Details

analyze165.0ms (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)

sample1.9s (14.7%)

Results

1.9s	8256×	body	256	valid
0.0ms	2×	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)

localize42.0ms (0.3%)

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)))
✓	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series6.0ms (0%)

Counts

4 → 36

Calls

15 calls:

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

rewrite82.0ms (0.6%)

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

simplify112.0ms (0.9%)

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))

eval120.0ms (0.9%)

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

prune63.0ms (0.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	239	20	259
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	239	21	260

Error

0.1b

Counts

260 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	2.2b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
▶	0.4b	(/.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) -1)))
	6.3b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
▶	4.1b	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
▶	0.9b	(.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 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	0.4b	(.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	13.9b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	6.5b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Compiler

Compiled 678 to 537 computations (20.8% saved)

localize60.0ms (0.5%)

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 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.3b	(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
✓	0.4b	(*.f32 u2 98696044010906577398881/2500000000000000000000)

Compiler

Compiled 56 to 38 computations (32.1% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`associate-*r/`
1152×	`associate-*l/`
860×	`associate-/r*`
668×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	306	53
2	3774	53

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Inputs

(*.f32 u2 98696044010906577398881/2500000000000000000000)

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

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

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

Outputs

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

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

((#(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 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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)))))))))

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-/l*`
920×	`times-frac`
888×	`unswap-sqr`
884×	`*-commutative`
796×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3621
1	653	3543
2	2231	3411
3	7826	3411

Stop Event

1×	node limit

Counts

115 → 149

Calls

Call 1

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

localize90.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite123.0ms (1%)

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)))))))))

simplify69.0ms (0.5%)

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)))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.1b	(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.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	u2	@	0	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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	u1	@	-inf	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

rewrite79.0ms (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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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)))))))

simplify111.0ms (0.9%)

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(sqrt.f32 (-.f32 1 u1))
✓	0.3b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 44 to 31 computations (29.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	291	44
2	3788	44

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

626×	`unswap-sqr`
540×	`distribute-lft-in`
538×	`distribute-rgt-in`
478×	`times-frac`
448×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	5457
1	944	5357
2	3613	5259

Stop Event

1×	node limit

Counts

129 → 189

Calls

Call 1

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

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

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.8b	(log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))

Compiler

Compiled 52 to 38 computations (26.9% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`associate-*r/`
1152×	`associate-*l/`
852×	`associate-/r*`
662×	`associate-/l*`
502×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	295	44
2	3482	44

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1240×	`unswap-sqr`
1078×	`associate-*r/`
998×	`associate-/r/`
914×	`associate-/l/`
698×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	3993
1	611	3751
2	3636	3633

Stop Event

1×	node limit

Counts

105 → 158

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)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(.f32 (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 (cos.f32 (*.f32 314159265359/50000000000 u2)) 0)
(+.f32 0 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(+.f32 (.f32 1 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (.f32 1 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(+.f32 (.f32 1 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (.f32 1 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 1)
(.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (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 2 (log.f32 (sqrt.f32 (exp.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))
(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 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 0) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (cbrt.f32 (exp.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 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (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 (.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 (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))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.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)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
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(fma.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (.f32 (/.f32 -1/2 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1))))
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(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 (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 u2 314159265359/50000000000)) (pow.f32 u1 3)))))))
(+.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (.f32 -1/2 (+.f32 (.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))) (.f32 (/.f32 (+.f32 1 (.f32 -1/2 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 3))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
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(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 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1) (.f32 (/.f32 (.f32 1/2 (sqrt.f32 -1)) u1) (cos.f32 (.f32 u2 314159265359/50000000000))))
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(/.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 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 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 (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 (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 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (+.f32 -1 u1)) (sqrt.f32 (neg.f32 u1))))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (neg.f32 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (sqrt.f32 u1)) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1))))
(.f32 (/.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 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 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) u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(.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 (.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)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (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 (.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 (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)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 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 (.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))))
(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))))

eval745.0ms (5.8%)

Compiler: Compiled 26079 to 18808 computations (27.9% saved)

prune455.0ms (3.5%)

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1270	31	1301
Fresh	12	3	15
Picked	1	0	1
Done	1	4	5
Total	1284	38	1322

Error

0.0b

Counts

1322 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	6.7b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	0.6b	(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) -1)
	2.2b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)
	6.7b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
	4.1b	(/.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))
	0.4b	(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
▶	4.2b	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
✓	0.4b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	8.7b	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	6.6b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.7b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.3b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
	4.2b	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
▶	4.1b	(.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))))
	0.5b	(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
	0.6b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	4.1b	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	30.4b	(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 u2 u2))))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
✓	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 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	13.8b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
▶	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))
	13.9b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
✓	6.5b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.6b	(sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))
	6.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	6.6b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	12.5b	(sqrt.f32 u1)

Compiler

Compiled 1183 to 923 computations (22% saved)

localize121.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	0.3b	(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
✓	0.3b	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))
	0.4b	(*.f32 u2 98696044010906577398881/2500000000000000000000)

Compiler

Compiled 89 to 53 computations (40.4% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))

rewrite143.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`associate-/r*`
1224×	`associate-/l*`
384×	`add-sqr-sqrt`
374×	`pow1`
374×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	385	46
2	5099	46

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

Inputs

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

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

Outputs

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((#(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 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)))))))))

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1740×	`distribute-lft-in`
830×	`associate-/l*`
786×	`associate-/l/`
538×	`+-commutative`
504×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	578	9610
1	1545	8576
2	6138	8576

Stop Event

1×	node limit

Counts

216 → 317

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

localize88.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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))))
✓	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)

series30.0ms (0.2%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	u1	@	0	(.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))))
3.0ms	u1	@	inf	(.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))))
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))
1.0ms	u1	@	-inf	(.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))))
0.0ms	u2	@	inf	(.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))))

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`associate-/l/`
392×	`add-sqr-sqrt`
378×	`pow1`
378×	`*-un-lft-identity`
362×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	144
1	385	78
2	5618	78

Stop Event

1×	node limit

Counts

4 → 150

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))
(.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))))

Outputs
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simplify188.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1070×	`associate-+l+`
962×	`associate-+r+`
694×	`+-commutative`
608×	`times-frac`
582×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	409	8586
1	1128	7780
2	5934	7780

Stop Event

1×	node limit

Counts

206 → 263

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))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
1
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Outputs
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(*.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))
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(*.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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1
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(.f32 (/.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) -1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (.f32 (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2)) 4) -1)) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))))
(/.f32 (+.f32 (neg.f32 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) 1) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))))
(.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) (.f32 (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) -1) (+.f32 (.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) -1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (/.f32 (-.f32 1 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) (.f32 (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) -1) (+.f32 -1 (.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2)) 6))) (.f32 (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (neg.f32 (+.f32 (pow.f32 (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2)) 4) (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))))
(/.f32 (+.f32 1 (neg.f32 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 6))) (neg.f32 (.f32 (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) (/.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (-.f32 1 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 6)) (.f32 (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) (neg.f32 (/.f32 (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2)) 4) -1) (sqrt.f32 u1)) (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1) (.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (sqrt.f32 (-.f32 1 u1)))))
(.f32 (/.f32 (+.f32 -1 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1)) (/.f32 (sqrt.f32 u1) (*.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (sqrt.f32 (-.f32 1 u1)))))
(.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) -1)) (/.f32 (+.f32 -1 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) (*.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (.f32 (+.f32 -1 (pow.f32 (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2)) 6)) (sqrt.f32 u1)) (.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1) (.f32 (+.f32 (pow.f32 (.f32 u2 (.f32 -98696044010906577398881/5000000000000000000000 u2)) 4) (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (.f32 (+.f32 -1 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 6)) (sqrt.f32 u1)) (.f32 (.f32 (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1)) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (+.f32 -1 (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 6)) (/.f32 (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) -1) (sqrt.f32 u1))) (.f32 (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (pow.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) 4)) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (-.f32 1 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))) (sqrt.f32 u1)) (.f32 (-.f32 1 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2))) (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (/.f32 (-.f32 1 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))) (-.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 (-.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) (sqrt.f32 (-.f32 1 u1)))) (+.f32 1 (*.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)))
(/.f32 (.f32 (sqrt.f32 u1) 1) (.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))))
(/.f32 1 (/.f32 (.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)))
(/.f32 (fma.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1)) (.f32 (sqrt.f32 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) -1)))
(.f32 (/.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) -1)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) -1)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 u1) (-.f32 1 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (.f32 (sqrt.f32 (-.f32 1 u1)) (-.f32 1 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (/.f32 (-.f32 1 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4))) (-.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (/.f32 (sqrt.f32 u1) (.f32 (-.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) (sqrt.f32 (-.f32 1 u1)))) (+.f32 1 (*.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)))
(/.f32 (neg.f32 (.f32 (fma.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (-.f32 1 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2))))
(/.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (.f32 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (-.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))) (+.f32 1 (.f32 (pow.f32 u2 4) -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000)))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))) 2)
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))) 3)
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 3) 1/3)
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1) 2)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1)) 3))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))) 1))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))

localize97.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.1b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.4b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 48 to 35 computations (27.1% saved)

series38.0ms (0.3%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	u2	@	inf	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
2.0ms	u1	@	-inf	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
1.0ms	u1	@	inf	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
1.0ms	u1	@	0	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
1.0ms	u2	@	0	(/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`associate-/l*`
986×	`associate-/r/`
618×	`associate-/l/`
594×	`distribute-lft-in`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	313	60
2	4044	60

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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simplify178.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

834×	`associate-+r+`
714×	`associate-+l+`
632×	`*-commutative`
588×	`distribute-lft-neg-in`
570×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	8297
1	1360	7285
2	5185	7213

Stop Event

1×	node limit

Counts

167 → 250

Calls

Call 1

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

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

localize62.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	1.6b	(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))

Compiler

Compiled 56 to 40 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`associate-*r/`
996×	`associate-*l/`
840×	`associate-/r*`
652×	`associate-/l*`
480×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	294	46
2	3468	46

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs

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

simplify164.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1302×	`distribute-lft-in`
1074×	`associate-/l*`
632×	`associate-r`
582×	`associate-l`
544×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	555	7534
1	1505	7210
2	6380	7206

Stop Event

1×	node limit

Counts

226 → 330

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

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

eval1.2s (9.3%)

Compiler: Compiled 35674 to 25111 computations (29.6% saved)

prune640.0ms (5%)

Pruning

43 alts after pruning (36 fresh and 7 done)

	Pruned	Kept	Total
New	1420	19	1439
Fresh	12	17	29
Picked	0	1	1
Done	2	6	8
Total	1434	43	1477

Error

0.0b

Counts

1477 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	6.7b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	4.3b	(pow.f32 (/.f32 (fma.f32 u1 -1/2 1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) -1)
	2.2b	(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
	0.9b	(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
	6.7b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	4.1b	(/.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))
	0.4b	(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
✓	4.2b	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
	4.2b	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))
✓	0.4b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
▶	8.7b	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))))
	9.2b	(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
▶	0.5b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
▶	6.7b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	4.2b	(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
	4.3b	(.f32 (/.f32 (sqrt.f32 u1) (/.f32 (neg.f32 (+.f32 1 (.f32 -1/4 (.f32 u1 u1)))) (cos.f32 (.f32 u2 314159265359/50000000000)))) (+.f32 -1 (neg.f32 (*.f32 u1 1/2))))
	4.3b	(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
	4.3b	(.f32 (/.f32 1 (fma.f32 u1 -1/2 1)) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	9.3b	(.f32 (/.f32 1 (+.f32 1 (.f32 -1/2 u1))) (sqrt.f32 u1))
	4.1b	(.f32 (-.f32 (+.f32 2 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	4.1b	(.f32 (-.f32 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
▶	4.1b	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	4.2b	(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
	30.4b	(.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.4b	(.f32 (sqrt.f32 (/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	3.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 u2 u2))))))
	30.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))))
✓	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 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	13.8b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	13.9b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	6.5b	(sqrt.f32 (/.f32 (+.f32 u1 (.f32 u1 u1)) (-.f32 1 (.f32 u1 u1))))
	6.6b	(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
✓	6.5b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	12.5b	(sqrt.f32 u1)

Compiler

Compiled 1296 to 1019 computations (21.4% saved)

localize66.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (-.f32 1 u1) u1)
✓	0.3b	(/.f32 1 (/.f32 (-.f32 1 u1) u1))
	0.3b	(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
	0.4b	(*.f32 u2 98696044010906577398881/2500000000000000000000)

Compiler

Compiled 67 to 47 computations (29.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`add-sqr-sqrt`
1728×	`*-un-lft-identity`
1624×	`add-cube-cbrt`
1606×	`add-cbrt-cube`
156×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	158	26
2	2204	26

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-*r/`
976×	`times-frac`
886×	`associate-/r*`
816×	`unswap-sqr`
804×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	1484
1	522	1448
2	2006	1442

Stop Event

1×	node limit

Counts

100 → 106

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

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

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 23 computations (17.9% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

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

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

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

120 → 154

Calls

Call 1

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

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

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 30 computations (40% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite135.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`associate-*l/`
1056×	`associate-/r*`
766×	`associate-/l*`
526×	`associate-/r/`
304×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	299	50
2	3906	50

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

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

Outputs

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simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1582×	`associate-/r*`
1564×	`distribute-lft-in`
934×	`associate-*r/`
878×	`associate-/l/`
718×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	6943
1	915	6591
2	3585	6589

Stop Event

1×	node limit

Counts

135 → 199

Calls

Call 1

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

Outputs
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2))
(*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))
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(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
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localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 22 computations (29% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

15 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	242	56
2	2964	56

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

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

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1096×	`distribute-rgt-neg-out`
1080×	`distribute-lft-neg-out`
810×	`associate-r`
688×	`associate-l`
540×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	6519
1	1030	6121
2	4729	6103

Stop Event

1×	node limit

Counts

241 → 292

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

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 u1)
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 u1) (*.f32 u2 u2))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 u1) (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 4)))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(+.f32 (sqrt.f32 u1) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 6)) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 u1) (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 4))))))
(+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 -98696044010906577398881/5000000000000000000000 u2) u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1) (sqrt.f32 u1)))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
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)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
1
(+.f32 1 (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000))
(fma.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000 1)
(+.f32 (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2))))
(fma.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (pow.f32 u2 4) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (fma.f32 (*.f32 u2 u2) 98696044010906577398881/5000000000000000000000 1))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 1 (+.f32 (.f32 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)))))
(fma.f32 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (pow.f32 u2 4) (+.f32 1 (fma.f32 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000))))
(+.f32 (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (fma.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000 1)) (.f32 (pow.f32 u2 6) 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000))
(+.f32 (fma.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 6) 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000)) (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 1))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(*.f32 314159265359/50000000000 u2)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(*.f32 314159265359/50000000000 u2)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(*.f32 314159265359/50000000000 u2)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(*.f32 314159265359/50000000000 u2)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(*.f32 314159265359/50000000000 u2)
(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(*.f32 314159265359/50000000000 u2)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(*.f32 314159265359/50000000000 u2)
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(*.f32 314159265359/50000000000 u2)
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 314159265359/50000000000 u2)
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 314159265359/50000000000 u2)
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(*.f32 314159265359/50000000000 u2)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 1 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (.f32 (pow.f32 u1 1/4) (pow.f32 u1 1/4)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 1/2))
(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 u1) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 u1))))
(.f32 (cbrt.f32 (sqrt.f32 u1)) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 u1)))
(.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (/.f32 u1 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2))))
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(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -1/2))) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) -2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -1/2))))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2))) (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2))))))
(.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -2)) (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) -1/2)) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1/2))))
(pow.f32 (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))) 1)
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -1/2) 2)
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (/.f32 1 (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))) 3)
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (/.f32 1 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)) 1/3)
(cbrt.f32 (/.f32 1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -1)
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(neg.f32 (/.f32 -1 (cos.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) -2))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -2))
(log.f32 (exp.f32 (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(cbrt.f32 (/.f32 1 (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (/.f32 1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (neg.f32 (log.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sqrt.f32 (-.f32 1 u1))
✓	0.3b	(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
✓	0.3b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	0.4b	(*.f32 u2 314159265359/50000000000)

Compiler

Compiled 42 to 28 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`swap-sqr`
820×	`associate-/r/`
532×	`associate-/l/`
436×	`distribute-rgt-in`
434×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	293	50
2	3845	50

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-/r/`
736×	`distribute-rgt-in`
728×	`distribute-lft-in`
510×	`*-commutative`
476×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	7185
1	1160	6413
2	4408	6325

Stop Event

1×	node limit

Counts

165 → 267

Calls

Call 1

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

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

eval538.0ms (4.2%)

Compiler: Compiled 26072 to 19680 computations (24.5% saved)

prune479.0ms (3.7%)

Pruning

47 alts after pruning (36 fresh and 11 done)

	Pruned	Kept	Total
New	1282	15	1297
Fresh	10	21	31
Picked	1	0	1
Done	0	11	11
Total	1293	47	1340

Error

0.0b

Counts

1340 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	6.7b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	6.6b	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
	2.2b	(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
	10.0b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)
	0.9b	(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
	6.7b	(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)
	4.1b	(/.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))
	0.4b	(/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 -1 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
✓	4.2b	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (.f32 314159265359/50000000000 u2))))
	4.2b	(/.f32 (sqrt.f32 u1) (/.f32 (+.f32 1 (.f32 -1/2 u1)) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))
✓	0.4b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
✓	8.7b	(/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (*.f32 u2 314159265359/50000000000))))
	11.5b	(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (.f32 u2 u2) 98696044010906577398881/5000000000000000000000)))
	9.2b	(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
	8.7b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 u1)))
	0.4b	(/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	6.6b	(/.f32 1 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
	12.6b	(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
✓	6.7b	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	8.8b	(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 u2 314159265359/50000000000))))
	4.3b	(.f32 (/.f32 (sqrt.f32 u1) (/.f32 (neg.f32 (+.f32 1 (.f32 -1/4 (.f32 u1 u1)))) (cos.f32 (.f32 u2 314159265359/50000000000)))) (+.f32 -1 (neg.f32 (*.f32 u1 1/2))))
	4.3b	(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (*.f32 -1/2 u1))) (sqrt.f32 u1))
	4.3b	(.f32 (/.f32 1 (fma.f32 u1 -1/2 1)) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	9.3b	(.f32 (/.f32 1 (+.f32 1 (.f32 -1/2 u1))) (sqrt.f32 u1))
	4.1b	(.f32 (-.f32 (+.f32 2 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2))) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	4.1b	(.f32 (-.f32 (.f32 u2 (*.f32 -98696044010906577398881/5000000000000000000000 u2)) -1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	4.2b	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
	4.3b	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
✓	4.1b	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	4.2b	(.f32 (+.f32 (.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)))
	11.2b	(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 u1))
	3.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 u2 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 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	0.3b	(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	13.8b	(.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	2.5b	(.f32 (sqrt.f32 (.f32 (+.f32 (.f32 u1 u1) 1) (fma.f32 u1 u1 u1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	13.9b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	6.5b	(sqrt.f32 (/.f32 (+.f32 u1 (.f32 u1 u1)) (-.f32 1 (.f32 u1 u1))))
✓	6.5b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	12.5b	(sqrt.f32 u1)

Compiler

Compiled 744 to 593 computations (20.3% saved)

regimes478.0ms (3.7%)

Counts

86 → 1

Calls

Call 1

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

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

Calls

8 calls:

82.0ms	(/.f32 u1 (-.f32 1 u1))
75.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
73.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
67.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
40.0ms	u1

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 1222 to 867 computations (29.1% saved)

regimes224.0ms (1.7%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	u1
28.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
27.0ms	(/.f32 u1 (-.f32 1 u1))
26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
26.0ms	(*.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 793 to 543 computations (31.5% saved)

regimes215.0ms (1.7%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

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 735 to 501 computations (31.8% saved)

regimes300.0ms (2.3%)

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

73.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
49.0ms	u1
47.0ms	(/.f32 u1 (-.f32 1 u1))
44.0ms	(*.f32 314159265359/50000000000 u2)
30.0ms	u2

Results

Error	Segments	Branch
3.1b	1	`cosTheta_i`
2.0b	2	`u1`
1.4b	2	`u2`
2.0b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.0b	2	`(/.f32 u1 (-.f32 1 u1))`
1.4b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.4b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 460 to 310 computations (32.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8620046377182007	0.8710070252418518

Compiler

Compiled 20 to 16 computations (20% saved)

regimes265.0ms (2.1%)

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

73.0ms	u1
44.0ms	(/.f32 u1 (-.f32 1 u1))
44.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
30.0ms	(*.f32 314159265359/50000000000 u2)
29.0ms	u2

Results

Error	Segments	Branch
3.1b	1	`cosTheta_i`
2.0b	2	`u1`
1.4b	2	`u2`
2.0b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.0b	2	`(/.f32 u1 (-.f32 1 u1))`
1.4b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.4b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 433 to 291 computations (32.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5135478973388672	0.5315850973129272

Compiler

Compiled 20 to 16 computations (20% saved)

regimes79.0ms (0.6%)

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

18.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
14.0ms	(/.f32 u1 (-.f32 1 u1))
13.0ms	u1
13.0ms	cosTheta_i
13.0ms	u2

Results

Error	Segments	Branch
3.1b	1	`cosTheta_i`
3.1b	1	`u1`
3.1b	1	`u2`
3.1b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
3.1b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 382 to 256 computations (33% saved)

regimes89.0ms (0.7%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

35.0ms	u1
13.0ms	(/.f32 u1 (-.f32 1 u1))
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
11.0ms	cosTheta_i
11.0ms	u2

Results

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

Compiler

Compiled 306 to 210 computations (31.4% saved)

regimes61.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

5 calls:

23.0ms	u2
9.0ms	(/.f32 u1 (-.f32 1 u1))
8.0ms	cosTheta_i
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
8.0ms	u1

Results

Error	Segments	Branch
6.5b	1	`cosTheta_i`
6.5b	1	`u1`
5.4b	3	`u2`
6.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.5b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 176 to 122 computations (30.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.7339289784431458	0.7740110754966736
0.0ms	0.000799462606664747	0.0008124696323648095

Compiler

Compiled 20 to 16 computations (20% saved)

regimes53.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	u2
8.0ms	(/.f32 u1 (-.f32 1 u1))
8.0ms	u1
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
7.0ms	cosTheta_i

Results

Error	Segments	Branch
6.5b	1	`cosTheta_i`
6.5b	1	`u1`
5.4b	3	`u2`
6.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.5b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 140 to 102 computations (27.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	0.7339289784431458	0.7740110754966736
0.0ms	0.000799462606664747	0.0008124696323648095

Compiler

Compiled 20 to 16 computations (20% saved)

regimes31.0ms (0.2%)

Accuracy

Total -6.1b remaining (-93.2%)

Threshold costs -6.1b (-93.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	u1
6.0ms	(/.f32 u1 (-.f32 1 u1))
5.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.0ms	u2
5.0ms	cosTheta_i

Results

Error	Segments	Branch
6.5b	1	`cosTheta_i`
6.5b	1	`u1`
6.5b	1	`u2`
6.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.5b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 87 to 66 computations (24.1% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
20×	`+-commutative`
8×	`sub-neg`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	603
1	89	603
2	98	603
3	102	603
4	104	603

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 7298089/8388608) (/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 u2 u2)))))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 1090519/2097152) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2)))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 u2 u2))))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 u2 13743895/17179869184) (sqrt.f32 (/.f32 (+.f32 u1 (.f32 u1 u1)) (-.f32 1 (.f32 u1 u1)))) (if (<=.f32 u2 3/4) (.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 u1)) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/17179869184) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (if (<=.f32 u2 3/4) (.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 u1)) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(.f32 (cos.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 7298089/8388608) (/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 u2 u2)))))))
(if (<=.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 7298089/8388608) (/.f32 (sqrt.f32 u1) (/.f32 1 (cos.f32 (.f32 u2 314159265359/50000000000)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 1090519/2097152) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 u2 u2)))))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 u2 314159265359/50000000000) 1090519/2097152) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 u2 u2))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 (*.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000)))
(if (<=.f32 u2 13743895/17179869184) (sqrt.f32 (/.f32 (+.f32 u1 (.f32 u1 u1)) (-.f32 1 (.f32 u1 u1)))) (if (<=.f32 u2 3/4) (.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 u1)) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/17179869184) (sqrt.f32 (/.f32 (+.f32 u1 (.f32 u1 u1)) (-.f32 1 (.f32 u1 u1)))) (if (<=.f32 u2 3/4) (.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000))) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/17179869184) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (if (<=.f32 u2 3/4) (.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 u1)) (sqrt.f32 u1)))
(if (<=.f32 u2 13743895/17179869184) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (if (<=.f32 u2 3/4) (.f32 (sqrt.f32 u1) (+.f32 1 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000))) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Compiler

Compiled 243 to 177 computations (27.2% saved)

soundness149.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1330×	`associate-/r/`
1330×	`associate-/r/`
712×	`associate-r`
712×	`associate-r`
604×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 96 to 66 computations (31.3% saved)

end125.0ms (1%)

Compiler: Compiled 213 to 138 computations (35.2% 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