Details

analyze156.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.2s (18.2%)

Results

2.2s	8256×	body	256	valid
2.0ms	11×	body	256	precondition

Bogosity

preprocess14.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series9.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	inf	(.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	@	0	(.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	u2	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-*r/`
1162×	`associate-*l/`
864×	`associate-/r*`
664×	`associate-/l*`
420×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	265	64
2	3290	64

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-/r/`
712×	`associate-r`
604×	`associate-l`
584×	`associate-/l*`
506×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	5683
1	1153	5389
2	5537	5265

Stop Event

1×	node limit

Counts

175 → 259

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

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

eval99.0ms (0.8%)

Compiler: Compiled 5023 to 3705 computations (26.2% saved)

prune70.0ms (0.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	236	23	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	236	24	260

Error

0.0b

Counts

260 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	3.4b	(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	2.4b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
	1.6b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
	0.5b	(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.5b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
▶	3.4b	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.5b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
▶	0.3b	(.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	5.8b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	1.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	6.3b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
	2.1b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 790 to 623 computations (21.1% saved)

localize82.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1)
✓	0.1b	(+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))
✓	0.1b	(.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 111 to 61 computations (45% saved)

series6.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite117.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`associate-/r*`
1316×	`associate-/l*`
836×	`associate-/r/`
354×	`add-sqr-sqrt`
342×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	107
1	367	107
2	4697	107

Stop Event

1×	node limit

Counts

3 → 264

Calls

Call 1

Inputs

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

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

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

Outputs
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Outputs

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simplify227.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

964×	`associate-/l/`
898×	`associate-/l*`
842×	`*-commutative`
820×	`associate-r`
692×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	791	21958
1	2359	20788

Stop Event

1×	node limit

Counts

308 → 514

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

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

localize77.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

39 → 70

Calls

Call 1

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

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

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.1b	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.1b	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 43 to 26 computations (39.5% saved)

series4.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1.0ms	u1	@	inf	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
1.0ms	u2	@	inf	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
0.0ms	u2	@	0	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
0.0ms	u1	@	-inf	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`associate-*r/`
1230×	`associate-*l/`
854×	`associate-/r*`
662×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	286	52
2	3549	52

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1254×	`unswap-sqr`
1104×	`associate-*r/`
1042×	`associate-/r/`
932×	`associate-/l/`
716×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	4710
1	642	4490
2	3925	4394

Stop Event

1×	node limit

Counts

112 → 164

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))))) (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 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (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))))) (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 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (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))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1))
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(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (*.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) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 -1/2 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1) (.f32 (sqrt.f32 -1) u1))))))
(.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1))
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(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (pow.f32 u1 2))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)) (pow.f32 u1 3))))))
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
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(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(-.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(-.f32 (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(/.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1)) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1))
(/.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (pow.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3))) (-.f32 (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))
(/.f32 (.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
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(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
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(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 2)))
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(log.f32 (+.f32 1 (expm1.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
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Outputs
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(exp.f32 (.f32 (log.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1))
(log1p.f32 (expm1.f32 (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1))
(+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(+.f32 1 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(.f32 (sqrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (sqrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (pow.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) 2))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(.f32 (pow.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 2) (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
(/.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))
(/.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))
(/.f32 (+.f32 1 (pow.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3)) (-.f32 (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)))
(/.f32 (+.f32 1 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) (-.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(/.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3) 1) (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(/.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3) 1) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))))
(/.f32 (.f32 1 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1)) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1))
(/.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))
(/.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))
(/.f32 (.f32 1 (+.f32 1 (pow.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3))) (-.f32 (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))
(/.f32 (+.f32 1 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) (-.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(/.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3) 1) (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(/.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3) 1) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1))
(/.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))
(/.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))
(/.f32 (.f32 (+.f32 1 (pow.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3)) 1) (-.f32 (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))
(/.f32 (+.f32 1 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) (-.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(/.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3) 1) (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(/.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f32 (.f32 u2 u2) 3) 1) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (.f32 u2 (*.f32 u2 98696044010906577398881/5000000000000000000000))))
(pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(pow.f32 (sqrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) 2)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(pow.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) 3)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(pow.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 3) 1/3)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(sqrt.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 2))
(fabs.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(fabs.f32 (fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1))
(log.f32 (exp.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(cbrt.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 3))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(expm1.f32 (log1p.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(exp.f32 (log.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(exp.f32 (.f32 (log.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(log1p.f32 (expm1.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)

localize71.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓	0.1b	(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(.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	@	inf	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
0.0ms	u2	@	0	(.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	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`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)

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

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

Outputs

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

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

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1194×	`unswap-sqr`
1122×	`associate-/l*`
914×	`*-commutative`
860×	`times-frac`
774×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	3865
1	673	3799
2	2425	3711

Stop Event

1×	node limit

Counts

129 → 165

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

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

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.3b	(pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)
	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 55 to 41 computations (25.5% saved)

series6.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

96 → 148

Calls

Call 1

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

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

eval1.2s (9.4%)

Compiler: Compiled 41308 to 27616 computations (33.1% saved)

prune568.0ms (4.6%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1576	27	1603
Fresh	14	4	18
Picked	1	0	1
Done	2	3	5
Total	1593	34	1627

Error

0.0b

Counts

1627 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
	6.0b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	3.6b	(/.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) -1) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	3.5b	(/.f32 (.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1))
	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
▶	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.0b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	3.4b	(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	10.3b	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1))
▶	3.5b	(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.4b	(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.4b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	30.5b	(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) 3))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	5.9b	(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1))
	13.6b	(.f32 (sqrt.f32 (+.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) 1) (/.f32 u1 (/.f32 (-.f32 1 (.f32 u1 u1)) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.4b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓	5.8b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	1.3b	(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
	5.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	5.9b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	11.6b	(sqrt.f32 u1)
	6.3b	(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))
	2.1b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))

Compiler

Compiled 1090 to 835 computations (23.4% saved)

localize99.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
✓	1.0b	(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

Compiler

Compiled 49 to 37 computations (24.5% saved)

series5.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)

rewrite79.0ms (0.6%)

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 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(*.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)))))))))

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 128

Calls

Call 1

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

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

localize6.0ms (0%)

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

localize165.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
✓	0.4b	(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
✓	0.5b	(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))

Compiler

Compiled 109 to 62 computations (43.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
0.0ms	u2	@	0	(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))
0.0ms	u2	@	inf	(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))
0.0ms	u2	@	0	(/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))
0.0ms	u2	@	inf	(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))

rewrite131.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`associate-/r/`
1256×	`associate-/l/`
776×	`distribute-rgt-in`
738×	`distribute-lft-in`
254×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	77
1	252	41
2	3625	41

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs

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

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

(/.f32 (-.f32 (*.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (-.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) (*.f32 -1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))) (*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 4) (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))) (/.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 6) (+.f32 (pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 4) (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))) (/.f32 1 (+.f32 (pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 4) (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)) (-.f32 (neg.f32 (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)) (+.f32 (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 (*.f32 (pow.f32 (*.f32 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000) (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))) (/.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -98696044010906577398881/5000000000000000000000) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)) (neg.f32 (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)) (*.f32 1 (neg.f32 (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 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simplify143.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1480×	`associate-/r/`
812×	`associate-r`
776×	`+-commutative`
664×	`associate-l`
620×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	8228
1	1098	6888
2	5849	6750

Stop Event

1×	node limit

Counts

194 → 239

Calls

Call 1

Inputs
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
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(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
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(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
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(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
1
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(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)

Outputs
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
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(.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 -1))))
(.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (/.f32 (-.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 2) 2) (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 -1)))
(pow.f32 (sqrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) 2)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(pow.f32 (cbrt.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) 3)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(pow.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 3) 1/3)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(pow.f32 (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) -1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(neg.f32 (/.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (-.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(/.f32 (.f32 (neg.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1)) 1) (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(/.f32 (+.f32 (.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) 1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(/.f32 (+.f32 1 (.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(sqrt.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 2))
(fabs.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(log.f32 (exp.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(cbrt.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) 3))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) 3) (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) 3)))
(expm1.f32 (log1p.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(exp.f32 (log1p.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))
(exp.f32 (log1p.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(exp.f32 (.f32 (log1p.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1))
(exp.f32 (log1p.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))))
(exp.f32 (log1p.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(log1p.f32 (expm1.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(fma.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) (.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 1)
(+.f32 (pow.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 2) 1)
(+.f32 1 (pow.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/5000000000000000000000)) 2))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)) (cbrt.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1)
(fma.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))) (cbrt.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1)
(fma.f32 (cbrt.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))) (cbrt.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))) 1)
(fma.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (/.f32 1 u1) -1)
✓	0.1b	(sqrt.f32 (+.f32 (/.f32 1 u1) -1))
✓	0.3b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
✓	0.4b	(*.f32 u2 314159265359/50000000000)

Compiler

Compiled 40 to 31 computations (22.5% saved)

series4.0ms (0%)

Counts

4 → 52

Calls

15 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`associate-*r/`
1098×	`associate-*l/`
944×	`associate-/r*`
648×	`associate-/l*`
380×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	288	70
2	3463	70

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.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 314159265359/50000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 314159265359/50000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (/.f32 -1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (sqrt.f32 (+.f32 1 (/.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) -1))) 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) -1)))) 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) -1)))) 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) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (.f32 u2 314159265359/50000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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-1 u1) (pow.f32 u1 -2))))) (-.f32 (+.f32 (.f32 (pow.f32 u1 -3) (pow.f32 u1 -3)) 1) (.f32 (pow.f32 u1 -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) 1) (+.f32 1 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) (sqrt.f32 (+.f32 1 (/.f32 1 u1)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) (.f32 (cbrt.f32 (+.f32 1 (/.f32 1 u1))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) 1) (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) (.f32 (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (+.f32 0 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 (/.f32 1 u1)) -1)))))

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-/l/`
1018×	`associate-/r/`
628×	`associate-+r+`
604×	`+-commutative`
588×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	483	8098
1	1263	7888
2	5187	7872

Stop Event

1×	node limit

Counts

222 → 281

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)
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 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 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (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 -1)
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1)))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(sqrt.f32 -1)
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1)))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
(log.f32 (pow.f32 (exp.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 314159265359/50000000000)) 1))
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(.f32 1 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(.f32 (sqrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(.f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1))))
(.f32 (cbrt.f32 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (/.f32 -1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (/.f32 -1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (/.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(.f32 (/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 2))) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(.f32 (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(neg.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (/.f32 1 u1) -1)))
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))
(expm1.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1)
(*.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 1 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 1 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3))) 1) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2))) 1) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1/2)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(-.f32 (/.f32 1 u1) 1)
(-.f32 (+.f32 1 (/.f32 1 u1)) 2)
(-.f32 (exp.f32 (log.f32 (+.f32 0 (/.f32 1 u1)))) 1)
(-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1))))
(-.f32 (+.f32 -1 (+.f32 1 (/.f32 1 u1))) 1)
(*.f32 1 (+.f32 (/.f32 1 u1) -1))
(*.f32 (+.f32 (/.f32 1 u1) -1) 1)
(*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))
(.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (+.f32 -1 (pow.f32 u1 -2)) (/.f32 1 (+.f32 1 (/.f32 1 u1))))
(*.f32 (+.f32 -1 (pow.f32 u1 -3)) (/.f32 1 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (+.f32 1 (pow.f32 u1 -1/2)) (-.f32 (pow.f32 u1 -1/2) 1))
(*.f32 (/.f32 1 (+.f32 1 (/.f32 1 u1))) (+.f32 -1 (pow.f32 u1 -2)))
(*.f32 (/.f32 1 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) (+.f32 -1 (pow.f32 u1 -3)))
(*.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) (+.f32 -1 (pow.f32 u1 -2))) (+.f32 (/.f32 1 u1) -1))
(*.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) (-.f32 (pow.f32 u1 -3) -1)) (+.f32 1 (+.f32 (pow.f32 u1 -2) (/.f32 -1 u1))))
(.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) (-.f32 (/.f32 (pow.f32 u1 -3) u1) (.f32 (-.f32 1 (/.f32 -1 u1)) (-.f32 1 (/.f32 -1 u1))))) (+.f32 (+.f32 -1 (pow.f32 u1 -2)) (/.f32 -1 u1)))
(.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 (pow.f32 u1 -2) 3) (pow.f32 (-.f32 1 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 (pow.f32 u1 -3) u1) (-.f32 (.f32 (-.f32 1 (/.f32 -1 u1)) (-.f32 1 (/.f32 -1 u1))) (*.f32 (pow.f32 u1 -2) (-.f32 1 (/.f32 -1 u1))))))
(/.f32 1 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (+.f32 -1 (pow.f32 u1 -2)) (+.f32 1 (/.f32 1 u1)))
(/.f32 (+.f32 1 (/.f32 1 u1)) (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (/.f32 1 u1) -1)))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (/.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))))
(/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (/.f32 (+.f32 1 (/.f32 1 u1)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (/.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3)))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (/.f32 (+.f32 1 (/.f32 1 u1)) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2)))))
(/.f32 (-.f32 (.f32 (pow.f32 u1 -3) (pow.f32 u1 -3)) 1) (.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))) (-.f32 (pow.f32 u1 -3) -1)))
(/.f32 (-.f32 1 (pow.f32 u1 -2)) (-.f32 -1 (/.f32 1 u1)))
(/.f32 (-.f32 (/.f32 (pow.f32 u1 -3) u1) 1) (*.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 1 (pow.f32 u1 -2))))
(/.f32 (+.f32 -1 (pow.f32 (pow.f32 u1 -3) 3)) (.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))) (-.f32 (+.f32 (.f32 (pow.f32 u1 -3) (pow.f32 u1 -3)) 1) (*.f32 (pow.f32 u1 -3) -1))))
(/.f32 (-.f32 (pow.f32 (pow.f32 u1 -2) 3) 1) (*.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (/.f32 (pow.f32 u1 -3) u1) (+.f32 1 (pow.f32 u1 -2)))))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -2))) (neg.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -3))) (neg.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 1 (-.f32 1 (pow.f32 u1 -2))) (-.f32 -1 (/.f32 1 u1)))
(/.f32 (*.f32 1 (neg.f32 (+.f32 -1 (pow.f32 u1 -2)))) (neg.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 1 (neg.f32 (+.f32 -1 (pow.f32 u1 -3)))) (neg.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 u1 -2)) 1) (+.f32 1 (/.f32 1 u1)))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 u1 -3)) 1) (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))
(/.f32 (*.f32 (-.f32 1 (pow.f32 u1 -2)) 1) (-.f32 -1 (/.f32 1 u1)))
(/.f32 (*.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -2))) 1) (neg.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -3))) 1) (neg.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (-.f32 (/.f32 (pow.f32 u1 -3) u1) 1) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) (+.f32 1 (pow.f32 u1 -2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 u1 -2) 3) 1) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) (+.f32 (/.f32 (pow.f32 u1 -3) u1) (+.f32 1 (pow.f32 u1 -2))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 u1 -3) (pow.f32 u1 -3)) 1) (/.f32 1 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))) (-.f32 (pow.f32 u1 -3) -1))
(/.f32 (.f32 (+.f32 -1 (pow.f32 (pow.f32 u1 -3) 3)) (/.f32 1 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))) (-.f32 (+.f32 (.f32 (pow.f32 u1 -3) (pow.f32 u1 -3)) 1) (*.f32 (pow.f32 u1 -3) -1)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) 1) (+.f32 1 (/.f32 1 u1)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) (sqrt.f32 (+.f32 1 (/.f32 1 u1)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) (*.f32 (cbrt.f32 (+.f32 1 (/.f32 1 u1))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) 1) (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) (*.f32 (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) 1/2)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))
(expm1.f32 (log.f32 (+.f32 0 (/.f32 1 u1))))
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))
(fma.f32 1 (/.f32 1 u1) -1)
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 (/.f32 1 u1)) -1)

Outputs
(*.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)
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
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(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (/.f32 (cbrt.f32 (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)))
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (cbrt.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (/.f32 (cbrt.f32 (+.f32 1 (/.f32 1 u1))) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2)))))
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (cbrt.f32 (+.f32 1 (/.f32 1 u1)))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))
(/.f32 (*.f32 (+.f32 -1 (pow.f32 u1 -2)) 1) (+.f32 1 (/.f32 1 u1)))
(+.f32 (/.f32 1 u1) -1)
(/.f32 (*.f32 (+.f32 -1 (pow.f32 u1 -3)) 1) (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2)))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (-.f32 1 (pow.f32 u1 -2)) 1) (-.f32 -1 (/.f32 1 u1)))
(+.f32 (/.f32 1 u1) -1)
(/.f32 (*.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -2))) 1) (neg.f32 (+.f32 1 (/.f32 1 u1))))
(+.f32 (/.f32 1 u1) -1)
(/.f32 (*.f32 (neg.f32 (+.f32 -1 (pow.f32 u1 -3))) 1) (neg.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2)))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (/.f32 (sqrt.f32 (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2))) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (sqrt.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (/.f32 (sqrt.f32 (+.f32 1 (/.f32 1 u1))) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (sqrt.f32 (+.f32 1 (/.f32 1 u1)))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (/.f32 (cbrt.f32 (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)))
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (cbrt.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))
(/.f32 (*.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) (/.f32 (cbrt.f32 (+.f32 1 (/.f32 1 u1))) (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2)))))
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (cbrt.f32 (+.f32 1 (/.f32 1 u1)))) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))
(/.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (/.f32 (cbrt.f32 (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2))) (*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -3))) (/.f32 (cbrt.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1)))) (pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 4)))
(/.f32 (.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (/.f32 (cbrt.f32 (+.f32 1 (/.f32 1 u1))) (*.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(*.f32 (/.f32 (cbrt.f32 (+.f32 -1 (pow.f32 u1 -2))) (cbrt.f32 (+.f32 1 (/.f32 1 u1)))) (pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 4))
(/.f32 (*.f32 (-.f32 (/.f32 (pow.f32 u1 -3) u1) 1) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) (+.f32 1 (pow.f32 u1 -2)))
(/.f32 (/.f32 (+.f32 (/.f32 (pow.f32 u1 -3) u1) -1) (+.f32 1 (/.f32 1 u1))) (+.f32 1 (pow.f32 u1 -2)))
(/.f32 (+.f32 -1 (/.f32 (pow.f32 u1 -3) u1)) (*.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 1 (pow.f32 u1 -2))))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 u1 -2) 3) 1) (/.f32 1 (+.f32 1 (/.f32 1 u1)))) (+.f32 (/.f32 (pow.f32 u1 -3) u1) (+.f32 1 (pow.f32 u1 -2))))
(/.f32 (/.f32 (+.f32 (pow.f32 (pow.f32 u1 -2) 3) -1) (+.f32 1 (/.f32 1 u1))) (+.f32 (/.f32 (pow.f32 u1 -3) u1) (+.f32 1 (pow.f32 u1 -2))))
(/.f32 (+.f32 -1 (pow.f32 (pow.f32 u1 -2) 3)) (*.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 1 (+.f32 (pow.f32 u1 -2) (/.f32 (pow.f32 u1 -3) u1)))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 u1 -3) (pow.f32 u1 -3)) 1) (/.f32 1 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))) (-.f32 (pow.f32 u1 -3) -1))
(/.f32 (+.f32 (pow.f32 u1 -6) -1) (*.f32 (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2)) (+.f32 (pow.f32 u1 -3) 1)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -6)) (+.f32 1 (pow.f32 u1 -3))) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))
(/.f32 (.f32 (+.f32 -1 (pow.f32 (pow.f32 u1 -3) 3)) (/.f32 1 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))) (-.f32 (+.f32 (.f32 (pow.f32 u1 -3) (pow.f32 u1 -3)) 1) (*.f32 (pow.f32 u1 -3) -1)))
(/.f32 (+.f32 -1 (pow.f32 (pow.f32 u1 -3) 3)) (.f32 (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2)) (+.f32 (pow.f32 u1 -6) (-.f32 1 (.f32 -1 (pow.f32 u1 -3))))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (pow.f32 u1 -3) 3)) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1)))) (+.f32 (pow.f32 u1 -6) (-.f32 1 (neg.f32 (pow.f32 u1 -3)))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (pow.f32 u1 -3) 3)) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1)))) (+.f32 (+.f32 1 (pow.f32 u1 -3)) (pow.f32 u1 -6)))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) 1) (+.f32 1 (/.f32 1 u1)))
(+.f32 (/.f32 1 u1) -1)
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) (sqrt.f32 (+.f32 1 (/.f32 1 u1)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(+.f32 (/.f32 1 u1) -1)
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -2)) (*.f32 (cbrt.f32 (+.f32 1 (/.f32 1 u1))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))) (cbrt.f32 (+.f32 1 (/.f32 1 u1))))
(+.f32 (/.f32 1 u1) -1)
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) 1) (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2)))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2))))) (sqrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2)))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 u1 -3)) (*.f32 (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))) (cbrt.f32 (-.f32 1 (-.f32 (/.f32 -1 u1) (pow.f32 u1 -2)))))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (-.f32 1 (/.f32 -1 u1)) (pow.f32 u1 -2)))
(/.f32 (+.f32 -1 (pow.f32 u1 -3)) (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1)
(+.f32 (/.f32 1 u1) -1)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)
(+.f32 (/.f32 1 u1) -1)
(pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)
(+.f32 (/.f32 1 u1) -1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) 1/2)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))
(fabs.f32 (+.f32 (/.f32 1 u1) -1))
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)
(+.f32 (/.f32 1 u1) -1)
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))
(fabs.f32 (+.f32 (/.f32 1 u1) -1))
(log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1))))
(+.f32 (/.f32 1 u1) -1)
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))
(+.f32 (/.f32 1 u1) -1)
(expm1.f32 (log.f32 (+.f32 0 (/.f32 1 u1))))
(+.f32 (/.f32 1 u1) -1)
(exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1))
(+.f32 (/.f32 1 u1) -1)
(log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))
(+.f32 (/.f32 1 u1) -1)
(fma.f32 1 (/.f32 1 u1) -1)
(+.f32 (/.f32 1 u1) -1)
(fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)
(+.f32 (/.f32 1 u1) -1)
(fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (cbrt.f32 (/.f32 1 u1)) -1)

localize88.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
✓	0.2b	(/.f32 1 (-.f32 1 u1))
✓	0.2b	(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
	0.4b	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)

Compiler

Compiled 67 to 43 computations (35.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`add-sqr-sqrt`
1530×	`*-un-lft-identity`
1432×	`add-cube-cbrt`
1414×	`add-cbrt-cube`
1402×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	150	26
2	1936	26

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-r`
928×	`associate-l`
782×	`associate-+r+`
656×	`associate-+l-`
654×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1811
1	371	1477
2	1220	1211
3	5943	1211

Stop Event

1×	node limit

Counts

69 → 98

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

eval986.0ms (8%)

Compiler: Compiled 29243 to 21317 computations (27.1% saved)

prune354.0ms (2.9%)

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	1074	18	1092
Fresh	8	18	26
Picked	1	0	1
Done	1	6	7
Total	1084	42	1126

Error

0.0b

Counts

1126 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
	6.0b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	3.6b	(/.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) -1) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	3.5b	(/.f32 (.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1))
▶	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	1.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	8.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 1 u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1))))))
✓	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	1.3b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	6.0b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	3.4b	(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.5b	(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.5b	(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))))
	3.5b	(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)))
	10.3b	(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 u1))
▶	3.5b	(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.4b	(.f32 (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.4b	(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.5b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
	30.5b	(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) 3))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
▶	5.9b	(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1))
	14.2b	(.f32 (sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	13.6b	(.f32 (sqrt.f32 (+.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) 1) (/.f32 u1 (/.f32 (-.f32 1 (.f32 u1 u1)) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.4b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
	8.4b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓	5.8b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	5.9b	(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
	5.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
▶	5.9b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
✓	11.6b	(sqrt.f32 u1)
	6.4b	(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	2.1b	(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))

Compiler

Compiled 1409 to 1088 computations (22.8% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
	0.2b	(/.f32 1 (-.f32 1 u1))
	0.2b	(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
	0.4b	(*.f32 u2 314159265359/50000000000)

Compiler

Compiled 50 to 37 computations (26% saved)

series1.0ms (0%)

Counts

1 → 20

Calls

6 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`associate-*r/`
914×	`associate-*l/`
576×	`associate-/r*`
484×	`distribute-rgt-in`
436×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	287	33
2	3499	33

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1794×	`distribute-lft-in`
1204×	`associate-/l/`
1134×	`associate-r`
908×	`associate-l`
806×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	2018
1	362	1952
2	1135	1834
3	5178	1750

Stop Event

1×	node limit

Counts

40 → 80

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series0.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

34 → 57

Calls

Call 1

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

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

localize74.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1)
	0.4b	(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))

Compiler

Compiled 62 to 39 computations (37.1% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`associate-/r*`
912×	`associate-/l*`
664×	`associate-/r/`
356×	`add-sqr-sqrt`
340×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	351	60
2	4677	60

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)) (sqrt.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)) (pow.f32 (cbrt.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)) 2) (cbrt.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 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(*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 2) -1) (+.f32 1 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 3))) (+.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 2) (-.f32 -1 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 -1 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 3)) (-.f32 (*.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 2) (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 2)) (*.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 3) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 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(*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (+.f32 1 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 2)) (*.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) -1)) (+.f32 -1 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 2) 2) -1) (+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 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simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1342×	`unswap-sqr`
866×	`associate-+r+`
796×	`associate-+l+`
642×	`+-commutative`
546×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	9026
1	1132	8308
2	5274	8208

Stop Event

1×	node limit

Counts

166 → 221

Calls

Call 1

Inputs
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(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))))) (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 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (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))))
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Outputs
1
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(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log1p.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))
(log1p.f32 (expm1.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (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))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))

localize47.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 1 (-.f32 1 u1)))
	0.2b	(/.f32 1 (-.f32 1 u1))
✓	0.3b	(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1))

Compiler

Compiled 30 to 22 computations (26.7% saved)

series9.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	u1	@	inf	(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1))
0.0ms	u1	@	inf	(sqrt.f32 (/.f32 1 (-.f32 1 u1)))
0.0ms	u1	@	-inf	(sqrt.f32 (/.f32 1 (-.f32 1 u1)))
0.0ms	u1	@	0	(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1))
0.0ms	u1	@	-inf	(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1))

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`add-sqr-sqrt`
1936×	`*-un-lft-identity`
1802×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	207	30
2	2527	30

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-/r*`
1282×	`associate-/l*`
792×	`associate-r`
726×	`associate-l`
698×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1310
1	328	1284
2	991	1244
3	4228	1168

Stop Event

1×	node limit

Counts

56 → 82

Calls

Call 1

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

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

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
✓	0.2b	(sqrt.f32 (-.f32 1 u1))
	0.4b	(*.f32 u2 314159265359/50000000000)
✓	0.4b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))

Compiler

Compiled 44 to 31 computations (29.5% saved)

series6.0ms (0%)

Counts

3 → 40

Calls

15 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`associate-/l*`
1794×	`associate-*l/`
682×	`associate-/r/`
380×	`associate-/l/`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.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 (-.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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2)) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (*.f32 (/.f32 (sqrt.f32 u1) 1) (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (-.f32 1 u1) 1/4)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 1/4) 1) (*.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 u1 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (-.f32 1 u1))) (*.f32 (/.f32 (pow.f32 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(#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) -1) (neg.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))))) (neg.f32 (neg.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) 2))) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (*.f32 (cbrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))))) (cbrt.f32 (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))) (sqrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (/.f32 u1 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simplify144.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1520×	`distribute-lft-in`
676×	`associate-r`
552×	`times-frac`
542×	`associate-/l*`
520×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	7673
1	1215	7439
2	5269	7439

Stop Event

1×	node limit

Counts

185 → 254

Calls

Call 1

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

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

eval584.0ms (4.7%)

Compiler: Compiled 23639 to 17155 computations (27.4% saved)

prune421.0ms (3.4%)

Pruning

52 alts after pruning (42 fresh and 10 done)

	Pruned	Kept	Total
New	1102	18	1120
Fresh	7	24	31
Picked	0	1	1
Done	1	9	10
Total	1110	52	1162

Error

0.0b

Counts

1162 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
	6.0b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	3.5b	(/.f32 (.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1))
	3.6b	(/.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	3.5b	(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)))
	4.0b	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))))
✓	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	8.4b	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))))
	1.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	8.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 1 u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1))))))
✓	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	1.3b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	6.0b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.0b	(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))
	3.5b	(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.5b	(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)))
	10.3b	(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 u1))
	3.5b	(.f32 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3) (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.5b	(.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
✓	3.5b	(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.5b	(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))))
	3.5b	(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)))
	10.3b	(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (sqrt.f32 u1))
	3.4b	(.f32 (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.4b	(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.5b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
	8.8b	(.f32 (+.f32 1 (.f32 1/2 u1)) (sqrt.f32 u1))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	14.2b	(.f32 (sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	13.6b	(.f32 (sqrt.f32 (+.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) 1) (/.f32 u1 (/.f32 (-.f32 1 (.f32 u1 u1)) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.4b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
	0.4b	(.f32 (sqrt.f32 (.f32 (-.f32 (+.f32 1 (/.f32 1 (-.f32 1 u1))) 1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
	8.4b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
✓	5.8b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	16.4b	(sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1))
	15.8b	(sqrt.f32 (+.f32 1 (-.f32 (/.f32 u1 (-.f32 1 u1)) 1)))
	5.9b	(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
	5.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	5.9b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	8.1b	(sqrt.f32 (.f32 (+.f32 (+.f32 (.f32 u1 u1) 1) u1) u1))
	8.9b	(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
✓	11.6b	(sqrt.f32 u1)
	6.4b	(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
	2.1b	(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))

Compiler

Compiled 882 to 692 computations (21.5% saved)

regimes420.0ms (3.4%)

Counts

87 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(.f32 (+.f32 1 (.f32 1/2 u1)) (sqrt.f32 u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (.f32 (+.f32 (+.f32 (.f32 u1 u1) 1) u1) u1))
(sqrt.f32 (+.f32 1 (-.f32 (/.f32 u1 (-.f32 1 u1)) 1)))
(sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 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 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)))
(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)))
(.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 u1 1))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 u1))
(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1))
(.f32 (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3) (/.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 3) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1)))
(.f32 (/.f32 (-.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))) 1) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1)) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
(*.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 u2 314159265359/50000000000))))
(/.f32 (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 (.f32 (-.f32 (+.f32 1 (/.f32 1 (-.f32 1 u1))) 1) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f32 (.f32 u2 u2) (.f32 u2 u2))) -1) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.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 (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 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (-.f32 (+.f32 1 (/.f32 u1 (-.f32 1 u1))) 1)) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 (/.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (/.f32 1 (+.f32 1 (/.f32 1 u1))))))
(exp.f32 (log.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 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(log.f32 (+.f32 1 (expm1.f32 (.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 u2 314159265359/50000000000))))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (sqrt.f32 (+.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) 1) (/.f32 u1 (/.f32 (-.f32 1 (.f32 u1 u1)) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000)))) 3))

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

Calls

8 calls:

50.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
45.0ms	u2
45.0ms	(/.f32 u1 (-.f32 1 u1))
44.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
44.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.3b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.3b	1	`(/.f32 u1 (-.f32 1 u1))`
0.3b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.3b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 1324 to 923 computations (30.3% saved)

regimes254.0ms (2.1%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

8 calls:

34.0ms	u1
33.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
31.0ms	(/.f32 u1 (-.f32 1 u1))
31.0ms	u2
27.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.3b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.3b	1	`(/.f32 u1 (-.f32 1 u1))`
0.3b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.3b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 785 to 530 computations (32.5% saved)

regimes254.0ms (2.1%)

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

50.0ms	u2
39.0ms	u1
37.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
36.0ms	(*.f32 314159265359/50000000000 u2)
36.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
3.4b	1	`cosTheta_i`
1.2b	2	`u1`
1.0b	2	`u2`
1.2b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
1.2b	2	`(/.f32 u1 (-.f32 1 u1))`
1.0b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.0b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 596 to 394 computations (33.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08971772342920303	0.09148497134447098

Compiler

Compiled 20 to 16 computations (20% saved)

regimes232.0ms (1.9%)

Counts

38 → 2

Calls

Call 1

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

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

Calls

7 calls:

36.0ms	(/.f32 u1 (-.f32 1 u1))
36.0ms	u1
35.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
35.0ms	(*.f32 314159265359/50000000000 u2)
34.0ms	u2

Results

Error	Segments	Branch
3.4b	1	`cosTheta_i`
2.3b	2	`u1`
1.7b	2	`u2`
2.3b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.3b	2	`(/.f32 u1 (-.f32 1 u1))`
1.7b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.7b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 585 to 388 computations (33.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14216269552707672	0.14881211519241333

Compiler

Compiled 20 to 16 computations (20% saved)

regimes223.0ms (1.8%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

7 calls:

35.0ms	(*.f32 314159265359/50000000000 u2)
34.0ms	u2
34.0ms	(/.f32 u1 (-.f32 1 u1))
34.0ms	u1
33.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
3.4b	1	`cosTheta_i`
2.3b	2	`u1`
1.7b	2	`u2`
2.3b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.3b	2	`(/.f32 u1 (-.f32 1 u1))`
1.7b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.7b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 567 to 375 computations (33.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.14216269552707672	0.14881211519241333

Compiler

Compiled 20 to 16 computations (20% saved)

regimes87.0ms (0.7%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
15.0ms	u2
15.0ms	(/.f32 u1 (-.f32 1 u1))
15.0ms	u1
14.0ms	cosTheta_i

Results

Error	Segments	Branch
3.4b	1	`cosTheta_i`
3.4b	1	`u1`
3.4b	1	`u2`
3.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
3.4b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 506 to 335 computations (33.8% saved)

regimes48.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	u1
9.0ms	cosTheta_i
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
8.0ms	(/.f32 u1 (-.f32 1 u1))
8.0ms	u2

Results

Error	Segments	Branch
3.4b	1	`cosTheta_i`
3.4b	1	`u1`
3.4b	1	`u2`
3.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
3.4b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 170 to 119 computations (30% saved)

regimes57.0ms (0.5%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	u2
11.0ms	cosTheta_i
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
9.0ms	(/.f32 u1 (-.f32 1 u1))
9.0ms	u1

Results

Error	Segments	Branch
5.8b	1	`cosTheta_i`
5.8b	1	`u1`
4.8b	2	`u2`
5.8b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
5.8b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 156 to 110 computations (29.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.0015411140630021691	0.001559313153848052

Compiler

Compiled 20 to 16 computations (20% saved)

regimes44.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	u2
8.0ms	u1
8.0ms	cosTheta_i
8.0ms	(/.f32 u1 (-.f32 1 u1))
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
5.8b	1	`cosTheta_i`
5.8b	1	`u1`
5.8b	1	`u2`
5.8b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
5.8b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 144 to 103 computations (28.5% saved)

regimes12.0ms (0.1%)

Accuracy

Total -2.8b remaining (-31.3%)

Threshold costs -2.8b (-31.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	cosTheta_i
3.0ms	u2
3.0ms	u1

Results

Error	Segments	Branch
8.9b	1	`cosTheta_i`
8.9b	1	`u1`
8.9b	1	`u2`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
24×	`+-commutative`
8×	`sub-neg`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	533
1	93	533
2	102	533
3	106	533
4	108	533

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 3019899/33554432) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 9730785/67108864) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 1 u1))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 9730785/67108864) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 u2 13314399/8589934592) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (.f32 u1 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 3019899/33554432) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 3019899/33554432) (.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 u1)))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 9730785/67108864) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 1 u1))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 9730785/67108864) (.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 (.f32 314159265359/50000000000 u2) 9730785/67108864) (.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 9730785/67108864) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(.f32 (+.f32 (.f32 (*.f32 -98696044010906577398881/5000000000000000000000 u2) u2) 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 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))
(if (<=.f32 u2 13314399/8589934592) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (-.f32 (+.f32 2 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))) 1) (sqrt.f32 u1)))
(if (<=.f32 u2 13314399/8589934592) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 u1) (+.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 2) -1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (*.f32 (+.f32 u1 1) u1))
(sqrt.f32 (*.f32 u1 (+.f32 u1 1)))
(sqrt.f32 u1)

Compiler

Compiled 218 to 164 computations (24.8% saved)

soundness0.0ms (0%)

end93.0ms (0.8%)

Compiler: Compiled 188 to 127 computations (32.4% saved)

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

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

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