×	`associate-/r/`
810×	`distribute-lft-in`
808×	`distribute-rgt-in`
494×	`*-commutative`
480×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	7072
1	1060	6740
2	3854	6634

Stop Event

1×	node limit

Counts

152 → 215

Calls

Call 1

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

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

eval595.0ms (5.5%)

Compiler: Compiled 18647 to 13825 computations (25.9% saved)

prune386.0ms (3.6%)

Pruning

50 alts after pruning (42 fresh and 8 done)

	Pruned	Kept	Total
New	921	22	943
Fresh	6	20	26
Picked	1	0	1
Done	2	8	10
Total	930	50	980

Accurracy

100.0%

Counts

980 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	88.7%	(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	69.0%	(hypot.f32 u1 (sqrt.f32 u1))
	87.9%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
✓	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	91.8%	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/2 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	74.2%	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	84.4%	(/.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (-.f32 1 u1))))
	98.4%	(/.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
	98.7%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	98.0%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2))
	98.8%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓	98.7%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	74.1%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1)))
	98.6%	(/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (-.f32 (.f32 u1 u1) 1))) (*.f32 u1 (-.f32 u1 1)))))
	96.4%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	77.4%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	77.4%	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	4.5%	(-.f32 -1/2 u1)
	13.5%	(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
	19.9%	(+.f32 u1 1/2)
▶	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	98.9%	(.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	80.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	87.5%	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	87.5%	(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	95.5%	(.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))))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	90.1%	(.f32 (sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	86.1%	(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 1 (.f32 u1 u1))) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	74.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	74.3%	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	80.3%	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	99.0%	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	77.6%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	77.6%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	77.5%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
✓	61.5%	(sqrt.f32 u1)
▶	4.9%	(neg.f32 u1)
	76.0%	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
✓	89.3%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	77.5%	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
	18.7%	u1

Compiler

Compiled 1351 to 1069 computations (20.9% saved)

localize62.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(/.f32 u1 (-.f32 1 u1))
✓	99.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	98.9%	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
✓	96.9%	(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

Compiler

Compiled 49 to 37 computations (24.5% saved)

series2.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs

(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

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

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

Outputs

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

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

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

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 128

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize12.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.3%	(hypot.f32 u1 (sqrt.f32 u1))

Compiler

Compiled 10 to 5 computations (50% saved)

series2.0ms (0%)

Counts

1 → 2

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(hypot.f32 u1 (sqrt.f32 u1))
1.0ms	u1	@	-inf	(hypot.f32 u1 (sqrt.f32 u1))
0.0ms	u1	@	inf	(hypot.f32 u1 (sqrt.f32 u1))

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`add-sqr-sqrt`
1040×	`*-un-lft-identity`
978×	`pow1`
960×	`add-cube-cbrt`
950×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	117	11
2	1337	11

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(hypot.f32 u1 (sqrt.f32 u1))

Outputs

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

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1040×	`associate-/l*`
808×	`associate-/r*`
802×	`*-commutative`
638×	`associate-r`
522×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	397
1	78	319
2	368	241
3	1638	241
4	3717	241
5	5253	241

Stop Event

1×	node limit

Counts

19 → 23

Calls

Call 1

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

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

localize49.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(/.f32 (-.f32 1 u1) u1)
✓	99.4%	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.1%	(/.f32 1 (/.f32 (-.f32 1 u1) u1))
	98.9%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 50 to 36 computations (28% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite79.0ms (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	58
1	295	46
2	3769	46

Stop Event

1×	node limit

Counts

2 → 105

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)))

Outputs

((#(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 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (/.f32 1 (-.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 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -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 (/.f32 1 u1) -1) -2)) (cbrt.f32 (/.f32 u1 (-.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 1 (-.f32 1 u1)) (pow.f32 (/.f32 1 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 (/.f32 u1 (-.f32 1 u1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (/.f32 u1 (-.f32 1 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 (sqrt.f32 u1) (-.f32 1 u1)) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (-.f32 1 u1)) (cbrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) -1) -1)))) (#(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 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 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))))) (#(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 (pow.f32 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simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1304×	`distribute-lft-in`
1264×	`distribute-rgt-in`
812×	`associate-/r/`
772×	`associate-/l/`
452×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	5043
1	1083	4817
2	4067	4815

Stop Event

1×	node limit

Counts

137 → 228

Calls

Call 1

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

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

localize69.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	99.0%	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
	98.9%	(*.f32 314159265359/50000000000 u2)
✓	95.6%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series66.0ms (0.6%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
13.0ms	u2	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
1.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`associate-*r/`
972×	`associate-*l/`
792×	`associate-/r*`
630×	`associate-/l*`
340×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	342	50
2	4070	50

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs

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

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

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-/l*`
704×	`associate-*r/`
600×	`distribute-lft-in`
598×	`distribute-rgt-in`
548×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	4884
1	864	4570
2	2982	4426

Stop Event

1×	node limit

Counts

106 → 162

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6)))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 35/16 (sqrt.f32 -1)) (+.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3))))) (.f32 1/8 (sqrt.f32 -1)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 1/2 (.f32 (pow.f32 (*.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 (.f32 (sqrt.f32 -1) 1) 1/3) (/.f32 1 u1))) (.f32 -1/3 (/.f32 (-.f32 (.f32 -35/16 (sqrt.f32 -1)) (+.f32 (.f32 -1 (.f32 (pow.f32 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 -1)) (+.f32 (.f32 1/4 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)) (.f32 1/2 (pow.f32 (.f32 (pow.f32 (sqrt.f32 -1) 5) 1) 1/3)))))) (.f32 -1/8 (sqrt.f32 -1)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (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))))
(+.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 (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 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.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 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.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 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.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))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 1/2))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) 1/3) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) 1/3))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1))))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/3) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (pow.f32 1 1/3) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/3) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(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)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 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 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 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 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (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 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 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6)))
(fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6)))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6))))
(fma.f32 1/3 (.f32 u1 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (.f32 1/3 (.f32 (-.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/4 (pow.f32 (.f32 1 (pow.f32 u1 17)) 1/6)))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7))))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 u1) (.f32 1/2 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)))))
(fma.f32 1/3 (.f32 u1 (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) 35/16) (fma.f32 (cbrt.f32 (.f32 u1 u1)) (+.f32 (.f32 15/8 (sqrt.f32 (pow.f32 u1 3))) (.f32 -3/4 (pow.f32 (pow.f32 u1 17) 1/6))) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7)))))) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6)))))
(fma.f32 1/3 (.f32 u1 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4))) (fma.f32 1/3 (.f32 (.f32 u1 u1) (-.f32 (.f32 (sqrt.f32 (pow.f32 u1 3)) 35/16) (fma.f32 (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 3)) (.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/4)) (cbrt.f32 (.f32 u1 u1)) (.f32 1/8 (sqrt.f32 (pow.f32 u1 7)))))) (fma.f32 1/2 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 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 (-.f32 1 u1))) (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 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 (/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 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))))))
(.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 u1 -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(/.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)))
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(/.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)))
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(/.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)))
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
(/.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)))
(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 (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) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3))
(/.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)))
(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 (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) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(exp.f32 (log.f32 (/.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) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))
(/.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)))
(log1p.f32 (expm1.f32 (/.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) u1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))

eval531.0ms (4.9%)

Compiler: Compiled 18404 to 13994 computations (24% saved)

prune290.0ms (2.7%)

Pruning

52 alts after pruning (40 fresh and 12 done)

	Pruned	Kept	Total
New	860	5	865
Fresh	2	35	37
Picked	0	1	1
Done	1	11	12
Total	863	52	915

Accurracy

100.0%

Counts

915 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.8%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	88.7%	(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	69.0%	(hypot.f32 u1 (sqrt.f32 u1))
	87.9%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
✓	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	91.8%	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/2 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	74.2%	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	84.4%	(/.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (-.f32 1 u1))))
	98.4%	(/.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
	98.7%	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	98.0%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2))
	98.8%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓	98.7%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	74.1%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1)))
	98.6%	(/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (-.f32 (.f32 u1 u1) 1))) (*.f32 u1 (-.f32 u1 1)))))
	96.4%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	77.4%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	77.4%	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	4.5%	(-.f32 -1/2 u1)
	13.5%	(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
	19.9%	(+.f32 u1 1/2)
✓	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	98.2%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	98.9%	(.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	80.0%	(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	87.5%	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	87.5%	(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	98.6%	(.f32 (sqrt.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 -1 (/.f32 1 (.f32 u1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	74.2%	(.f32 (sqrt.f32 (/.f32 1 (/.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.8%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	90.1%	(.f32 (sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	86.1%	(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	98.6%	(.f32 (sqrt.f32 (.f32 (+.f32 1 (/.f32 1 u1)) (/.f32 1 (+.f32 (/.f32 1 (.f32 u1 u1)) -1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 1 (.f32 u1 u1))) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	74.2%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	74.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	80.3%	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	96.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	77.6%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	77.6%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	77.5%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
✓	61.5%	(sqrt.f32 u1)
✓	4.9%	(neg.f32 u1)
	76.0%	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
✓	89.3%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	77.5%	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
	18.7%	u1

Compiler

Compiled 772 to 614 computations (20.5% saved)

regimes518.0ms (4.8%)

Counts

70 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(hypot.f32 u1 (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.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 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.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 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(.f32 (sqrt.f32 (.f32 (+.f32 (+.f32 u1 1) (.f32 u1 u1)) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (-.f32 1 u1))))
(.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 (+.f32 1 (/.f32 1 u1)) (/.f32 1 (+.f32 (/.f32 1 (.f32 u1 u1)) -1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 (.f32 u1 u1) (.f32 u1 u1)))) (+.f32 1 (.f32 u1 u1))) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (.f32 (.f32 u1 u1) (-.f32 (.f32 u1 u1) 1))) (*.f32 u1 (-.f32 u1 1)))))
(.f32 (cbrt.f32 (pow.f32 u1 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2))
(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (fma.f32 -1/8 (.f32 u1 u1) (.f32 -1/2 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))))))
(/.f32 (sqrt.f32 u1) (log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (log.f32 (exp.f32 (sqrt.f32 (-.f32 1 u1)))))
(pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))

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

Calls

8 calls:

104.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
76.0ms	u1
72.0ms	(/.f32 u1 (-.f32 1 u1))
71.0ms	u2
33.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
99.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
99.0%	1	`(/.f32 u1 (-.f32 1 u1))`
99.0%	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
99.0%	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 911 to 650 computations (28.6% saved)

regimes273.0ms (2.5%)

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

73.0ms	(/.f32 u1 (-.f32 1 u1))
55.0ms	u2
42.0ms	(*.f32 314159265359/50000000000 u2)
29.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
27.0ms	u1

Results

Accuracy	Segments	Branch
87.5%	1	`cosTheta_i`
95.5%	2	`u1`
96.4%	2	`u2`
95.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
95.5%	2	`(/.f32 u1 (-.f32 1 u1))`
96.4%	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
96.4%	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 257 to 183 computations (28.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14984747767448425	0.15269078314304352

Compiler

Compiled 20 to 16 computations (20% saved)

regimes168.0ms (1.6%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

7 calls:

27.0ms	(*.f32 314159265359/50000000000 u2)
26.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
26.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
25.0ms	u1
24.0ms	u2

Results

Accuracy	Segments	Branch
87.5%	1	`cosTheta_i`
91.4%	2	`u1`
94.0%	2	`u2`
91.4%	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
91.4%	2	`(/.f32 u1 (-.f32 1 u1))`
94.0%	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
94.0%	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 235 to 166 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14984747767448425	0.15269078314304352

Compiler

Compiled 20 to 16 computations (20% saved)

regimes136.0ms (1.3%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
87.5%	1	`cosTheta_i`
91.4%	2	`u1`
94.0%	2	`u2`
91.4%	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
91.4%	2	`(/.f32 u1 (-.f32 1 u1))`
94.0%	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
94.0%	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 208 to 146 computations (29.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9883654117584229	0.9887938499450684

Compiler

Compiled 20 to 16 computations (20% saved)

regimes52.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(hypot.f32 u1 (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))

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

Calls

5 calls:

10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
10.0ms	(/.f32 u1 (-.f32 1 u1))
10.0ms	u2
10.0ms	cosTheta_i
9.0ms	u1

Results

Accuracy	Segments	Branch
87.5%	1	`cosTheta_i`
87.5%	1	`u1`
87.5%	1	`u2`
87.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
87.5%	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 171 to 118 computations (31% saved)

regimes44.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
87.5%	1	`cosTheta_i`
87.5%	1	`u1`
87.5%	1	`u2`
87.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
87.5%	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 120 to 86 computations (28.3% saved)

regimes37.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))

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

Calls

5 calls:

8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
7.0ms	u1
7.0ms	cosTheta_i
6.0ms	(/.f32 u1 (-.f32 1 u1))
6.0ms	u2

Results

Accuracy	Segments	Branch
77.6%	1	`cosTheta_i`
77.6%	1	`u1`
77.6%	1	`u2`
77.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
77.6%	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 92 to 67 computations (27.2% saved)

regimes28.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))
(sqrt.f32 u1)

Outputs
(sqrt.f32 u1)

Calls

3 calls:

17.0ms	cosTheta_i
5.0ms	u2
4.0ms	u1

Results

Accuracy	Segments	Branch
61.5%	1	`cosTheta_i`
61.5%	1	`u1`
61.5%	1	`u2`

Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes15.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)
(+.f32 u1 1/2)
(-.f32 -1/2 u1)
(+.f32 (/.f32 1/8 u1) (-.f32 -1/2 u1))

Outputs
(+.f32 u1 1/2)

Calls

3 calls:

6.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
19.9%	1	`cosTheta_i`
19.9%	1	`u1`
19.9%	1	`u2`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes10.0ms (0.1%)

Accuracy

Total -4.8b remaining (-18.6%)

Threshold costs -4.8b (-18.6%)

Counts

2 → 1

Calls

Call 1

Inputs
u1
(neg.f32 u1)

Outputs
u1

Calls

3 calls:

4.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
18.7%	1	`cosTheta_i`
18.7%	1	`u1`
18.7%	1	`u2`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
12×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	398
1	61	398
2	65	398
3	67	398
4	68	398

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5033165/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5033165/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1))))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8292139/8388608) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(.f32 (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(+.f32 u1 1/2)
u1

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5033165/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5033165/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (*.f32 u1 (+.f32 u1 1)))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 5033165/33554432) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 u1))))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8292139/8388608) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8292139/8388608) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(.f32 (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(+.f32 u1 1/2)
u1

Compiler

Compiled 169 to 131 computations (22.5% saved)

soundness0.0ms (0%)

end77.0ms (0.7%)

Compiler: Compiled 142 to 100 computations (29.6% 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